tutorials/RPRN-Functions.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Robustness and Plasticity in Regulatory Networks\n",
    "\n",
    "* [Introduction](./RPRN-Introduction.ipynb)\n",
    "* [BoolNet](./RPRN-BoolNet.ipynb)\n",
    "* [Functions](#Functions)\n",
    "    * [Overexpression and KnockOuts](#Overexpression-and-KnockOuts)\n",
    "    * [Fixed environments](#Fixed-environments)\n",
    "    * [Truth tables](#Truth-tables)\n",
    "* [Updating](./RPRN-Updating.ipynb)\n",
    "* [States and trajectories](./RPRN-States-Trajectories.ipynb)\n",
    "* [Appendix](./RPRN-Appendix.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Functions\n",
    "\n",
    "Functions recapitulate the regulatory interactions and determine the dynamic of the Boolean regulatory network. They are limited by the topology, as nodes can only be directly influeced by their regulators. Changing the functions of a network can create a whole new network. This new network may share some attractors -or cell types- with the original network, but it may also lose or gain other attractors.\n",
    "\n",
    "The changes in the functions of a network can be associated with multiple biological phenomena. Experiments, environmental factors, evolution, epigenetics and the intrinsic flexibility of the regulatory mechanisms all alter the iteractions of the regulatory network of a biological system."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this tutorial we will use some of the existing BoolNet functions to study the effect of perturbing the network functions. We will also use some of the labeling functions we discussed in the [BoolNet]((./RPRN-BoolNet.ipynb)) introduction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "#Uncomment next line if you haven't installed BoolNet\n",
    "#install.packages(\"BoolNet\", repos='http://cran.us.r-project.org')\n",
    "library(BoolNet)\n",
    "library(BoolNetPerturb)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Overexpression and KnockOuts\n",
    "\n",
    "A lot of experiments  inhibit or overexpress genes, with is equivalent to fixing the functions to 0 or 1. Studing this perturbations is useful for validating the network with known gain and loss of function experiments. It can also be used to predict the effect of difficult experiments like letal or conditional mutants."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we need to know how our wild type network will behave. We will use the Th17/iTreg network."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "net <- loadNetwork(\"minTh17iTreg.txt\")\n",
    "WT.attr <- getAttractors(net)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, analysing this structure can be complicated, we will label them and convert them to a data frame. Here we will use the __attractor2dataframe()__ and __labelAttractors()__ functions."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we will declare our labelling rules, which can be found in the `BoolNetPerturb` data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>labels</th><th scope=col>rules</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>Th0</td><td>!(RORGT | FOXP3 | TGFB | IL10)</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>Th17</td><td>RORGT & STAT3</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>Treg</td><td>FOXP3 & TGFB</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>IL10+</td><td>IL10</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>TGFB+</td><td>TGFB & ! (RORGT | FOXP3)</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>RORGT+</td><td>RORGT & ! STAT3</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & labels & rules\\\\\n",
       "\\hline\n",
       "\t1 & Th0 & !(RORGT | FOXP3 | TGFB | IL10)\\\\\n",
       "\t2 & Th17 & RORGT & STAT3\\\\\n",
       "\t3 & Treg & FOXP3 & TGFB\\\\\n",
       "\t4 & IL10+ & IL10\\\\\n",
       "\t5 & TGFB+ & TGFB & ! (RORGT | FOXP3)\\\\\n",
       "\t6 & RORGT+ & RORGT & ! STAT3\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "  labels                          rules\n",
       "1    Th0 !(RORGT | FOXP3 | TGFB | IL10)\n",
       "2   Th17                  RORGT & STAT3\n",
       "3   Treg                   FOXP3 & TGFB\n",
       "4  IL10+                           IL10\n",
       "5  TGFB+       TGFB & ! (RORGT | FOXP3)\n",
       "6 RORGT+                RORGT & ! STAT3"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data(labelsRulesTh17iTreg)\n",
    "labels.rules <- labelsRulesTh17iTreg\n",
    "labels.rules"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next we will create a data frame with the information of the labeled attractors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>involvedStates</th><th scope=col>basinSize</th><th scope=col>label</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>0</td><td>27</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>1</td><td>2</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>4</td><td>14</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>16</td><td>13</td><td>TGFB+</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>48</td><td>8</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>65</td><td>35</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>7</th><td>68</td><td>8</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>89</td><td>13</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>112</td><td>3</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>10</th><td>121</td><td>1</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>11</th><td>132</td><td>54</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>129</td><td>2</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>13</th><td>176</td><td>8</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>14</th><td>193</td><td>2</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>15</th><td>196</td><td>8</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>16</th><td>217</td><td>10</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>17</th><td>240</td><td>3</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>18</th><td>249</td><td>1</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>19</th><td>272</td><td>26</td><td>TGFB+</td></tr>\n",
       "\t<tr><th scope=row>20</th><td>278</td><td>14</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>21</th><td>304</td><td>24</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>22</th><td>345</td><td>26</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>23</th><td>342</td><td>8</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>24</th><td>368</td><td>19</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>25</th><td>377</td><td>1</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>26</th><td>406</td><td>40</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>27</th><td>432</td><td>24</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>28</th><td>473</td><td>12</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>29</th><td>470</td><td>8</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>30</th><td>496</td><td>19</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>31</th><td>505</td><td>1</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>32</th><td>544</td><td>43</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>33</th><td>560</td><td>21</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>34</th><td>608</td><td>43</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>35</th><td>633</td><td>5</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>36</th><td>624</td><td>3</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>37</th><td>672</td><td>46</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>38</th><td>688</td><td>18</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>39</th><td>736</td><td>46</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>40</th><td>761</td><td>5</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>41</th><td>752</td><td>3</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>42</th><td>816</td><td>64</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>43</th><td>880</td><td>43</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>44</th><td>889</td><td>5</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>45</th><td>944</td><td>64</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>46</th><td>1008</td><td>47</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>47</th><td>1017</td><td>5</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>48</th><td>113/120</td><td>4</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>49</th><td>192/197</td><td>36</td><td>Th0/Th0</td></tr>\n",
       "\t<tr><th scope=row>50</th><td>241/248</td><td>4</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>51</th><td>338/341</td><td>6</td><td>RORGT+/TGFB+</td></tr>\n",
       "\t<tr><th scope=row>52</th><td>369/376</td><td>4</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>53</th><td>466/469</td><td>20</td><td>RORGT+/TGFB+</td></tr>\n",
       "\t<tr><th scope=row>54</th><td>497/504</td><td>4</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>55</th><td>625/632</td><td>13</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>56</th><td>753/760</td><td>10</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>57</th><td>881/888</td><td>16</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>58</th><td>1009/1016</td><td>12</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       "  & involvedStates & basinSize & label\\\\\n",
       "\\hline\n",
       "\t1 & 0 & 27 & Th0\\\\\n",
       "\t2 & 1 & 2 & Th0\\\\\n",
       "\t3 & 4 & 14 & Th0\\\\\n",
       "\t4 & 16 & 13 & TGFB+\\\\\n",
       "\t5 & 48 & 8 & IL10+TGFB+\\\\\n",
       "\t6 & 65 & 35 & Th0\\\\\n",
       "\t7 & 68 & 8 & Th0\\\\\n",
       "\t8 & 89 & 13 & Treg\\\\\n",
       "\t9 & 112 & 3 & IL10+TGFB+\\\\\n",
       "\t10 & 121 & 1 & TregIL10+\\\\\n",
       "\t11 & 132 & 54 & Th0\\\\\n",
       "\t12 & 129 & 2 & Th0\\\\\n",
       "\t13 & 176 & 8 & IL10+TGFB+\\\\\n",
       "\t14 & 193 & 2 & Th0\\\\\n",
       "\t15 & 196 & 8 & Th0\\\\\n",
       "\t16 & 217 & 10 & Treg\\\\\n",
       "\t17 & 240 & 3 & IL10+TGFB+\\\\\n",
       "\t18 & 249 & 1 & TregIL10+\\\\\n",
       "\t19 & 272 & 26 & TGFB+\\\\\n",
       "\t20 & 278 & 14 & Th17\\\\\n",
       "\t21 & 304 & 24 & IL10+TGFB+\\\\\n",
       "\t22 & 345 & 26 & Treg\\\\\n",
       "\t23 & 342 & 8 & Th17\\\\\n",
       "\t24 & 368 & 19 & IL10+TGFB+\\\\\n",
       "\t25 & 377 & 1 & TregIL10+\\\\\n",
       "\t26 & 406 & 40 & Th17\\\\\n",
       "\t27 & 432 & 24 & IL10+TGFB+\\\\\n",
       "\t28 & 473 & 12 & Treg\\\\\n",
       "\t29 & 470 & 8 & Th17\\\\\n",
       "\t30 & 496 & 19 & IL10+TGFB+\\\\\n",
       "\t31 & 505 & 1 & TregIL10+\\\\\n",
       "\t32 & 544 & 43 & IL10+\\\\\n",
       "\t33 & 560 & 21 & IL10+TGFB+\\\\\n",
       "\t34 & 608 & 43 & IL10+\\\\\n",
       "\t35 & 633 & 5 & TregIL10+\\\\\n",
       "\t36 & 624 & 3 & IL10+TGFB+\\\\\n",
       "\t37 & 672 & 46 & IL10+\\\\\n",
       "\t38 & 688 & 18 & IL10+TGFB+\\\\\n",
       "\t39 & 736 & 46 & IL10+\\\\\n",
       "\t40 & 761 & 5 & TregIL10+\\\\\n",
       "\t41 & 752 & 3 & IL10+TGFB+\\\\\n",
       "\t42 & 816 & 64 & IL10+TGFB+\\\\\n",
       "\t43 & 880 & 43 & IL10+TGFB+\\\\\n",
       "\t44 & 889 & 5 & TregIL10+\\\\\n",
       "\t45 & 944 & 64 & IL10+TGFB+\\\\\n",
       "\t46 & 1008 & 47 & IL10+TGFB+\\\\\n",
       "\t47 & 1017 & 5 & TregIL10+\\\\\n",
       "\t48 & 113/120 & 4 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t49 & 192/197 & 36 & Th0/Th0\\\\\n",
       "\t50 & 241/248 & 4 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t51 & 338/341 & 6 & RORGT+/TGFB+\\\\\n",
       "\t52 & 369/376 & 4 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t53 & 466/469 & 20 & RORGT+/TGFB+\\\\\n",
       "\t54 & 497/504 & 4 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t55 & 625/632 & 13 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t56 & 753/760 & 10 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t57 & 881/888 & 16 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t58 & 1009/1016 & 12 & IL10+TGFB+/TregIL10+\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "   involvedStates basinSize                label\n",
       "1               0        27                  Th0\n",
       "2               1         2                  Th0\n",
       "3               4        14                  Th0\n",
       "4              16        13                TGFB+\n",
       "5              48         8           IL10+TGFB+\n",
       "6              65        35                  Th0\n",
       "7              68         8                  Th0\n",
       "8              89        13                 Treg\n",
       "9             112         3           IL10+TGFB+\n",
       "10            121         1            TregIL10+\n",
       "11            132        54                  Th0\n",
       "12            129         2                  Th0\n",
       "13            176         8           IL10+TGFB+\n",
       "14            193         2                  Th0\n",
       "15            196         8                  Th0\n",
       "16            217        10                 Treg\n",
       "17            240         3           IL10+TGFB+\n",
       "18            249         1            TregIL10+\n",
       "19            272        26                TGFB+\n",
       "20            278        14                 Th17\n",
       "21            304        24           IL10+TGFB+\n",
       "22            345        26                 Treg\n",
       "23            342         8                 Th17\n",
       "24            368        19           IL10+TGFB+\n",
       "25            377         1            TregIL10+\n",
       "26            406        40                 Th17\n",
       "27            432        24           IL10+TGFB+\n",
       "28            473        12                 Treg\n",
       "29            470         8                 Th17\n",
       "30            496        19           IL10+TGFB+\n",
       "31            505         1            TregIL10+\n",
       "32            544        43                IL10+\n",
       "33            560        21           IL10+TGFB+\n",
       "34            608        43                IL10+\n",
       "35            633         5            TregIL10+\n",
       "36            624         3           IL10+TGFB+\n",
       "37            672        46                IL10+\n",
       "38            688        18           IL10+TGFB+\n",
       "39            736        46                IL10+\n",
       "40            761         5            TregIL10+\n",
       "41            752         3           IL10+TGFB+\n",
       "42            816        64           IL10+TGFB+\n",
       "43            880        43           IL10+TGFB+\n",
       "44            889         5            TregIL10+\n",
       "45            944        64           IL10+TGFB+\n",
       "46           1008        47           IL10+TGFB+\n",
       "47           1017         5            TregIL10+\n",
       "48        113/120         4 IL10+TGFB+/TregIL10+\n",
       "49        192/197        36              Th0/Th0\n",
       "50        241/248         4 IL10+TGFB+/TregIL10+\n",
       "51        338/341         6         RORGT+/TGFB+\n",
       "52        369/376         4 IL10+TGFB+/TregIL10+\n",
       "53        466/469        20         RORGT+/TGFB+\n",
       "54        497/504         4 IL10+TGFB+/TregIL10+\n",
       "55        625/632        13 IL10+TGFB+/TregIL10+\n",
       "56        753/760        10 IL10+TGFB+/TregIL10+\n",
       "57        881/888        16 IL10+TGFB+/TregIL10+\n",
       "58      1009/1016        12 IL10+TGFB+/TregIL10+"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "WT.attr.df <- attractor2dataframe(WT.attr) \n",
    "WT.labels <- labelAttractors(WT.attr, net$genes, labels.rules$labels, labels.rules$rules)\n",
    "WT.attr.df$label <- sapply(WT.labels, function(l) paste(as.character(l), collapse='/')  )\n",
    "WT.attr.df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can reduce this table to express the states and the total basin size according with the labels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>states</th><th scope=col>basin</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>IL10+</th><td>544, 608, 672, 736</td><td>178</td></tr>\n",
       "\t<tr><th scope=row>IL10+TGFB+</th><td>48, 112, 176, 240, 304, 368, 432, 496, 560, 624, 688, 752, 816, 880, 944, 1008</td><td>371</td></tr>\n",
       "\t<tr><th scope=row>IL10+TGFB+/TregIL10+</th><td>113/120, 241/248, 369/376, 497/504, 625/632, 753/760, 881/888, 1009/1016</td><td>67</td></tr>\n",
       "\t<tr><th scope=row>RORGT+/TGFB+</th><td>338/341, 466/469</td><td>26</td></tr>\n",
       "\t<tr><th scope=row>TGFB+</th><td>16, 272</td><td>39</td></tr>\n",
       "\t<tr><th scope=row>Th0</th><td>0, 1, 4, 65, 68, 132, 129, 193, 196</td><td>152</td></tr>\n",
       "\t<tr><th scope=row>Th0/Th0</th><td>192/197</td><td>36</td></tr>\n",
       "\t<tr><th scope=row>Th17</th><td>278, 342, 406, 470</td><td>70</td></tr>\n",
       "\t<tr><th scope=row>Treg</th><td>89, 217, 345, 473</td><td>61</td></tr>\n",
       "\t<tr><th scope=row>TregIL10+</th><td>121, 249, 377, 505, 633, 761, 889, 1017</td><td>24</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & states & basin\\\\\n",
       "\\hline\n",
       "\tIL10+ & 544, 608, 672, 736 & 178\\\\\n",
       "\tIL10+TGFB+ & 48, 112, 176, 240, 304, 368, 432, 496, 560, 624, 688, 752, 816, 880, 944, 1008 & 371\\\\\n",
       "\tIL10+TGFB+/TregIL10+ & 113/120, 241/248, 369/376, 497/504, 625/632, 753/760, 881/888, 1009/1016 & 67\\\\\n",
       "\tRORGT+/TGFB+ & 338/341, 466/469 & 26\\\\\n",
       "\tTGFB+ & 16, 272 & 39\\\\\n",
       "\tTh0 & 0, 1, 4, 65, 68, 132, 129, 193, 196 & 152\\\\\n",
       "\tTh0/Th0 & 192/197 & 36\\\\\n",
       "\tTh17 & 278, 342, 406, 470 & 70\\\\\n",
       "\tTreg & 89, 217, 345, 473 & 61\\\\\n",
       "\tTregIL10+ & 121, 249, 377, 505, 633, 761, 889, 1017 & 24\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "                                                                                             states\n",
       "IL10+                                                                            544, 608, 672, 736\n",
       "IL10+TGFB+           48, 112, 176, 240, 304, 368, 432, 496, 560, 624, 688, 752, 816, 880, 944, 1008\n",
       "IL10+TGFB+/TregIL10+       113/120, 241/248, 369/376, 497/504, 625/632, 753/760, 881/888, 1009/1016\n",
       "RORGT+/TGFB+                                                                       338/341, 466/469\n",
       "TGFB+                                                                                       16, 272\n",
       "Th0                                                             0, 1, 4, 65, 68, 132, 129, 193, 196\n",
       "Th0/Th0                                                                                     192/197\n",
       "Th17                                                                             278, 342, 406, 470\n",
       "Treg                                                                              89, 217, 345, 473\n",
       "TregIL10+                                                   121, 249, 377, 505, 633, 761, 889, 1017\n",
       "                     basin\n",
       "IL10+                  178\n",
       "IL10+TGFB+             371\n",
       "IL10+TGFB+/TregIL10+    67\n",
       "RORGT+/TGFB+            26\n",
       "TGFB+                   39\n",
       "Th0                    152\n",
       "Th0/Th0                 36\n",
       "Th17                    70\n",
       "Treg                    61\n",
       "TregIL10+               24"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "WT.by.label <- data.frame(\n",
    "    states = tapply(WT.attr.df$involvedStates, WT.attr.df$label, paste),\n",
    "    basin = tapply(WT.attr.df$basin, WT.attr.df$label, sum)\n",
    ")\n",
    "WT.by.label"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now that we know the behavior of the WT network we can begin to perturb it. \n",
    "\n",
    "We will do a knock-out experiment, where the value of STAT3 will always be zero. This would be equivalent to deleting the STAT3 gene or inhibiting all the signaling pathways that end in STAT3 activation.\n",
    "\n",
    "We can fix the value of the node in the original network or we can create a second mutant network. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Boolean network with 10 genes\n",
       "\n",
       "Involved genes:\n",
       "IL2 RORGT STAT3 FOXP3 TGFB IL10 IL2e IL21e TGFBe IL10e\n",
       "\n",
       "Transition functions:\n",
       "IL2 = (IL2e | (IL2 &  ! FOXP3)) &  ! (STAT3 | (IL10 & ! FOXP3))\n",
       "RORGT = (STAT3 & TGFB) &  ! FOXP3\n",
       "STAT3 = (IL21e | STAT3 | RORGT) &  ! (IL10 | IL2)\n",
       "FOXP3 = (IL2 & (TGFB | FOXP3)) &  ! (STAT3 | RORGT)\n",
       "TGFB = TGFBe | ((TGFB | FOXP3) &  ! STAT3 )\n",
       "IL10 = IL10e | (IL10 & (STAT3 | TGFB))\n",
       "IL2e = IL2e\n",
       "IL21e = IL21e\n",
       "TGFBe = TGFBe\n",
       "IL10e = IL10e\n",
       "\n",
       "Knocked-out and over-expressed genes:\n",
       "STAT3 = 0"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "KO.net <- fixGenes(net, \"STAT3\", 0)\n",
    "KO.net"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "When doing this be careful of checking the value of the fixed genes to avoid mistakes. You can see this in network$fixed, if the value is -1 BoolNet will use the original function, if the value is 0 the node value will always be 0, and if the value is 1 the node value will always be 1."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<dl class=dl-horizontal>\n",
       "\t<dt>IL2</dt>\n",
       "\t\t<dd>-1</dd>\n",
       "\t<dt>RORGT</dt>\n",
       "\t\t<dd>-1</dd>\n",
       "\t<dt>STAT3</dt>\n",
       "\t\t<dd>0</dd>\n",
       "\t<dt>FOXP3</dt>\n",
       "\t\t<dd>-1</dd>\n",
       "\t<dt>TGFB</dt>\n",
       "\t\t<dd>-1</dd>\n",
       "\t<dt>IL10</dt>\n",
       "\t\t<dd>-1</dd>\n",
       "\t<dt>IL2e</dt>\n",
       "\t\t<dd>-1</dd>\n",
       "\t<dt>IL21e</dt>\n",
       "\t\t<dd>-1</dd>\n",
       "\t<dt>TGFBe</dt>\n",
       "\t\t<dd>-1</dd>\n",
       "\t<dt>IL10e</dt>\n",
       "\t\t<dd>-1</dd>\n",
       "</dl>\n"
      ],
      "text/latex": [
       "\\begin{description*}\n",
       "\\item[IL2] -1\n",
       "\\item[RORGT] -1\n",
       "\\item[STAT3] 0\n",
       "\\item[FOXP3] -1\n",
       "\\item[TGFB] -1\n",
       "\\item[IL10] -1\n",
       "\\item[IL2e] -1\n",
       "\\item[IL21e] -1\n",
       "\\item[TGFBe] -1\n",
       "\\item[IL10e] -1\n",
       "\\end{description*}\n"
      ],
      "text/markdown": [
       "IL2\n",
       ":   -1RORGT\n",
       ":   -1STAT3\n",
       ":   0FOXP3\n",
       ":   -1TGFB\n",
       ":   -1IL10\n",
       ":   -1IL2e\n",
       ":   -1IL21e\n",
       ":   -1TGFBe\n",
       ":   -1IL10e\n",
       ":   -1\n",
       "\n"
      ],
      "text/plain": [
       "  IL2 RORGT STAT3 FOXP3  TGFB  IL10  IL2e IL21e TGFBe IL10e \n",
       "   -1    -1     0    -1    -1    -1    -1    -1    -1    -1 "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "KO.net$fixed"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we will determine the attractors, label them, and save them to a dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>involvedStates</th><th scope=col>basinSize</th><th scope=col>label</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>0</td><td>6</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>1</td><td>2</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>16</td><td>16</td><td>TGFB+</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>48</td><td>8</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>65</td><td>8</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>89</td><td>16</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>7</th><td>112</td><td>3</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>121</td><td>1</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>128</td><td>6</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>10</th><td>129</td><td>2</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>11</th><td>144</td><td>16</td><td>TGFB+</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>176</td><td>8</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>13</th><td>193</td><td>8</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>14</th><td>217</td><td>16</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>15</th><td>240</td><td>3</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>16</th><td>249</td><td>1</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>17</th><td>272</td><td>24</td><td>TGFB+</td></tr>\n",
       "\t<tr><th scope=row>18</th><td>304</td><td>8</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>19</th><td>345</td><td>24</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>20</th><td>368</td><td>3</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>21</th><td>377</td><td>1</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>22</th><td>400</td><td>24</td><td>TGFB+</td></tr>\n",
       "\t<tr><th scope=row>23</th><td>432</td><td>8</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>24</th><td>473</td><td>24</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>25</th><td>496</td><td>3</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>26</th><td>505</td><td>1</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>27</th><td>544</td><td>8</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>28</th><td>560</td><td>24</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>29</th><td>608</td><td>8</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>30</th><td>633</td><td>5</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>31</th><td>624</td><td>3</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>32</th><td>672</td><td>8</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>33</th><td>688</td><td>24</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>34</th><td>736</td><td>8</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>35</th><td>761</td><td>5</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>36</th><td>752</td><td>3</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>37</th><td>816</td><td>32</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>38</th><td>889</td><td>5</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>39</th><td>880</td><td>7</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>40</th><td>944</td><td>32</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>41</th><td>1017</td><td>5</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>42</th><td>1008</td><td>7</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>43</th><td>113/120</td><td>4</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>44</th><td>241/248</td><td>4</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>45</th><td>369/376</td><td>4</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>46</th><td>497/504</td><td>4</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>47</th><td>625/632</td><td>16</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>48</th><td>753/760</td><td>16</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>49</th><td>881/888</td><td>20</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>50</th><td>1009/1016</td><td>20</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       "  & involvedStates & basinSize & label\\\\\n",
       "\\hline\n",
       "\t1 & 0 & 6 & Th0\\\\\n",
       "\t2 & 1 & 2 & Th0\\\\\n",
       "\t3 & 16 & 16 & TGFB+\\\\\n",
       "\t4 & 48 & 8 & IL10+TGFB+\\\\\n",
       "\t5 & 65 & 8 & Th0\\\\\n",
       "\t6 & 89 & 16 & Treg\\\\\n",
       "\t7 & 112 & 3 & IL10+TGFB+\\\\\n",
       "\t8 & 121 & 1 & TregIL10+\\\\\n",
       "\t9 & 128 & 6 & Th0\\\\\n",
       "\t10 & 129 & 2 & Th0\\\\\n",
       "\t11 & 144 & 16 & TGFB+\\\\\n",
       "\t12 & 176 & 8 & IL10+TGFB+\\\\\n",
       "\t13 & 193 & 8 & Th0\\\\\n",
       "\t14 & 217 & 16 & Treg\\\\\n",
       "\t15 & 240 & 3 & IL10+TGFB+\\\\\n",
       "\t16 & 249 & 1 & TregIL10+\\\\\n",
       "\t17 & 272 & 24 & TGFB+\\\\\n",
       "\t18 & 304 & 8 & IL10+TGFB+\\\\\n",
       "\t19 & 345 & 24 & Treg\\\\\n",
       "\t20 & 368 & 3 & IL10+TGFB+\\\\\n",
       "\t21 & 377 & 1 & TregIL10+\\\\\n",
       "\t22 & 400 & 24 & TGFB+\\\\\n",
       "\t23 & 432 & 8 & IL10+TGFB+\\\\\n",
       "\t24 & 473 & 24 & Treg\\\\\n",
       "\t25 & 496 & 3 & IL10+TGFB+\\\\\n",
       "\t26 & 505 & 1 & TregIL10+\\\\\n",
       "\t27 & 544 & 8 & IL10+\\\\\n",
       "\t28 & 560 & 24 & IL10+TGFB+\\\\\n",
       "\t29 & 608 & 8 & IL10+\\\\\n",
       "\t30 & 633 & 5 & TregIL10+\\\\\n",
       "\t31 & 624 & 3 & IL10+TGFB+\\\\\n",
       "\t32 & 672 & 8 & IL10+\\\\\n",
       "\t33 & 688 & 24 & IL10+TGFB+\\\\\n",
       "\t34 & 736 & 8 & IL10+\\\\\n",
       "\t35 & 761 & 5 & TregIL10+\\\\\n",
       "\t36 & 752 & 3 & IL10+TGFB+\\\\\n",
       "\t37 & 816 & 32 & IL10+TGFB+\\\\\n",
       "\t38 & 889 & 5 & TregIL10+\\\\\n",
       "\t39 & 880 & 7 & IL10+TGFB+\\\\\n",
       "\t40 & 944 & 32 & IL10+TGFB+\\\\\n",
       "\t41 & 1017 & 5 & TregIL10+\\\\\n",
       "\t42 & 1008 & 7 & IL10+TGFB+\\\\\n",
       "\t43 & 113/120 & 4 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t44 & 241/248 & 4 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t45 & 369/376 & 4 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t46 & 497/504 & 4 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t47 & 625/632 & 16 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t48 & 753/760 & 16 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t49 & 881/888 & 20 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t50 & 1009/1016 & 20 & IL10+TGFB+/TregIL10+\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "   involvedStates basinSize                label\n",
       "1               0         6                  Th0\n",
       "2               1         2                  Th0\n",
       "3              16        16                TGFB+\n",
       "4              48         8           IL10+TGFB+\n",
       "5              65         8                  Th0\n",
       "6              89        16                 Treg\n",
       "7             112         3           IL10+TGFB+\n",
       "8             121         1            TregIL10+\n",
       "9             128         6                  Th0\n",
       "10            129         2                  Th0\n",
       "11            144        16                TGFB+\n",
       "12            176         8           IL10+TGFB+\n",
       "13            193         8                  Th0\n",
       "14            217        16                 Treg\n",
       "15            240         3           IL10+TGFB+\n",
       "16            249         1            TregIL10+\n",
       "17            272        24                TGFB+\n",
       "18            304         8           IL10+TGFB+\n",
       "19            345        24                 Treg\n",
       "20            368         3           IL10+TGFB+\n",
       "21            377         1            TregIL10+\n",
       "22            400        24                TGFB+\n",
       "23            432         8           IL10+TGFB+\n",
       "24            473        24                 Treg\n",
       "25            496         3           IL10+TGFB+\n",
       "26            505         1            TregIL10+\n",
       "27            544         8                IL10+\n",
       "28            560        24           IL10+TGFB+\n",
       "29            608         8                IL10+\n",
       "30            633         5            TregIL10+\n",
       "31            624         3           IL10+TGFB+\n",
       "32            672         8                IL10+\n",
       "33            688        24           IL10+TGFB+\n",
       "34            736         8                IL10+\n",
       "35            761         5            TregIL10+\n",
       "36            752         3           IL10+TGFB+\n",
       "37            816        32           IL10+TGFB+\n",
       "38            889         5            TregIL10+\n",
       "39            880         7           IL10+TGFB+\n",
       "40            944        32           IL10+TGFB+\n",
       "41           1017         5            TregIL10+\n",
       "42           1008         7           IL10+TGFB+\n",
       "43        113/120         4 IL10+TGFB+/TregIL10+\n",
       "44        241/248         4 IL10+TGFB+/TregIL10+\n",
       "45        369/376         4 IL10+TGFB+/TregIL10+\n",
       "46        497/504         4 IL10+TGFB+/TregIL10+\n",
       "47        625/632        16 IL10+TGFB+/TregIL10+\n",
       "48        753/760        16 IL10+TGFB+/TregIL10+\n",
       "49        881/888        20 IL10+TGFB+/TregIL10+\n",
       "50      1009/1016        20 IL10+TGFB+/TregIL10+"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "KO.attr <- getAttractors(KO.net)\n",
    "KO.attr.df <- attractor2dataframe(KO.attr) \n",
    "\n",
    "KO.labels <- labelAttractors(KO.attr, net$genes, labels.rules$labels, labels.rules$rules)\n",
    "KO.attr.df$label <- sapply(KO.labels, function(l)  paste(as.character(l), collapse='/')  )\n",
    "KO.attr.df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We  can also simulate overexpressions, where the value of STAT3 will always be 1. This would be equivalent to having the STAT3 pathway constitutionally active.\n",
    "\n",
    "We will create the network, determine the attractors, label them and present them as a dataframe."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>involvedStates</th><th scope=col>basinSize</th><th scope=col>label</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>4</td><td>16</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>36</td><td>16</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>68</td><td>16</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>100</td><td>16</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>132</td><td>16</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>164</td><td>16</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>7</th><td>196</td><td>16</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>228</td><td>16</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>278</td><td>16</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>10</th><td>310</td><td>16</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>11</th><td>342</td><td>16</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>374</td><td>16</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>13</th><td>406</td><td>16</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>14</th><td>438</td><td>16</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>15</th><td>470</td><td>16</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>16</th><td>502</td><td>16</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>17</th><td>548</td><td>32</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>18</th><td>612</td><td>32</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>19</th><td>676</td><td>32</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>20</th><td>740</td><td>32</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>21</th><td>822</td><td>32</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>22</th><td>886</td><td>32</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>23</th><td>950</td><td>32</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>24</th><td>1014</td><td>32</td><td>Th17IL10+</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lll}\n",
       "  & involvedStates & basinSize & label\\\\\n",
       "\\hline\n",
       "\t1 & 4 & 16 & Th0\\\\\n",
       "\t2 & 36 & 16 & IL10+\\\\\n",
       "\t3 & 68 & 16 & Th0\\\\\n",
       "\t4 & 100 & 16 & IL10+\\\\\n",
       "\t5 & 132 & 16 & Th0\\\\\n",
       "\t6 & 164 & 16 & IL10+\\\\\n",
       "\t7 & 196 & 16 & Th0\\\\\n",
       "\t8 & 228 & 16 & IL10+\\\\\n",
       "\t9 & 278 & 16 & Th17\\\\\n",
       "\t10 & 310 & 16 & Th17IL10+\\\\\n",
       "\t11 & 342 & 16 & Th17\\\\\n",
       "\t12 & 374 & 16 & Th17IL10+\\\\\n",
       "\t13 & 406 & 16 & Th17\\\\\n",
       "\t14 & 438 & 16 & Th17IL10+\\\\\n",
       "\t15 & 470 & 16 & Th17\\\\\n",
       "\t16 & 502 & 16 & Th17IL10+\\\\\n",
       "\t17 & 548 & 32 & IL10+\\\\\n",
       "\t18 & 612 & 32 & IL10+\\\\\n",
       "\t19 & 676 & 32 & IL10+\\\\\n",
       "\t20 & 740 & 32 & IL10+\\\\\n",
       "\t21 & 822 & 32 & Th17IL10+\\\\\n",
       "\t22 & 886 & 32 & Th17IL10+\\\\\n",
       "\t23 & 950 & 32 & Th17IL10+\\\\\n",
       "\t24 & 1014 & 32 & Th17IL10+\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "   involvedStates basinSize     label\n",
       "1               4        16       Th0\n",
       "2              36        16     IL10+\n",
       "3              68        16       Th0\n",
       "4             100        16     IL10+\n",
       "5             132        16       Th0\n",
       "6             164        16     IL10+\n",
       "7             196        16       Th0\n",
       "8             228        16     IL10+\n",
       "9             278        16      Th17\n",
       "10            310        16 Th17IL10+\n",
       "11            342        16      Th17\n",
       "12            374        16 Th17IL10+\n",
       "13            406        16      Th17\n",
       "14            438        16 Th17IL10+\n",
       "15            470        16      Th17\n",
       "16            502        16 Th17IL10+\n",
       "17            548        32     IL10+\n",
       "18            612        32     IL10+\n",
       "19            676        32     IL10+\n",
       "20            740        32     IL10+\n",
       "21            822        32 Th17IL10+\n",
       "22            886        32 Th17IL10+\n",
       "23            950        32 Th17IL10+\n",
       "24           1014        32 Th17IL10+"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Over.net <- fixGenes(net, \"STAT3\", 1)\n",
    "\n",
    "Over.attr <- getAttractors(Over.net)\n",
    "Over.attr.df <- attractor2dataframe(Over.attr) \n",
    "\n",
    "Over.labels <- labelAttractors(Over.attr, net$genes, labels.rules$labels, labels.rules$rules)\n",
    "Over.attr.df$label <- sapply(Over.labels, function(l)  paste(as.character(l), collapse='/')  )\n",
    "Over.attr.df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we can compare the three networks. Lets begin by seeing the cell types that where recovered in each network."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'Th0'</li>\n",
       "\t<li>'TGFB+'</li>\n",
       "\t<li>'IL10+TGFB+'</li>\n",
       "\t<li>'Treg'</li>\n",
       "\t<li>'TregIL10+'</li>\n",
       "\t<li>'Th17'</li>\n",
       "\t<li>'IL10+'</li>\n",
       "\t<li>'IL10+TGFB+/TregIL10+'</li>\n",
       "\t<li>'Th0/Th0'</li>\n",
       "\t<li>'RORGT+/TGFB+'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'Th0'\n",
       "\\item 'TGFB+'\n",
       "\\item 'IL10+TGFB+'\n",
       "\\item 'Treg'\n",
       "\\item 'TregIL10+'\n",
       "\\item 'Th17'\n",
       "\\item 'IL10+'\n",
       "\\item 'IL10+TGFB+/TregIL10+'\n",
       "\\item 'Th0/Th0'\n",
       "\\item 'RORGT+/TGFB+'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'Th0'\n",
       "2. 'TGFB+'\n",
       "3. 'IL10+TGFB+'\n",
       "4. 'Treg'\n",
       "5. 'TregIL10+'\n",
       "6. 'Th17'\n",
       "7. 'IL10+'\n",
       "8. 'IL10+TGFB+/TregIL10+'\n",
       "9. 'Th0/Th0'\n",
       "10. 'RORGT+/TGFB+'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       " [1] \"Th0\"                  \"TGFB+\"                \"IL10+TGFB+\"          \n",
       " [4] \"Treg\"                 \"TregIL10+\"            \"Th17\"                \n",
       " [7] \"IL10+\"                \"IL10+TGFB+/TregIL10+\" \"Th0/Th0\"             \n",
       "[10] \"RORGT+/TGFB+\"        "
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'Th0'</li>\n",
       "\t<li>'TGFB+'</li>\n",
       "\t<li>'IL10+TGFB+'</li>\n",
       "\t<li>'Treg'</li>\n",
       "\t<li>'TregIL10+'</li>\n",
       "\t<li>'IL10+'</li>\n",
       "\t<li>'IL10+TGFB+/TregIL10+'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'Th0'\n",
       "\\item 'TGFB+'\n",
       "\\item 'IL10+TGFB+'\n",
       "\\item 'Treg'\n",
       "\\item 'TregIL10+'\n",
       "\\item 'IL10+'\n",
       "\\item 'IL10+TGFB+/TregIL10+'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'Th0'\n",
       "2. 'TGFB+'\n",
       "3. 'IL10+TGFB+'\n",
       "4. 'Treg'\n",
       "5. 'TregIL10+'\n",
       "6. 'IL10+'\n",
       "7. 'IL10+TGFB+/TregIL10+'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"Th0\"                  \"TGFB+\"                \"IL10+TGFB+\"          \n",
       "[4] \"Treg\"                 \"TregIL10+\"            \"IL10+\"               \n",
       "[7] \"IL10+TGFB+/TregIL10+\""
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'Th0'</li>\n",
       "\t<li>'IL10+'</li>\n",
       "\t<li>'Th17'</li>\n",
       "\t<li>'Th17IL10+'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 'Th0'\n",
       "\\item 'IL10+'\n",
       "\\item 'Th17'\n",
       "\\item 'Th17IL10+'\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 'Th0'\n",
       "2. 'IL10+'\n",
       "3. 'Th17'\n",
       "4. 'Th17IL10+'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"Th0\"       \"IL10+\"     \"Th17\"      \"Th17IL10+\""
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "unique(WT.attr.df$label)\n",
    "unique(KO.attr.df$label)\n",
    "unique(Over.attr.df$label)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that in the STAT3 KO we attractors like Th17 and some cycles. In the STAT3 over-expression we lose most of the regulatory attractors and the cycles, but we win a new Th17IL10+ attractor."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use the function __perturbNetworkFixedNodes()__ to obtain the attractors and basins of the different fixed networks. By default, this method obtains all the single node knockouts and overexpressions. The function returns a dataframe where the rownames are the states and each column corresponds to the basin size of a fixed network. If the attractor cannot be found in a network it returns NA."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "In `[<-.factor`(`*tmp*`, ri, value = \"⋱\"): invalid factor level, NA generatedWarning message:\n",
      "In `[<-.factor`(`*tmp*`, ri, value = \"⋱\"): invalid factor level, NA generated"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>WT.basinSize</th><th scope=col>IL2_0.basinSize</th><th scope=col>RORGT_0.basinSize</th><th scope=col>STAT3_0.basinSize</th><th scope=col>FOXP3_0.basinSize</th><th scope=col>TGFB_0.basinSize</th><th scope=col>IL10_0.basinSize</th><th scope=col>IL2e_0.basinSize</th><th scope=col>IL21e_0.basinSize</th><th scope=col>TGFBe_0.basinSize</th><th scope=col>ellip.h</th><th scope=col>IL2_1.basinSize</th><th scope=col>RORGT_1.basinSize</th><th scope=col>STAT3_1.basinSize</th><th scope=col>FOXP3_1.basinSize</th><th scope=col>TGFB_1.basinSize</th><th scope=col>IL10_1.basinSize</th><th scope=col>IL2e_1.basinSize</th><th scope=col>IL21e_1.basinSize</th><th scope=col>TGFBe_1.basinSize</th><th scope=col>IL10e_1.basinSize</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>0</th><td>27</td><td>11</td><td>15</td><td>6</td><td>15</td><td>24</td><td>7</td><td>27</td><td>27</td><td>27</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>1</th><td>2</td><td>NA</td><td>1</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>⋯</td><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>100</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>1001</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>2</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>1008</th><td>47</td><td>32</td><td>23</td><td>7</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>23</td><td>23</td><td>47</td><td>47</td><td>47</td><td>47</td></tr>\n",
       "\t<tr><th scope=row>1009/1016</th><td>12</td><td>NA</td><td>4</td><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>6</td><td>7</td><td>12</td><td>12</td><td>12</td><td>12</td></tr>\n",
       "\t<tr><th scope=row>1010</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>1014</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>1017</th><td>5</td><td>NA</td><td>5</td><td>5</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>32</td><td>NA</td><td>NA</td><td>32</td><td>3</td><td>2</td><td>5</td><td>5</td><td>5</td><td>5</td></tr>\n",
       "\t<tr><th scope=row>112</th><td>3</td><td>4</td><td>1</td><td>3</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>3</td><td>3</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>11</td><td>3</td><td>3</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>113/120</th><td>4</td><td>NA</td><td>2</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>4</td><td>4</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>4</td><td>7</td><td>4</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>114</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>6</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>121</th><td>1</td><td>NA</td><td>1</td><td>1</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>1</td><td>1</td><td>⋯</td><td>4</td><td>NA</td><td>NA</td><td>4</td><td>1</td><td>2</td><td>1</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>128</th><td>NA</td><td>NA</td><td>NA</td><td>6</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>129</th><td>2</td><td>NA</td><td>1</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>NA</td><td>2</td><td>⋯</td><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>2</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>131</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>1</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>132</th><td>54</td><td>28</td><td>27</td><td>NA</td><td>24</td><td>30</td><td>30</td><td>54</td><td>NA</td><td>54</td><td>⋯</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>54</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>134</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>26</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>140</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>28</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>144</th><td>NA</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>145</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>2</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>147</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>1</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>150</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>153</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>16</th><td>13</td><td>5</td><td>8</td><td>16</td><td>1</td><td>NA</td><td>9</td><td>13</td><td>13</td><td>13</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>160</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>164</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>17</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>2</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>176</th><td>8</td><td>4</td><td>4</td><td>8</td><td>4</td><td>NA</td><td>NA</td><td>8</td><td>NA</td><td>8</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>16</td><td>12</td><td>NA</td><td>8</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>31</th><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>NA</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><th scope=row>818</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>822</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>824</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>825</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>82/85</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>83</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>5</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>850/853</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>6</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>854</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>857</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>18</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>86</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>864</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>30</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>873</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>2</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>880</th><td>43</td><td>32</td><td>19</td><td>7</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>43</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>21</td><td>23</td><td>43</td><td>NA</td><td>43</td><td>43</td></tr>\n",
       "\t<tr><th scope=row>881/888</th><td>16</td><td>NA</td><td>8</td><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>8</td><td>7</td><td>16</td><td>NA</td><td>16</td><td>16</td></tr>\n",
       "\t<tr><th scope=row>882</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>886</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>889</th><td>5</td><td>NA</td><td>5</td><td>5</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>5</td><td>NA</td><td>⋯</td><td>32</td><td>NA</td><td>NA</td><td>32</td><td>3</td><td>2</td><td>5</td><td>NA</td><td>5</td><td>5</td></tr>\n",
       "\t<tr><th scope=row>89</th><td>13</td><td>NA</td><td>8</td><td>16</td><td>NA</td><td>NA</td><td>9</td><td>NA</td><td>13</td><td>13</td><td>⋯</td><td>8</td><td>NA</td><td>NA</td><td>24</td><td>8</td><td>NA</td><td>13</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>918</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>928</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>944</th><td>64</td><td>32</td><td>32</td><td>32</td><td>32</td><td>NA</td><td>NA</td><td>64</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>32</td><td>32</td><td>NA</td><td>64</td><td>64</td><td>64</td></tr>\n",
       "\t<tr><th scope=row>946</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>950</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>952</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>953</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>96</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>978/981</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>982</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>985</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>992</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>30</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & WT.basinSize & IL2_0.basinSize & RORGT_0.basinSize & STAT3_0.basinSize & FOXP3_0.basinSize & TGFB_0.basinSize & IL10_0.basinSize & IL2e_0.basinSize & IL21e_0.basinSize & TGFBe_0.basinSize & ellip.h & IL2_1.basinSize & RORGT_1.basinSize & STAT3_1.basinSize & FOXP3_1.basinSize & TGFB_1.basinSize & IL10_1.basinSize & IL2e_1.basinSize & IL21e_1.basinSize & TGFBe_1.basinSize & IL10e_1.basinSize\\\\\n",
       "\\hline\n",
       "\t0 & 27 & 11 & 15 & 6 & 15 & 24 & 7 & 27 & 27 & 27 & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t1 & 2 & NA & 1 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & ⋯ & 20 & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t100 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 16 & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t1001 & NA & NA & NA & NA & NA & 2 & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t1008 & 47 & 32 & 23 & 7 & 32 & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & 23 & 23 & 47 & 47 & 47 & 47\\\\\n",
       "\t1009/1016 & 12 & NA & 4 & 20 & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & 6 & 7 & 12 & 12 & 12 & 12\\\\\n",
       "\t1010 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 32 & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t1014 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 32 & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t1017 & 5 & NA & 5 & 5 & NA & NA & NA & NA & NA & NA & ⋯ & 32 & NA & NA & 32 & 3 & 2 & 5 & 5 & 5 & 5\\\\\n",
       "\t112 & 3 & 4 & 1 & 3 & 4 & NA & NA & NA & 3 & 3 & ⋯ & NA & NA & NA & NA & 11 & 3 & 3 & NA & NA & NA\\\\\n",
       "\t113/120 & 4 & NA & 2 & 4 & NA & NA & NA & NA & 4 & 4 & ⋯ & NA & NA & NA & NA & 4 & 7 & 4 & NA & NA & NA\\\\\n",
       "\t114 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 4 & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t12 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & 6 & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t121 & 1 & NA & 1 & 1 & NA & NA & NA & NA & 1 & 1 & ⋯ & 4 & NA & NA & 4 & 1 & 2 & 1 & NA & NA & NA\\\\\n",
       "\t128 & NA & NA & NA & 6 & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t129 & 2 & NA & 1 & 2 & 2 & 2 & 2 & 2 & NA & 2 & ⋯ & 20 & NA & NA & NA & NA & NA & NA & 2 & NA & NA\\\\\n",
       "\t131 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 1 & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t132 & 54 & 28 & 27 & NA & 24 & 30 & 30 & 54 & NA & 54 & ⋯ & NA & NA & 16 & NA & NA & NA & NA & 54 & NA & NA\\\\\n",
       "\t134 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 26 & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t140 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & 28 & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t144 & NA & NA & NA & 16 & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t145 & NA & NA & NA & NA & 2 & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t147 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 1 & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t150 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & 16 & NA & NA & NA & NA & NA\\\\\n",
       "\t153 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 8 & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t16 & 13 & 5 & 8 & 16 & 1 & NA & 9 & 13 & 13 & 13 & ⋯ & NA & NA & NA & NA & 8 & NA & NA & NA & NA & NA\\\\\n",
       "\t160 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & 20 & NA & NA & NA & NA\\\\\n",
       "\t164 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 16 & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t17 & NA & NA & NA & NA & 2 & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t176 & 8 & 4 & 4 & 8 & 4 & NA & NA & 8 & NA & 8 & ⋯ & NA & NA & NA & NA & 16 & 12 & NA & 8 & NA & NA\\\\\n",
       "\t31 & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & NA & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\t818 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 32 & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t822 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 32 & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t824 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & 32 & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t825 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 32 & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t82/85 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & 4 & NA & NA & NA & NA & NA\\\\\n",
       "\t83 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 5 & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t850/853 & NA & NA & NA & NA & NA & NA & 6 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t854 & NA & NA & NA & NA & NA & NA & 8 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t857 & NA & NA & NA & NA & NA & NA & 18 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t86 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & 4 & NA & NA & NA & NA & NA\\\\\n",
       "\t864 & NA & NA & NA & NA & NA & 30 & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t873 & NA & NA & NA & NA & NA & 2 & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t880 & 43 & 32 & 19 & 7 & 32 & NA & NA & NA & 43 & NA & ⋯ & NA & NA & NA & NA & 21 & 23 & 43 & NA & 43 & 43\\\\\n",
       "\t881/888 & 16 & NA & 8 & 20 & NA & NA & NA & NA & 16 & NA & ⋯ & NA & NA & NA & NA & 8 & 7 & 16 & NA & 16 & 16\\\\\n",
       "\t882 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 32 & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t886 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 32 & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t889 & 5 & NA & 5 & 5 & NA & NA & NA & NA & 5 & NA & ⋯ & 32 & NA & NA & 32 & 3 & 2 & 5 & NA & 5 & 5\\\\\n",
       "\t89 & 13 & NA & 8 & 16 & NA & NA & 9 & NA & 13 & 13 & ⋯ & 8 & NA & NA & 24 & 8 & NA & 13 & NA & NA & NA\\\\\n",
       "\t918 & NA & NA & NA & NA & NA & NA & 32 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t928 & NA & NA & NA & NA & NA & 32 & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t944 & 64 & 32 & 32 & 32 & 32 & NA & NA & 64 & NA & NA & ⋯ & NA & NA & NA & NA & 32 & 32 & NA & 64 & 64 & 64\\\\\n",
       "\t946 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 32 & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t950 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 32 & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t952 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & 32 & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t953 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 32 & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t96 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & 20 & NA & NA & NA & NA\\\\\n",
       "\t978/981 & NA & NA & NA & NA & NA & NA & 16 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t982 & NA & NA & NA & NA & NA & NA & 8 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t985 & NA & NA & NA & NA & NA & NA & 8 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\t992 & NA & NA & NA & NA & NA & 30 & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "          WT.basinSize IL2_0.basinSize RORGT_0.basinSize STAT3_0.basinSize\n",
       "0                   27              11                15                 6\n",
       "1                    2              NA                 1                 2\n",
       "100                 NA              NA                NA                NA\n",
       "1001                NA              NA                NA                NA\n",
       "1008                47              32                23                 7\n",
       "1009/1016           12              NA                 4                20\n",
       "1010                NA              NA                NA                NA\n",
       "1014                NA              NA                NA                NA\n",
       "1017                 5              NA                 5                 5\n",
       "112                  3               4                 1                 3\n",
       "113/120              4              NA                 2                 4\n",
       "114                 NA              NA                NA                NA\n",
       "12                  NA              NA                NA                NA\n",
       "121                  1              NA                 1                 1\n",
       "128                 NA              NA                NA                 6\n",
       "129                  2              NA                 1                 2\n",
       "131                 NA              NA                NA                NA\n",
       "132                 54              28                27                NA\n",
       "134                 NA              NA                NA                NA\n",
       "140                 NA              NA                NA                NA\n",
       "144                 NA              NA                NA                16\n",
       "145                 NA              NA                NA                NA\n",
       "147                 NA              NA                NA                NA\n",
       "150                 NA              NA                NA                NA\n",
       "153                 NA              NA                NA                NA\n",
       "16                  13               5                 8                16\n",
       "160                 NA              NA                NA                NA\n",
       "164                 NA              NA                NA                NA\n",
       "17                  NA              NA                NA                NA\n",
       "176                  8               4                 4                 8\n",
       "178                 NA              NA                NA                NA\n",
       "184                 NA              NA                NA                NA\n",
       "185                 NA              NA                NA                NA\n",
       "19                  NA              NA                NA                NA\n",
       "192/197             36              NA                18                NA\n",
       "193                  2              NA                 1                 8\n",
       "194/199             NA              NA                NA                NA\n",
       "195                 NA              NA                NA                NA\n",
       "196                  8              28                 4                NA\n",
       "198                 NA              NA                NA                NA\n",
       "200/221             NA              NA                NA                NA\n",
       "201                 NA              NA                NA                NA\n",
       "204                 NA              NA                NA                NA\n",
       "209                 NA              NA                NA                NA\n",
       "210/213             NA              NA                NA                NA\n",
       "211                 NA              NA                NA                NA\n",
       "214                 NA              NA                NA                NA\n",
       "217                 10              NA                 5                16\n",
       "22                  NA              NA                NA                NA\n",
       "224                 NA              NA                NA                NA\n",
       "228                 NA              NA                NA                NA\n",
       "24                  NA              NA                NA                NA\n",
       "240                  3               4                 1                 3\n",
       "241/248              4              NA                 2                 4\n",
       "242                 NA              NA                NA                NA\n",
       "249                  1              NA                 1                 1\n",
       "25                  NA              NA                NA                NA\n",
       "256                 NA              NA                NA                NA\n",
       "257                 NA              NA                NA                NA\n",
       "260                 NA              NA                NA                NA\n",
       "272                 26               8                16                24\n",
       "273                 NA              NA                NA                NA\n",
       "275                 NA              NA                NA                NA\n",
       "276                 NA              NA                 4                NA\n",
       "278                 14              12                NA                NA\n",
       "280                 NA              NA                NA                NA\n",
       "281                 NA              NA                NA                NA\n",
       "284                 NA              NA                NA                NA\n",
       "3                   NA              NA                NA                NA\n",
       "304                 24              12                12                 8\n",
       "306                 NA              NA                NA                NA\n",
       "310                 NA              NA                NA                NA\n",
       "312                 NA              NA                NA                NA\n",
       "313                 NA              NA                NA                NA\n",
       "32                  NA              NA                NA                NA\n",
       "321                 NA              NA                NA                NA\n",
       "324                 NA              NA                NA                NA\n",
       "329                 NA              NA                NA                NA\n",
       "336                 NA               8                NA                NA\n",
       "337                 NA              NA                NA                NA\n",
       "338/341              6              NA                NA                NA\n",
       "338/343             NA              NA                NA                NA\n",
       "339                 NA              NA                NA                NA\n",
       "340                 NA              NA                 4                NA\n",
       "342                  8              12                NA                NA\n",
       "345                 26              NA                16                24\n",
       "348                 NA              NA                NA                NA\n",
       "36                  NA              NA                NA                NA\n",
       "368                 19              12                 9                 3\n",
       "369/376              4              NA                 2                 4\n",
       "370                 NA              NA                NA                NA\n",
       "374                 NA              NA                NA                NA\n",
       "377                  1              NA                 1                 1\n",
       "385                 NA              NA                NA                NA\n",
       "388                 NA              NA                NA                NA\n",
       "4                   14              12                 4                NA\n",
       "400                 NA              NA                NA                24\n",
       "401                 NA              NA                NA                NA\n",
       "403                 NA              NA                NA                NA\n",
       "404                 NA              NA                20                NA\n",
       "406                 40              20                NA                NA\n",
       "409                 NA              NA                NA                NA\n",
       "412                 NA              NA                NA                NA\n",
       "432                 24              12                12                 8\n",
       "434                 NA              NA                NA                NA\n",
       "438                 NA              NA                NA                NA\n",
       "440                 NA              NA                NA                NA\n",
       "441                 NA              NA                NA                NA\n",
       "448/453             NA              NA                NA                NA\n",
       "449                 NA              NA                NA                NA\n",
       "452                 NA              NA                NA                NA\n",
       "457                 NA              NA                NA                NA\n",
       "464/469             NA              NA                10                NA\n",
       "465                 NA              NA                NA                NA\n",
       "466/469             20              NA                NA                NA\n",
       "466/471             NA              NA                NA                NA\n",
       "467                 NA              NA                NA                NA\n",
       "468                 NA              NA                 4                NA\n",
       "470                  8              20                NA                NA\n",
       "472/477             NA              NA                NA                NA\n",
       "473                 12              NA                 6                24\n",
       "476                 NA              NA                NA                NA\n",
       "48                   8               4                 4                 8\n",
       "496                 19              12                 9                 3\n",
       "497/504              4              NA                 2                 4\n",
       "498                 NA              NA                NA                NA\n",
       "50                  NA              NA                NA                NA\n",
       "502                 NA              NA                NA                NA\n",
       "505                  1              NA                 1                 1\n",
       "512                 NA              NA                NA                NA\n",
       "513                 NA              NA                NA                NA\n",
       "516                 NA              NA                NA                NA\n",
       "528                 NA              NA                NA                NA\n",
       "544                 43              23                20                 8\n",
       "545                 NA              NA                NA                NA\n",
       "546                 NA              NA                NA                NA\n",
       "548                 NA              NA                NA                NA\n",
       "56                  NA              NA                NA                NA\n",
       "560                 21               9                12                24\n",
       "562                 NA              NA                NA                NA\n",
       "568                 NA              NA                NA                NA\n",
       "569                 NA              NA                NA                NA\n",
       "57                  NA              NA                NA                NA\n",
       "577                 NA              NA                NA                NA\n",
       "580                 NA              NA                NA                NA\n",
       "6                   NA              NA                NA                NA\n",
       "601                 NA              NA                NA                NA\n",
       "608                 43              23                20                 8\n",
       "609                 NA              NA                NA                NA\n",
       "610                 NA              NA                NA                NA\n",
       "612                 NA              NA                NA                NA\n",
       "617                 NA              NA                NA                NA\n",
       "624                  3               9                 1                 3\n",
       "625/632             13              NA                 6                16\n",
       "626                 NA              NA                NA                NA\n",
       "633                  5              NA                 5                 5\n",
       "64                  NA              11                NA                NA\n",
       "641                 NA              NA                NA                NA\n",
       "644                 NA              NA                NA                NA\n",
       "65                  35              NA                16                 8\n",
       "66/71               NA              NA                NA                NA\n",
       "67                  NA              NA                NA                NA\n",
       "672                 46              26                23                 8\n",
       "673                 NA              NA                NA                NA\n",
       "674                 NA              NA                NA                NA\n",
       "676                 NA              NA                NA                NA\n",
       "68                   8              12                 4                NA\n",
       "688                 18               6                 9                24\n",
       "690                 NA              NA                NA                NA\n",
       "696                 NA              NA                NA                NA\n",
       "697                 NA              NA                NA                NA\n",
       "70                  NA              NA                NA                NA\n",
       "704/709             NA              NA                NA                NA\n",
       "705                 NA              NA                NA                NA\n",
       "708                 NA              NA                NA                NA\n",
       "729                 NA              NA                NA                NA\n",
       "73                  NA              NA                NA                NA\n",
       "736                 46              26                23                 8\n",
       "737                 NA              NA                NA                NA\n",
       "738                 NA              NA                NA                NA\n",
       "740                 NA              NA                NA                NA\n",
       "745                 NA              NA                NA                NA\n",
       "752                  3               6                 1                 3\n",
       "753/760             10              NA                 3                16\n",
       "754                 NA              NA                NA                NA\n",
       "76                  NA              NA                NA                NA\n",
       "761                  5              NA                 5                 5\n",
       "784                 NA              NA                NA                NA\n",
       "790                 NA              NA                NA                NA\n",
       "80                  NA               5                NA                NA\n",
       "800                 NA              NA                NA                NA\n",
       "81                  NA              NA                NA                NA\n",
       "816                 64              32                32                32\n",
       "818                 NA              NA                NA                NA\n",
       "822                 NA              NA                NA                NA\n",
       "824                 NA              NA                NA                NA\n",
       "825                 NA              NA                NA                NA\n",
       "82/85               NA              NA                NA                NA\n",
       "83                  NA              NA                NA                NA\n",
       "850/853             NA              NA                NA                NA\n",
       "854                 NA              NA                NA                NA\n",
       "857                 NA              NA                NA                NA\n",
       "86                  NA              NA                NA                NA\n",
       "864                 NA              NA                NA                NA\n",
       "873                 NA              NA                NA                NA\n",
       "880                 43              32                19                 7\n",
       "881/888             16              NA                 8                20\n",
       "882                 NA              NA                NA                NA\n",
       "886                 NA              NA                NA                NA\n",
       "889                  5              NA                 5                 5\n",
       "89                  13              NA                 8                16\n",
       "918                 NA              NA                NA                NA\n",
       "928                 NA              NA                NA                NA\n",
       "944                 64              32                32                32\n",
       "946                 NA              NA                NA                NA\n",
       "950                 NA              NA                NA                NA\n",
       "952                 NA              NA                NA                NA\n",
       "953                 NA              NA                NA                NA\n",
       "96                  NA              NA                NA                NA\n",
       "978/981             NA              NA                NA                NA\n",
       "982                 NA              NA                NA                NA\n",
       "985                 NA              NA                NA                NA\n",
       "992                 NA              NA                NA                NA\n",
       "          FOXP3_0.basinSize TGFB_0.basinSize IL10_0.basinSize IL2e_0.basinSize\n",
       "0                        15               24                7               27\n",
       "1                         2                2                2                2\n",
       "100                      NA               NA               NA               NA\n",
       "1001                     NA                2               NA               NA\n",
       "1008                     32               NA               NA               NA\n",
       "1009/1016                NA               NA               NA               NA\n",
       "1010                     NA               NA               NA               NA\n",
       "1014                     NA               NA               NA               NA\n",
       "1017                     NA               NA               NA               NA\n",
       "112                       4               NA               NA               NA\n",
       "113/120                  NA               NA               NA               NA\n",
       "114                      NA               NA               NA               NA\n",
       "12                       NA               NA               NA               NA\n",
       "121                      NA               NA               NA               NA\n",
       "128                      NA               NA               NA               NA\n",
       "129                       2                2                2                2\n",
       "131                      NA               NA               NA               NA\n",
       "132                      24               30               30               54\n",
       "134                      NA               NA               NA               NA\n",
       "140                      NA               NA               NA               NA\n",
       "144                      NA               NA               NA               NA\n",
       "145                       2               NA               NA               NA\n",
       "147                      NA               NA               NA               NA\n",
       "150                      NA               NA               NA               NA\n",
       "153                      NA               NA               NA               NA\n",
       "16                        1               NA                9               13\n",
       "160                      NA               NA               NA               NA\n",
       "164                      NA               NA               NA               NA\n",
       "17                        2               NA               NA               NA\n",
       "176                       4               NA               NA                8\n",
       "178                      NA               NA               NA               NA\n",
       "184                      NA               NA               NA               NA\n",
       "185                      NA               NA               NA               NA\n",
       "19                       NA               NA               NA               NA\n",
       "192/197                  20               20               16               NA\n",
       "193                       2                6                2               NA\n",
       "194/199                  NA               NA               NA               NA\n",
       "195                      NA               NA               NA               NA\n",
       "196                       4                4                8               NA\n",
       "198                      NA               NA               NA               NA\n",
       "200/221                  NA               NA               NA               NA\n",
       "201                      NA                2               NA               NA\n",
       "204                      NA               NA               NA               NA\n",
       "209                       2               NA               NA               NA\n",
       "210/213                  NA               NA               NA               NA\n",
       "211                      NA               NA               NA               NA\n",
       "214                      NA               NA               NA               NA\n",
       "217                      NA               NA                6               NA\n",
       "22                       NA               NA               NA               NA\n",
       "224                      NA               NA               NA               NA\n",
       "228                      NA               NA               NA               NA\n",
       "24                       NA               NA               NA               NA\n",
       "240                       4               NA               NA               NA\n",
       "241/248                  NA               NA               NA               NA\n",
       "242                      NA               NA               NA               NA\n",
       "249                      NA               NA               NA               NA\n",
       "25                       NA               NA               NA               NA\n",
       "256                      NA               24               NA               NA\n",
       "257                      NA                2               NA               NA\n",
       "260                      NA                6               NA               NA\n",
       "272                       8               NA               18               26\n",
       "273                       4               NA               NA               NA\n",
       "275                      NA               NA               NA               NA\n",
       "276                      NA               NA               NA               NA\n",
       "278                       8               NA               14               14\n",
       "280                      NA               NA               NA               NA\n",
       "281                      NA               NA               NA               NA\n",
       "284                      NA               NA               NA               NA\n",
       "3                        NA               NA               NA               NA\n",
       "304                      12               NA               NA               24\n",
       "306                      NA               NA               NA               NA\n",
       "310                      NA               NA               NA               NA\n",
       "312                      NA               NA               NA               NA\n",
       "313                      NA               NA               NA               NA\n",
       "32                       NA               NA               NA               NA\n",
       "321                      NA               26               NA               NA\n",
       "324                      NA                4               NA               NA\n",
       "329                      NA                2               NA               NA\n",
       "336                      NA               NA               NA               NA\n",
       "337                      12               NA               NA               NA\n",
       "338/341                   4               NA                6               NA\n",
       "338/343                  NA               NA               NA               NA\n",
       "339                      NA               NA               NA               NA\n",
       "340                      NA               NA               NA               NA\n",
       "342                       4               NA                8               NA\n",
       "345                      NA               NA               18               NA\n",
       "348                      NA               NA               NA               NA\n",
       "36                       NA               NA               NA               NA\n",
       "368                      12               NA               NA               NA\n",
       "369/376                  NA               NA               NA               NA\n",
       "370                      NA               NA               NA               NA\n",
       "374                      NA               NA               NA               NA\n",
       "377                      NA               NA               NA               NA\n",
       "385                      NA                2               NA               NA\n",
       "388                      NA               30               NA               NA\n",
       "4                         8                6               14               14\n",
       "400                      NA               NA               NA               NA\n",
       "401                       4               NA               NA               NA\n",
       "403                      NA               NA               NA               NA\n",
       "404                      NA               NA               NA               NA\n",
       "406                      16               NA               32               40\n",
       "409                      NA               NA               NA               NA\n",
       "412                      NA               NA               NA               NA\n",
       "432                      12               NA               NA               24\n",
       "434                      NA               NA               NA               NA\n",
       "438                      NA               NA               NA               NA\n",
       "440                      NA               NA               NA               NA\n",
       "441                      NA               NA               NA               NA\n",
       "448/453                  NA               20               NA               NA\n",
       "449                      NA                6               NA               NA\n",
       "452                      NA                4               NA               NA\n",
       "457                      NA                2               NA               NA\n",
       "464/469                  NA               NA               NA               NA\n",
       "465                       4               NA               NA               NA\n",
       "466/469                  12               NA               16               NA\n",
       "466/471                  NA               NA               NA               NA\n",
       "467                      NA               NA               NA               NA\n",
       "468                      NA               NA               NA               NA\n",
       "470                       4               NA                8               NA\n",
       "472/477                  NA               NA               NA               NA\n",
       "473                      NA               NA                8               NA\n",
       "476                      NA               NA               NA               NA\n",
       "48                        4               NA               NA                8\n",
       "496                      12               NA               NA               NA\n",
       "497/504                  NA               NA               NA               NA\n",
       "498                      NA               NA               NA               NA\n",
       "50                       NA               NA               NA               NA\n",
       "502                      NA               NA               NA               NA\n",
       "505                      NA               NA               NA               NA\n",
       "512                      NA               NA                7               NA\n",
       "513                      NA               NA                2               NA\n",
       "516                      NA               NA               14               NA\n",
       "528                      NA               NA                9               NA\n",
       "544                      25               32               NA               43\n",
       "545                      NA               NA               NA               NA\n",
       "546                      NA               NA               NA               NA\n",
       "548                      NA               NA               NA               NA\n",
       "56                       NA               NA               NA               NA\n",
       "560                       7               NA               NA               21\n",
       "562                      NA               NA               NA               NA\n",
       "568                      NA               NA               NA               NA\n",
       "569                      NA               NA               NA               NA\n",
       "57                       NA               NA               NA               NA\n",
       "577                      NA               NA               15               NA\n",
       "580                      NA               NA                8               NA\n",
       "6                        NA               NA               NA               NA\n",
       "601                      NA               NA                9               NA\n",
       "608                      25               30               NA               NA\n",
       "609                      NA               NA               NA               NA\n",
       "610                      NA               NA               NA               NA\n",
       "612                      NA               NA               NA               NA\n",
       "617                      NA                2               NA               NA\n",
       "624                       7               NA               NA               NA\n",
       "625/632                  NA               NA               NA               NA\n",
       "626                      NA               NA               NA               NA\n",
       "633                      NA               NA               NA               NA\n",
       "64                       NA               NA               NA               NA\n",
       "641                      NA               NA                2               NA\n",
       "644                      NA               NA               30               NA\n",
       "65                       21               26               15               NA\n",
       "66/71                    NA               NA               NA               NA\n",
       "67                       NA               NA               NA               NA\n",
       "672                      26               32               NA               46\n",
       "673                      NA               NA               NA               NA\n",
       "674                      NA               NA               NA               NA\n",
       "676                      NA               NA               NA               NA\n",
       "68                        4                4                8               NA\n",
       "688                       6               NA               NA               18\n",
       "690                      NA               NA               NA               NA\n",
       "696                      NA               NA               NA               NA\n",
       "697                      NA               NA               NA               NA\n",
       "70                       NA               NA               NA               NA\n",
       "704/709                  NA               NA               16               NA\n",
       "705                      NA               NA                2               NA\n",
       "708                      NA               NA                8               NA\n",
       "729                      NA               NA                6               NA\n",
       "73                       NA                2               NA               NA\n",
       "736                      26               30               NA               NA\n",
       "737                      NA               NA               NA               NA\n",
       "738                      NA               NA               NA               NA\n",
       "740                      NA               NA               NA               NA\n",
       "745                      NA                2               NA               NA\n",
       "752                       6               NA               NA               NA\n",
       "753/760                  NA               NA               NA               NA\n",
       "754                      NA               NA               NA               NA\n",
       "76                       NA               NA               NA               NA\n",
       "761                      NA               NA               NA               NA\n",
       "784                      NA               NA               18               NA\n",
       "790                      NA               NA               14               NA\n",
       "80                       NA               NA               NA               NA\n",
       "800                      NA               32               NA               NA\n",
       "81                        3               NA               NA               NA\n",
       "816                      32               NA               NA               64\n",
       "818                      NA               NA               NA               NA\n",
       "822                      NA               NA               NA               NA\n",
       "824                      NA               NA               NA               NA\n",
       "825                      NA               NA               NA               NA\n",
       "82/85                    NA               NA               NA               NA\n",
       "83                       NA               NA               NA               NA\n",
       "850/853                  NA               NA                6               NA\n",
       "854                      NA               NA                8               NA\n",
       "857                      NA               NA               18               NA\n",
       "86                       NA               NA               NA               NA\n",
       "864                      NA               30               NA               NA\n",
       "873                      NA                2               NA               NA\n",
       "880                      32               NA               NA               NA\n",
       "881/888                  NA               NA               NA               NA\n",
       "882                      NA               NA               NA               NA\n",
       "886                      NA               NA               NA               NA\n",
       "889                      NA               NA               NA               NA\n",
       "89                       NA               NA                9               NA\n",
       "918                      NA               NA               32               NA\n",
       "928                      NA               32               NA               NA\n",
       "944                      32               NA               NA               64\n",
       "946                      NA               NA               NA               NA\n",
       "950                      NA               NA               NA               NA\n",
       "952                      NA               NA               NA               NA\n",
       "953                      NA               NA               NA               NA\n",
       "96                       NA               NA               NA               NA\n",
       "978/981                  NA               NA               16               NA\n",
       "982                      NA               NA                8               NA\n",
       "985                      NA               NA                8               NA\n",
       "992                      NA               30               NA               NA\n",
       "          IL21e_0.basinSize TGFBe_0.basinSize IL10e_0.basinSize IL2_1.basinSize\n",
       "0                        27                27                27              NA\n",
       "1                         2                 2                 2              20\n",
       "100                      NA                NA                NA              NA\n",
       "1001                     NA                NA                NA              NA\n",
       "1008                     NA                NA                NA              NA\n",
       "1009/1016                NA                NA                NA              NA\n",
       "1010                     NA                NA                NA              NA\n",
       "1014                     NA                NA                NA              NA\n",
       "1017                     NA                NA                NA              32\n",
       "112                       3                 3                 3              NA\n",
       "113/120                   4                 4                 4              NA\n",
       "114                      NA                NA                NA              NA\n",
       "12                       NA                NA                NA              NA\n",
       "121                       1                 1                 1               4\n",
       "128                      NA                NA                NA              NA\n",
       "129                      NA                 2                 2              20\n",
       "131                      NA                NA                NA              NA\n",
       "132                      NA                54                54              NA\n",
       "134                      NA                NA                NA              NA\n",
       "140                      NA                NA                NA              NA\n",
       "144                      NA                NA                NA              NA\n",
       "145                      NA                NA                NA              NA\n",
       "147                      NA                NA                NA              NA\n",
       "150                      NA                NA                NA              NA\n",
       "153                      NA                NA                NA               8\n",
       "16                       13                13                13              NA\n",
       "160                      NA                NA                NA              NA\n",
       "164                      NA                NA                NA              NA\n",
       "17                       NA                NA                NA              NA\n",
       "176                      NA                 8                 8              NA\n",
       "178                      NA                NA                NA              NA\n",
       "184                      NA                NA                NA              NA\n",
       "185                      NA                NA                NA               4\n",
       "19                       NA                NA                NA              NA\n",
       "192/197                  NA                36                36              NA\n",
       "193                      NA                 2                 2              20\n",
       "194/199                  NA                NA                NA              NA\n",
       "195                      NA                NA                NA              NA\n",
       "196                      NA                 8                 8              NA\n",
       "198                      NA                NA                NA              NA\n",
       "200/221                  NA                NA                NA              NA\n",
       "201                      NA                NA                NA              NA\n",
       "204                      NA                NA                NA              NA\n",
       "209                      NA                NA                NA              NA\n",
       "210/213                  NA                NA                NA              NA\n",
       "211                      NA                NA                NA              NA\n",
       "214                      NA                NA                NA              NA\n",
       "217                      NA                10                10               8\n",
       "22                       NA                NA                NA              NA\n",
       "224                      NA                NA                NA              NA\n",
       "228                      NA                NA                NA              NA\n",
       "24                       NA                NA                NA              NA\n",
       "240                      NA                 3                 3              NA\n",
       "241/248                  NA                 4                 4              NA\n",
       "242                      NA                NA                NA              NA\n",
       "249                      NA                 1                 1               4\n",
       "25                       NA                NA                NA               8\n",
       "256                      NA                NA                NA              NA\n",
       "257                      NA                NA                NA              NA\n",
       "260                      NA                NA                NA              NA\n",
       "272                      26                NA                26              NA\n",
       "273                      NA                NA                NA              NA\n",
       "275                      NA                NA                NA              NA\n",
       "276                      NA                NA                NA              NA\n",
       "278                      14                NA                14              NA\n",
       "280                      NA                NA                NA              NA\n",
       "281                      NA                NA                NA              20\n",
       "284                      NA                NA                NA              NA\n",
       "3                        NA                NA                NA              NA\n",
       "304                      24                NA                24              NA\n",
       "306                      NA                NA                NA              NA\n",
       "310                      NA                NA                NA              NA\n",
       "312                      NA                NA                NA              NA\n",
       "313                      NA                NA                NA              12\n",
       "32                       NA                NA                NA              NA\n",
       "321                      NA                NA                NA              NA\n",
       "324                      NA                NA                NA              NA\n",
       "329                      NA                NA                NA              NA\n",
       "336                      NA                NA                NA              NA\n",
       "337                      NA                NA                NA              NA\n",
       "338/341                   6                NA                 6              NA\n",
       "338/343                  NA                NA                NA              NA\n",
       "339                      NA                NA                NA              NA\n",
       "340                      NA                NA                NA              NA\n",
       "342                       8                NA                 8              NA\n",
       "345                      26                NA                26              20\n",
       "348                      NA                NA                NA              NA\n",
       "36                       NA                NA                NA              NA\n",
       "368                      19                NA                19              NA\n",
       "369/376                   4                NA                 4              NA\n",
       "370                      NA                NA                NA              NA\n",
       "374                      NA                NA                NA              NA\n",
       "377                       1                NA                 1              12\n",
       "385                      NA                NA                NA              NA\n",
       "388                      NA                NA                NA              NA\n",
       "4                        14                14                14              NA\n",
       "400                      NA                NA                NA              NA\n",
       "401                      NA                NA                NA              NA\n",
       "403                      NA                NA                NA              NA\n",
       "404                      NA                NA                NA              NA\n",
       "406                      NA                NA                40              NA\n",
       "409                      NA                NA                NA              20\n",
       "412                      NA                NA                NA              NA\n",
       "432                      NA                NA                24              NA\n",
       "434                      NA                NA                NA              NA\n",
       "438                      NA                NA                NA              NA\n",
       "440                      NA                NA                NA              NA\n",
       "441                      NA                NA                NA              12\n",
       "448/453                  NA                NA                NA              NA\n",
       "449                      NA                NA                NA              NA\n",
       "452                      NA                NA                NA              NA\n",
       "457                      NA                NA                NA              NA\n",
       "464/469                  NA                NA                NA              NA\n",
       "465                      NA                NA                NA              NA\n",
       "466/469                  NA                NA                20              NA\n",
       "466/471                  NA                NA                NA              NA\n",
       "467                      NA                NA                NA              NA\n",
       "468                      NA                NA                NA              NA\n",
       "470                      NA                NA                 8              NA\n",
       "472/477                  NA                NA                NA              NA\n",
       "473                      NA                NA                12              20\n",
       "476                      NA                NA                NA              NA\n",
       "48                        8                 8                 8              NA\n",
       "496                      NA                NA                19              NA\n",
       "497/504                  NA                NA                 4              NA\n",
       "498                      NA                NA                NA              NA\n",
       "50                       NA                NA                NA              NA\n",
       "502                      NA                NA                NA              NA\n",
       "505                      NA                NA                 1              12\n",
       "512                      NA                NA                NA              NA\n",
       "513                      NA                NA                NA              NA\n",
       "516                      NA                NA                NA              NA\n",
       "528                      NA                NA                NA              NA\n",
       "544                      43                43                NA              NA\n",
       "545                      NA                NA                NA              20\n",
       "546                      NA                NA                NA              NA\n",
       "548                      NA                NA                NA              NA\n",
       "56                       NA                NA                NA              NA\n",
       "560                      21                21                NA              NA\n",
       "562                      NA                NA                NA              NA\n",
       "568                      NA                NA                NA              NA\n",
       "569                      NA                NA                NA              12\n",
       "57                       NA                NA                NA               4\n",
       "577                      NA                NA                NA              NA\n",
       "580                      NA                NA                NA              NA\n",
       "6                        NA                NA                NA              NA\n",
       "601                      NA                NA                NA              NA\n",
       "608                      43                43                NA              NA\n",
       "609                      NA                NA                NA              20\n",
       "610                      NA                NA                NA              NA\n",
       "612                      NA                NA                NA              NA\n",
       "617                      NA                NA                NA              NA\n",
       "624                       3                 3                NA              NA\n",
       "625/632                  13                13                NA              NA\n",
       "626                      NA                NA                NA              NA\n",
       "633                       5                 5                NA              12\n",
       "64                       NA                NA                NA              NA\n",
       "641                      NA                NA                NA              NA\n",
       "644                      NA                NA                NA              NA\n",
       "65                       35                35                35              20\n",
       "66/71                    NA                NA                NA              NA\n",
       "67                       NA                NA                NA              NA\n",
       "672                      NA                46                NA              NA\n",
       "673                      NA                NA                NA              20\n",
       "674                      NA                NA                NA              NA\n",
       "676                      NA                NA                NA              NA\n",
       "68                        8                 8                 8              NA\n",
       "688                      NA                18                NA              NA\n",
       "690                      NA                NA                NA              NA\n",
       "696                      NA                NA                NA              NA\n",
       "697                      NA                NA                NA              12\n",
       "70                       NA                NA                NA              NA\n",
       "704/709                  NA                NA                NA              NA\n",
       "705                      NA                NA                NA              NA\n",
       "708                      NA                NA                NA              NA\n",
       "729                      NA                NA                NA              NA\n",
       "73                       NA                NA                NA              NA\n",
       "736                      NA                46                NA              NA\n",
       "737                      NA                NA                NA              20\n",
       "738                      NA                NA                NA              NA\n",
       "740                      NA                NA                NA              NA\n",
       "745                      NA                NA                NA              NA\n",
       "752                      NA                 3                NA              NA\n",
       "753/760                  NA                10                NA              NA\n",
       "754                      NA                NA                NA              NA\n",
       "76                       NA                NA                NA              NA\n",
       "761                      NA                 5                NA              12\n",
       "784                      NA                NA                NA              NA\n",
       "790                      NA                NA                NA              NA\n",
       "80                       NA                NA                NA              NA\n",
       "800                      NA                NA                NA              NA\n",
       "81                       NA                NA                NA              NA\n",
       "816                      64                NA                NA              NA\n",
       "818                      NA                NA                NA              NA\n",
       "822                      NA                NA                NA              NA\n",
       "824                      NA                NA                NA              NA\n",
       "825                      NA                NA                NA              32\n",
       "82/85                    NA                NA                NA              NA\n",
       "83                       NA                NA                NA              NA\n",
       "850/853                  NA                NA                NA              NA\n",
       "854                      NA                NA                NA              NA\n",
       "857                      NA                NA                NA              NA\n",
       "86                       NA                NA                NA              NA\n",
       "864                      NA                NA                NA              NA\n",
       "873                      NA                NA                NA              NA\n",
       "880                      43                NA                NA              NA\n",
       "881/888                  16                NA                NA              NA\n",
       "882                      NA                NA                NA              NA\n",
       "886                      NA                NA                NA              NA\n",
       "889                       5                NA                NA              32\n",
       "89                       13                13                13               8\n",
       "918                      NA                NA                NA              NA\n",
       "928                      NA                NA                NA              NA\n",
       "944                      NA                NA                NA              NA\n",
       "946                      NA                NA                NA              NA\n",
       "950                      NA                NA                NA              NA\n",
       "952                      NA                NA                NA              NA\n",
       "953                      NA                NA                NA              32\n",
       "96                       NA                NA                NA              NA\n",
       "978/981                  NA                NA                NA              NA\n",
       "982                      NA                NA                NA              NA\n",
       "985                      NA                NA                NA              NA\n",
       "992                      NA                NA                NA              NA\n",
       "          RORGT_1.basinSize STAT3_1.basinSize FOXP3_1.basinSize\n",
       "0                        NA                NA                NA\n",
       "1                        NA                NA                NA\n",
       "100                      NA                16                NA\n",
       "1001                     NA                NA                NA\n",
       "1008                     NA                NA                NA\n",
       "1009/1016                NA                NA                NA\n",
       "1010                     32                NA                NA\n",
       "1014                     NA                32                NA\n",
       "1017                     NA                NA                32\n",
       "112                      NA                NA                NA\n",
       "113/120                  NA                NA                NA\n",
       "114                       4                NA                NA\n",
       "12                       NA                NA                 6\n",
       "121                      NA                NA                 4\n",
       "128                      NA                NA                NA\n",
       "129                      NA                NA                NA\n",
       "131                       1                NA                NA\n",
       "132                      NA                16                NA\n",
       "134                      26                NA                NA\n",
       "140                      NA                NA                28\n",
       "144                      NA                NA                NA\n",
       "145                      NA                NA                NA\n",
       "147                       1                NA                NA\n",
       "150                      NA                NA                NA\n",
       "153                      NA                NA                NA\n",
       "16                       NA                NA                NA\n",
       "160                      NA                NA                NA\n",
       "164                      NA                16                NA\n",
       "17                       NA                NA                NA\n",
       "176                      NA                NA                NA\n",
       "178                       4                NA                NA\n",
       "184                      NA                NA                 4\n",
       "185                      NA                NA                NA\n",
       "19                        1                NA                NA\n",
       "192/197                  NA                NA                NA\n",
       "193                      NA                NA                NA\n",
       "194/199                  18                NA                NA\n",
       "195                       1                NA                NA\n",
       "196                      NA                16                NA\n",
       "198                       4                NA                NA\n",
       "200/221                  NA                NA                 8\n",
       "201                      NA                NA                NA\n",
       "204                      NA                NA                 4\n",
       "209                      NA                NA                NA\n",
       "210/213                  NA                NA                NA\n",
       "211                       5                NA                NA\n",
       "214                      NA                NA                NA\n",
       "217                      NA                NA                16\n",
       "22                       NA                NA                NA\n",
       "224                      NA                NA                NA\n",
       "228                      NA                16                NA\n",
       "24                       NA                NA                22\n",
       "240                      NA                NA                NA\n",
       "241/248                  NA                NA                NA\n",
       "242                       4                NA                NA\n",
       "249                      NA                NA                 4\n",
       "25                       NA                NA                NA\n",
       "256                      NA                NA                NA\n",
       "257                      NA                NA                NA\n",
       "260                      NA                NA                NA\n",
       "272                      NA                NA                NA\n",
       "273                      NA                NA                NA\n",
       "275                       2                NA                NA\n",
       "276                      NA                NA                NA\n",
       "278                      18                16                NA\n",
       "280                      NA                NA                14\n",
       "281                      NA                NA                NA\n",
       "284                      NA                NA                 6\n",
       "3                         1                NA                NA\n",
       "304                      NA                NA                NA\n",
       "306                      12                NA                NA\n",
       "310                      NA                16                NA\n",
       "312                      NA                NA                12\n",
       "313                      NA                NA                NA\n",
       "32                       NA                NA                NA\n",
       "321                      NA                NA                NA\n",
       "324                      NA                NA                NA\n",
       "329                      NA                NA                NA\n",
       "336                      NA                NA                NA\n",
       "337                      NA                NA                NA\n",
       "338/341                  NA                NA                NA\n",
       "338/343                  10                NA                NA\n",
       "339                       6                NA                NA\n",
       "340                      NA                NA                NA\n",
       "342                       4                16                NA\n",
       "345                      NA                NA                16\n",
       "348                      NA                NA                 4\n",
       "36                       NA                16                NA\n",
       "368                      NA                NA                NA\n",
       "369/376                  NA                NA                NA\n",
       "370                      12                NA                NA\n",
       "374                      NA                16                NA\n",
       "377                      NA                NA                12\n",
       "385                      NA                NA                NA\n",
       "388                      NA                NA                NA\n",
       "4                        NA                16                NA\n",
       "400                      NA                NA                NA\n",
       "401                      NA                NA                NA\n",
       "403                       2                NA                NA\n",
       "404                      NA                NA                NA\n",
       "406                      18                16                NA\n",
       "409                      NA                NA                NA\n",
       "412                      NA                NA                20\n",
       "432                      NA                NA                NA\n",
       "434                      12                NA                NA\n",
       "438                      NA                16                NA\n",
       "440                      NA                NA                12\n",
       "441                      NA                NA                NA\n",
       "448/453                  NA                NA                NA\n",
       "449                      NA                NA                NA\n",
       "452                      NA                NA                NA\n",
       "457                      NA                NA                NA\n",
       "464/469                  NA                NA                NA\n",
       "465                      NA                NA                NA\n",
       "466/469                  NA                NA                NA\n",
       "466/471                  10                NA                NA\n",
       "467                       6                NA                NA\n",
       "468                      NA                NA                NA\n",
       "470                       4                16                NA\n",
       "472/477                  NA                NA                 8\n",
       "473                      NA                NA                 8\n",
       "476                      NA                NA                 4\n",
       "48                       NA                NA                NA\n",
       "496                      NA                NA                NA\n",
       "497/504                  NA                NA                NA\n",
       "498                      12                NA                NA\n",
       "50                        4                NA                NA\n",
       "502                      NA                16                NA\n",
       "505                      NA                NA                12\n",
       "512                      NA                NA                NA\n",
       "513                      NA                NA                NA\n",
       "516                      NA                NA                NA\n",
       "528                      NA                NA                NA\n",
       "544                      NA                NA                NA\n",
       "545                      NA                NA                NA\n",
       "546                      23                NA                NA\n",
       "548                      NA                32                NA\n",
       "56                       NA                NA                 4\n",
       "560                      NA                NA                NA\n",
       "562                       9                NA                NA\n",
       "568                      NA                NA                32\n",
       "569                      NA                NA                NA\n",
       "57                       NA                NA                NA\n",
       "577                      NA                NA                NA\n",
       "580                      NA                NA                NA\n",
       "6                        26                NA                NA\n",
       "601                      NA                NA                NA\n",
       "608                      NA                NA                NA\n",
       "609                      NA                NA                NA\n",
       "610                      23                NA                NA\n",
       "612                      NA                32                NA\n",
       "617                      NA                NA                NA\n",
       "624                      NA                NA                NA\n",
       "625/632                  NA                NA                NA\n",
       "626                       9                NA                NA\n",
       "633                      NA                NA                32\n",
       "64                       NA                NA                NA\n",
       "641                      NA                NA                NA\n",
       "644                      NA                NA                NA\n",
       "65                       NA                NA                NA\n",
       "66/71                    18                NA                NA\n",
       "67                        1                NA                NA\n",
       "672                      NA                NA                NA\n",
       "673                      NA                NA                NA\n",
       "674                      23                NA                NA\n",
       "676                      NA                32                NA\n",
       "68                       NA                16                NA\n",
       "688                      NA                NA                NA\n",
       "690                       9                NA                NA\n",
       "696                      NA                NA                32\n",
       "697                      NA                NA                NA\n",
       "70                        4                NA                NA\n",
       "704/709                  NA                NA                NA\n",
       "705                      NA                NA                NA\n",
       "708                      NA                NA                NA\n",
       "729                      NA                NA                NA\n",
       "73                       NA                NA                NA\n",
       "736                      NA                NA                NA\n",
       "737                      NA                NA                NA\n",
       "738                      23                NA                NA\n",
       "740                      NA                32                NA\n",
       "745                      NA                NA                NA\n",
       "752                      NA                NA                NA\n",
       "753/760                  NA                NA                NA\n",
       "754                       9                NA                NA\n",
       "76                       NA                NA                 4\n",
       "761                      NA                NA                32\n",
       "784                      NA                NA                NA\n",
       "790                      NA                NA                NA\n",
       "80                       NA                NA                NA\n",
       "800                      NA                NA                NA\n",
       "81                       NA                NA                NA\n",
       "816                      NA                NA                NA\n",
       "818                      32                NA                NA\n",
       "822                      NA                32                NA\n",
       "824                      NA                NA                32\n",
       "825                      NA                NA                NA\n",
       "82/85                    NA                NA                NA\n",
       "83                        5                NA                NA\n",
       "850/853                  NA                NA                NA\n",
       "854                      NA                NA                NA\n",
       "857                      NA                NA                NA\n",
       "86                       NA                NA                NA\n",
       "864                      NA                NA                NA\n",
       "873                      NA                NA                NA\n",
       "880                      NA                NA                NA\n",
       "881/888                  NA                NA                NA\n",
       "882                      32                NA                NA\n",
       "886                      NA                32                NA\n",
       "889                      NA                NA                32\n",
       "89                       NA                NA                24\n",
       "918                      NA                NA                NA\n",
       "928                      NA                NA                NA\n",
       "944                      NA                NA                NA\n",
       "946                      32                NA                NA\n",
       "950                      NA                32                NA\n",
       "952                      NA                NA                32\n",
       "953                      NA                NA                NA\n",
       "96                       NA                NA                NA\n",
       "978/981                  NA                NA                NA\n",
       "982                      NA                NA                NA\n",
       "985                      NA                NA                NA\n",
       "992                      NA                NA                NA\n",
       "          TGFB_1.basinSize IL10_1.basinSize IL2e_1.basinSize IL21e_1.basinSize\n",
       "0                       NA               NA               NA                NA\n",
       "1                       NA               NA               NA                NA\n",
       "100                     NA               NA               NA                NA\n",
       "1001                    NA               NA               NA                NA\n",
       "1008                    23               23               47                47\n",
       "1009/1016                6                7               12                12\n",
       "1010                    NA               NA               NA                NA\n",
       "1014                    NA               NA               NA                NA\n",
       "1017                     3                2                5                 5\n",
       "112                     11                3                3                NA\n",
       "113/120                  4                7                4                NA\n",
       "114                     NA               NA               NA                NA\n",
       "12                      NA               NA               NA                NA\n",
       "121                      1                2                1                NA\n",
       "128                     NA               NA               NA                NA\n",
       "129                     NA               NA               NA                 2\n",
       "131                     NA               NA               NA                NA\n",
       "132                     NA               NA               NA                54\n",
       "134                     NA               NA               NA                NA\n",
       "140                     NA               NA               NA                NA\n",
       "144                     NA               NA               NA                NA\n",
       "145                     NA               NA               NA                NA\n",
       "147                     NA               NA               NA                NA\n",
       "150                     16               NA               NA                NA\n",
       "153                     NA               NA               NA                NA\n",
       "16                       8               NA               NA                NA\n",
       "160                     NA               20               NA                NA\n",
       "164                     NA               NA               NA                NA\n",
       "17                      NA               NA               NA                NA\n",
       "176                     16               12               NA                 8\n",
       "178                     NA               NA               NA                NA\n",
       "184                     NA               NA               NA                NA\n",
       "185                     NA               NA               NA                NA\n",
       "19                      NA               NA               NA                NA\n",
       "192/197                 NA               NA               36                36\n",
       "193                     NA               NA                2                 2\n",
       "194/199                 NA               NA               NA                NA\n",
       "195                     NA               NA               NA                NA\n",
       "196                     NA               NA                8                 8\n",
       "198                     NA               NA               NA                NA\n",
       "200/221                 NA               NA               NA                NA\n",
       "201                     NA               NA               NA                NA\n",
       "204                     NA               NA               NA                NA\n",
       "209                     NA               NA               NA                NA\n",
       "210/213                  8               NA               NA                NA\n",
       "211                     NA               NA               NA                NA\n",
       "214                      4               NA               NA                NA\n",
       "217                      4               NA               10                10\n",
       "22                       8               NA               NA                NA\n",
       "224                     NA               20               NA                NA\n",
       "228                     NA               NA               NA                NA\n",
       "24                      NA               NA               NA                NA\n",
       "240                     11                3                3                 3\n",
       "241/248                  4                7                4                 4\n",
       "242                     NA               NA               NA                NA\n",
       "249                      1                2                1                 1\n",
       "25                      NA               NA               NA                NA\n",
       "256                     NA               NA               NA                NA\n",
       "257                     NA               NA               NA                NA\n",
       "260                     NA               NA               NA                NA\n",
       "272                      8               NA               NA                NA\n",
       "273                     NA               NA               NA                NA\n",
       "275                     NA               NA               NA                NA\n",
       "276                     NA               NA               NA                NA\n",
       "278                      8               NA               NA                NA\n",
       "280                     NA               NA               NA                NA\n",
       "281                     NA               NA               NA                NA\n",
       "284                     NA               NA               NA                NA\n",
       "3                       NA               NA               NA                NA\n",
       "304                     16               32               NA                NA\n",
       "306                     NA               NA               NA                NA\n",
       "310                     NA               NA               NA                NA\n",
       "312                     NA               NA               NA                NA\n",
       "313                     NA               NA               NA                NA\n",
       "32                      NA               20               NA                NA\n",
       "321                     NA               NA               NA                NA\n",
       "324                     NA               NA               NA                NA\n",
       "329                     NA               NA               NA                NA\n",
       "336                     NA               NA               NA                NA\n",
       "337                     NA               NA               NA                NA\n",
       "338/341                  4               NA                6                NA\n",
       "338/343                 NA               NA               NA                NA\n",
       "339                     NA               NA               NA                NA\n",
       "340                     NA               NA               NA                NA\n",
       "342                      4               NA                8                NA\n",
       "345                      8               NA               26                NA\n",
       "348                     NA               NA               NA                NA\n",
       "36                      NA               NA               NA                NA\n",
       "368                     11               23               19                NA\n",
       "369/376                  4                7                4                NA\n",
       "370                     NA               NA               NA                NA\n",
       "374                     NA               NA               NA                NA\n",
       "377                      1                2                1                NA\n",
       "385                     NA               NA               NA                NA\n",
       "388                     NA               NA               NA                NA\n",
       "4                       NA               NA               NA                NA\n",
       "400                     NA               NA               NA                NA\n",
       "401                     NA               NA               NA                NA\n",
       "403                     NA               NA               NA                NA\n",
       "404                     NA               NA               NA                NA\n",
       "406                     16               NA               NA                40\n",
       "409                     NA               NA               NA                NA\n",
       "412                     NA               NA               NA                NA\n",
       "432                     16               32               NA                24\n",
       "434                     NA               NA               NA                NA\n",
       "438                     NA               NA               NA                NA\n",
       "440                     NA               NA               NA                NA\n",
       "441                     NA               NA               NA                NA\n",
       "448/453                 NA               NA               NA                NA\n",
       "449                     NA               NA               NA                NA\n",
       "452                     NA               NA               NA                NA\n",
       "457                     NA               NA               NA                NA\n",
       "464/469                 NA               NA               NA                NA\n",
       "465                     NA               NA               NA                NA\n",
       "466/469                  8               NA               20                20\n",
       "466/471                 NA               NA               NA                NA\n",
       "467                     NA               NA               NA                NA\n",
       "468                     NA               NA               NA                NA\n",
       "470                      4               NA                8                 8\n",
       "472/477                 NA               NA               NA                NA\n",
       "473                      4               NA               12                12\n",
       "476                     NA               NA               NA                NA\n",
       "48                      16               12               NA                NA\n",
       "496                     11               23               19                19\n",
       "497/504                  4                7                4                 4\n",
       "498                     NA               NA               NA                NA\n",
       "50                      NA               NA               NA                NA\n",
       "502                     NA               NA               NA                NA\n",
       "505                      1                2                1                 1\n",
       "512                     NA               NA               NA                NA\n",
       "513                     NA               NA               NA                NA\n",
       "516                     NA               NA               NA                NA\n",
       "528                     NA               NA               NA                NA\n",
       "544                     NA               20               NA                NA\n",
       "545                     NA               NA               NA                NA\n",
       "546                     NA               NA               NA                NA\n",
       "548                     NA               NA               NA                NA\n",
       "56                      NA               NA               NA                NA\n",
       "560                     32               12               NA                NA\n",
       "562                     NA               NA               NA                NA\n",
       "568                     NA               NA               NA                NA\n",
       "569                     NA               NA               NA                NA\n",
       "57                      NA               NA               NA                NA\n",
       "577                     NA               NA               NA                NA\n",
       "580                     NA               NA               NA                NA\n",
       "6                       NA               NA               NA                NA\n",
       "601                     NA               NA               NA                NA\n",
       "608                     NA               20               43                NA\n",
       "609                     NA               NA               NA                NA\n",
       "610                     NA               NA               NA                NA\n",
       "612                     NA               NA               NA                NA\n",
       "617                     NA               NA               NA                NA\n",
       "624                     21                3                3                NA\n",
       "625/632                  8                7               13                NA\n",
       "626                     NA               NA               NA                NA\n",
       "633                      3                2                5                NA\n",
       "64                      NA               NA               NA                NA\n",
       "641                     NA               NA               NA                NA\n",
       "644                     NA               NA               NA                NA\n",
       "65                      NA               NA               35                NA\n",
       "66/71                   NA               NA               NA                NA\n",
       "67                      NA               NA               NA                NA\n",
       "672                     NA               20               NA                46\n",
       "673                     NA               NA               NA                NA\n",
       "674                     NA               NA               NA                NA\n",
       "676                     NA               NA               NA                NA\n",
       "68                      NA               NA                8                NA\n",
       "688                     32               12               NA                18\n",
       "690                     NA               NA               NA                NA\n",
       "696                     NA               NA               NA                NA\n",
       "697                     NA               NA               NA                NA\n",
       "70                      NA               NA               NA                NA\n",
       "704/709                 NA               NA               NA                NA\n",
       "705                     NA               NA               NA                NA\n",
       "708                     NA               NA               NA                NA\n",
       "729                     NA               NA               NA                NA\n",
       "73                      NA               NA               NA                NA\n",
       "736                     NA               20               46                46\n",
       "737                     NA               NA               NA                NA\n",
       "738                     NA               NA               NA                NA\n",
       "740                     NA               NA               NA                NA\n",
       "745                     NA               NA               NA                NA\n",
       "752                     23                3                3                 3\n",
       "753/760                  6                7               10                10\n",
       "754                     NA               NA               NA                NA\n",
       "76                      NA               NA               NA                NA\n",
       "761                      3                2                5                 5\n",
       "784                     NA               NA               NA                NA\n",
       "790                     NA               NA               NA                NA\n",
       "80                      NA               NA               NA                NA\n",
       "800                     NA               NA               NA                NA\n",
       "81                      NA               NA               NA                NA\n",
       "816                     32               32               NA                NA\n",
       "818                     NA               NA               NA                NA\n",
       "822                     NA               NA               NA                NA\n",
       "824                     NA               NA               NA                NA\n",
       "825                     NA               NA               NA                NA\n",
       "82/85                    4               NA               NA                NA\n",
       "83                      NA               NA               NA                NA\n",
       "850/853                 NA               NA               NA                NA\n",
       "854                     NA               NA               NA                NA\n",
       "857                     NA               NA               NA                NA\n",
       "86                       4               NA               NA                NA\n",
       "864                     NA               NA               NA                NA\n",
       "873                     NA               NA               NA                NA\n",
       "880                     21               23               43                NA\n",
       "881/888                  8                7               16                NA\n",
       "882                     NA               NA               NA                NA\n",
       "886                     NA               NA               NA                NA\n",
       "889                      3                2                5                NA\n",
       "89                       8               NA               13                NA\n",
       "918                     NA               NA               NA                NA\n",
       "928                     NA               NA               NA                NA\n",
       "944                     32               32               NA                64\n",
       "946                     NA               NA               NA                NA\n",
       "950                     NA               NA               NA                NA\n",
       "952                     NA               NA               NA                NA\n",
       "953                     NA               NA               NA                NA\n",
       "96                      NA               20               NA                NA\n",
       "978/981                 NA               NA               NA                NA\n",
       "982                     NA               NA               NA                NA\n",
       "985                     NA               NA               NA                NA\n",
       "992                     NA               NA               NA                NA\n",
       "          TGFBe_1.basinSize IL10e_1.basinSize\n",
       "0                        NA                NA\n",
       "1                        NA                NA\n",
       "100                      NA                NA\n",
       "1001                     NA                NA\n",
       "1008                     47                47\n",
       "1009/1016                12                12\n",
       "1010                     NA                NA\n",
       "1014                     NA                NA\n",
       "1017                      5                 5\n",
       "112                      NA                NA\n",
       "113/120                  NA                NA\n",
       "114                      NA                NA\n",
       "12                       NA                NA\n",
       "121                      NA                NA\n",
       "128                      NA                NA\n",
       "129                      NA                NA\n",
       "131                      NA                NA\n",
       "132                      NA                NA\n",
       "134                      NA                NA\n",
       "140                      NA                NA\n",
       "144                      NA                NA\n",
       "145                      NA                NA\n",
       "147                      NA                NA\n",
       "150                      NA                NA\n",
       "153                      NA                NA\n",
       "16                       NA                NA\n",
       "160                      NA                NA\n",
       "164                      NA                NA\n",
       "17                       NA                NA\n",
       "176                      NA                NA\n",
       "178                      NA                NA\n",
       "184                      NA                NA\n",
       "185                      NA                NA\n",
       "19                       NA                NA\n",
       "192/197                  NA                NA\n",
       "193                      NA                NA\n",
       "194/199                  NA                NA\n",
       "195                      NA                NA\n",
       "196                      NA                NA\n",
       "198                      NA                NA\n",
       "200/221                  NA                NA\n",
       "201                      NA                NA\n",
       "204                      NA                NA\n",
       "209                      NA                NA\n",
       "210/213                  NA                NA\n",
       "211                      NA                NA\n",
       "214                      NA                NA\n",
       "217                      NA                NA\n",
       "22                       NA                NA\n",
       "224                      NA                NA\n",
       "228                      NA                NA\n",
       "24                       NA                NA\n",
       "240                      NA                NA\n",
       "241/248                  NA                NA\n",
       "242                      NA                NA\n",
       "249                      NA                NA\n",
       "25                       NA                NA\n",
       "256                      NA                NA\n",
       "257                      NA                NA\n",
       "260                      NA                NA\n",
       "272                      26                NA\n",
       "273                      NA                NA\n",
       "275                      NA                NA\n",
       "276                      NA                NA\n",
       "278                      14                NA\n",
       "280                      NA                NA\n",
       "281                      NA                NA\n",
       "284                      NA                NA\n",
       "3                        NA                NA\n",
       "304                      24                NA\n",
       "306                      NA                NA\n",
       "310                      NA                NA\n",
       "312                      NA                NA\n",
       "313                      NA                NA\n",
       "32                       NA                NA\n",
       "321                      NA                NA\n",
       "324                      NA                NA\n",
       "329                      NA                NA\n",
       "336                      NA                NA\n",
       "337                      NA                NA\n",
       "338/341                   6                NA\n",
       "338/343                  NA                NA\n",
       "339                      NA                NA\n",
       "340                      NA                NA\n",
       "342                       8                NA\n",
       "345                      26                NA\n",
       "348                      NA                NA\n",
       "36                       NA                NA\n",
       "368                      19                NA\n",
       "369/376                   4                NA\n",
       "370                      NA                NA\n",
       "374                      NA                NA\n",
       "377                       1                NA\n",
       "385                      NA                NA\n",
       "388                      NA                NA\n",
       "4                        NA                NA\n",
       "400                      NA                NA\n",
       "401                      NA                NA\n",
       "403                      NA                NA\n",
       "404                      NA                NA\n",
       "406                      40                NA\n",
       "409                      NA                NA\n",
       "412                      NA                NA\n",
       "432                      24                NA\n",
       "434                      NA                NA\n",
       "438                      NA                NA\n",
       "440                      NA                NA\n",
       "441                      NA                NA\n",
       "448/453                  NA                NA\n",
       "449                      NA                NA\n",
       "452                      NA                NA\n",
       "457                      NA                NA\n",
       "464/469                  NA                NA\n",
       "465                      NA                NA\n",
       "466/469                  20                NA\n",
       "466/471                  NA                NA\n",
       "467                      NA                NA\n",
       "468                      NA                NA\n",
       "470                       8                NA\n",
       "472/477                  NA                NA\n",
       "473                      12                NA\n",
       "476                      NA                NA\n",
       "48                       NA                NA\n",
       "496                      19                NA\n",
       "497/504                   4                NA\n",
       "498                      NA                NA\n",
       "50                       NA                NA\n",
       "502                      NA                NA\n",
       "505                       1                NA\n",
       "512                      NA                NA\n",
       "513                      NA                NA\n",
       "516                      NA                NA\n",
       "528                      NA                NA\n",
       "544                      NA                43\n",
       "545                      NA                NA\n",
       "546                      NA                NA\n",
       "548                      NA                NA\n",
       "56                       NA                NA\n",
       "560                      NA                21\n",
       "562                      NA                NA\n",
       "568                      NA                NA\n",
       "569                      NA                NA\n",
       "57                       NA                NA\n",
       "577                      NA                NA\n",
       "580                      NA                NA\n",
       "6                        NA                NA\n",
       "601                      NA                NA\n",
       "608                      NA                43\n",
       "609                      NA                NA\n",
       "610                      NA                NA\n",
       "612                      NA                NA\n",
       "617                      NA                NA\n",
       "624                      NA                 3\n",
       "625/632                  NA                13\n",
       "626                      NA                NA\n",
       "633                      NA                 5\n",
       "64                       NA                NA\n",
       "641                      NA                NA\n",
       "644                      NA                NA\n",
       "65                       NA                NA\n",
       "66/71                    NA                NA\n",
       "67                       NA                NA\n",
       "672                      NA                46\n",
       "673                      NA                NA\n",
       "674                      NA                NA\n",
       "676                      NA                NA\n",
       "68                       NA                NA\n",
       "688                      NA                18\n",
       "690                      NA                NA\n",
       "696                      NA                NA\n",
       "697                      NA                NA\n",
       "70                       NA                NA\n",
       "704/709                  NA                NA\n",
       "705                      NA                NA\n",
       "708                      NA                NA\n",
       "729                      NA                NA\n",
       "73                       NA                NA\n",
       "736                      NA                46\n",
       "737                      NA                NA\n",
       "738                      NA                NA\n",
       "740                      NA                NA\n",
       "745                      NA                NA\n",
       "752                      NA                 3\n",
       "753/760                  NA                10\n",
       "754                      NA                NA\n",
       "76                       NA                NA\n",
       "761                      NA                 5\n",
       "784                      NA                NA\n",
       "790                      NA                NA\n",
       "80                       NA                NA\n",
       "800                      NA                NA\n",
       "81                       NA                NA\n",
       "816                      64                64\n",
       "818                      NA                NA\n",
       "822                      NA                NA\n",
       "824                      NA                NA\n",
       "825                      NA                NA\n",
       "82/85                    NA                NA\n",
       "83                       NA                NA\n",
       "850/853                  NA                NA\n",
       "854                      NA                NA\n",
       "857                      NA                NA\n",
       "86                       NA                NA\n",
       "864                      NA                NA\n",
       "873                      NA                NA\n",
       "880                      43                43\n",
       "881/888                  16                16\n",
       "882                      NA                NA\n",
       "886                      NA                NA\n",
       "889                       5                 5\n",
       "89                       NA                NA\n",
       "918                      NA                NA\n",
       "928                      NA                NA\n",
       "944                      64                64\n",
       "946                      NA                NA\n",
       "950                      NA                NA\n",
       "952                      NA                NA\n",
       "953                      NA                NA\n",
       "96                       NA                NA\n",
       "978/981                  NA                NA\n",
       "982                      NA                NA\n",
       "985                      NA                NA\n",
       "992                      NA                NA"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mutants <- perturbNetworkFixedNodes(net)\n",
    "mutants"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now, lets label the states."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Warning message:\n",
      "In `[<-.factor`(`*tmp*`, ri, value = \"⋱\"): invalid factor level, NA generatedWarning message:\n",
      "In `[<-.factor`(`*tmp*`, ri, value = \"⋱\"): invalid factor level, NA generated"
     ]
    },
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>WT.basinSize</th><th scope=col>IL2_0.basinSize</th><th scope=col>RORGT_0.basinSize</th><th scope=col>STAT3_0.basinSize</th><th scope=col>FOXP3_0.basinSize</th><th scope=col>TGFB_0.basinSize</th><th scope=col>IL10_0.basinSize</th><th scope=col>IL2e_0.basinSize</th><th scope=col>IL21e_0.basinSize</th><th scope=col>TGFBe_0.basinSize</th><th scope=col>ellip.h</th><th scope=col>RORGT_1.basinSize</th><th scope=col>STAT3_1.basinSize</th><th scope=col>FOXP3_1.basinSize</th><th scope=col>TGFB_1.basinSize</th><th scope=col>IL10_1.basinSize</th><th scope=col>IL2e_1.basinSize</th><th scope=col>IL21e_1.basinSize</th><th scope=col>TGFBe_1.basinSize</th><th scope=col>IL10e_1.basinSize</th><th scope=col>label</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>0</th><td>27</td><td>11</td><td>15</td><td>6</td><td>15</td><td>24</td><td>7</td><td>27</td><td>27</td><td>27</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>1</th><td>2</td><td>NA</td><td>1</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>100</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>1001</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>2</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>1008</th><td>47</td><td>32</td><td>23</td><td>7</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>23</td><td>23</td><td>47</td><td>47</td><td>47</td><td>47</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>1009/1016</th><td>12</td><td>NA</td><td>4</td><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>6</td><td>7</td><td>12</td><td>12</td><td>12</td><td>12</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>1010</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+RORGT+</td></tr>\n",
       "\t<tr><th scope=row>1014</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>1017</th><td>5</td><td>NA</td><td>5</td><td>5</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>32</td><td>3</td><td>2</td><td>5</td><td>5</td><td>5</td><td>5</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>112</th><td>3</td><td>4</td><td>1</td><td>3</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>3</td><td>3</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>11</td><td>3</td><td>3</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>113/120</th><td>4</td><td>NA</td><td>2</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>4</td><td>4</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>4</td><td>7</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>114</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+RORGT+</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>6</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NoLabel</td></tr>\n",
       "\t<tr><th scope=row>121</th><td>1</td><td>NA</td><td>1</td><td>1</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>1</td><td>1</td><td>⋯</td><td>NA</td><td>NA</td><td>4</td><td>1</td><td>2</td><td>1</td><td>NA</td><td>NA</td><td>NA</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>128</th><td>NA</td><td>NA</td><td>NA</td><td>6</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>129</th><td>2</td><td>NA</td><td>1</td><td>2</td><td>2</td><td>2</td><td>2</td><td>2</td><td>NA</td><td>2</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>2</td><td>NA</td><td>NA</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>131</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>1</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>RORGT+</td></tr>\n",
       "\t<tr><th scope=row>132</th><td>54</td><td>28</td><td>27</td><td>NA</td><td>24</td><td>30</td><td>30</td><td>54</td><td>NA</td><td>54</td><td>⋯</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>54</td><td>NA</td><td>NA</td><td>Th0</td></tr>\n",
       "\t<tr><th scope=row>134</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>26</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>140</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>28</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NoLabel</td></tr>\n",
       "\t<tr><th scope=row>144</th><td>NA</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>TGFB+</td></tr>\n",
       "\t<tr><th scope=row>145</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>2</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>TGFB+</td></tr>\n",
       "\t<tr><th scope=row>147</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>1</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>RORGT+</td></tr>\n",
       "\t<tr><th scope=row>150</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>153</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>16</th><td>13</td><td>5</td><td>8</td><td>16</td><td>1</td><td>NA</td><td>9</td><td>13</td><td>13</td><td>13</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>TGFB+</td></tr>\n",
       "\t<tr><th scope=row>160</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>164</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>17</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>2</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>TGFB+</td></tr>\n",
       "\t<tr><th scope=row>176</th><td>8</td><td>4</td><td>4</td><td>8</td><td>4</td><td>NA</td><td>NA</td><td>8</td><td>NA</td><td>8</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>16</td><td>12</td><td>NA</td><td>8</td><td>NA</td><td>NA</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>31</th><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>NA</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td><td>⋮</td></tr>\n",
       "\t<tr><th scope=row>818</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+RORGT+</td></tr>\n",
       "\t<tr><th scope=row>822</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>824</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>825</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>82/85</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>RORGT+/TGFB+</td></tr>\n",
       "\t<tr><th scope=row>83</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>5</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>RORGT+</td></tr>\n",
       "\t<tr><th scope=row>850/853</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>6</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>RORGT+/TGFB+</td></tr>\n",
       "\t<tr><th scope=row>854</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>857</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>18</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>86</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>864</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>30</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>873</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>2</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>880</th><td>43</td><td>32</td><td>19</td><td>7</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>43</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>21</td><td>23</td><td>43</td><td>NA</td><td>43</td><td>43</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>881/888</th><td>16</td><td>NA</td><td>8</td><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>8</td><td>7</td><td>16</td><td>NA</td><td>16</td><td>16</td><td>IL10+TGFB+/TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>882</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+RORGT+</td></tr>\n",
       "\t<tr><th scope=row>886</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>889</th><td>5</td><td>NA</td><td>5</td><td>5</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>5</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>32</td><td>3</td><td>2</td><td>5</td><td>NA</td><td>5</td><td>5</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>89</th><td>13</td><td>NA</td><td>8</td><td>16</td><td>NA</td><td>NA</td><td>9</td><td>NA</td><td>13</td><td>13</td><td>⋯</td><td>NA</td><td>NA</td><td>24</td><td>8</td><td>NA</td><td>13</td><td>NA</td><td>NA</td><td>NA</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>918</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>928</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>944</th><td>64</td><td>32</td><td>32</td><td>32</td><td>32</td><td>NA</td><td>NA</td><td>64</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>32</td><td>32</td><td>NA</td><td>64</td><td>64</td><td>64</td><td>IL10+TGFB+</td></tr>\n",
       "\t<tr><th scope=row>946</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+RORGT+</td></tr>\n",
       "\t<tr><th scope=row>950</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th17IL10+</td></tr>\n",
       "\t<tr><th scope=row>952</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>32</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>953</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>TregIL10+</td></tr>\n",
       "\t<tr><th scope=row>96</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>978/981</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>RORGT+/TGFB+</td></tr>\n",
       "\t<tr><th scope=row>982</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Th17</td></tr>\n",
       "\t<tr><th scope=row>985</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>Treg</td></tr>\n",
       "\t<tr><th scope=row>992</th><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>30</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>⋯</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td><td>IL10+</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllllllllllllllll}\n",
       "  & WT.basinSize & IL2_0.basinSize & RORGT_0.basinSize & STAT3_0.basinSize & FOXP3_0.basinSize & TGFB_0.basinSize & IL10_0.basinSize & IL2e_0.basinSize & IL21e_0.basinSize & TGFBe_0.basinSize & ellip.h & RORGT_1.basinSize & STAT3_1.basinSize & FOXP3_1.basinSize & TGFB_1.basinSize & IL10_1.basinSize & IL2e_1.basinSize & IL21e_1.basinSize & TGFBe_1.basinSize & IL10e_1.basinSize & label\\\\\n",
       "\\hline\n",
       "\t0 & 27 & 11 & 15 & 6 & 15 & 24 & 7 & 27 & 27 & 27 & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & Th0\\\\\n",
       "\t1 & 2 & NA & 1 & 2 & 2 & 2 & 2 & 2 & 2 & 2 & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & Th0\\\\\n",
       "\t100 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 16 & NA & NA & NA & NA & NA & NA & NA & IL10+\\\\\n",
       "\t1001 & NA & NA & NA & NA & NA & 2 & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & IL10+\\\\\n",
       "\t1008 & 47 & 32 & 23 & 7 & 32 & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & 23 & 23 & 47 & 47 & 47 & 47 & IL10+TGFB+\\\\\n",
       "\t1009/1016 & 12 & NA & 4 & 20 & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & 6 & 7 & 12 & 12 & 12 & 12 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t1010 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 32 & NA & NA & NA & NA & NA & NA & NA & NA & IL10+RORGT+\\\\\n",
       "\t1014 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 32 & NA & NA & NA & NA & NA & NA & NA & Th17IL10+\\\\\n",
       "\t1017 & 5 & NA & 5 & 5 & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 32 & 3 & 2 & 5 & 5 & 5 & 5 & TregIL10+\\\\\n",
       "\t112 & 3 & 4 & 1 & 3 & 4 & NA & NA & NA & 3 & 3 & ⋯ & NA & NA & NA & 11 & 3 & 3 & NA & NA & NA & IL10+TGFB+\\\\\n",
       "\t113/120 & 4 & NA & 2 & 4 & NA & NA & NA & NA & 4 & 4 & ⋯ & NA & NA & NA & 4 & 7 & 4 & NA & NA & NA & IL10+TGFB+/TregIL10+\\\\\n",
       "\t114 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 4 & NA & NA & NA & NA & NA & NA & NA & NA & IL10+RORGT+\\\\\n",
       "\t12 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 6 & NA & NA & NA & NA & NA & NA & NoLabel\\\\\n",
       "\t121 & 1 & NA & 1 & 1 & NA & NA & NA & NA & 1 & 1 & ⋯ & NA & NA & 4 & 1 & 2 & 1 & NA & NA & NA & TregIL10+\\\\\n",
       "\t128 & NA & NA & NA & 6 & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & Th0\\\\\n",
       "\t129 & 2 & NA & 1 & 2 & 2 & 2 & 2 & 2 & NA & 2 & ⋯ & NA & NA & NA & NA & NA & NA & 2 & NA & NA & Th0\\\\\n",
       "\t131 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 1 & NA & NA & NA & NA & NA & NA & NA & NA & RORGT+\\\\\n",
       "\t132 & 54 & 28 & 27 & NA & 24 & 30 & 30 & 54 & NA & 54 & ⋯ & NA & 16 & NA & NA & NA & NA & 54 & NA & NA & Th0\\\\\n",
       "\t134 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 26 & NA & NA & NA & NA & NA & NA & NA & NA & Th17\\\\\n",
       "\t140 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 28 & NA & NA & NA & NA & NA & NA & NoLabel\\\\\n",
       "\t144 & NA & NA & NA & 16 & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & TGFB+\\\\\n",
       "\t145 & NA & NA & NA & NA & 2 & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & TGFB+\\\\\n",
       "\t147 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 1 & NA & NA & NA & NA & NA & NA & NA & NA & RORGT+\\\\\n",
       "\t150 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & 16 & NA & NA & NA & NA & NA & Th17\\\\\n",
       "\t153 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & Treg\\\\\n",
       "\t16 & 13 & 5 & 8 & 16 & 1 & NA & 9 & 13 & 13 & 13 & ⋯ & NA & NA & NA & 8 & NA & NA & NA & NA & NA & TGFB+\\\\\n",
       "\t160 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & 20 & NA & NA & NA & NA & IL10+\\\\\n",
       "\t164 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 16 & NA & NA & NA & NA & NA & NA & NA & IL10+\\\\\n",
       "\t17 & NA & NA & NA & NA & 2 & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & TGFB+\\\\\n",
       "\t176 & 8 & 4 & 4 & 8 & 4 & NA & NA & 8 & NA & 8 & ⋯ & NA & NA & NA & 16 & 12 & NA & 8 & NA & NA & IL10+TGFB+\\\\\n",
       "\t31 & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & NA & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮ & ⋮\\\\\n",
       "\t818 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 32 & NA & NA & NA & NA & NA & NA & NA & NA & IL10+RORGT+\\\\\n",
       "\t822 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 32 & NA & NA & NA & NA & NA & NA & NA & Th17IL10+\\\\\n",
       "\t824 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 32 & NA & NA & NA & NA & NA & NA & TregIL10+\\\\\n",
       "\t825 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & TregIL10+\\\\\n",
       "\t82/85 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & 4 & NA & NA & NA & NA & NA & RORGT+/TGFB+\\\\\n",
       "\t83 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 5 & NA & NA & NA & NA & NA & NA & NA & NA & RORGT+\\\\\n",
       "\t850/853 & NA & NA & NA & NA & NA & NA & 6 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & RORGT+/TGFB+\\\\\n",
       "\t854 & NA & NA & NA & NA & NA & NA & 8 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & Th17\\\\\n",
       "\t857 & NA & NA & NA & NA & NA & NA & 18 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & Treg\\\\\n",
       "\t86 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & 4 & NA & NA & NA & NA & NA & Th17\\\\\n",
       "\t864 & NA & NA & NA & NA & NA & 30 & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & IL10+\\\\\n",
       "\t873 & NA & NA & NA & NA & NA & 2 & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & IL10+\\\\\n",
       "\t880 & 43 & 32 & 19 & 7 & 32 & NA & NA & NA & 43 & NA & ⋯ & NA & NA & NA & 21 & 23 & 43 & NA & 43 & 43 & IL10+TGFB+\\\\\n",
       "\t881/888 & 16 & NA & 8 & 20 & NA & NA & NA & NA & 16 & NA & ⋯ & NA & NA & NA & 8 & 7 & 16 & NA & 16 & 16 & IL10+TGFB+/TregIL10+\\\\\n",
       "\t882 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 32 & NA & NA & NA & NA & NA & NA & NA & NA & IL10+RORGT+\\\\\n",
       "\t886 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 32 & NA & NA & NA & NA & NA & NA & NA & Th17IL10+\\\\\n",
       "\t889 & 5 & NA & 5 & 5 & NA & NA & NA & NA & 5 & NA & ⋯ & NA & NA & 32 & 3 & 2 & 5 & NA & 5 & 5 & TregIL10+\\\\\n",
       "\t89 & 13 & NA & 8 & 16 & NA & NA & 9 & NA & 13 & 13 & ⋯ & NA & NA & 24 & 8 & NA & 13 & NA & NA & NA & Treg\\\\\n",
       "\t918 & NA & NA & NA & NA & NA & NA & 32 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & Th17\\\\\n",
       "\t928 & NA & NA & NA & NA & NA & 32 & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & IL10+\\\\\n",
       "\t944 & 64 & 32 & 32 & 32 & 32 & NA & NA & 64 & NA & NA & ⋯ & NA & NA & NA & 32 & 32 & NA & 64 & 64 & 64 & IL10+TGFB+\\\\\n",
       "\t946 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & 32 & NA & NA & NA & NA & NA & NA & NA & NA & IL10+RORGT+\\\\\n",
       "\t950 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & 32 & NA & NA & NA & NA & NA & NA & NA & Th17IL10+\\\\\n",
       "\t952 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & 32 & NA & NA & NA & NA & NA & NA & TregIL10+\\\\\n",
       "\t953 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & TregIL10+\\\\\n",
       "\t96 & NA & NA & NA & NA & NA & NA & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & 20 & NA & NA & NA & NA & IL10+\\\\\n",
       "\t978/981 & NA & NA & NA & NA & NA & NA & 16 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & RORGT+/TGFB+\\\\\n",
       "\t982 & NA & NA & NA & NA & NA & NA & 8 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & Th17\\\\\n",
       "\t985 & NA & NA & NA & NA & NA & NA & 8 & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & Treg\\\\\n",
       "\t992 & NA & NA & NA & NA & NA & 30 & NA & NA & NA & NA & ⋯ & NA & NA & NA & NA & NA & NA & NA & NA & NA & IL10+\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "          WT.basinSize IL2_0.basinSize RORGT_0.basinSize STAT3_0.basinSize\n",
       "0                   27              11                15                 6\n",
       "1                    2              NA                 1                 2\n",
       "100                 NA              NA                NA                NA\n",
       "1001                NA              NA                NA                NA\n",
       "1008                47              32                23                 7\n",
       "1009/1016           12              NA                 4                20\n",
       "1010                NA              NA                NA                NA\n",
       "1014                NA              NA                NA                NA\n",
       "1017                 5              NA                 5                 5\n",
       "112                  3               4                 1                 3\n",
       "113/120              4              NA                 2                 4\n",
       "114                 NA              NA                NA                NA\n",
       "12                  NA              NA                NA                NA\n",
       "121                  1              NA                 1                 1\n",
       "128                 NA              NA                NA                 6\n",
       "129                  2              NA                 1                 2\n",
       "131                 NA              NA                NA                NA\n",
       "132                 54              28                27                NA\n",
       "134                 NA              NA                NA                NA\n",
       "140                 NA              NA                NA                NA\n",
       "144                 NA              NA                NA                16\n",
       "145                 NA              NA                NA                NA\n",
       "147                 NA              NA                NA                NA\n",
       "150                 NA              NA                NA                NA\n",
       "153                 NA              NA                NA                NA\n",
       "16                  13               5                 8                16\n",
       "160                 NA              NA                NA                NA\n",
       "164                 NA              NA                NA                NA\n",
       "17                  NA              NA                NA                NA\n",
       "176                  8               4                 4                 8\n",
       "178                 NA              NA                NA                NA\n",
       "184                 NA              NA                NA                NA\n",
       "185                 NA              NA                NA                NA\n",
       "19                  NA              NA                NA                NA\n",
       "192/197             36              NA                18                NA\n",
       "193                  2              NA                 1                 8\n",
       "194/199             NA              NA                NA                NA\n",
       "195                 NA              NA                NA                NA\n",
       "196                  8              28                 4                NA\n",
       "198                 NA              NA                NA                NA\n",
       "200/221             NA              NA                NA                NA\n",
       "201                 NA              NA                NA                NA\n",
       "204                 NA              NA                NA                NA\n",
       "209                 NA              NA                NA                NA\n",
       "210/213             NA              NA                NA                NA\n",
       "211                 NA              NA                NA                NA\n",
       "214                 NA              NA                NA                NA\n",
       "217                 10              NA                 5                16\n",
       "22                  NA              NA                NA                NA\n",
       "224                 NA              NA                NA                NA\n",
       "228                 NA              NA                NA                NA\n",
       "24                  NA              NA                NA                NA\n",
       "240                  3               4                 1                 3\n",
       "241/248              4              NA                 2                 4\n",
       "242                 NA              NA                NA                NA\n",
       "249                  1              NA                 1                 1\n",
       "25                  NA              NA                NA                NA\n",
       "256                 NA              NA                NA                NA\n",
       "257                 NA              NA                NA                NA\n",
       "260                 NA              NA                NA                NA\n",
       "272                 26               8                16                24\n",
       "273                 NA              NA                NA                NA\n",
       "275                 NA              NA                NA                NA\n",
       "276                 NA              NA                 4                NA\n",
       "278                 14              12                NA                NA\n",
       "280                 NA              NA                NA                NA\n",
       "281                 NA              NA                NA                NA\n",
       "284                 NA              NA                NA                NA\n",
       "3                   NA              NA                NA                NA\n",
       "304                 24              12                12                 8\n",
       "306                 NA              NA                NA                NA\n",
       "310                 NA              NA                NA                NA\n",
       "312                 NA              NA                NA                NA\n",
       "313                 NA              NA                NA                NA\n",
       "32                  NA              NA                NA                NA\n",
       "321                 NA              NA                NA                NA\n",
       "324                 NA              NA                NA                NA\n",
       "329                 NA              NA                NA                NA\n",
       "336                 NA               8                NA                NA\n",
       "337                 NA              NA                NA                NA\n",
       "338/341              6              NA                NA                NA\n",
       "338/343             NA              NA                NA                NA\n",
       "339                 NA              NA                NA                NA\n",
       "340                 NA              NA                 4                NA\n",
       "342                  8              12                NA                NA\n",
       "345                 26              NA                16                24\n",
       "348                 NA              NA                NA                NA\n",
       "36                  NA              NA                NA                NA\n",
       "368                 19              12                 9                 3\n",
       "369/376              4              NA                 2                 4\n",
       "370                 NA              NA                NA                NA\n",
       "374                 NA              NA                NA                NA\n",
       "377                  1              NA                 1                 1\n",
       "385                 NA              NA                NA                NA\n",
       "388                 NA              NA                NA                NA\n",
       "4                   14              12                 4                NA\n",
       "400                 NA              NA                NA                24\n",
       "401                 NA              NA                NA                NA\n",
       "403                 NA              NA                NA                NA\n",
       "404                 NA              NA                20                NA\n",
       "406                 40              20                NA                NA\n",
       "409                 NA              NA                NA                NA\n",
       "412                 NA              NA                NA                NA\n",
       "432                 24              12                12                 8\n",
       "434                 NA              NA                NA                NA\n",
       "438                 NA              NA                NA                NA\n",
       "440                 NA              NA                NA                NA\n",
       "441                 NA              NA                NA                NA\n",
       "448/453             NA              NA                NA                NA\n",
       "449                 NA              NA                NA                NA\n",
       "452                 NA              NA                NA                NA\n",
       "457                 NA              NA                NA                NA\n",
       "464/469             NA              NA                10                NA\n",
       "465                 NA              NA                NA                NA\n",
       "466/469             20              NA                NA                NA\n",
       "466/471             NA              NA                NA                NA\n",
       "467                 NA              NA                NA                NA\n",
       "468                 NA              NA                 4                NA\n",
       "470                  8              20                NA                NA\n",
       "472/477             NA              NA                NA                NA\n",
       "473                 12              NA                 6                24\n",
       "476                 NA              NA                NA                NA\n",
       "48                   8               4                 4                 8\n",
       "496                 19              12                 9                 3\n",
       "497/504              4              NA                 2                 4\n",
       "498                 NA              NA                NA                NA\n",
       "50                  NA              NA                NA                NA\n",
       "502                 NA              NA                NA                NA\n",
       "505                  1              NA                 1                 1\n",
       "512                 NA              NA                NA                NA\n",
       "513                 NA              NA                NA                NA\n",
       "516                 NA              NA                NA                NA\n",
       "528                 NA              NA                NA                NA\n",
       "544                 43              23                20                 8\n",
       "545                 NA              NA                NA                NA\n",
       "546                 NA              NA                NA                NA\n",
       "548                 NA              NA                NA                NA\n",
       "56                  NA              NA                NA                NA\n",
       "560                 21               9                12                24\n",
       "562                 NA              NA                NA                NA\n",
       "568                 NA              NA                NA                NA\n",
       "569                 NA              NA                NA                NA\n",
       "57                  NA              NA                NA                NA\n",
       "577                 NA              NA                NA                NA\n",
       "580                 NA              NA                NA                NA\n",
       "6                   NA              NA                NA                NA\n",
       "601                 NA              NA                NA                NA\n",
       "608                 43              23                20                 8\n",
       "609                 NA              NA                NA                NA\n",
       "610                 NA              NA                NA                NA\n",
       "612                 NA              NA                NA                NA\n",
       "617                 NA              NA                NA                NA\n",
       "624                  3               9                 1                 3\n",
       "625/632             13              NA                 6                16\n",
       "626                 NA              NA                NA                NA\n",
       "633                  5              NA                 5                 5\n",
       "64                  NA              11                NA                NA\n",
       "641                 NA              NA                NA                NA\n",
       "644                 NA              NA                NA                NA\n",
       "65                  35              NA                16                 8\n",
       "66/71               NA              NA                NA                NA\n",
       "67                  NA              NA                NA                NA\n",
       "672                 46              26                23                 8\n",
       "673                 NA              NA                NA                NA\n",
       "674                 NA              NA                NA                NA\n",
       "676                 NA              NA                NA                NA\n",
       "68                   8              12                 4                NA\n",
       "688                 18               6                 9                24\n",
       "690                 NA              NA                NA                NA\n",
       "696                 NA              NA                NA                NA\n",
       "697                 NA              NA                NA                NA\n",
       "70                  NA              NA                NA                NA\n",
       "704/709             NA              NA                NA                NA\n",
       "705                 NA              NA                NA                NA\n",
       "708                 NA              NA                NA                NA\n",
       "729                 NA              NA                NA                NA\n",
       "73                  NA              NA                NA                NA\n",
       "736                 46              26                23                 8\n",
       "737                 NA              NA                NA                NA\n",
       "738                 NA              NA                NA                NA\n",
       "740                 NA              NA                NA                NA\n",
       "745                 NA              NA                NA                NA\n",
       "752                  3               6                 1                 3\n",
       "753/760             10              NA                 3                16\n",
       "754                 NA              NA                NA                NA\n",
       "76                  NA              NA                NA                NA\n",
       "761                  5              NA                 5                 5\n",
       "784                 NA              NA                NA                NA\n",
       "790                 NA              NA                NA                NA\n",
       "80                  NA               5                NA                NA\n",
       "800                 NA              NA                NA                NA\n",
       "81                  NA              NA                NA                NA\n",
       "816                 64              32                32                32\n",
       "818                 NA              NA                NA                NA\n",
       "822                 NA              NA                NA                NA\n",
       "824                 NA              NA                NA                NA\n",
       "825                 NA              NA                NA                NA\n",
       "82/85               NA              NA                NA                NA\n",
       "83                  NA              NA                NA                NA\n",
       "850/853             NA              NA                NA                NA\n",
       "854                 NA              NA                NA                NA\n",
       "857                 NA              NA                NA                NA\n",
       "86                  NA              NA                NA                NA\n",
       "864                 NA              NA                NA                NA\n",
       "873                 NA              NA                NA                NA\n",
       "880                 43              32                19                 7\n",
       "881/888             16              NA                 8                20\n",
       "882                 NA              NA                NA                NA\n",
       "886                 NA              NA                NA                NA\n",
       "889                  5              NA                 5                 5\n",
       "89                  13              NA                 8                16\n",
       "918                 NA              NA                NA                NA\n",
       "928                 NA              NA                NA                NA\n",
       "944                 64              32                32                32\n",
       "946                 NA              NA                NA                NA\n",
       "950                 NA              NA                NA                NA\n",
       "952                 NA              NA                NA                NA\n",
       "953                 NA              NA                NA                NA\n",
       "96                  NA              NA                NA                NA\n",
       "978/981             NA              NA                NA                NA\n",
       "982                 NA              NA                NA                NA\n",
       "985                 NA              NA                NA                NA\n",
       "992                 NA              NA                NA                NA\n",
       "          FOXP3_0.basinSize TGFB_0.basinSize IL10_0.basinSize IL2e_0.basinSize\n",
       "0                        15               24                7               27\n",
       "1                         2                2                2                2\n",
       "100                      NA               NA               NA               NA\n",
       "1001                     NA                2               NA               NA\n",
       "1008                     32               NA               NA               NA\n",
       "1009/1016                NA               NA               NA               NA\n",
       "1010                     NA               NA               NA               NA\n",
       "1014                     NA               NA               NA               NA\n",
       "1017                     NA               NA               NA               NA\n",
       "112                       4               NA               NA               NA\n",
       "113/120                  NA               NA               NA               NA\n",
       "114                      NA               NA               NA               NA\n",
       "12                       NA               NA               NA               NA\n",
       "121                      NA               NA               NA               NA\n",
       "128                      NA               NA               NA               NA\n",
       "129                       2                2                2                2\n",
       "131                      NA               NA               NA               NA\n",
       "132                      24               30               30               54\n",
       "134                      NA               NA               NA               NA\n",
       "140                      NA               NA               NA               NA\n",
       "144                      NA               NA               NA               NA\n",
       "145                       2               NA               NA               NA\n",
       "147                      NA               NA               NA               NA\n",
       "150                      NA               NA               NA               NA\n",
       "153                      NA               NA               NA               NA\n",
       "16                        1               NA                9               13\n",
       "160                      NA               NA               NA               NA\n",
       "164                      NA               NA               NA               NA\n",
       "17                        2               NA               NA               NA\n",
       "176                       4               NA               NA                8\n",
       "178                      NA               NA               NA               NA\n",
       "184                      NA               NA               NA               NA\n",
       "185                      NA               NA               NA               NA\n",
       "19                       NA               NA               NA               NA\n",
       "192/197                  20               20               16               NA\n",
       "193                       2                6                2               NA\n",
       "194/199                  NA               NA               NA               NA\n",
       "195                      NA               NA               NA               NA\n",
       "196                       4                4                8               NA\n",
       "198                      NA               NA               NA               NA\n",
       "200/221                  NA               NA               NA               NA\n",
       "201                      NA                2               NA               NA\n",
       "204                      NA               NA               NA               NA\n",
       "209                       2               NA               NA               NA\n",
       "210/213                  NA               NA               NA               NA\n",
       "211                      NA               NA               NA               NA\n",
       "214                      NA               NA               NA               NA\n",
       "217                      NA               NA                6               NA\n",
       "22                       NA               NA               NA               NA\n",
       "224                      NA               NA               NA               NA\n",
       "228                      NA               NA               NA               NA\n",
       "24                       NA               NA               NA               NA\n",
       "240                       4               NA               NA               NA\n",
       "241/248                  NA               NA               NA               NA\n",
       "242                      NA               NA               NA               NA\n",
       "249                      NA               NA               NA               NA\n",
       "25                       NA               NA               NA               NA\n",
       "256                      NA               24               NA               NA\n",
       "257                      NA                2               NA               NA\n",
       "260                      NA                6               NA               NA\n",
       "272                       8               NA               18               26\n",
       "273                       4               NA               NA               NA\n",
       "275                      NA               NA               NA               NA\n",
       "276                      NA               NA               NA               NA\n",
       "278                       8               NA               14               14\n",
       "280                      NA               NA               NA               NA\n",
       "281                      NA               NA               NA               NA\n",
       "284                      NA               NA               NA               NA\n",
       "3                        NA               NA               NA               NA\n",
       "304                      12               NA               NA               24\n",
       "306                      NA               NA               NA               NA\n",
       "310                      NA               NA               NA               NA\n",
       "312                      NA               NA               NA               NA\n",
       "313                      NA               NA               NA               NA\n",
       "32                       NA               NA               NA               NA\n",
       "321                      NA               26               NA               NA\n",
       "324                      NA                4               NA               NA\n",
       "329                      NA                2               NA               NA\n",
       "336                      NA               NA               NA               NA\n",
       "337                      12               NA               NA               NA\n",
       "338/341                   4               NA                6               NA\n",
       "338/343                  NA               NA               NA               NA\n",
       "339                      NA               NA               NA               NA\n",
       "340                      NA               NA               NA               NA\n",
       "342                       4               NA                8               NA\n",
       "345                      NA               NA               18               NA\n",
       "348                      NA               NA               NA               NA\n",
       "36                       NA               NA               NA               NA\n",
       "368                      12               NA               NA               NA\n",
       "369/376                  NA               NA               NA               NA\n",
       "370                      NA               NA               NA               NA\n",
       "374                      NA               NA               NA               NA\n",
       "377                      NA               NA               NA               NA\n",
       "385                      NA                2               NA               NA\n",
       "388                      NA               30               NA               NA\n",
       "4                         8                6               14               14\n",
       "400                      NA               NA               NA               NA\n",
       "401                       4               NA               NA               NA\n",
       "403                      NA               NA               NA               NA\n",
       "404                      NA               NA               NA               NA\n",
       "406                      16               NA               32               40\n",
       "409                      NA               NA               NA               NA\n",
       "412                      NA               NA               NA               NA\n",
       "432                      12               NA               NA               24\n",
       "434                      NA               NA               NA               NA\n",
       "438                      NA               NA               NA               NA\n",
       "440                      NA               NA               NA               NA\n",
       "441                      NA               NA               NA               NA\n",
       "448/453                  NA               20               NA               NA\n",
       "449                      NA                6               NA               NA\n",
       "452                      NA                4               NA               NA\n",
       "457                      NA                2               NA               NA\n",
       "464/469                  NA               NA               NA               NA\n",
       "465                       4               NA               NA               NA\n",
       "466/469                  12               NA               16               NA\n",
       "466/471                  NA               NA               NA               NA\n",
       "467                      NA               NA               NA               NA\n",
       "468                      NA               NA               NA               NA\n",
       "470                       4               NA                8               NA\n",
       "472/477                  NA               NA               NA               NA\n",
       "473                      NA               NA                8               NA\n",
       "476                      NA               NA               NA               NA\n",
       "48                        4               NA               NA                8\n",
       "496                      12               NA               NA               NA\n",
       "497/504                  NA               NA               NA               NA\n",
       "498                      NA               NA               NA               NA\n",
       "50                       NA               NA               NA               NA\n",
       "502                      NA               NA               NA               NA\n",
       "505                      NA               NA               NA               NA\n",
       "512                      NA               NA                7               NA\n",
       "513                      NA               NA                2               NA\n",
       "516                      NA               NA               14               NA\n",
       "528                      NA               NA                9               NA\n",
       "544                      25               32               NA               43\n",
       "545                      NA               NA               NA               NA\n",
       "546                      NA               NA               NA               NA\n",
       "548                      NA               NA               NA               NA\n",
       "56                       NA               NA               NA               NA\n",
       "560                       7               NA               NA               21\n",
       "562                      NA               NA               NA               NA\n",
       "568                      NA               NA               NA               NA\n",
       "569                      NA               NA               NA               NA\n",
       "57                       NA               NA               NA               NA\n",
       "577                      NA               NA               15               NA\n",
       "580                      NA               NA                8               NA\n",
       "6                        NA               NA               NA               NA\n",
       "601                      NA               NA                9               NA\n",
       "608                      25               30               NA               NA\n",
       "609                      NA               NA               NA               NA\n",
       "610                      NA               NA               NA               NA\n",
       "612                      NA               NA               NA               NA\n",
       "617                      NA                2               NA               NA\n",
       "624                       7               NA               NA               NA\n",
       "625/632                  NA               NA               NA               NA\n",
       "626                      NA               NA               NA               NA\n",
       "633                      NA               NA               NA               NA\n",
       "64                       NA               NA               NA               NA\n",
       "641                      NA               NA                2               NA\n",
       "644                      NA               NA               30               NA\n",
       "65                       21               26               15               NA\n",
       "66/71                    NA               NA               NA               NA\n",
       "67                       NA               NA               NA               NA\n",
       "672                      26               32               NA               46\n",
       "673                      NA               NA               NA               NA\n",
       "674                      NA               NA               NA               NA\n",
       "676                      NA               NA               NA               NA\n",
       "68                        4                4                8               NA\n",
       "688                       6               NA               NA               18\n",
       "690                      NA               NA               NA               NA\n",
       "696                      NA               NA               NA               NA\n",
       "697                      NA               NA               NA               NA\n",
       "70                       NA               NA               NA               NA\n",
       "704/709                  NA               NA               16               NA\n",
       "705                      NA               NA                2               NA\n",
       "708                      NA               NA                8               NA\n",
       "729                      NA               NA                6               NA\n",
       "73                       NA                2               NA               NA\n",
       "736                      26               30               NA               NA\n",
       "737                      NA               NA               NA               NA\n",
       "738                      NA               NA               NA               NA\n",
       "740                      NA               NA               NA               NA\n",
       "745                      NA                2               NA               NA\n",
       "752                       6               NA               NA               NA\n",
       "753/760                  NA               NA               NA               NA\n",
       "754                      NA               NA               NA               NA\n",
       "76                       NA               NA               NA               NA\n",
       "761                      NA               NA               NA               NA\n",
       "784                      NA               NA               18               NA\n",
       "790                      NA               NA               14               NA\n",
       "80                       NA               NA               NA               NA\n",
       "800                      NA               32               NA               NA\n",
       "81                        3               NA               NA               NA\n",
       "816                      32               NA               NA               64\n",
       "818                      NA               NA               NA               NA\n",
       "822                      NA               NA               NA               NA\n",
       "824                      NA               NA               NA               NA\n",
       "825                      NA               NA               NA               NA\n",
       "82/85                    NA               NA               NA               NA\n",
       "83                       NA               NA               NA               NA\n",
       "850/853                  NA               NA                6               NA\n",
       "854                      NA               NA                8               NA\n",
       "857                      NA               NA               18               NA\n",
       "86                       NA               NA               NA               NA\n",
       "864                      NA               30               NA               NA\n",
       "873                      NA                2               NA               NA\n",
       "880                      32               NA               NA               NA\n",
       "881/888                  NA               NA               NA               NA\n",
       "882                      NA               NA               NA               NA\n",
       "886                      NA               NA               NA               NA\n",
       "889                      NA               NA               NA               NA\n",
       "89                       NA               NA                9               NA\n",
       "918                      NA               NA               32               NA\n",
       "928                      NA               32               NA               NA\n",
       "944                      32               NA               NA               64\n",
       "946                      NA               NA               NA               NA\n",
       "950                      NA               NA               NA               NA\n",
       "952                      NA               NA               NA               NA\n",
       "953                      NA               NA               NA               NA\n",
       "96                       NA               NA               NA               NA\n",
       "978/981                  NA               NA               16               NA\n",
       "982                      NA               NA                8               NA\n",
       "985                      NA               NA                8               NA\n",
       "992                      NA               30               NA               NA\n",
       "          IL21e_0.basinSize TGFBe_0.basinSize IL10e_0.basinSize IL2_1.basinSize\n",
       "0                        27                27                27              NA\n",
       "1                         2                 2                 2              20\n",
       "100                      NA                NA                NA              NA\n",
       "1001                     NA                NA                NA              NA\n",
       "1008                     NA                NA                NA              NA\n",
       "1009/1016                NA                NA                NA              NA\n",
       "1010                     NA                NA                NA              NA\n",
       "1014                     NA                NA                NA              NA\n",
       "1017                     NA                NA                NA              32\n",
       "112                       3                 3                 3              NA\n",
       "113/120                   4                 4                 4              NA\n",
       "114                      NA                NA                NA              NA\n",
       "12                       NA                NA                NA              NA\n",
       "121                       1                 1                 1               4\n",
       "128                      NA                NA                NA              NA\n",
       "129                      NA                 2                 2              20\n",
       "131                      NA                NA                NA              NA\n",
       "132                      NA                54                54              NA\n",
       "134                      NA                NA                NA              NA\n",
       "140                      NA                NA                NA              NA\n",
       "144                      NA                NA                NA              NA\n",
       "145                      NA                NA                NA              NA\n",
       "147                      NA                NA                NA              NA\n",
       "150                      NA                NA                NA              NA\n",
       "153                      NA                NA                NA               8\n",
       "16                       13                13                13              NA\n",
       "160                      NA                NA                NA              NA\n",
       "164                      NA                NA                NA              NA\n",
       "17                       NA                NA                NA              NA\n",
       "176                      NA                 8                 8              NA\n",
       "178                      NA                NA                NA              NA\n",
       "184                      NA                NA                NA              NA\n",
       "185                      NA                NA                NA               4\n",
       "19                       NA                NA                NA              NA\n",
       "192/197                  NA                36                36              NA\n",
       "193                      NA                 2                 2              20\n",
       "194/199                  NA                NA                NA              NA\n",
       "195                      NA                NA                NA              NA\n",
       "196                      NA                 8                 8              NA\n",
       "198                      NA                NA                NA              NA\n",
       "200/221                  NA                NA                NA              NA\n",
       "201                      NA                NA                NA              NA\n",
       "204                      NA                NA                NA              NA\n",
       "209                      NA                NA                NA              NA\n",
       "210/213                  NA                NA                NA              NA\n",
       "211                      NA                NA                NA              NA\n",
       "214                      NA                NA                NA              NA\n",
       "217                      NA                10                10               8\n",
       "22                       NA                NA                NA              NA\n",
       "224                      NA                NA                NA              NA\n",
       "228                      NA                NA                NA              NA\n",
       "24                       NA                NA                NA              NA\n",
       "240                      NA                 3                 3              NA\n",
       "241/248                  NA                 4                 4              NA\n",
       "242                      NA                NA                NA              NA\n",
       "249                      NA                 1                 1               4\n",
       "25                       NA                NA                NA               8\n",
       "256                      NA                NA                NA              NA\n",
       "257                      NA                NA                NA              NA\n",
       "260                      NA                NA                NA              NA\n",
       "272                      26                NA                26              NA\n",
       "273                      NA                NA                NA              NA\n",
       "275                      NA                NA                NA              NA\n",
       "276                      NA                NA                NA              NA\n",
       "278                      14                NA                14              NA\n",
       "280                      NA                NA                NA              NA\n",
       "281                      NA                NA                NA              20\n",
       "284                      NA                NA                NA              NA\n",
       "3                        NA                NA                NA              NA\n",
       "304                      24                NA                24              NA\n",
       "306                      NA                NA                NA              NA\n",
       "310                      NA                NA                NA              NA\n",
       "312                      NA                NA                NA              NA\n",
       "313                      NA                NA                NA              12\n",
       "32                       NA                NA                NA              NA\n",
       "321                      NA                NA                NA              NA\n",
       "324                      NA                NA                NA              NA\n",
       "329                      NA                NA                NA              NA\n",
       "336                      NA                NA                NA              NA\n",
       "337                      NA                NA                NA              NA\n",
       "338/341                   6                NA                 6              NA\n",
       "338/343                  NA                NA                NA              NA\n",
       "339                      NA                NA                NA              NA\n",
       "340                      NA                NA                NA              NA\n",
       "342                       8                NA                 8              NA\n",
       "345                      26                NA                26              20\n",
       "348                      NA                NA                NA              NA\n",
       "36                       NA                NA                NA              NA\n",
       "368                      19                NA                19              NA\n",
       "369/376                   4                NA                 4              NA\n",
       "370                      NA                NA                NA              NA\n",
       "374                      NA                NA                NA              NA\n",
       "377                       1                NA                 1              12\n",
       "385                      NA                NA                NA              NA\n",
       "388                      NA                NA                NA              NA\n",
       "4                        14                14                14              NA\n",
       "400                      NA                NA                NA              NA\n",
       "401                      NA                NA                NA              NA\n",
       "403                      NA                NA                NA              NA\n",
       "404                      NA                NA                NA              NA\n",
       "406                      NA                NA                40              NA\n",
       "409                      NA                NA                NA              20\n",
       "412                      NA                NA                NA              NA\n",
       "432                      NA                NA                24              NA\n",
       "434                      NA                NA                NA              NA\n",
       "438                      NA                NA                NA              NA\n",
       "440                      NA                NA                NA              NA\n",
       "441                      NA                NA                NA              12\n",
       "448/453                  NA                NA                NA              NA\n",
       "449                      NA                NA                NA              NA\n",
       "452                      NA                NA                NA              NA\n",
       "457                      NA                NA                NA              NA\n",
       "464/469                  NA                NA                NA              NA\n",
       "465                      NA                NA                NA              NA\n",
       "466/469                  NA                NA                20              NA\n",
       "466/471                  NA                NA                NA              NA\n",
       "467                      NA                NA                NA              NA\n",
       "468                      NA                NA                NA              NA\n",
       "470                      NA                NA                 8              NA\n",
       "472/477                  NA                NA                NA              NA\n",
       "473                      NA                NA                12              20\n",
       "476                      NA                NA                NA              NA\n",
       "48                        8                 8                 8              NA\n",
       "496                      NA                NA                19              NA\n",
       "497/504                  NA                NA                 4              NA\n",
       "498                      NA                NA                NA              NA\n",
       "50                       NA                NA                NA              NA\n",
       "502                      NA                NA                NA              NA\n",
       "505                      NA                NA                 1              12\n",
       "512                      NA                NA                NA              NA\n",
       "513                      NA                NA                NA              NA\n",
       "516                      NA                NA                NA              NA\n",
       "528                      NA                NA                NA              NA\n",
       "544                      43                43                NA              NA\n",
       "545                      NA                NA                NA              20\n",
       "546                      NA                NA                NA              NA\n",
       "548                      NA                NA                NA              NA\n",
       "56                       NA                NA                NA              NA\n",
       "560                      21                21                NA              NA\n",
       "562                      NA                NA                NA              NA\n",
       "568                      NA                NA                NA              NA\n",
       "569                      NA                NA                NA              12\n",
       "57                       NA                NA                NA               4\n",
       "577                      NA                NA                NA              NA\n",
       "580                      NA                NA                NA              NA\n",
       "6                        NA                NA                NA              NA\n",
       "601                      NA                NA                NA              NA\n",
       "608                      43                43                NA              NA\n",
       "609                      NA                NA                NA              20\n",
       "610                      NA                NA                NA              NA\n",
       "612                      NA                NA                NA              NA\n",
       "617                      NA                NA                NA              NA\n",
       "624                       3                 3                NA              NA\n",
       "625/632                  13                13                NA              NA\n",
       "626                      NA                NA                NA              NA\n",
       "633                       5                 5                NA              12\n",
       "64                       NA                NA                NA              NA\n",
       "641                      NA                NA                NA              NA\n",
       "644                      NA                NA                NA              NA\n",
       "65                       35                35                35              20\n",
       "66/71                    NA                NA                NA              NA\n",
       "67                       NA                NA                NA              NA\n",
       "672                      NA                46                NA              NA\n",
       "673                      NA                NA                NA              20\n",
       "674                      NA                NA                NA              NA\n",
       "676                      NA                NA                NA              NA\n",
       "68                        8                 8                 8              NA\n",
       "688                      NA                18                NA              NA\n",
       "690                      NA                NA                NA              NA\n",
       "696                      NA                NA                NA              NA\n",
       "697                      NA                NA                NA              12\n",
       "70                       NA                NA                NA              NA\n",
       "704/709                  NA                NA                NA              NA\n",
       "705                      NA                NA                NA              NA\n",
       "708                      NA                NA                NA              NA\n",
       "729                      NA                NA                NA              NA\n",
       "73                       NA                NA                NA              NA\n",
       "736                      NA                46                NA              NA\n",
       "737                      NA                NA                NA              20\n",
       "738                      NA                NA                NA              NA\n",
       "740                      NA                NA                NA              NA\n",
       "745                      NA                NA                NA              NA\n",
       "752                      NA                 3                NA              NA\n",
       "753/760                  NA                10                NA              NA\n",
       "754                      NA                NA                NA              NA\n",
       "76                       NA                NA                NA              NA\n",
       "761                      NA                 5                NA              12\n",
       "784                      NA                NA                NA              NA\n",
       "790                      NA                NA                NA              NA\n",
       "80                       NA                NA                NA              NA\n",
       "800                      NA                NA                NA              NA\n",
       "81                       NA                NA                NA              NA\n",
       "816                      64                NA                NA              NA\n",
       "818                      NA                NA                NA              NA\n",
       "822                      NA                NA                NA              NA\n",
       "824                      NA                NA                NA              NA\n",
       "825                      NA                NA                NA              32\n",
       "82/85                    NA                NA                NA              NA\n",
       "83                       NA                NA                NA              NA\n",
       "850/853                  NA                NA                NA              NA\n",
       "854                      NA                NA                NA              NA\n",
       "857                      NA                NA                NA              NA\n",
       "86                       NA                NA                NA              NA\n",
       "864                      NA                NA                NA              NA\n",
       "873                      NA                NA                NA              NA\n",
       "880                      43                NA                NA              NA\n",
       "881/888                  16                NA                NA              NA\n",
       "882                      NA                NA                NA              NA\n",
       "886                      NA                NA                NA              NA\n",
       "889                       5                NA                NA              32\n",
       "89                       13                13                13               8\n",
       "918                      NA                NA                NA              NA\n",
       "928                      NA                NA                NA              NA\n",
       "944                      NA                NA                NA              NA\n",
       "946                      NA                NA                NA              NA\n",
       "950                      NA                NA                NA              NA\n",
       "952                      NA                NA                NA              NA\n",
       "953                      NA                NA                NA              32\n",
       "96                       NA                NA                NA              NA\n",
       "978/981                  NA                NA                NA              NA\n",
       "982                      NA                NA                NA              NA\n",
       "985                      NA                NA                NA              NA\n",
       "992                      NA                NA                NA              NA\n",
       "          RORGT_1.basinSize STAT3_1.basinSize FOXP3_1.basinSize\n",
       "0                        NA                NA                NA\n",
       "1                        NA                NA                NA\n",
       "100                      NA                16                NA\n",
       "1001                     NA                NA                NA\n",
       "1008                     NA                NA                NA\n",
       "1009/1016                NA                NA                NA\n",
       "1010                     32                NA                NA\n",
       "1014                     NA                32                NA\n",
       "1017                     NA                NA                32\n",
       "112                      NA                NA                NA\n",
       "113/120                  NA                NA                NA\n",
       "114                       4                NA                NA\n",
       "12                       NA                NA                 6\n",
       "121                      NA                NA                 4\n",
       "128                      NA                NA                NA\n",
       "129                      NA                NA                NA\n",
       "131                       1                NA                NA\n",
       "132                      NA                16                NA\n",
       "134                      26                NA                NA\n",
       "140                      NA                NA                28\n",
       "144                      NA                NA                NA\n",
       "145                      NA                NA                NA\n",
       "147                       1                NA                NA\n",
       "150                      NA                NA                NA\n",
       "153                      NA                NA                NA\n",
       "16                       NA                NA                NA\n",
       "160                      NA                NA                NA\n",
       "164                      NA                16                NA\n",
       "17                       NA                NA                NA\n",
       "176                      NA                NA                NA\n",
       "178                       4                NA                NA\n",
       "184                      NA                NA                 4\n",
       "185                      NA                NA                NA\n",
       "19                        1                NA                NA\n",
       "192/197                  NA                NA                NA\n",
       "193                      NA                NA                NA\n",
       "194/199                  18                NA                NA\n",
       "195                       1                NA                NA\n",
       "196                      NA                16                NA\n",
       "198                       4                NA                NA\n",
       "200/221                  NA                NA                 8\n",
       "201                      NA                NA                NA\n",
       "204                      NA                NA                 4\n",
       "209                      NA                NA                NA\n",
       "210/213                  NA                NA                NA\n",
       "211                       5                NA                NA\n",
       "214                      NA                NA                NA\n",
       "217                      NA                NA                16\n",
       "22                       NA                NA                NA\n",
       "224                      NA                NA                NA\n",
       "228                      NA                16                NA\n",
       "24                       NA                NA                22\n",
       "240                      NA                NA                NA\n",
       "241/248                  NA                NA                NA\n",
       "242                       4                NA                NA\n",
       "249                      NA                NA                 4\n",
       "25                       NA                NA                NA\n",
       "256                      NA                NA                NA\n",
       "257                      NA                NA                NA\n",
       "260                      NA                NA                NA\n",
       "272                      NA                NA                NA\n",
       "273                      NA                NA                NA\n",
       "275                       2                NA                NA\n",
       "276                      NA                NA                NA\n",
       "278                      18                16                NA\n",
       "280                      NA                NA                14\n",
       "281                      NA                NA                NA\n",
       "284                      NA                NA                 6\n",
       "3                         1                NA                NA\n",
       "304                      NA                NA                NA\n",
       "306                      12                NA                NA\n",
       "310                      NA                16                NA\n",
       "312                      NA                NA                12\n",
       "313                      NA                NA                NA\n",
       "32                       NA                NA                NA\n",
       "321                      NA                NA                NA\n",
       "324                      NA                NA                NA\n",
       "329                      NA                NA                NA\n",
       "336                      NA                NA                NA\n",
       "337                      NA                NA                NA\n",
       "338/341                  NA                NA                NA\n",
       "338/343                  10                NA                NA\n",
       "339                       6                NA                NA\n",
       "340                      NA                NA                NA\n",
       "342                       4                16                NA\n",
       "345                      NA                NA                16\n",
       "348                      NA                NA                 4\n",
       "36                       NA                16                NA\n",
       "368                      NA                NA                NA\n",
       "369/376                  NA                NA                NA\n",
       "370                      12                NA                NA\n",
       "374                      NA                16                NA\n",
       "377                      NA                NA                12\n",
       "385                      NA                NA                NA\n",
       "388                      NA                NA                NA\n",
       "4                        NA                16                NA\n",
       "400                      NA                NA                NA\n",
       "401                      NA                NA                NA\n",
       "403                       2                NA                NA\n",
       "404                      NA                NA                NA\n",
       "406                      18                16                NA\n",
       "409                      NA                NA                NA\n",
       "412                      NA                NA                20\n",
       "432                      NA                NA                NA\n",
       "434                      12                NA                NA\n",
       "438                      NA                16                NA\n",
       "440                      NA                NA                12\n",
       "441                      NA                NA                NA\n",
       "448/453                  NA                NA                NA\n",
       "449                      NA                NA                NA\n",
       "452                      NA                NA                NA\n",
       "457                      NA                NA                NA\n",
       "464/469                  NA                NA                NA\n",
       "465                      NA                NA                NA\n",
       "466/469                  NA                NA                NA\n",
       "466/471                  10                NA                NA\n",
       "467                       6                NA                NA\n",
       "468                      NA                NA                NA\n",
       "470                       4                16                NA\n",
       "472/477                  NA                NA                 8\n",
       "473                      NA                NA                 8\n",
       "476                      NA                NA                 4\n",
       "48                       NA                NA                NA\n",
       "496                      NA                NA                NA\n",
       "497/504                  NA                NA                NA\n",
       "498                      12                NA                NA\n",
       "50                        4                NA                NA\n",
       "502                      NA                16                NA\n",
       "505                      NA                NA                12\n",
       "512                      NA                NA                NA\n",
       "513                      NA                NA                NA\n",
       "516                      NA                NA                NA\n",
       "528                      NA                NA                NA\n",
       "544                      NA                NA                NA\n",
       "545                      NA                NA                NA\n",
       "546                      23                NA                NA\n",
       "548                      NA                32                NA\n",
       "56                       NA                NA                 4\n",
       "560                      NA                NA                NA\n",
       "562                       9                NA                NA\n",
       "568                      NA                NA                32\n",
       "569                      NA                NA                NA\n",
       "57                       NA                NA                NA\n",
       "577                      NA                NA                NA\n",
       "580                      NA                NA                NA\n",
       "6                        26                NA                NA\n",
       "601                      NA                NA                NA\n",
       "608                      NA                NA                NA\n",
       "609                      NA                NA                NA\n",
       "610                      23                NA                NA\n",
       "612                      NA                32                NA\n",
       "617                      NA                NA                NA\n",
       "624                      NA                NA                NA\n",
       "625/632                  NA                NA                NA\n",
       "626                       9                NA                NA\n",
       "633                      NA                NA                32\n",
       "64                       NA                NA                NA\n",
       "641                      NA                NA                NA\n",
       "644                      NA                NA                NA\n",
       "65                       NA                NA                NA\n",
       "66/71                    18                NA                NA\n",
       "67                        1                NA                NA\n",
       "672                      NA                NA                NA\n",
       "673                      NA                NA                NA\n",
       "674                      23                NA                NA\n",
       "676                      NA                32                NA\n",
       "68                       NA                16                NA\n",
       "688                      NA                NA                NA\n",
       "690                       9                NA                NA\n",
       "696                      NA                NA                32\n",
       "697                      NA                NA                NA\n",
       "70                        4                NA                NA\n",
       "704/709                  NA                NA                NA\n",
       "705                      NA                NA                NA\n",
       "708                      NA                NA                NA\n",
       "729                      NA                NA                NA\n",
       "73                       NA                NA                NA\n",
       "736                      NA                NA                NA\n",
       "737                      NA                NA                NA\n",
       "738                      23                NA                NA\n",
       "740                      NA                32                NA\n",
       "745                      NA                NA                NA\n",
       "752                      NA                NA                NA\n",
       "753/760                  NA                NA                NA\n",
       "754                       9                NA                NA\n",
       "76                       NA                NA                 4\n",
       "761                      NA                NA                32\n",
       "784                      NA                NA                NA\n",
       "790                      NA                NA                NA\n",
       "80                       NA                NA                NA\n",
       "800                      NA                NA                NA\n",
       "81                       NA                NA                NA\n",
       "816                      NA                NA                NA\n",
       "818                      32                NA                NA\n",
       "822                      NA                32                NA\n",
       "824                      NA                NA                32\n",
       "825                      NA                NA                NA\n",
       "82/85                    NA                NA                NA\n",
       "83                        5                NA                NA\n",
       "850/853                  NA                NA                NA\n",
       "854                      NA                NA                NA\n",
       "857                      NA                NA                NA\n",
       "86                       NA                NA                NA\n",
       "864                      NA                NA                NA\n",
       "873                      NA                NA                NA\n",
       "880                      NA                NA                NA\n",
       "881/888                  NA                NA                NA\n",
       "882                      32                NA                NA\n",
       "886                      NA                32                NA\n",
       "889                      NA                NA                32\n",
       "89                       NA                NA                24\n",
       "918                      NA                NA                NA\n",
       "928                      NA                NA                NA\n",
       "944                      NA                NA                NA\n",
       "946                      32                NA                NA\n",
       "950                      NA                32                NA\n",
       "952                      NA                NA                32\n",
       "953                      NA                NA                NA\n",
       "96                       NA                NA                NA\n",
       "978/981                  NA                NA                NA\n",
       "982                      NA                NA                NA\n",
       "985                      NA                NA                NA\n",
       "992                      NA                NA                NA\n",
       "          TGFB_1.basinSize IL10_1.basinSize IL2e_1.basinSize IL21e_1.basinSize\n",
       "0                       NA               NA               NA                NA\n",
       "1                       NA               NA               NA                NA\n",
       "100                     NA               NA               NA                NA\n",
       "1001                    NA               NA               NA                NA\n",
       "1008                    23               23               47                47\n",
       "1009/1016                6                7               12                12\n",
       "1010                    NA               NA               NA                NA\n",
       "1014                    NA               NA               NA                NA\n",
       "1017                     3                2                5                 5\n",
       "112                     11                3                3                NA\n",
       "113/120                  4                7                4                NA\n",
       "114                     NA               NA               NA                NA\n",
       "12                      NA               NA               NA                NA\n",
       "121                      1                2                1                NA\n",
       "128                     NA               NA               NA                NA\n",
       "129                     NA               NA               NA                 2\n",
       "131                     NA               NA               NA                NA\n",
       "132                     NA               NA               NA                54\n",
       "134                     NA               NA               NA                NA\n",
       "140                     NA               NA               NA                NA\n",
       "144                     NA               NA               NA                NA\n",
       "145                     NA               NA               NA                NA\n",
       "147                     NA               NA               NA                NA\n",
       "150                     16               NA               NA                NA\n",
       "153                     NA               NA               NA                NA\n",
       "16                       8               NA               NA                NA\n",
       "160                     NA               20               NA                NA\n",
       "164                     NA               NA               NA                NA\n",
       "17                      NA               NA               NA                NA\n",
       "176                     16               12               NA                 8\n",
       "178                     NA               NA               NA                NA\n",
       "184                     NA               NA               NA                NA\n",
       "185                     NA               NA               NA                NA\n",
       "19                      NA               NA               NA                NA\n",
       "192/197                 NA               NA               36                36\n",
       "193                     NA               NA                2                 2\n",
       "194/199                 NA               NA               NA                NA\n",
       "195                     NA               NA               NA                NA\n",
       "196                     NA               NA                8                 8\n",
       "198                     NA               NA               NA                NA\n",
       "200/221                 NA               NA               NA                NA\n",
       "201                     NA               NA               NA                NA\n",
       "204                     NA               NA               NA                NA\n",
       "209                     NA               NA               NA                NA\n",
       "210/213                  8               NA               NA                NA\n",
       "211                     NA               NA               NA                NA\n",
       "214                      4               NA               NA                NA\n",
       "217                      4               NA               10                10\n",
       "22                       8               NA               NA                NA\n",
       "224                     NA               20               NA                NA\n",
       "228                     NA               NA               NA                NA\n",
       "24                      NA               NA               NA                NA\n",
       "240                     11                3                3                 3\n",
       "241/248                  4                7                4                 4\n",
       "242                     NA               NA               NA                NA\n",
       "249                      1                2                1                 1\n",
       "25                      NA               NA               NA                NA\n",
       "256                     NA               NA               NA                NA\n",
       "257                     NA               NA               NA                NA\n",
       "260                     NA               NA               NA                NA\n",
       "272                      8               NA               NA                NA\n",
       "273                     NA               NA               NA                NA\n",
       "275                     NA               NA               NA                NA\n",
       "276                     NA               NA               NA                NA\n",
       "278                      8               NA               NA                NA\n",
       "280                     NA               NA               NA                NA\n",
       "281                     NA               NA               NA                NA\n",
       "284                     NA               NA               NA                NA\n",
       "3                       NA               NA               NA                NA\n",
       "304                     16               32               NA                NA\n",
       "306                     NA               NA               NA                NA\n",
       "310                     NA               NA               NA                NA\n",
       "312                     NA               NA               NA                NA\n",
       "313                     NA               NA               NA                NA\n",
       "32                      NA               20               NA                NA\n",
       "321                     NA               NA               NA                NA\n",
       "324                     NA               NA               NA                NA\n",
       "329                     NA               NA               NA                NA\n",
       "336                     NA               NA               NA                NA\n",
       "337                     NA               NA               NA                NA\n",
       "338/341                  4               NA                6                NA\n",
       "338/343                 NA               NA               NA                NA\n",
       "339                     NA               NA               NA                NA\n",
       "340                     NA               NA               NA                NA\n",
       "342                      4               NA                8                NA\n",
       "345                      8               NA               26                NA\n",
       "348                     NA               NA               NA                NA\n",
       "36                      NA               NA               NA                NA\n",
       "368                     11               23               19                NA\n",
       "369/376                  4                7                4                NA\n",
       "370                     NA               NA               NA                NA\n",
       "374                     NA               NA               NA                NA\n",
       "377                      1                2                1                NA\n",
       "385                     NA               NA               NA                NA\n",
       "388                     NA               NA               NA                NA\n",
       "4                       NA               NA               NA                NA\n",
       "400                     NA               NA               NA                NA\n",
       "401                     NA               NA               NA                NA\n",
       "403                     NA               NA               NA                NA\n",
       "404                     NA               NA               NA                NA\n",
       "406                     16               NA               NA                40\n",
       "409                     NA               NA               NA                NA\n",
       "412                     NA               NA               NA                NA\n",
       "432                     16               32               NA                24\n",
       "434                     NA               NA               NA                NA\n",
       "438                     NA               NA               NA                NA\n",
       "440                     NA               NA               NA                NA\n",
       "441                     NA               NA               NA                NA\n",
       "448/453                 NA               NA               NA                NA\n",
       "449                     NA               NA               NA                NA\n",
       "452                     NA               NA               NA                NA\n",
       "457                     NA               NA               NA                NA\n",
       "464/469                 NA               NA               NA                NA\n",
       "465                     NA               NA               NA                NA\n",
       "466/469                  8               NA               20                20\n",
       "466/471                 NA               NA               NA                NA\n",
       "467                     NA               NA               NA                NA\n",
       "468                     NA               NA               NA                NA\n",
       "470                      4               NA                8                 8\n",
       "472/477                 NA               NA               NA                NA\n",
       "473                      4               NA               12                12\n",
       "476                     NA               NA               NA                NA\n",
       "48                      16               12               NA                NA\n",
       "496                     11               23               19                19\n",
       "497/504                  4                7                4                 4\n",
       "498                     NA               NA               NA                NA\n",
       "50                      NA               NA               NA                NA\n",
       "502                     NA               NA               NA                NA\n",
       "505                      1                2                1                 1\n",
       "512                     NA               NA               NA                NA\n",
       "513                     NA               NA               NA                NA\n",
       "516                     NA               NA               NA                NA\n",
       "528                     NA               NA               NA                NA\n",
       "544                     NA               20               NA                NA\n",
       "545                     NA               NA               NA                NA\n",
       "546                     NA               NA               NA                NA\n",
       "548                     NA               NA               NA                NA\n",
       "56                      NA               NA               NA                NA\n",
       "560                     32               12               NA                NA\n",
       "562                     NA               NA               NA                NA\n",
       "568                     NA               NA               NA                NA\n",
       "569                     NA               NA               NA                NA\n",
       "57                      NA               NA               NA                NA\n",
       "577                     NA               NA               NA                NA\n",
       "580                     NA               NA               NA                NA\n",
       "6                       NA               NA               NA                NA\n",
       "601                     NA               NA               NA                NA\n",
       "608                     NA               20               43                NA\n",
       "609                     NA               NA               NA                NA\n",
       "610                     NA               NA               NA                NA\n",
       "612                     NA               NA               NA                NA\n",
       "617                     NA               NA               NA                NA\n",
       "624                     21                3                3                NA\n",
       "625/632                  8                7               13                NA\n",
       "626                     NA               NA               NA                NA\n",
       "633                      3                2                5                NA\n",
       "64                      NA               NA               NA                NA\n",
       "641                     NA               NA               NA                NA\n",
       "644                     NA               NA               NA                NA\n",
       "65                      NA               NA               35                NA\n",
       "66/71                   NA               NA               NA                NA\n",
       "67                      NA               NA               NA                NA\n",
       "672                     NA               20               NA                46\n",
       "673                     NA               NA               NA                NA\n",
       "674                     NA               NA               NA                NA\n",
       "676                     NA               NA               NA                NA\n",
       "68                      NA               NA                8                NA\n",
       "688                     32               12               NA                18\n",
       "690                     NA               NA               NA                NA\n",
       "696                     NA               NA               NA                NA\n",
       "697                     NA               NA               NA                NA\n",
       "70                      NA               NA               NA                NA\n",
       "704/709                 NA               NA               NA                NA\n",
       "705                     NA               NA               NA                NA\n",
       "708                     NA               NA               NA                NA\n",
       "729                     NA               NA               NA                NA\n",
       "73                      NA               NA               NA                NA\n",
       "736                     NA               20               46                46\n",
       "737                     NA               NA               NA                NA\n",
       "738                     NA               NA               NA                NA\n",
       "740                     NA               NA               NA                NA\n",
       "745                     NA               NA               NA                NA\n",
       "752                     23                3                3                 3\n",
       "753/760                  6                7               10                10\n",
       "754                     NA               NA               NA                NA\n",
       "76                      NA               NA               NA                NA\n",
       "761                      3                2                5                 5\n",
       "784                     NA               NA               NA                NA\n",
       "790                     NA               NA               NA                NA\n",
       "80                      NA               NA               NA                NA\n",
       "800                     NA               NA               NA                NA\n",
       "81                      NA               NA               NA                NA\n",
       "816                     32               32               NA                NA\n",
       "818                     NA               NA               NA                NA\n",
       "822                     NA               NA               NA                NA\n",
       "824                     NA               NA               NA                NA\n",
       "825                     NA               NA               NA                NA\n",
       "82/85                    4               NA               NA                NA\n",
       "83                      NA               NA               NA                NA\n",
       "850/853                 NA               NA               NA                NA\n",
       "854                     NA               NA               NA                NA\n",
       "857                     NA               NA               NA                NA\n",
       "86                       4               NA               NA                NA\n",
       "864                     NA               NA               NA                NA\n",
       "873                     NA               NA               NA                NA\n",
       "880                     21               23               43                NA\n",
       "881/888                  8                7               16                NA\n",
       "882                     NA               NA               NA                NA\n",
       "886                     NA               NA               NA                NA\n",
       "889                      3                2                5                NA\n",
       "89                       8               NA               13                NA\n",
       "918                     NA               NA               NA                NA\n",
       "928                     NA               NA               NA                NA\n",
       "944                     32               32               NA                64\n",
       "946                     NA               NA               NA                NA\n",
       "950                     NA               NA               NA                NA\n",
       "952                     NA               NA               NA                NA\n",
       "953                     NA               NA               NA                NA\n",
       "96                      NA               20               NA                NA\n",
       "978/981                 NA               NA               NA                NA\n",
       "982                     NA               NA               NA                NA\n",
       "985                     NA               NA               NA                NA\n",
       "992                     NA               NA               NA                NA\n",
       "          TGFBe_1.basinSize IL10e_1.basinSize                label\n",
       "0                        NA                NA                  Th0\n",
       "1                        NA                NA                  Th0\n",
       "100                      NA                NA                IL10+\n",
       "1001                     NA                NA                IL10+\n",
       "1008                     47                47           IL10+TGFB+\n",
       "1009/1016                12                12 IL10+TGFB+/TregIL10+\n",
       "1010                     NA                NA          IL10+RORGT+\n",
       "1014                     NA                NA            Th17IL10+\n",
       "1017                      5                 5            TregIL10+\n",
       "112                      NA                NA           IL10+TGFB+\n",
       "113/120                  NA                NA IL10+TGFB+/TregIL10+\n",
       "114                      NA                NA          IL10+RORGT+\n",
       "12                       NA                NA              NoLabel\n",
       "121                      NA                NA            TregIL10+\n",
       "128                      NA                NA                  Th0\n",
       "129                      NA                NA                  Th0\n",
       "131                      NA                NA               RORGT+\n",
       "132                      NA                NA                  Th0\n",
       "134                      NA                NA                 Th17\n",
       "140                      NA                NA              NoLabel\n",
       "144                      NA                NA                TGFB+\n",
       "145                      NA                NA                TGFB+\n",
       "147                      NA                NA               RORGT+\n",
       "150                      NA                NA                 Th17\n",
       "153                      NA                NA                 Treg\n",
       "16                       NA                NA                TGFB+\n",
       "160                      NA                NA                IL10+\n",
       "164                      NA                NA                IL10+\n",
       "17                       NA                NA                TGFB+\n",
       "176                      NA                NA           IL10+TGFB+\n",
       "178                      NA                NA          IL10+RORGT+\n",
       "184                      NA                NA            TregIL10+\n",
       "185                      NA                NA            TregIL10+\n",
       "19                       NA                NA               RORGT+\n",
       "192/197                  NA                NA              Th0/Th0\n",
       "193                      NA                NA                  Th0\n",
       "194/199                  NA                NA          RORGT+/Th17\n",
       "195                      NA                NA               RORGT+\n",
       "196                      NA                NA                  Th0\n",
       "198                      NA                NA                 Th17\n",
       "200/221                  NA                NA         NoLabel/Treg\n",
       "201                      NA                NA              NoLabel\n",
       "204                      NA                NA              NoLabel\n",
       "209                      NA                NA                TGFB+\n",
       "210/213                  NA                NA         RORGT+/TGFB+\n",
       "211                      NA                NA               RORGT+\n",
       "214                      NA                NA                 Th17\n",
       "217                      NA                NA                 Treg\n",
       "22                       NA                NA                 Th17\n",
       "224                      NA                NA                IL10+\n",
       "228                      NA                NA                IL10+\n",
       "24                       NA                NA                 Treg\n",
       "240                      NA                NA           IL10+TGFB+\n",
       "241/248                  NA                NA IL10+TGFB+/TregIL10+\n",
       "242                      NA                NA          IL10+RORGT+\n",
       "249                      NA                NA            TregIL10+\n",
       "25                       NA                NA                 Treg\n",
       "256                      NA                NA                  Th0\n",
       "257                      NA                NA                  Th0\n",
       "260                      NA                NA                  Th0\n",
       "272                      26                NA                TGFB+\n",
       "273                      NA                NA                TGFB+\n",
       "275                      NA                NA               RORGT+\n",
       "276                      NA                NA                TGFB+\n",
       "278                      14                NA                 Th17\n",
       "280                      NA                NA                 Treg\n",
       "281                      NA                NA                 Treg\n",
       "284                      NA                NA                 Treg\n",
       "3                        NA                NA               RORGT+\n",
       "304                      24                NA           IL10+TGFB+\n",
       "306                      NA                NA          IL10+RORGT+\n",
       "310                      NA                NA            Th17IL10+\n",
       "312                      NA                NA            TregIL10+\n",
       "313                      NA                NA            TregIL10+\n",
       "32                       NA                NA                IL10+\n",
       "321                      NA                NA                  Th0\n",
       "324                      NA                NA                  Th0\n",
       "329                      NA                NA              NoLabel\n",
       "336                      NA                NA                TGFB+\n",
       "337                      NA                NA                TGFB+\n",
       "338/341                   6                NA         RORGT+/TGFB+\n",
       "338/343                  NA                NA          RORGT+/Th17\n",
       "339                      NA                NA               RORGT+\n",
       "340                      NA                NA                TGFB+\n",
       "342                       8                NA                 Th17\n",
       "345                      26                NA                 Treg\n",
       "348                      NA                NA                 Treg\n",
       "36                       NA                NA                IL10+\n",
       "368                      19                NA           IL10+TGFB+\n",
       "369/376                   4                NA IL10+TGFB+/TregIL10+\n",
       "370                      NA                NA          IL10+RORGT+\n",
       "374                      NA                NA            Th17IL10+\n",
       "377                       1                NA            TregIL10+\n",
       "385                      NA                NA                  Th0\n",
       "388                      NA                NA                  Th0\n",
       "4                        NA                NA                  Th0\n",
       "400                      NA                NA                TGFB+\n",
       "401                      NA                NA                TGFB+\n",
       "403                      NA                NA               RORGT+\n",
       "404                      NA                NA                TGFB+\n",
       "406                      40                NA                 Th17\n",
       "409                      NA                NA                 Treg\n",
       "412                      NA                NA                 Treg\n",
       "432                      24                NA           IL10+TGFB+\n",
       "434                      NA                NA          IL10+RORGT+\n",
       "438                      NA                NA            Th17IL10+\n",
       "440                      NA                NA            TregIL10+\n",
       "441                      NA                NA            TregIL10+\n",
       "448/453                  NA                NA              Th0/Th0\n",
       "449                      NA                NA                  Th0\n",
       "452                      NA                NA                  Th0\n",
       "457                      NA                NA              NoLabel\n",
       "464/469                  NA                NA          TGFB+/TGFB+\n",
       "465                      NA                NA                TGFB+\n",
       "466/469                  20                NA         RORGT+/TGFB+\n",
       "466/471                  NA                NA          RORGT+/Th17\n",
       "467                      NA                NA               RORGT+\n",
       "468                      NA                NA                TGFB+\n",
       "470                       8                NA                 Th17\n",
       "472/477                  NA                NA            Treg/Treg\n",
       "473                      12                NA                 Treg\n",
       "476                      NA                NA                 Treg\n",
       "48                       NA                NA           IL10+TGFB+\n",
       "496                      19                NA           IL10+TGFB+\n",
       "497/504                   4                NA IL10+TGFB+/TregIL10+\n",
       "498                      NA                NA          IL10+RORGT+\n",
       "50                       NA                NA          IL10+RORGT+\n",
       "502                      NA                NA            Th17IL10+\n",
       "505                       1                NA            TregIL10+\n",
       "512                      NA                NA                  Th0\n",
       "513                      NA                NA                  Th0\n",
       "516                      NA                NA                  Th0\n",
       "528                      NA                NA                TGFB+\n",
       "544                      NA                43                IL10+\n",
       "545                      NA                NA                IL10+\n",
       "546                      NA                NA          IL10+RORGT+\n",
       "548                      NA                NA                IL10+\n",
       "56                       NA                NA            TregIL10+\n",
       "560                      NA                21           IL10+TGFB+\n",
       "562                      NA                NA          IL10+RORGT+\n",
       "568                      NA                NA            TregIL10+\n",
       "569                      NA                NA            TregIL10+\n",
       "57                       NA                NA            TregIL10+\n",
       "577                      NA                NA                  Th0\n",
       "580                      NA                NA                  Th0\n",
       "6                        NA                NA                 Th17\n",
       "601                      NA                NA                 Treg\n",
       "608                      NA                43                IL10+\n",
       "609                      NA                NA                IL10+\n",
       "610                      NA                NA          IL10+RORGT+\n",
       "612                      NA                NA                IL10+\n",
       "617                      NA                NA                IL10+\n",
       "624                      NA                 3           IL10+TGFB+\n",
       "625/632                  NA                13 IL10+TGFB+/TregIL10+\n",
       "626                      NA                NA          IL10+RORGT+\n",
       "633                      NA                 5            TregIL10+\n",
       "64                       NA                NA                  Th0\n",
       "641                      NA                NA                  Th0\n",
       "644                      NA                NA                  Th0\n",
       "65                       NA                NA                  Th0\n",
       "66/71                    NA                NA          RORGT+/Th17\n",
       "67                       NA                NA               RORGT+\n",
       "672                      NA                46                IL10+\n",
       "673                      NA                NA                IL10+\n",
       "674                      NA                NA          IL10+RORGT+\n",
       "676                      NA                NA                IL10+\n",
       "68                       NA                NA                  Th0\n",
       "688                      NA                18           IL10+TGFB+\n",
       "690                      NA                NA          IL10+RORGT+\n",
       "696                      NA                NA            TregIL10+\n",
       "697                      NA                NA            TregIL10+\n",
       "70                       NA                NA                 Th17\n",
       "704/709                  NA                NA              Th0/Th0\n",
       "705                      NA                NA                  Th0\n",
       "708                      NA                NA                  Th0\n",
       "729                      NA                NA                 Treg\n",
       "73                       NA                NA              NoLabel\n",
       "736                      NA                46                IL10+\n",
       "737                      NA                NA                IL10+\n",
       "738                      NA                NA          IL10+RORGT+\n",
       "740                      NA                NA                IL10+\n",
       "745                      NA                NA                IL10+\n",
       "752                      NA                 3           IL10+TGFB+\n",
       "753/760                  NA                10 IL10+TGFB+/TregIL10+\n",
       "754                      NA                NA          IL10+RORGT+\n",
       "76                       NA                NA              NoLabel\n",
       "761                      NA                 5            TregIL10+\n",
       "784                      NA                NA                TGFB+\n",
       "790                      NA                NA                 Th17\n",
       "80                       NA                NA                TGFB+\n",
       "800                      NA                NA                IL10+\n",
       "81                       NA                NA                TGFB+\n",
       "816                      64                64           IL10+TGFB+\n",
       "818                      NA                NA          IL10+RORGT+\n",
       "822                      NA                NA            Th17IL10+\n",
       "824                      NA                NA            TregIL10+\n",
       "825                      NA                NA            TregIL10+\n",
       "82/85                    NA                NA         RORGT+/TGFB+\n",
       "83                       NA                NA               RORGT+\n",
       "850/853                  NA                NA         RORGT+/TGFB+\n",
       "854                      NA                NA                 Th17\n",
       "857                      NA                NA                 Treg\n",
       "86                       NA                NA                 Th17\n",
       "864                      NA                NA                IL10+\n",
       "873                      NA                NA                IL10+\n",
       "880                      43                43           IL10+TGFB+\n",
       "881/888                  16                16 IL10+TGFB+/TregIL10+\n",
       "882                      NA                NA          IL10+RORGT+\n",
       "886                      NA                NA            Th17IL10+\n",
       "889                       5                 5            TregIL10+\n",
       "89                       NA                NA                 Treg\n",
       "918                      NA                NA                 Th17\n",
       "928                      NA                NA                IL10+\n",
       "944                      64                64           IL10+TGFB+\n",
       "946                      NA                NA          IL10+RORGT+\n",
       "950                      NA                NA            Th17IL10+\n",
       "952                      NA                NA            TregIL10+\n",
       "953                      NA                NA            TregIL10+\n",
       "96                       NA                NA                IL10+\n",
       "978/981                  NA                NA         RORGT+/TGFB+\n",
       "982                      NA                NA                 Th17\n",
       "985                      NA                NA                 Treg\n",
       "992                      NA                NA                IL10+"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "labels <- lapply(rownames(mutants), function(states) {\n",
    "    states <- as.numeric(unlist(strsplit(states, \"/\")))\n",
    "    label <- lapply(states, function(s) {\n",
    "        s <- int2binState(s, net$genes)\n",
    "        l <- labelState(s, net$genes, labels.rules$labels, labels.rules$rules)\n",
    "    })  \n",
    "    label <- paste(label, collapse='/')\n",
    "})\n",
    "mutants$label <- as.character(labels)\n",
    "mutants"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This dataframe is very complicated, we can reduce it by label. As we will use __colSums__ we replaced the NAs for 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>WT.basinSize</th><th scope=col>IL2_0.basinSize</th><th scope=col>RORGT_0.basinSize</th><th scope=col>STAT3_0.basinSize</th><th scope=col>FOXP3_0.basinSize</th><th scope=col>TGFB_0.basinSize</th><th scope=col>IL10_0.basinSize</th><th scope=col>IL2e_0.basinSize</th><th scope=col>IL21e_0.basinSize</th><th scope=col>TGFBe_0.basinSize</th><th scope=col></th><th scope=col>IL2_1.basinSize</th><th scope=col>RORGT_1.basinSize</th><th scope=col>STAT3_1.basinSize</th><th scope=col>FOXP3_1.basinSize</th><th scope=col>TGFB_1.basinSize</th><th scope=col>IL10_1.basinSize</th><th scope=col>IL2e_1.basinSize</th><th scope=col>IL21e_1.basinSize</th><th scope=col>TGFBe_1.basinSize</th><th scope=col>IL10e_1.basinSize</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>IL10+</th><td>178</td><td>98 </td><td>86 </td><td>32 </td><td>102</td><td>256</td><td>0  </td><td>89 </td><td>86 </td><td>178</td><td>⋯  </td><td>80 </td><td>0  </td><td>192</td><td>0  </td><td>0  </td><td>160</td><td>89 </td><td>92 </td><td>0  </td><td>178</td></tr>\n",
       "\t<tr><th scope=row>IL10+RORGT+</th><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>⋯  </td><td>0  </td><td>320</td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td></tr>\n",
       "\t<tr><th scope=row>IL10+TGFB+</th><td>371</td><td>222</td><td>181</td><td>176</td><td>218</td><td>0  </td><td>0  </td><td>231</td><td>185</td><td>67 </td><td>⋯  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>324</td><td>280</td><td>140</td><td>186</td><td>304</td><td>263</td></tr>\n",
       "\t<tr><th scope=row>IL10+TGFB+/TregIL10+</th><td>67</td><td>0 </td><td>29</td><td>88</td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>37</td><td>31</td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>44</td><td>56</td><td>67</td><td>30</td><td>36</td><td>51</td></tr>\n",
       "\t<tr><th scope=row>NoLabel</th><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>8 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>42</td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>NoLabel/Treg</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>⋯</td><td>0</td><td>0</td><td>0</td><td>8</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>RORGT+</th><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>⋯ </td><td>0 </td><td>32</td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>RORGT+/TGFB+</th><td>26</td><td>0 </td><td>0 </td><td>0 </td><td>16</td><td>0 </td><td>44</td><td>0 </td><td>6 </td><td>0 </td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>24</td><td>0 </td><td>26</td><td>20</td><td>26</td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>RORGT+/Th17</th><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>⋯ </td><td>0 </td><td>56</td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>TGFB+</th><td>39</td><td>26</td><td>56</td><td>80</td><td>42</td><td>0 </td><td>54</td><td>39</td><td>39</td><td>13</td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>16</td><td>0 </td><td>0 </td><td>0 </td><td>26</td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>TGFB+/TGFB+</th><td>0 </td><td>0 </td><td>10</td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>Th0</th><td>152</td><td>102</td><td>73 </td><td>32 </td><td>82 </td><td>208</td><td>176</td><td>99 </td><td>86 </td><td>152</td><td>⋯  </td><td>80 </td><td>0  </td><td>64 </td><td>0  </td><td>0  </td><td>0  </td><td>53 </td><td>66 </td><td>0  </td><td>0  </td></tr>\n",
       "\t<tr><th scope=row>Th0/Th0</th><td>36</td><td>0 </td><td>18</td><td>0 </td><td>20</td><td>40</td><td>32</td><td>0 </td><td>0 </td><td>36</td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>36</td><td>36</td><td>0 </td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>Th17</th><td>70 </td><td>64 </td><td>0  </td><td>0  </td><td>32 </td><td>0  </td><td>124</td><td>54 </td><td>22 </td><td>0  </td><td>⋯  </td><td>0  </td><td>104</td><td>64 </td><td>0  </td><td>64 </td><td>0  </td><td>16 </td><td>48 </td><td>70 </td><td>0  </td></tr>\n",
       "\t<tr><th scope=row>Th17IL10+</th><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>⋯  </td><td>0  </td><td>0  </td><td>192</td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td></tr>\n",
       "\t<tr><th scope=row>Treg</th><td>61 </td><td>0  </td><td>35 </td><td>80 </td><td>0  </td><td>0  </td><td>82 </td><td>0  </td><td>39 </td><td>23 </td><td>⋯  </td><td>112</td><td>0  </td><td>0  </td><td>134</td><td>24 </td><td>0  </td><td>61 </td><td>22 </td><td>38 </td><td>0  </td></tr>\n",
       "\t<tr><th scope=row>TregIL10+</th><td>24 </td><td>0  </td><td>24 </td><td>24 </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>12 </td><td>12 </td><td>⋯  </td><td>240</td><td>0  </td><td>0  </td><td>320</td><td>16 </td><td>16 </td><td>24 </td><td>12 </td><td>12 </td><td>20 </td></tr>\n",
       "\t<tr><th scope=row>Treg/Treg</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>⋯</td><td>0</td><td>0</td><td>0</td><td>8</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & WT.basinSize & IL2_0.basinSize & RORGT_0.basinSize & STAT3_0.basinSize & FOXP3_0.basinSize & TGFB_0.basinSize & IL10_0.basinSize & IL2e_0.basinSize & IL21e_0.basinSize & TGFBe_0.basinSize &  & IL2_1.basinSize & RORGT_1.basinSize & STAT3_1.basinSize & FOXP3_1.basinSize & TGFB_1.basinSize & IL10_1.basinSize & IL2e_1.basinSize & IL21e_1.basinSize & TGFBe_1.basinSize & IL10e_1.basinSize\\\\\n",
       "\\hline\n",
       "\tIL10+ & 178 & 98  & 86  & 32  & 102 & 256 & 0   & 89  & 86  & 178 & ⋯   & 80  & 0   & 192 & 0   & 0   & 160 & 89  & 92  & 0   & 178\\\\\n",
       "\tIL10+RORGT+ & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & ⋯   & 0   & 320 & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0  \\\\\n",
       "\tIL10+TGFB+ & 371 & 222 & 181 & 176 & 218 & 0   & 0   & 231 & 185 & 67  & ⋯   & 0   & 0   & 0   & 0   & 324 & 280 & 140 & 186 & 304 & 263\\\\\n",
       "\tIL10+TGFB+/TregIL10+ & 67 & 0  & 29 & 88 & 0  & 0  & 0  & 0  & 37 & 31 & ⋯  & 0  & 0  & 0  & 0  & 44 & 56 & 67 & 30 & 36 & 51\\\\\n",
       "\tNoLabel & 0  & 0  & 0  & 0  & 0  & 8  & 0  & 0  & 0  & 0  & ⋯  & 0  & 0  & 0  & 42 & 0  & 0  & 0  & 0  & 0  & 0 \\\\\n",
       "\tNoLabel/Treg & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 8 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
       "\tRORGT+ & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & ⋯  & 0  & 32 & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0 \\\\\n",
       "\tRORGT+/TGFB+ & 26 & 0  & 0  & 0  & 16 & 0  & 44 & 0  & 6  & 0  & ⋯  & 0  & 0  & 0  & 0  & 24 & 0  & 26 & 20 & 26 & 0 \\\\\n",
       "\tRORGT+/Th17 & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & ⋯  & 0  & 56 & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0 \\\\\n",
       "\tTGFB+ & 39 & 26 & 56 & 80 & 42 & 0  & 54 & 39 & 39 & 13 & ⋯  & 0  & 0  & 0  & 0  & 16 & 0  & 0  & 0  & 26 & 0 \\\\\n",
       "\tTGFB+/TGFB+ & 0  & 0  & 10 & 0  & 0  & 0  & 0  & 0  & 0  & 0  & ⋯  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0 \\\\\n",
       "\tTh0 & 152 & 102 & 73  & 32  & 82  & 208 & 176 & 99  & 86  & 152 & ⋯   & 80  & 0   & 64  & 0   & 0   & 0   & 53  & 66  & 0   & 0  \\\\\n",
       "\tTh0/Th0 & 36 & 0  & 18 & 0  & 20 & 40 & 32 & 0  & 0  & 36 & ⋯  & 0  & 0  & 0  & 0  & 0  & 0  & 36 & 36 & 0  & 0 \\\\\n",
       "\tTh17 & 70  & 64  & 0   & 0   & 32  & 0   & 124 & 54  & 22  & 0   & ⋯   & 0   & 104 & 64  & 0   & 64  & 0   & 16  & 48  & 70  & 0  \\\\\n",
       "\tTh17IL10+ & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & ⋯   & 0   & 0   & 192 & 0   & 0   & 0   & 0   & 0   & 0   & 0  \\\\\n",
       "\tTreg & 61  & 0   & 35  & 80  & 0   & 0   & 82  & 0   & 39  & 23  & ⋯   & 112 & 0   & 0   & 134 & 24  & 0   & 61  & 22  & 38  & 0  \\\\\n",
       "\tTregIL10+ & 24  & 0   & 24  & 24  & 0   & 0   & 0   & 0   & 12  & 12  & ⋯   & 240 & 0   & 0   & 320 & 16  & 16  & 24  & 12  & 12  & 20 \\\\\n",
       "\tTreg/Treg & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 8 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
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       "263. 0\n",
       "264. 0\n",
       "265. 0\n",
       "266. 0\n",
       "267. 0\n",
       "268. 134\n",
       "269. 320\n",
       "270. 8\n",
       "271. 0\n",
       "272. 0\n",
       "273. 324\n",
       "274. 44\n",
       "275. 0\n",
       "276. 0\n",
       "277. 0\n",
       "278. 24\n",
       "279. 0\n",
       "280. 16\n",
       "281. 0\n",
       "282. 0\n",
       "283. 0\n",
       "284. 64\n",
       "285. 0\n",
       "286. 24\n",
       "287. 16\n",
       "288. 0\n",
       "289. 160\n",
       "290. 0\n",
       "291. 280\n",
       "292. 56\n",
       "293. 0\n",
       "294. 0\n",
       "295. 0\n",
       "296. 0\n",
       "297. 0\n",
       "298. 0\n",
       "299. 0\n",
       "300. 0\n",
       "301. 0\n",
       "302. 0\n",
       "303. 0\n",
       "304. 0\n",
       "305. 16\n",
       "306. 0\n",
       "307. 89\n",
       "308. 0\n",
       "309. 140\n",
       "310. 67\n",
       "311. 0\n",
       "312. 0\n",
       "313. 0\n",
       "314. 26\n",
       "315. 0\n",
       "316. 0\n",
       "317. 0\n",
       "318. 53\n",
       "319. 36\n",
       "320. 16\n",
       "321. 0\n",
       "322. 61\n",
       "323. 24\n",
       "324. 0\n",
       "325. 92\n",
       "326. 0\n",
       "327. 186\n",
       "328. 30\n",
       "329. 0\n",
       "330. 0\n",
       "331. 0\n",
       "332. 20\n",
       "333. 0\n",
       "334. 0\n",
       "335. 0\n",
       "336. 66\n",
       "337. 36\n",
       "338. 48\n",
       "339. 0\n",
       "340. 22\n",
       "341. 12\n",
       "342. 0\n",
       "343. 0\n",
       "344. 0\n",
       "345. 304\n",
       "346. 36\n",
       "347. 0\n",
       "348. 0\n",
       "349. 0\n",
       "350. 26\n",
       "351. 0\n",
       "352. 26\n",
       "353. 0\n",
       "354. 0\n",
       "355. 0\n",
       "356. 70\n",
       "357. 0\n",
       "358. 38\n",
       "359. 12\n",
       "360. 0\n",
       "361. 178\n",
       "362. 0\n",
       "363. 263\n",
       "364. 51\n",
       "365. 0\n",
       "366. 0\n",
       "367. 0\n",
       "368. 0\n",
       "369. 0\n",
       "370. 0\n",
       "371. 0\n",
       "372. 0\n",
       "373. 0\n",
       "374. 0\n",
       "375. 0\n",
       "376. 0\n",
       "377. 20\n",
       "378. 0\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "                     WT.basinSize IL2_0.basinSize RORGT_0.basinSize\n",
       "IL10+                         178              98                86\n",
       "IL10+RORGT+                     0               0                 0\n",
       "IL10+TGFB+                    371             222               181\n",
       "IL10+TGFB+/TregIL10+           67               0                29\n",
       "NoLabel                         0               0                 0\n",
       "NoLabel/Treg                    0               0                 0\n",
       "RORGT+                          0               0                 0\n",
       "RORGT+/TGFB+                   26               0                 0\n",
       "RORGT+/Th17                     0               0                 0\n",
       "TGFB+                          39              26                56\n",
       "TGFB+/TGFB+                     0               0                10\n",
       "Th0                           152             102                73\n",
       "Th0/Th0                        36               0                18\n",
       "Th17                           70              64                 0\n",
       "Th17IL10+                       0               0                 0\n",
       "Treg                           61               0                35\n",
       "TregIL10+                      24               0                24\n",
       "Treg/Treg                       0               0                 0\n",
       "                     STAT3_0.basinSize FOXP3_0.basinSize TGFB_0.basinSize\n",
       "IL10+                               32               102              256\n",
       "IL10+RORGT+                          0                 0                0\n",
       "IL10+TGFB+                         176               218                0\n",
       "IL10+TGFB+/TregIL10+                88                 0                0\n",
       "NoLabel                              0                 0                8\n",
       "NoLabel/Treg                         0                 0                0\n",
       "RORGT+                               0                 0                0\n",
       "RORGT+/TGFB+                         0                16                0\n",
       "RORGT+/Th17                          0                 0                0\n",
       "TGFB+                               80                42                0\n",
       "TGFB+/TGFB+                          0                 0                0\n",
       "Th0                                 32                82              208\n",
       "Th0/Th0                              0                20               40\n",
       "Th17                                 0                32                0\n",
       "Th17IL10+                            0                 0                0\n",
       "Treg                                80                 0                0\n",
       "TregIL10+                           24                 0                0\n",
       "Treg/Treg                            0                 0                0\n",
       "                     IL10_0.basinSize IL2e_0.basinSize IL21e_0.basinSize\n",
       "IL10+                               0               89                86\n",
       "IL10+RORGT+                         0                0                 0\n",
       "IL10+TGFB+                          0              231               185\n",
       "IL10+TGFB+/TregIL10+                0                0                37\n",
       "NoLabel                             0                0                 0\n",
       "NoLabel/Treg                        0                0                 0\n",
       "RORGT+                              0                0                 0\n",
       "RORGT+/TGFB+                       44                0                 6\n",
       "RORGT+/Th17                         0                0                 0\n",
       "TGFB+                              54               39                39\n",
       "TGFB+/TGFB+                         0                0                 0\n",
       "Th0                               176               99                86\n",
       "Th0/Th0                            32                0                 0\n",
       "Th17                              124               54                22\n",
       "Th17IL10+                           0                0                 0\n",
       "Treg                               82                0                39\n",
       "TregIL10+                           0                0                12\n",
       "Treg/Treg                           0                0                 0\n",
       "                     TGFBe_0.basinSize IL10e_0.basinSize IL2_1.basinSize\n",
       "IL10+                              178                 0              80\n",
       "IL10+RORGT+                          0                 0               0\n",
       "IL10+TGFB+                          67               108               0\n",
       "IL10+TGFB+/TregIL10+                31                16               0\n",
       "NoLabel                              0                 0               0\n",
       "NoLabel/Treg                         0                 0               0\n",
       "RORGT+                               0                 0               0\n",
       "RORGT+/TGFB+                         0                26               0\n",
       "RORGT+/Th17                          0                 0               0\n",
       "TGFB+                               13                39               0\n",
       "TGFB+/TGFB+                          0                 0               0\n",
       "Th0                                152               152              80\n",
       "Th0/Th0                             36                36               0\n",
       "Th17                                 0                70               0\n",
       "Th17IL10+                            0                 0               0\n",
       "Treg                                23                61             112\n",
       "TregIL10+                           12                 4             240\n",
       "Treg/Treg                            0                 0               0\n",
       "                     RORGT_1.basinSize STAT3_1.basinSize FOXP3_1.basinSize\n",
       "IL10+                                0               192                 0\n",
       "IL10+RORGT+                        320                 0                 0\n",
       "IL10+TGFB+                           0                 0                 0\n",
       "IL10+TGFB+/TregIL10+                 0                 0                 0\n",
       "NoLabel                              0                 0                42\n",
       "NoLabel/Treg                         0                 0                 8\n",
       "RORGT+                              32                 0                 0\n",
       "RORGT+/TGFB+                         0                 0                 0\n",
       "RORGT+/Th17                         56                 0                 0\n",
       "TGFB+                                0                 0                 0\n",
       "TGFB+/TGFB+                          0                 0                 0\n",
       "Th0                                  0                64                 0\n",
       "Th0/Th0                              0                 0                 0\n",
       "Th17                               104                64                 0\n",
       "Th17IL10+                            0               192                 0\n",
       "Treg                                 0                 0               134\n",
       "TregIL10+                            0                 0               320\n",
       "Treg/Treg                            0                 0                 8\n",
       "                     TGFB_1.basinSize IL10_1.basinSize IL2e_1.basinSize\n",
       "IL10+                               0              160               89\n",
       "IL10+RORGT+                         0                0                0\n",
       "IL10+TGFB+                        324              280              140\n",
       "IL10+TGFB+/TregIL10+               44               56               67\n",
       "NoLabel                             0                0                0\n",
       "NoLabel/Treg                        0                0                0\n",
       "RORGT+                              0                0                0\n",
       "RORGT+/TGFB+                       24                0               26\n",
       "RORGT+/Th17                         0                0                0\n",
       "TGFB+                              16                0                0\n",
       "TGFB+/TGFB+                         0                0                0\n",
       "Th0                                 0                0               53\n",
       "Th0/Th0                             0                0               36\n",
       "Th17                               64                0               16\n",
       "Th17IL10+                           0                0                0\n",
       "Treg                               24                0               61\n",
       "TregIL10+                          16               16               24\n",
       "Treg/Treg                           0                0                0\n",
       "                     IL21e_1.basinSize TGFBe_1.basinSize IL10e_1.basinSize\n",
       "IL10+                               92                 0               178\n",
       "IL10+RORGT+                          0                 0                 0\n",
       "IL10+TGFB+                         186               304               263\n",
       "IL10+TGFB+/TregIL10+                30                36                51\n",
       "NoLabel                              0                 0                 0\n",
       "NoLabel/Treg                         0                 0                 0\n",
       "RORGT+                               0                 0                 0\n",
       "RORGT+/TGFB+                        20                26                 0\n",
       "RORGT+/Th17                          0                 0                 0\n",
       "TGFB+                                0                26                 0\n",
       "TGFB+/TGFB+                          0                 0                 0\n",
       "Th0                                 66                 0                 0\n",
       "Th0/Th0                             36                 0                 0\n",
       "Th17                                48                70                 0\n",
       "Th17IL10+                            0                 0                 0\n",
       "Treg                                22                38                 0\n",
       "TregIL10+                           12                12                20\n",
       "Treg/Treg                            0                 0                 0"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mutants[is.na(mutants)] <- 0 # NAs to 0\n",
    "mutants.by.label <- by(mutants[, 1:(length(mutants)-1)], mutants$label, colSums) #colSums by label\n",
    "mutants.by.label <- t(sapply(mutants.by.label, function(label) label )) #simplify and transpose\n",
    "mutants.by.label"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Too disordered, lets rename the columns and order the labels."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>WT</th><th scope=col>IL2_0</th><th scope=col>RORGT_0</th><th scope=col>STAT3_0</th><th scope=col>FOXP3_0</th><th scope=col>TGFB_0</th><th scope=col>IL10_0</th><th scope=col>IL2e_0</th><th scope=col>IL21e_0</th><th scope=col>TGFBe_0</th><th scope=col></th><th scope=col>IL2_1</th><th scope=col>RORGT_1</th><th scope=col>STAT3_1</th><th scope=col>FOXP3_1</th><th scope=col>TGFB_1</th><th scope=col>IL10_1</th><th scope=col>IL2e_1</th><th scope=col>IL21e_1</th><th scope=col>TGFBe_1</th><th scope=col>IL10e_1</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Th0</th><td>152</td><td>102</td><td>73 </td><td>32 </td><td>82 </td><td>208</td><td>176</td><td>99 </td><td>86 </td><td>152</td><td>⋯  </td><td>80 </td><td>0  </td><td>64 </td><td>0  </td><td>0  </td><td>0  </td><td>53 </td><td>66 </td><td>0  </td><td>0  </td></tr>\n",
       "\t<tr><th scope=row>Th17</th><td>70 </td><td>64 </td><td>0  </td><td>0  </td><td>32 </td><td>0  </td><td>124</td><td>54 </td><td>22 </td><td>0  </td><td>⋯  </td><td>0  </td><td>104</td><td>64 </td><td>0  </td><td>64 </td><td>0  </td><td>16 </td><td>48 </td><td>70 </td><td>0  </td></tr>\n",
       "\t<tr><th scope=row>Treg</th><td>61 </td><td>0  </td><td>35 </td><td>80 </td><td>0  </td><td>0  </td><td>82 </td><td>0  </td><td>39 </td><td>23 </td><td>⋯  </td><td>112</td><td>0  </td><td>0  </td><td>134</td><td>24 </td><td>0  </td><td>61 </td><td>22 </td><td>38 </td><td>0  </td></tr>\n",
       "\t<tr><th scope=row>TregIL10+</th><td>24 </td><td>0  </td><td>24 </td><td>24 </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>12 </td><td>12 </td><td>⋯  </td><td>240</td><td>0  </td><td>0  </td><td>320</td><td>16 </td><td>16 </td><td>24 </td><td>12 </td><td>12 </td><td>20 </td></tr>\n",
       "\t<tr><th scope=row>IL10+</th><td>178</td><td>98 </td><td>86 </td><td>32 </td><td>102</td><td>256</td><td>0  </td><td>89 </td><td>86 </td><td>178</td><td>⋯  </td><td>80 </td><td>0  </td><td>192</td><td>0  </td><td>0  </td><td>160</td><td>89 </td><td>92 </td><td>0  </td><td>178</td></tr>\n",
       "\t<tr><th scope=row>TGFB+</th><td>39</td><td>26</td><td>56</td><td>80</td><td>42</td><td>0 </td><td>54</td><td>39</td><td>39</td><td>13</td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>16</td><td>0 </td><td>0 </td><td>0 </td><td>26</td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>IL10+TGFB+</th><td>371</td><td>222</td><td>181</td><td>176</td><td>218</td><td>0  </td><td>0  </td><td>231</td><td>185</td><td>67 </td><td>⋯  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>324</td><td>280</td><td>140</td><td>186</td><td>304</td><td>263</td></tr>\n",
       "\t<tr><th scope=row>RORGT+</th><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>⋯ </td><td>0 </td><td>32</td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>IL10+RORGT+</th><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>⋯  </td><td>0  </td><td>320</td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td></tr>\n",
       "\t<tr><th scope=row>Th17IL10+</th><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>⋯  </td><td>0  </td><td>0  </td><td>192</td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td><td>0  </td></tr>\n",
       "\t<tr><th scope=row>NoLabel</th><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>8 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>42</td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>Th0/Th0</th><td>36</td><td>0 </td><td>18</td><td>0 </td><td>20</td><td>40</td><td>32</td><td>0 </td><td>0 </td><td>36</td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>36</td><td>36</td><td>0 </td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>RORGT+/Th17</th><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>⋯ </td><td>0 </td><td>56</td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>RORGT+/TGFB+</th><td>26</td><td>0 </td><td>0 </td><td>0 </td><td>16</td><td>0 </td><td>44</td><td>0 </td><td>6 </td><td>0 </td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>24</td><td>0 </td><td>26</td><td>20</td><td>26</td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>TGFB+/TGFB+</th><td>0 </td><td>0 </td><td>10</td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td></tr>\n",
       "\t<tr><th scope=row>Treg/Treg</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>⋯</td><td>0</td><td>0</td><td>0</td><td>8</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>IL10+TGFB+/TregIL10+</th><td>67</td><td>0 </td><td>29</td><td>88</td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>37</td><td>31</td><td>⋯ </td><td>0 </td><td>0 </td><td>0 </td><td>0 </td><td>44</td><td>56</td><td>67</td><td>30</td><td>36</td><td>51</td></tr>\n",
       "\t<tr><th scope=row>NoLabel/Treg</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>⋯</td><td>0</td><td>0</td><td>0</td><td>8</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllllllllllllllllllll}\n",
       "  & WT & IL2_0 & RORGT_0 & STAT3_0 & FOXP3_0 & TGFB_0 & IL10_0 & IL2e_0 & IL21e_0 & TGFBe_0 &  & IL2_1 & RORGT_1 & STAT3_1 & FOXP3_1 & TGFB_1 & IL10_1 & IL2e_1 & IL21e_1 & TGFBe_1 & IL10e_1\\\\\n",
       "\\hline\n",
       "\tTh0 & 152 & 102 & 73  & 32  & 82  & 208 & 176 & 99  & 86  & 152 & ⋯   & 80  & 0   & 64  & 0   & 0   & 0   & 53  & 66  & 0   & 0  \\\\\n",
       "\tTh17 & 70  & 64  & 0   & 0   & 32  & 0   & 124 & 54  & 22  & 0   & ⋯   & 0   & 104 & 64  & 0   & 64  & 0   & 16  & 48  & 70  & 0  \\\\\n",
       "\tTreg & 61  & 0   & 35  & 80  & 0   & 0   & 82  & 0   & 39  & 23  & ⋯   & 112 & 0   & 0   & 134 & 24  & 0   & 61  & 22  & 38  & 0  \\\\\n",
       "\tTregIL10+ & 24  & 0   & 24  & 24  & 0   & 0   & 0   & 0   & 12  & 12  & ⋯   & 240 & 0   & 0   & 320 & 16  & 16  & 24  & 12  & 12  & 20 \\\\\n",
       "\tIL10+ & 178 & 98  & 86  & 32  & 102 & 256 & 0   & 89  & 86  & 178 & ⋯   & 80  & 0   & 192 & 0   & 0   & 160 & 89  & 92  & 0   & 178\\\\\n",
       "\tTGFB+ & 39 & 26 & 56 & 80 & 42 & 0  & 54 & 39 & 39 & 13 & ⋯  & 0  & 0  & 0  & 0  & 16 & 0  & 0  & 0  & 26 & 0 \\\\\n",
       "\tIL10+TGFB+ & 371 & 222 & 181 & 176 & 218 & 0   & 0   & 231 & 185 & 67  & ⋯   & 0   & 0   & 0   & 0   & 324 & 280 & 140 & 186 & 304 & 263\\\\\n",
       "\tRORGT+ & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & ⋯  & 0  & 32 & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0 \\\\\n",
       "\tIL10+RORGT+ & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & ⋯   & 0   & 320 & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0  \\\\\n",
       "\tTh17IL10+ & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & 0   & ⋯   & 0   & 0   & 192 & 0   & 0   & 0   & 0   & 0   & 0   & 0  \\\\\n",
       "\tNoLabel & 0  & 0  & 0  & 0  & 0  & 8  & 0  & 0  & 0  & 0  & ⋯  & 0  & 0  & 0  & 42 & 0  & 0  & 0  & 0  & 0  & 0 \\\\\n",
       "\tTh0/Th0 & 36 & 0  & 18 & 0  & 20 & 40 & 32 & 0  & 0  & 36 & ⋯  & 0  & 0  & 0  & 0  & 0  & 0  & 36 & 36 & 0  & 0 \\\\\n",
       "\tRORGT+/Th17 & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & ⋯  & 0  & 56 & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0 \\\\\n",
       "\tRORGT+/TGFB+ & 26 & 0  & 0  & 0  & 16 & 0  & 44 & 0  & 6  & 0  & ⋯  & 0  & 0  & 0  & 0  & 24 & 0  & 26 & 20 & 26 & 0 \\\\\n",
       "\tTGFB+/TGFB+ & 0  & 0  & 10 & 0  & 0  & 0  & 0  & 0  & 0  & 0  & ⋯  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0 \\\\\n",
       "\tTreg/Treg & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 8 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
       "\tIL10+TGFB+/TregIL10+ & 67 & 0  & 29 & 88 & 0  & 0  & 0  & 0  & 37 & 31 & ⋯  & 0  & 0  & 0  & 0  & 44 & 56 & 67 & 30 & 36 & 51\\\\\n",
       "\tNoLabel/Treg & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & ⋯ & 0 & 0 & 0 & 8 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
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       "\n",
       "\n"
      ],
      "text/plain": [
       "                      WT IL2_0 RORGT_0 STAT3_0 FOXP3_0 TGFB_0 IL10_0 IL2e_0\n",
       "Th0                  152   102      73      32      82    208    176     99\n",
       "Th17                  70    64       0       0      32      0    124     54\n",
       "Treg                  61     0      35      80       0      0     82      0\n",
       "TregIL10+             24     0      24      24       0      0      0      0\n",
       "IL10+                178    98      86      32     102    256      0     89\n",
       "TGFB+                 39    26      56      80      42      0     54     39\n",
       "IL10+TGFB+           371   222     181     176     218      0      0    231\n",
       "RORGT+                 0     0       0       0       0      0      0      0\n",
       "IL10+RORGT+            0     0       0       0       0      0      0      0\n",
       "Th17IL10+              0     0       0       0       0      0      0      0\n",
       "NoLabel                0     0       0       0       0      8      0      0\n",
       "Th0/Th0               36     0      18       0      20     40     32      0\n",
       "RORGT+/Th17            0     0       0       0       0      0      0      0\n",
       "RORGT+/TGFB+          26     0       0       0      16      0     44      0\n",
       "TGFB+/TGFB+            0     0      10       0       0      0      0      0\n",
       "Treg/Treg              0     0       0       0       0      0      0      0\n",
       "IL10+TGFB+/TregIL10+  67     0      29      88       0      0      0      0\n",
       "NoLabel/Treg           0     0       0       0       0      0      0      0\n",
       "                     IL21e_0 TGFBe_0 IL10e_0 IL2_1 RORGT_1 STAT3_1 FOXP3_1\n",
       "Th0                       86     152     152    80       0      64       0\n",
       "Th17                      22       0      70     0     104      64       0\n",
       "Treg                      39      23      61   112       0       0     134\n",
       "TregIL10+                 12      12       4   240       0       0     320\n",
       "IL10+                     86     178       0    80       0     192       0\n",
       "TGFB+                     39      13      39     0       0       0       0\n",
       "IL10+TGFB+               185      67     108     0       0       0       0\n",
       "RORGT+                     0       0       0     0      32       0       0\n",
       "IL10+RORGT+                0       0       0     0     320       0       0\n",
       "Th17IL10+                  0       0       0     0       0     192       0\n",
       "NoLabel                    0       0       0     0       0       0      42\n",
       "Th0/Th0                    0      36      36     0       0       0       0\n",
       "RORGT+/Th17                0       0       0     0      56       0       0\n",
       "RORGT+/TGFB+               6       0      26     0       0       0       0\n",
       "TGFB+/TGFB+                0       0       0     0       0       0       0\n",
       "Treg/Treg                  0       0       0     0       0       0       8\n",
       "IL10+TGFB+/TregIL10+      37      31      16     0       0       0       0\n",
       "NoLabel/Treg               0       0       0     0       0       0       8\n",
       "                     TGFB_1 IL10_1 IL2e_1 IL21e_1 TGFBe_1 IL10e_1\n",
       "Th0                       0      0     53      66       0       0\n",
       "Th17                     64      0     16      48      70       0\n",
       "Treg                     24      0     61      22      38       0\n",
       "TregIL10+                16     16     24      12      12      20\n",
       "IL10+                     0    160     89      92       0     178\n",
       "TGFB+                    16      0      0       0      26       0\n",
       "IL10+TGFB+              324    280    140     186     304     263\n",
       "RORGT+                    0      0      0       0       0       0\n",
       "IL10+RORGT+               0      0      0       0       0       0\n",
       "Th17IL10+                 0      0      0       0       0       0\n",
       "NoLabel                   0      0      0       0       0       0\n",
       "Th0/Th0                   0      0     36      36       0       0\n",
       "RORGT+/Th17               0      0      0       0       0       0\n",
       "RORGT+/TGFB+             24      0     26      20      26       0\n",
       "TGFB+/TGFB+               0      0      0       0       0       0\n",
       "Treg/Treg                 0      0      0       0       0       0\n",
       "IL10+TGFB+/TregIL10+     44     56     67      30      36      51\n",
       "NoLabel/Treg              0      0      0       0       0       0"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "colnames(mutants.by.label) <- lapply(colnames(mutants.by.label), function(s) {\n",
    "    unlist(strsplit(s, split='.', fixed=TRUE))[1]\n",
    "})\n",
    "mutants.by.label <- mutants.by.label[ c(\n",
    "    'Th0', 'Th17', 'Treg', 'TregIL10+', 'IL10+', 'TGFB+', 'IL10+TGFB+', \n",
    "    'RORGT+', 'IL10+RORGT+', 'Th17IL10+', 'NoLabel', \n",
    "    'Th0/Th0', 'RORGT+/Th17', 'RORGT+/TGFB+', 'TGFB+/TGFB+', \n",
    "    'Treg/Treg', 'IL10+TGFB+/TregIL10+', 'NoLabel/Treg'\n",
    ") , ]\n",
    "mutants.by.label"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Still to complicated, lets plot it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      ],
      "text/plain": [
       "plot without title"
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     },
     "metadata": {
      "image/svg+xml": {
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     "output_type": "display_data"
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   ],
   "source": [
    "mutants.by.label.matrix <- data.matrix(mutants.by.label) #convert to matrix\n",
    "mutants.by.label.matrix[mutants.by.label.matrix==0] <- NA #replace 0s for NAs\n",
    "colfunc <- colorRampPalette(c(\"cyan\", \"darkblue\")) #nice color scale\n",
    "mutants.heatmap <- heatmap(mutants.by.label.matrix,  # the heatmap\n",
    "                            Rowv=NA, Colv=NA, \n",
    "                            col= colfunc(10),\n",
    "                            #col=brewer.pal(3,\"Blues\"), \n",
    "                            scale=\"column\", margins=c(5,10))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see this method fixed created single knockouts and overexpressions for both the genes and signalling pathways and for the input signals. Next we will simulate particular environments and study how changes in the environment affect differentiation and plasticity."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "TODO: BIOLOGICAL DISCUSSION"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Fixed environments\n",
    "\n",
    "The state of a network usually depends in external factors -that can be modeled as inputs. It is possible to simulate the change from one environment to an other by fixing the input nodes to simulate the different environments\\cite{Thieffry}. In this section we will study the effect of permanetly changing the environment of a cell type, we will discuss the effect of [transient perturbations later](./RPRN-States.ipynb).\n",
    "\n",
    "Until now we have studied the attractors we can reach in all possible environmental conditions. However, cell types are usually restricted by their microenvironment."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the Th17/iTreg model we can define various environments:\n",
    "* pro-Th0 :   no extrinsic cytokines\n",
    "* pro-Th17: IL21+ and TGFB+\n",
    "* pro-iTreg: IL2+ and TGFB+\n",
    "* pro-IL10 : IL10+\n",
    "\n",
    "We can represent this environments by fixing the values of the corresponding nodes.  The environments for the Th17/iTreg network can be found in the `BoolNetPerturb` data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [
    {
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       "\t<li>'pro-iTreg'</li>\n",
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       "\t<li>NA</li>\n",
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       "\\begin{description}\n",
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       "$label\n",
       ":   1. 'All'\n",
       "2. 'pro-Th0'\n",
       "3. 'pro-Th17'\n",
       "4. 'pro-iTreg'\n",
       "5. 'pro-IL10'\n",
       "\n",
       "\n",
       "\n",
       "$nodes\n",
       ":   1. NA\n",
       "2. 1. 'IL2e'\n",
       "2. 'IL21e'\n",
       "3. 'TGFBe'\n",
       "4. 'IL10e'\n",
       "\n",
       "\n",
       "\n",
       "3. 1. 'IL2e'\n",
       "2. 'IL21e'\n",
       "3. 'TGFBe'\n",
       "4. 'IL10e'\n",
       "\n",
       "\n",
       "\n",
       "4. 1. 'IL2e'\n",
       "2. 'IL21e'\n",
       "3. 'TGFBe'\n",
       "4. 'IL10e'\n",
       "\n",
       "\n",
       "\n",
       "5. 1. 'IL2e'\n",
       "2. 'IL21e'\n",
       "3. 'TGFBe'\n",
       "4. 'IL10e'\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "$values\n",
       ":   1. NA\n",
       "2. 1. 0\n",
       "2. 0\n",
       "3. 0\n",
       "4. 0\n",
       "\n",
       "\n",
       "\n",
       "3. 1. 0\n",
       "2. 1\n",
       "3. 1\n",
       "4. 0\n",
       "\n",
       "\n",
       "\n",
       "4. 1. 1\n",
       "2. 0\n",
       "3. 1\n",
       "4. 0\n",
       "\n",
       "\n",
       "\n",
       "5. 1. 0\n",
       "2. 0\n",
       "3. 0\n",
       "4. 1\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "$label\n",
       "[1] \"All\"       \"pro-Th0\"   \"pro-Th17\"  \"pro-iTreg\" \"pro-IL10\" \n",
       "\n",
       "$nodes\n",
       "$nodes[[1]]\n",
       "[1] NA\n",
       "\n",
       "$nodes[[2]]\n",
       "[1] \"IL2e\"  \"IL21e\" \"TGFBe\" \"IL10e\"\n",
       "\n",
       "$nodes[[3]]\n",
       "[1] \"IL2e\"  \"IL21e\" \"TGFBe\" \"IL10e\"\n",
       "\n",
       "$nodes[[4]]\n",
       "[1] \"IL2e\"  \"IL21e\" \"TGFBe\" \"IL10e\"\n",
       "\n",
       "$nodes[[5]]\n",
       "[1] \"IL2e\"  \"IL21e\" \"TGFBe\" \"IL10e\"\n",
       "\n",
       "\n",
       "$values\n",
       "$values[[1]]\n",
       "[1] NA\n",
       "\n",
       "$values[[2]]\n",
       "[1] 0 0 0 0\n",
       "\n",
       "$values[[3]]\n",
       "[1] 0 1 1 0\n",
       "\n",
       "$values[[4]]\n",
       "[1] 1 0 1 0\n",
       "\n",
       "$values[[5]]\n",
       "[1] 0 0 0 1\n",
       "\n"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data(environmentsTh17iTreg)\n",
    "environments <- environmentsTh17iTreg\n",
    "environments"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The function __perturbNetworkFixedNodes__ can simulate multiple fixed genes if we pass them as a vector inside a list. For example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>All.basinSize</th><th scope=col>pro-Th0.basinSize</th><th scope=col>pro-Th17.basinSize</th><th scope=col>pro-iTreg.basinSize</th><th scope=col>pro-IL10.basinSize</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>0</th><td>27</td><td>27</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>1</th><td>2</td><td>2</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>1008</th><td>47</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>1009/1016</th><td>12</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>1017</th><td>5</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>112</th><td>3</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>113/120</th><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>121</th><td>1</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>129</th><td>2</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>132</th><td>54</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>16</th><td>13</td><td>13</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>176</th><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>192/197</th><td>36</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>193</th><td>2</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>196</th><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>217</th><td>10</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>240</th><td>3</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>241/248</th><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>249</th><td>1</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>272</th><td>26</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>278</th><td>14</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>304</th><td>24</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>338/341</th><td>6</td><td>NA</td><td>NA</td><td>6</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>342</th><td>8</td><td>NA</td><td>NA</td><td>8</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>345</th><td>26</td><td>NA</td><td>NA</td><td>26</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>368</th><td>19</td><td>NA</td><td>NA</td><td>19</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>369/376</th><td>4</td><td>NA</td><td>NA</td><td>4</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>377</th><td>1</td><td>NA</td><td>NA</td><td>1</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>14</td><td>14</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>406</th><td>40</td><td>NA</td><td>40</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>432</th><td>24</td><td>NA</td><td>24</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>466/469</th><td>20</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>470</th><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>473</th><td>12</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>48</th><td>8</td><td>8</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>496</th><td>19</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>497/504</th><td>4</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>505</th><td>1</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>544</th><td>43</td><td>NA</td><td>NA</td><td>NA</td><td>43</td></tr>\n",
       "\t<tr><th scope=row>560</th><td>21</td><td>NA</td><td>NA</td><td>NA</td><td>21</td></tr>\n",
       "\t<tr><th scope=row>608</th><td>43</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>624</th><td>3</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>625/632</th><td>13</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>633</th><td>5</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>65</th><td>35</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>672</th><td>46</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>68</th><td>8</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>688</th><td>18</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>736</th><td>46</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>752</th><td>3</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>753/760</th><td>10</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>761</th><td>5</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>816</th><td>64</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>880</th><td>43</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>881/888</th><td>16</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>889</th><td>5</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>89</th><td>13</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "\t<tr><th scope=row>944</th><td>64</td><td>NA</td><td>NA</td><td>NA</td><td>NA</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllll}\n",
       "  & All.basinSize & pro-Th0.basinSize & pro-Th17.basinSize & pro-iTreg.basinSize & pro-IL10.basinSize\\\\\n",
       "\\hline\n",
       "\t0 & 27 & 27 & NA & NA & NA\\\\\n",
       "\t1 & 2 & 2 & NA & NA & NA\\\\\n",
       "\t1008 & 47 & NA & NA & NA & NA\\\\\n",
       "\t1009/1016 & 12 & NA & NA & NA & NA\\\\\n",
       "\t1017 & 5 & NA & NA & NA & NA\\\\\n",
       "\t112 & 3 & NA & NA & NA & NA\\\\\n",
       "\t113/120 & 4 & NA & NA & NA & NA\\\\\n",
       "\t121 & 1 & NA & NA & NA & NA\\\\\n",
       "\t129 & 2 & NA & NA & NA & NA\\\\\n",
       "\t132 & 54 & NA & NA & NA & NA\\\\\n",
       "\t16 & 13 & 13 & NA & NA & NA\\\\\n",
       "\t176 & 8 & NA & NA & NA & NA\\\\\n",
       "\t192/197 & 36 & NA & NA & NA & NA\\\\\n",
       "\t193 & 2 & NA & NA & NA & NA\\\\\n",
       "\t196 & 8 & NA & NA & NA & NA\\\\\n",
       "\t217 & 10 & NA & NA & NA & NA\\\\\n",
       "\t240 & 3 & NA & NA & NA & NA\\\\\n",
       "\t241/248 & 4 & NA & NA & NA & NA\\\\\n",
       "\t249 & 1 & NA & NA & NA & NA\\\\\n",
       "\t272 & 26 & NA & NA & NA & NA\\\\\n",
       "\t278 & 14 & NA & NA & NA & NA\\\\\n",
       "\t304 & 24 & NA & NA & NA & NA\\\\\n",
       "\t338/341 & 6 & NA & NA & 6 & NA\\\\\n",
       "\t342 & 8 & NA & NA & 8 & NA\\\\\n",
       "\t345 & 26 & NA & NA & 26 & NA\\\\\n",
       "\t368 & 19 & NA & NA & 19 & NA\\\\\n",
       "\t369/376 & 4 & NA & NA & 4 & NA\\\\\n",
       "\t377 & 1 & NA & NA & 1 & NA\\\\\n",
       "\t4 & 14 & 14 & NA & NA & NA\\\\\n",
       "\t406 & 40 & NA & 40 & NA & NA\\\\\n",
       "\t432 & 24 & NA & 24 & NA & NA\\\\\n",
       "\t466/469 & 20 & NA & NA & NA & NA\\\\\n",
       "\t470 & 8 & NA & NA & NA & NA\\\\\n",
       "\t473 & 12 & NA & NA & NA & NA\\\\\n",
       "\t48 & 8 & 8 & NA & NA & NA\\\\\n",
       "\t496 & 19 & NA & NA & NA & NA\\\\\n",
       "\t497/504 & 4 & NA & NA & NA & NA\\\\\n",
       "\t505 & 1 & NA & NA & NA & NA\\\\\n",
       "\t544 & 43 & NA & NA & NA & 43\\\\\n",
       "\t560 & 21 & NA & NA & NA & 21\\\\\n",
       "\t608 & 43 & NA & NA & NA & NA\\\\\n",
       "\t624 & 3 & NA & NA & NA & NA\\\\\n",
       "\t625/632 & 13 & NA & NA & NA & NA\\\\\n",
       "\t633 & 5 & NA & NA & NA & NA\\\\\n",
       "\t65 & 35 & NA & NA & NA & NA\\\\\n",
       "\t672 & 46 & NA & NA & NA & NA\\\\\n",
       "\t68 & 8 & NA & NA & NA & NA\\\\\n",
       "\t688 & 18 & NA & NA & NA & NA\\\\\n",
       "\t736 & 46 & NA & NA & NA & NA\\\\\n",
       "\t752 & 3 & NA & NA & NA & NA\\\\\n",
       "\t753/760 & 10 & NA & NA & NA & NA\\\\\n",
       "\t761 & 5 & NA & NA & NA & NA\\\\\n",
       "\t816 & 64 & NA & NA & NA & NA\\\\\n",
       "\t880 & 43 & NA & NA & NA & NA\\\\\n",
       "\t881/888 & 16 & NA & NA & NA & NA\\\\\n",
       "\t889 & 5 & NA & NA & NA & NA\\\\\n",
       "\t89 & 13 & NA & NA & NA & NA\\\\\n",
       "\t944 & 64 & NA & NA & NA & NA\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "          All.basinSize pro-Th0.basinSize pro-Th17.basinSize\n",
       "0                    27                27                 NA\n",
       "1                     2                 2                 NA\n",
       "1008                 47                NA                 NA\n",
       "1009/1016            12                NA                 NA\n",
       "1017                  5                NA                 NA\n",
       "112                   3                NA                 NA\n",
       "113/120               4                NA                 NA\n",
       "121                   1                NA                 NA\n",
       "129                   2                NA                 NA\n",
       "132                  54                NA                 NA\n",
       "16                   13                13                 NA\n",
       "176                   8                NA                 NA\n",
       "192/197              36                NA                 NA\n",
       "193                   2                NA                 NA\n",
       "196                   8                NA                 NA\n",
       "217                  10                NA                 NA\n",
       "240                   3                NA                 NA\n",
       "241/248               4                NA                 NA\n",
       "249                   1                NA                 NA\n",
       "272                  26                NA                 NA\n",
       "278                  14                NA                 NA\n",
       "304                  24                NA                 NA\n",
       "338/341               6                NA                 NA\n",
       "342                   8                NA                 NA\n",
       "345                  26                NA                 NA\n",
       "368                  19                NA                 NA\n",
       "369/376               4                NA                 NA\n",
       "377                   1                NA                 NA\n",
       "4                    14                14                 NA\n",
       "406                  40                NA                 40\n",
       "432                  24                NA                 24\n",
       "466/469              20                NA                 NA\n",
       "470                   8                NA                 NA\n",
       "473                  12                NA                 NA\n",
       "48                    8                 8                 NA\n",
       "496                  19                NA                 NA\n",
       "497/504               4                NA                 NA\n",
       "505                   1                NA                 NA\n",
       "544                  43                NA                 NA\n",
       "560                  21                NA                 NA\n",
       "608                  43                NA                 NA\n",
       "624                   3                NA                 NA\n",
       "625/632              13                NA                 NA\n",
       "633                   5                NA                 NA\n",
       "65                   35                NA                 NA\n",
       "672                  46                NA                 NA\n",
       "68                    8                NA                 NA\n",
       "688                  18                NA                 NA\n",
       "736                  46                NA                 NA\n",
       "752                   3                NA                 NA\n",
       "753/760              10                NA                 NA\n",
       "761                   5                NA                 NA\n",
       "816                  64                NA                 NA\n",
       "880                  43                NA                 NA\n",
       "881/888              16                NA                 NA\n",
       "889                   5                NA                 NA\n",
       "89                   13                NA                 NA\n",
       "944                  64                NA                 NA\n",
       "          pro-iTreg.basinSize pro-IL10.basinSize\n",
       "0                          NA                 NA\n",
       "1                          NA                 NA\n",
       "1008                       NA                 NA\n",
       "1009/1016                  NA                 NA\n",
       "1017                       NA                 NA\n",
       "112                        NA                 NA\n",
       "113/120                    NA                 NA\n",
       "121                        NA                 NA\n",
       "129                        NA                 NA\n",
       "132                        NA                 NA\n",
       "16                         NA                 NA\n",
       "176                        NA                 NA\n",
       "192/197                    NA                 NA\n",
       "193                        NA                 NA\n",
       "196                        NA                 NA\n",
       "217                        NA                 NA\n",
       "240                        NA                 NA\n",
       "241/248                    NA                 NA\n",
       "249                        NA                 NA\n",
       "272                        NA                 NA\n",
       "278                        NA                 NA\n",
       "304                        NA                 NA\n",
       "338/341                     6                 NA\n",
       "342                         8                 NA\n",
       "345                        26                 NA\n",
       "368                        19                 NA\n",
       "369/376                     4                 NA\n",
       "377                         1                 NA\n",
       "4                          NA                 NA\n",
       "406                        NA                 NA\n",
       "432                        NA                 NA\n",
       "466/469                    NA                 NA\n",
       "470                        NA                 NA\n",
       "473                        NA                 NA\n",
       "48                         NA                 NA\n",
       "496                        NA                 NA\n",
       "497/504                    NA                 NA\n",
       "505                        NA                 NA\n",
       "544                        NA                 43\n",
       "560                        NA                 21\n",
       "608                        NA                 NA\n",
       "624                        NA                 NA\n",
       "625/632                    NA                 NA\n",
       "633                        NA                 NA\n",
       "65                         NA                 NA\n",
       "672                        NA                 NA\n",
       "68                         NA                 NA\n",
       "688                        NA                 NA\n",
       "736                        NA                 NA\n",
       "752                        NA                 NA\n",
       "753/760                    NA                 NA\n",
       "761                        NA                 NA\n",
       "816                        NA                 NA\n",
       "880                        NA                 NA\n",
       "881/888                    NA                 NA\n",
       "889                        NA                 NA\n",
       "89                         NA                 NA\n",
       "944                        NA                 NA"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "env.attr <- perturbNetworkFixedNodes(net, environments$nodes, environments$value, environments$label)\n",
    "env.attr"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now lets label and group accoding to the label."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>All</th><th scope=col>pro-Th0</th><th scope=col>pro-Th17</th><th scope=col>pro-iTreg</th><th scope=col>pro-IL10</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>Th0</th><td>152</td><td> 43</td><td>  0</td><td>  0</td><td>  0</td></tr>\n",
       "\t<tr><th scope=row>Th17</th><td>70</td><td> 0</td><td>40</td><td> 8</td><td> 0</td></tr>\n",
       "\t<tr><th scope=row>Treg</th><td>61</td><td> 0</td><td> 0</td><td>26</td><td> 0</td></tr>\n",
       "\t<tr><th scope=row>TregIL10+</th><td>24</td><td> 0</td><td> 0</td><td> 1</td><td> 0</td></tr>\n",
       "\t<tr><th scope=row>IL10+</th><td>178</td><td>  0</td><td>  0</td><td>  0</td><td> 43</td></tr>\n",
       "\t<tr><th scope=row>TGFB+</th><td>39</td><td>13</td><td> 0</td><td> 0</td><td> 0</td></tr>\n",
       "\t<tr><th scope=row>IL10+TGFB+</th><td>371</td><td>  8</td><td> 24</td><td> 19</td><td> 21</td></tr>\n",
       "\t<tr><th scope=row>Th0/Th0</th><td>36</td><td> 0</td><td> 0</td><td> 0</td><td> 0</td></tr>\n",
       "\t<tr><th scope=row>RORGT+/TGFB+</th><td>26</td><td> 0</td><td> 0</td><td> 6</td><td> 0</td></tr>\n",
       "\t<tr><th scope=row>IL10+TGFB+/TregIL10+</th><td>67</td><td> 0</td><td> 0</td><td> 4</td><td> 0</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|lllll}\n",
       "  & All & pro-Th0 & pro-Th17 & pro-iTreg & pro-IL10\\\\\n",
       "\\hline\n",
       "\tTh0 & 152 &  43 &   0 &   0 &   0\\\\\n",
       "\tTh17 & 70 &  0 & 40 &  8 &  0\\\\\n",
       "\tTreg & 61 &  0 &  0 & 26 &  0\\\\\n",
       "\tTregIL10+ & 24 &  0 &  0 &  1 &  0\\\\\n",
       "\tIL10+ & 178 &   0 &   0 &   0 &  43\\\\\n",
       "\tTGFB+ & 39 & 13 &  0 &  0 &  0\\\\\n",
       "\tIL10+TGFB+ & 371 &   8 &  24 &  19 &  21\\\\\n",
       "\tTh0/Th0 & 36 &  0 &  0 &  0 &  0\\\\\n",
       "\tRORGT+/TGFB+ & 26 &  0 &  0 &  6 &  0\\\\\n",
       "\tIL10+TGFB+/TregIL10+ & 67 &  0 &  0 &  4 &  0\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "1. 152\n",
       "2. 70\n",
       "3. 61\n",
       "4. 24\n",
       "5. 178\n",
       "6. 39\n",
       "7. 371\n",
       "8. 36\n",
       "9. 26\n",
       "10. 67\n",
       "11. 43\n",
       "12. 0\n",
       "13. 0\n",
       "14. 0\n",
       "15. 0\n",
       "16. 13\n",
       "17. 8\n",
       "18. 0\n",
       "19. 0\n",
       "20. 0\n",
       "21. 0\n",
       "22. 40\n",
       "23. 0\n",
       "24. 0\n",
       "25. 0\n",
       "26. 0\n",
       "27. 24\n",
       "28. 0\n",
       "29. 0\n",
       "30. 0\n",
       "31. 0\n",
       "32. 8\n",
       "33. 26\n",
       "34. 1\n",
       "35. 0\n",
       "36. 0\n",
       "37. 19\n",
       "38. 0\n",
       "39. 6\n",
       "40. 4\n",
       "41. 0\n",
       "42. 0\n",
       "43. 0\n",
       "44. 0\n",
       "45. 43\n",
       "46. 0\n",
       "47. 21\n",
       "48. 0\n",
       "49. 0\n",
       "50. 0\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "                     All pro-Th0 pro-Th17 pro-iTreg pro-IL10\n",
       "Th0                  152      43        0         0        0\n",
       "Th17                  70       0       40         8        0\n",
       "Treg                  61       0        0        26        0\n",
       "TregIL10+             24       0        0         1        0\n",
       "IL10+                178       0        0         0       43\n",
       "TGFB+                 39      13        0         0        0\n",
       "IL10+TGFB+           371       8       24        19       21\n",
       "Th0/Th0               36       0        0         0        0\n",
       "RORGT+/TGFB+          26       0        0         6        0\n",
       "IL10+TGFB+/TregIL10+  67       0        0         4        0"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# label attractors\n",
    "env.attr$label <- unlist(lapply(rownames(env.attr), function(states) {\n",
    "    states <- as.numeric(unlist(strsplit(states, \"/\")))\n",
    "    label <- lapply(states, function(s) {\n",
    "        s <- int2binState(s, net$genes)\n",
    "        l <- labelState(s, net$genes, labels.rules$labels, labels.rules$rules)\n",
    "    })  \n",
    "    label <- paste(label, collapse='/')\n",
    "}))\n",
    "\n",
    "# group by label\n",
    "env.attr[is.na(env.attr)] <- 0 # NAs to 0\n",
    "env.attr.by.label <- by(env.attr[, 1:(length(env.attr)-1)], env.attr$label, colSums) #colSums by label\n",
    "env.attr.by.label <- t(sapply(env.attr.by.label, function(label) label )) #simplify and transpose\n",
    "#env.attr.by.label\n",
    "\n",
    "# rename and order\n",
    "colnames(env.attr.by.label) <- lapply(colnames(env.attr.by.label), function(s) {\n",
    "    unlist(strsplit(s, split='.', fixed=TRUE))[1]\n",
    "})\n",
    "env.attr.by.label <- env.attr.by.label[ c(\n",
    "    'Th0', 'Th17', 'Treg', 'TregIL10+', 'IL10+', 'TGFB+', 'IL10+TGFB+', \n",
    "    'Th0/Th0', 'RORGT+/TGFB+', 'IL10+TGFB+/TregIL10+') , ]\n",
    "env.attr.by.label"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Lets plot this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "plot without title"
      ]
     },
     "metadata": {
      "image/svg+xml": {
       "isolated": true
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "env.attr.by.label.matrix <- data.matrix(env.attr.by.label) #convert to matrix\n",
    "env.attr.by.label.matrix[env.attr.by.label.matrix==0] <- NA #replace 0s for NAs\n",
    "colfunc <- colorRampPalette(c(\"cyan\", \"darkblue\")) #nice color scale\n",
    "env.attr.heatmap <- heatmap(env.attr.by.label.matrix,  # the heatmap\n",
    "                            Rowv=NA, Colv=NA, \n",
    "                            col= colfunc(10),\n",
    "                            scale=\"column\", margins=c(25,25))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, some cell types are highly dependent of the environment (Th0, iTreg, IL10+, TGFB+), some are highly robust to changes in the environment (IL10+TGFB+), while other cell-types are intermediate (Th17). Studing the effect of the inputs in the attractors lets us predict which cell types we will see in the biologicaly significant environments."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------------------------------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "However, this study only lets us see which cell types are stable in a specific environment. In biologycal systems, the environment of a cell can chamge, inducing differentiation and plasticity. An example of this cell differentiation, where cells change their expression patern in response to changes in the environment."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To study the differentiation of Th cells we can:\n",
    "1. Take an attractors labeled as Th0\n",
    "2. Change the value of the input nodes to simulate a change in the environment.\n",
    "3. Obtain attractor of modified network.\n",
    "4. Compare with the original attractor.\n",
    "\n",
    "We will use the function __perturbPathToAttractor()__. This function takes an inital state, a network, and a set of nodes and values to perturb, and returns the resulting attractor.\n",
    "\n",
    "For example, lets take the Th0 attractor 0 and move it to a pro-Th17 environment."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "'Th0'"
      ],
      "text/latex": [
       "'Th0'"
      ],
      "text/markdown": [
       "'Th0'"
      ],
      "text/plain": [
       "[1] \"Th0\""
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "'Th17'"
      ],
      "text/latex": [
       "'Th17'"
      ],
      "text/markdown": [
       "'Th17'"
      ],
      "text/plain": [
       "[1] \"Th17\""
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "state <- int2binState(0, net$genes)\n",
    "state.label <- labelState(state, net$genes, labels.rules$labels, labels.rules$rules)\n",
    "state.label\n",
    "\n",
    "new.state <- perturbPathToAttractor(state, net, \n",
    "                c('IL2e', 'IL21e', 'TGFBe', 'IL10e'), c(0,1,1,0))\n",
    "new.state <- int2binState(new.state$attractors[[1]]$involvedStates, net$genes)\n",
    "new.state.label <- labelState(new.state, net$genes, labels.rules$labels, labels.rules$rules)\n",
    "new.state.label"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As you can see changing the environment towards Th17 causes the differentiation of a Th0 cell into a Th17 cell. We can see the trajectory of this event."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>IL2</th><th scope=col>RORGT</th><th scope=col>STAT3</th><th scope=col>FOXP3</th><th scope=col>TGFB</th><th scope=col>IL10</th><th scope=col>IL2e</th><th scope=col>IL21e</th><th scope=col>TGFBe</th><th scope=col>IL10e</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>0</td><td>1</td><td>1</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>0</td><td>0</td><td>1</td><td>0</td><td>1</td><td>0</td><td>0</td><td>1</td><td>1</td><td>0</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>0</td><td>1</td><td>1</td><td>0</td><td>1</td><td>0</td><td>0</td><td>1</td><td>1</td><td>0</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llllllllll}\n",
       "  & IL2 & RORGT & STAT3 & FOXP3 & TGFB & IL10 & IL2e & IL21e & TGFBe & IL10e\\\\\n",
       "\\hline\n",
       "\t1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0\\\\\n",
       "\t2 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & 1 & 0\\\\\n",
       "\t3 & 0 & 0 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0\\\\\n",
       "\t4 & 0 & 1 & 1 & 0 & 1 & 0 & 0 & 1 & 1 & 0\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/markdown": [
       "1. 0\n",
       "2. 0\n",
       "3. 0\n",
       "4. 0\n",
       "5. 0\n",
       "6. 0\n",
       "7. 0\n",
       "8. 1\n",
       "9. 0\n",
       "10. 0\n",
       "11. 1\n",
       "12. 1\n",
       "13. 0\n",
       "14. 0\n",
       "15. 0\n",
       "16. 0\n",
       "17. 0\n",
       "18. 0\n",
       "19. 1\n",
       "20. 1\n",
       "21. 0\n",
       "22. 0\n",
       "23. 0\n",
       "24. 0\n",
       "25. 0\n",
       "26. 0\n",
       "27. 0\n",
       "28. 0\n",
       "29. 0\n",
       "30. 1\n",
       "31. 1\n",
       "32. 1\n",
       "33. 0\n",
       "34. 1\n",
       "35. 1\n",
       "36. 1\n",
       "37. 0\n",
       "38. 0\n",
       "39. 0\n",
       "40. 0\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "  IL2 RORGT STAT3 FOXP3 TGFB IL10 IL2e IL21e TGFBe IL10e\n",
       "1   0     0     0     0    0    0    0     0     0     0\n",
       "2   0     0     0     0    0    0    0     1     1     0\n",
       "3   0     0     1     0    1    0    0     1     1     0\n",
       "4   0     1     1     0    1    0    0     1     1     0"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "new.traj <- perturbPathToAttractor(state, net, \n",
    "                c('IL2e', 'IL21e', 'TGFBe', 'IL10e'), c(0,1,1,0),\n",
    "                returnTrajectory = TRUE)\n",
    "new.traj"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use this method to study the differentiation of all Th0 attractors in the different environments (pro-Th0, pro-Th17, pro-iTreg and pro-IL10)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we need to separate the Th0 attractors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'0'</li>\n",
       "\t<li>'1'</li>\n",
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       "\t<li>'65'</li>\n",
       "\t<li>'68'</li>\n",
       "\t<li>'132'</li>\n",
       "\t<li>'129'</li>\n",
       "\t<li>'193'</li>\n",
       "\t<li>'196'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item '0'\n",
       "\\item '1'\n",
       "\\item '4'\n",
       "\\item '65'\n",
       "\\item '68'\n",
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       "\\item '129'\n",
       "\\item '193'\n",
       "\\item '196'\n",
       "\\end{enumerate*}\n"
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      "text/markdown": [
       "1. '0'\n",
       "2. '1'\n",
       "3. '4'\n",
       "4. '65'\n",
       "5. '68'\n",
       "6. '132'\n",
       "7. '129'\n",
       "8. '193'\n",
       "9. '196'\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1] \"0\"   \"1\"   \"4\"   \"65\"  \"68\"  \"132\" \"129\" \"193\" \"196\""
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>0</li>\n",
       "\t<li>1</li>\n",
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       "\t<li>65</li>\n",
       "\t<li>68</li>\n",
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       "\t<li>129</li>\n",
       "\t<li>193</li>\n",
       "\t<li>196</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item 0\n",
       "\\item 1\n",
       "\\item 4\n",
       "\\item 65\n",
       "\\item 68\n",
       "\\item 132\n",
       "\\item 129\n",
       "\\item 193\n",
       "\\item 196\n",
       "\\end{enumerate*}\n"
      ],
      "text/markdown": [
       "1. 0\n",
       "2. 1\n",
       "3. 4\n",
       "4. 65\n",
       "5. 68\n",
       "6. 132\n",
       "7. 129\n",
       "8. 193\n",
       "9. 196\n",
       "\n",
       "\n"
      ],
      "text/plain": [
       "[1]   0   1   4  65  68 132 129 193 196"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "attr.Th0 <- WT.attr.df$involvedStates[which(WT.attr.df$label==\"Th0\")]\n",
    "attr.Th0\n",
    "attr.Th0 <- as.integer(attr.Th0)\n",
    "attr.Th0 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now we will iterate all Th0 attractors with all environments, use __perturbPathToAttractor__ and save the resulting attractor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# create data frame\n",
    "transitions <- data.frame(matrix(NA, \n",
    "                    nrow = length(attr.Th0), \n",
    "                    ncol = length(environments$label)-1 ),\n",
    "                    stringsAsFactors=FALSE )\n",
    "colnames(transitions) <- environments$label[2:length(environments$label)]\n",
    "rownames(transitions) <- attr.Th0\n",
    "#transitions[\"pro-Th0\"]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>pro-Th0</th><th scope=col>pro-Th17</th><th scope=col>pro-iTreg</th><th scope=col>pro-IL10</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>0</th><td>0</td><td>406</td><td>345</td><td>544</td></tr>\n",
       "\t<tr><th scope=row>1</th><td>1</td><td>406</td><td>345</td><td>544</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>4</td><td>406</td><td>342</td><td>544</td></tr>\n",
       "\t<tr><th scope=row>65</th><td>1</td><td>406</td><td>345</td><td>544</td></tr>\n",
       "\t<tr><th scope=row>68</th><td>4</td><td>406</td><td>342</td><td>544</td></tr>\n",
       "\t<tr><th scope=row>132</th><td>4</td><td>406</td><td>342</td><td>544</td></tr>\n",
       "\t<tr><th scope=row>129</th><td>1</td><td>406</td><td>345</td><td>544</td></tr>\n",
       "\t<tr><th scope=row>193</th><td>1</td><td>406</td><td>345</td><td>544</td></tr>\n",
       "\t<tr><th scope=row>196</th><td>4</td><td>406</td><td>342</td><td>544</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llll}\n",
       "  & pro-Th0 & pro-Th17 & pro-iTreg & pro-IL10\\\\\n",
       "\\hline\n",
       "\t0 & 0 & 406 & 345 & 544\\\\\n",
       "\t1 & 1 & 406 & 345 & 544\\\\\n",
       "\t4 & 4 & 406 & 342 & 544\\\\\n",
       "\t65 & 1 & 406 & 345 & 544\\\\\n",
       "\t68 & 4 & 406 & 342 & 544\\\\\n",
       "\t132 & 4 & 406 & 342 & 544\\\\\n",
       "\t129 & 1 & 406 & 345 & 544\\\\\n",
       "\t193 & 1 & 406 & 345 & 544\\\\\n",
       "\t196 & 4 & 406 & 342 & 544\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "    pro-Th0 pro-Th17 pro-iTreg pro-IL10\n",
       "0         0      406       345      544\n",
       "1         1      406       345      544\n",
       "4         4      406       342      544\n",
       "65        1      406       345      544\n",
       "68        4      406       342      544\n",
       "132       4      406       342      544\n",
       "129       1      406       345      544\n",
       "193       1      406       345      544\n",
       "196       4      406       342      544"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# iterate environments and Th0 states\n",
    "for (i in 2:length(environments$label)) {\n",
    "    transitions[environments$label[[i]]] <-sapply(attr.Th0, function(state) {\n",
    "        state <- int2binState(as.integer(state), net$genes)\n",
    "        new.state <- perturbPathToAttractor(state, net, \n",
    "                        environments$nodes[[i]], environments$values[[i]])\n",
    "        new.state <- new.state$attractors[[1]]$involvedStates\n",
    "        new.state\n",
    "    }) \n",
    "}\n",
    "transitions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we can see, in an environment most Th0 cells tend to converge towards a single attractor.\n",
    "\n",
    "Now, lets label this states."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>pro.Th0</th><th scope=col>pro.Th17</th><th scope=col>pro.iTreg</th><th scope=col>pro.IL10</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>Th0</td><td>Th17</td><td>Treg</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>Th0</td><td>Th17</td><td>Treg</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>Th0</td><td>Th17</td><td>Th17</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>Th0</td><td>Th17</td><td>Treg</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>Th0</td><td>Th17</td><td>Th17</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>Th0</td><td>Th17</td><td>Th17</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>7</th><td>Th0</td><td>Th17</td><td>Treg</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>Th0</td><td>Th17</td><td>Treg</td><td>IL10+</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>Th0</td><td>Th17</td><td>Th17</td><td>IL10+</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|llll}\n",
       "  & pro.Th0 & pro.Th17 & pro.iTreg & pro.IL10\\\\\n",
       "\\hline\n",
       "\t1 & Th0 & Th17 & Treg & IL10+\\\\\n",
       "\t2 & Th0 & Th17 & Treg & IL10+\\\\\n",
       "\t3 & Th0 & Th17 & Th17 & IL10+\\\\\n",
       "\t4 & Th0 & Th17 & Treg & IL10+\\\\\n",
       "\t5 & Th0 & Th17 & Th17 & IL10+\\\\\n",
       "\t6 & Th0 & Th17 & Th17 & IL10+\\\\\n",
       "\t7 & Th0 & Th17 & Treg & IL10+\\\\\n",
       "\t8 & Th0 & Th17 & Treg & IL10+\\\\\n",
       "\t9 & Th0 & Th17 & Th17 & IL10+\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "  pro.Th0 pro.Th17 pro.iTreg pro.IL10\n",
       "1     Th0     Th17      Treg    IL10+\n",
       "2     Th0     Th17      Treg    IL10+\n",
       "3     Th0     Th17      Th17    IL10+\n",
       "4     Th0     Th17      Treg    IL10+\n",
       "5     Th0     Th17      Th17    IL10+\n",
       "6     Th0     Th17      Th17    IL10+\n",
       "7     Th0     Th17      Treg    IL10+\n",
       "8     Th0     Th17      Treg    IL10+\n",
       "9     Th0     Th17      Th17    IL10+"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "transitions.labels <- as.data.frame(lapply(transitions, function(env) {\n",
    "    sapply(env, function(state) {\n",
    "        state <- int2binState(state, net$genes)\n",
    "        labelState(state, net$genes, labels.rules$labels, labels.rules$rules)\n",
    "    })\n",
    "}))\n",
    "transitions.labels"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Biological explanation\n",
    "Differentiation is ighly sensible to polaring environments\n",
    "Sometimes inital conditions can affect the attractor\n",
    "Coexistance of Th17/iTreg has implications for chronic inflamation\n",
    "This can be done for all environments!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Truth tables\n",
    "\n",
    "Trough evolution the regulatory interactions of an organism can change. This changes are not always loss-of-function mutations or over-expressions, they can also be smaller changes in the regulatory function. For example, the regulatory sequence of a gene can be altered or a new element can be added (or lost)\\cite{Carlos???}, or a positive interaction can become negative. However, this changes can also occur during the life of an organism: changes in the epigenetic marks, disordered domain proteins, and alternate spliccing can alter the regulatory functions\\cite{Newman2014}. Finally, it is possible that there are mistakes in the construction of the network.\n",
    "\n",
    "This changes usually affect only part of the regulatory function. Verifing the robustness of the attractors in response to small changes in the functions is fundamental for validating the network and for understanding the evolvability of biological systems."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To do this we will use truth tables. Truth tables are a representation of Boolean functions. They have one column for each input variable, and one final column for all of the possible results of the logical operation that the table is meant to represent.\n",
    "\n",
    "For example, the funtion:\n",
    "> C = A and not B\n",
    "\n",
    "Can be represented as:\n",
    "\n",
    "\n",
    "| A | B | C |\n",
    "|---|---|---|\n",
    "| 0 | 0 | 0 |\n",
    "| 0 | 1 | 0 |\n",
    "| 1 | 0 | 1 |\n",
    "| 1 | 1 | 0 |\n",
    "\n",
    "We can perturb this table by changing one of the values of the truth table.\n",
    "\n",
    "| A | B | C* |\n",
    "|---|---|---|\n",
    "| 0 | 0 | 0 |\n",
    "| 0 | 1 | __1__ |\n",
    "| 1 | 0 | 1 |\n",
    "| 1 | 1 | 0 |\n",
    "\n",
    "This new table corresponds to the function:\n",
    "\n",
    "> C = A xor B\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can do simulate this function perturbations using the BoolNet function __perturbNetwork()__."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table>\n",
       "<thead><tr><th></th><th scope=col>involvedStates</th><th scope=col>basinSize</th></tr></thead>\n",
       "<tbody>\n",
       "\t<tr><th scope=row>1</th><td>16</td><td>42</td></tr>\n",
       "\t<tr><th scope=row>2</th><td>4</td><td>14</td></tr>\n",
       "\t<tr><th scope=row>3</th><td>48</td><td>8</td></tr>\n",
       "\t<tr><th scope=row>4</th><td>89</td><td>42</td></tr>\n",
       "\t<tr><th scope=row>5</th><td>68</td><td>8</td></tr>\n",
       "\t<tr><th scope=row>6</th><td>112</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>7</th><td>121</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>8</th><td>132</td><td>56</td></tr>\n",
       "\t<tr><th scope=row>9</th><td>176</td><td>8</td></tr>\n",
       "\t<tr><th scope=row>10</th><td>217</td><td>12</td></tr>\n",
       "\t<tr><th scope=row>11</th><td>196</td><td>8</td></tr>\n",
       "\t<tr><th scope=row>12</th><td>240</td><td>3</td></tr>\n",
       "\t<tr><th scope=row>13</th><td>249</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>14</th><td>272</td><td>26</td></tr>\n",
       "\t<tr><th scope=row>15</th><td>278</td><td>14</td></tr>\n",
       "\t<tr><th scope=row>16</th><td>304</td><td>24</td></tr>\n",
       "\t<tr><th scope=row>17</th><td>345</td><td>26</td></tr>\n",
       "\t<tr><th scope=row>18</th><td>342</td><td>8</td></tr>\n",
       "\t<tr><th scope=row>19</th><td>368</td><td>19</td></tr>\n",
       "\t<tr><th scope=row>20</th><td>377</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>21</th><td>406</td><td>40</td></tr>\n",
       "\t<tr><th scope=row>22</th><td>432</td><td>24</td></tr>\n",
       "\t<tr><th scope=row>23</th><td>473</td><td>12</td></tr>\n",
       "\t<tr><th scope=row>24</th><td>470</td><td>8</td></tr>\n",
       "\t<tr><th scope=row>25</th><td>496</td><td>19</td></tr>\n",
       "\t<tr><th scope=row>26</th><td>505</td><td>1</td></tr>\n",
       "\t<tr><th scope=row>27</th><td>560</td><td>64</td></tr>\n",
       "\t<tr><th scope=row>28</th><td>624</td><td>43</td></tr>\n",
       "\t<tr><th scope=row>29</th><td>633</td><td>5</td></tr>\n",
       "\t<tr><th scope=row>30</th><td>688</td><td>64</td></tr>\n",
       "\t<tr><th scope=row>31</th><td>752</td><td>47</td></tr>\n",
       "\t<tr><th scope=row>32</th><td>761</td><td>5</td></tr>\n",
       "\t<tr><th scope=row>33</th><td>816</td><td>64</td></tr>\n",
       "\t<tr><th scope=row>34</th><td>880</td><td>43</td></tr>\n",
       "\t<tr><th scope=row>35</th><td>889</td><td>5</td></tr>\n",
       "\t<tr><th scope=row>36</th><td>944</td><td>64</td></tr>\n",
       "\t<tr><th scope=row>37</th><td>1008</td><td>47</td></tr>\n",
       "\t<tr><th scope=row>38</th><td>1017</td><td>5</td></tr>\n",
       "\t<tr><th scope=row>39</th><td>66/85</td><td>6</td></tr>\n",
       "\t<tr><th scope=row>40</th><td>113/120</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>41</th><td>194/213</td><td>36</td></tr>\n",
       "\t<tr><th scope=row>42</th><td>241/248</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>43</th><td>338/341</td><td>6</td></tr>\n",
       "\t<tr><th scope=row>44</th><td>369/376</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>45</th><td>466/469</td><td>20</td></tr>\n",
       "\t<tr><th scope=row>46</th><td>497/504</td><td>4</td></tr>\n",
       "\t<tr><th scope=row>47</th><td>625/632</td><td>16</td></tr>\n",
       "\t<tr><th scope=row>48</th><td>753/760</td><td>12</td></tr>\n",
       "\t<tr><th scope=row>49</th><td>881/888</td><td>16</td></tr>\n",
       "\t<tr><th scope=row>50</th><td>1009/1016</td><td>12</td></tr>\n",
       "</tbody>\n",
       "</table>\n"
      ],
      "text/latex": [
       "\\begin{tabular}{r|ll}\n",
       "  & involvedStates & basinSize\\\\\n",
       "\\hline\n",
       "\t1 & 16 & 42\\\\\n",
       "\t2 & 4 & 14\\\\\n",
       "\t3 & 48 & 8\\\\\n",
       "\t4 & 89 & 42\\\\\n",
       "\t5 & 68 & 8\\\\\n",
       "\t6 & 112 & 3\\\\\n",
       "\t7 & 121 & 1\\\\\n",
       "\t8 & 132 & 56\\\\\n",
       "\t9 & 176 & 8\\\\\n",
       "\t10 & 217 & 12\\\\\n",
       "\t11 & 196 & 8\\\\\n",
       "\t12 & 240 & 3\\\\\n",
       "\t13 & 249 & 1\\\\\n",
       "\t14 & 272 & 26\\\\\n",
       "\t15 & 278 & 14\\\\\n",
       "\t16 & 304 & 24\\\\\n",
       "\t17 & 345 & 26\\\\\n",
       "\t18 & 342 & 8\\\\\n",
       "\t19 & 368 & 19\\\\\n",
       "\t20 & 377 & 1\\\\\n",
       "\t21 & 406 & 40\\\\\n",
       "\t22 & 432 & 24\\\\\n",
       "\t23 & 473 & 12\\\\\n",
       "\t24 & 470 & 8\\\\\n",
       "\t25 & 496 & 19\\\\\n",
       "\t26 & 505 & 1\\\\\n",
       "\t27 & 560 & 64\\\\\n",
       "\t28 & 624 & 43\\\\\n",
       "\t29 & 633 & 5\\\\\n",
       "\t30 & 688 & 64\\\\\n",
       "\t31 & 752 & 47\\\\\n",
       "\t32 & 761 & 5\\\\\n",
       "\t33 & 816 & 64\\\\\n",
       "\t34 & 880 & 43\\\\\n",
       "\t35 & 889 & 5\\\\\n",
       "\t36 & 944 & 64\\\\\n",
       "\t37 & 1008 & 47\\\\\n",
       "\t38 & 1017 & 5\\\\\n",
       "\t39 & 66/85 & 6\\\\\n",
       "\t40 & 113/120 & 4\\\\\n",
       "\t41 & 194/213 & 36\\\\\n",
       "\t42 & 241/248 & 4\\\\\n",
       "\t43 & 338/341 & 6\\\\\n",
       "\t44 & 369/376 & 4\\\\\n",
       "\t45 & 466/469 & 20\\\\\n",
       "\t46 & 497/504 & 4\\\\\n",
       "\t47 & 625/632 & 16\\\\\n",
       "\t48 & 753/760 & 12\\\\\n",
       "\t49 & 881/888 & 16\\\\\n",
       "\t50 & 1009/1016 & 12\\\\\n",
       "\\end{tabular}\n"
      ],
      "text/plain": [
       "   involvedStates basinSize\n",
       "1              16        42\n",
       "2               4        14\n",
       "3              48         8\n",
       "4              89        42\n",
       "5              68         8\n",
       "6             112         3\n",
       "7             121         1\n",
       "8             132        56\n",
       "9             176         8\n",
       "10            217        12\n",
       "11            196         8\n",
       "12            240         3\n",
       "13            249         1\n",
       "14            272        26\n",
       "15            278        14\n",
       "16            304        24\n",
       "17            345        26\n",
       "18            342         8\n",
       "19            368        19\n",
       "20            377         1\n",
       "21            406        40\n",
       "22            432        24\n",
       "23            473        12\n",
       "24            470         8\n",
       "25            496        19\n",
       "26            505         1\n",
       "27            560        64\n",
       "28            624        43\n",
       "29            633         5\n",
       "30            688        64\n",
       "31            752        47\n",
       "32            761         5\n",
       "33            816        64\n",
       "34            880        43\n",
       "35            889         5\n",
       "36            944        64\n",
       "37           1008        47\n",
       "38           1017         5\n",
       "39          66/85         6\n",
       "40        113/120         4\n",
       "41        194/213        36\n",
       "42        241/248         4\n",
       "43        338/341         6\n",
       "44        369/376         4\n",
       "45        466/469        20\n",
       "46        497/504         4\n",
       "47        625/632        16\n",
       "48        753/760        12\n",
       "49        881/888        16\n",
       "50      1009/1016        12"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "perturbed.net <- perturbNetwork(net, perturb=\"functions\")\n",
    "pertubed.attr <- getAttractors(perturbed.net)\n",
    "pertubed.attr.df <- attractor2dataframe(pertubed.attr)\n",
    "pertubed.attr.df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can compare this results with the attractors of our WT network. Here we show the difference between the two sets of attractors. As __perturbNetwork()__ randomly changes a value of the table it is a good idea to repeat the experiment multiple times"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<ol class=list-inline>\n",
       "\t<li>'0'</li>\n",
       "\t<li>'1'</li>\n",
       "\t<li>'65'</li>\n",
       "\t<li>'129'</li>\n",
       "\t<li>'193'</li>\n",
       "\t<li>'544'</li>\n",
       "\t<li>'608'</li>\n",
       "\t<li>'672'</li>\n",
       "\t<li>'736'</li>\n",
       "\t<li>'192/197'</li>\n",
       "</ol>\n"
      ],
      "text/latex": [
       "\\begin{enumerate*}\n",
       "\\item '0'\n",
       "\\item '1'\n",
       "\\item '65'\n",
       "\\item '129'\n",
       "\\item '193'\n",
       "\\item '544'\n",
       "\\item '608'\n",
       "\\item '672'\n",
       "\\item '736'\n",
       "\\item '192/197'\n",
       "\\end{enumerate*}\n"
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      "text/markdown": [
       "1. '0'\n",
       "2. '1'\n",
       "3. '65'\n",
       "4. '129'\n",
       "5. '193'\n",
       "6. '544'\n",
       "7. '608'\n",
       "8. '672'\n",
       "9. '736'\n",
       "10. '192/197'\n",
       "\n",
       "\n"
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      "text/plain": [
       " [1] \"0\"       \"1\"       \"65\"      \"129\"     \"193\"     \"544\"     \"608\"    \n",
       " [8] \"672\"     \"736\"     \"192/197\""
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#intersect(WT.attr.df$involvedStates, pertubed.attr.df$involvedStates)\n",
    "setdiff(WT.attr.df$involvedStates, pertubed.attr.df$involvedStates)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As this is a random analysis it is useful to repeat it multiple times. The following code, taken from the BoolNet package vignate, \"performs a robustness test on a network by counting the numbers of perturbed networks containing the attractors of the original net. (This may take a while)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Attractors in original network:\n",
      "Number of occurrences of the original attractors in 1000 perturbed copies of the network:\n",
      "Attractor 1: 345\n",
      "Attractor 2: 639\n",
      "Attractor 3: 437\n",
      "Attractor 4: 443\n",
      "Attractor 5: 498\n",
      "Attractor 6: 351\n",
      "Attractor 7: 549\n",
      "Attractor 8: 449\n",
      "Attractor 9: 492\n",
      "Attractor 10: 590\n",
      "Attractor 11: 413\n",
      "Attractor 12: 646\n",
      "Attractor 13: 499\n",
      "Attractor 14: 632\n",
      "Attractor 15: 556\n",
      "Attractor 16: 483\n",
      "Attractor 17: 491\n",
      "Attractor 18: 592\n",
      "Attractor 19: 407\n",
      "Attractor 20: 436\n",
      "Attractor 21: 479\n",
      "Attractor 22: 385\n",
      "Attractor 23: 554\n",
      "Attractor 24: 379\n",
      "Attractor 25: 589\n",
      "Attractor 26: 504\n",
      "Attractor 27: 479\n",
      "Attractor 28: 526\n",
      "Attractor 29: 561\n",
      "Attractor 30: 380\n",
      "Attractor 31: 591\n",
      "Attractor 32: 408\n",
      "Attractor 33: 413\n",
      "Attractor 34: 403\n",
      "Attractor 35: 460\n",
      "Attractor 36: 455\n",
      "Attractor 37: 405\n",
      "Attractor 38: 408\n",
      "Attractor 39: 401\n",
      "Attractor 40: 470\n",
      "Attractor 41: 465\n",
      "Attractor 42: 536\n",
      "Attractor 43: 332\n",
      "Attractor 44: 456\n",
      "Attractor 45: 544\n",
      "Attractor 46: 368\n",
      "Attractor 47: 466\n",
      "Attractor 48: 483\n",
      "Attractor 49: 351\n",
      "Attractor 50: 484\n",
      "Attractor 51: 449\n",
      "Attractor 52: 420\n",
      "Attractor 53: 475\n",
      "Attractor 54: 421\n",
      "Attractor 55: 355\n",
      "Attractor 56: 369\n",
      "Attractor 57: 312\n",
      "Attractor 58: 344\n"
     ]
    }
   ],
   "source": [
    "# get attractors in original network\n",
    "attrs <- getAttractors(net)\n",
    "# create 1000 perturbed copies of the network and search for attractors\n",
    "perturbationResults <- sapply(1:1000,function(i)\n",
    "{\n",
    "# perturb network and identify attractors\n",
    "perturbedNet <- perturbNetwork(net, perturb=\"functions\", method=\"bitflip\")\n",
    "perturbedAttrs <- getAttractors(perturbedNet, canonical=TRUE)\n",
    "# check whether the attractors in the original network exist in the perturbed network\n",
    "attractorIndices <- sapply(attrs$attractors,function(attractor1)\n",
    "{\n",
    "index <- which(sapply(perturbedAttrs$attractors,function(attractor2)\n",
    "{\n",
    "identical(attractor1,attractor2)\n",
    "}))\n",
    "if (length(index) == 0)\n",
    "NA\n",
    "else\n",
    "index\n",
    "})\n",
    "return(attractorIndices)\n",
    "})\n",
    "# perturbationResults now contains a matrix\n",
    "# with the first 2 columns specifying the indices or the\n",
    "# original attractors in the perturbed network\n",
    "# (or NA if the attractor was not found) and the next 2\n",
    "# columns counting the numbers of states\n",
    "# in the basin of attraction (or NA if the attractor was not found)\n",
    "# measure the total numbers of occurrences of the original attractors in the perturbed copies\n",
    "numOccurrences <- apply(perturbationResults[1:length(attrs$attractors),,drop=FALSE], 1,\n",
    "function(row)sum(!is.na(row)))\n",
    "# print original attractors\n",
    "cat(\"Attractors in original network:\\n\")\n",
    "#print(attrs)\n",
    "# print information\n",
    "cat(\"Number of occurrences of the original attractors\",\n",
    "\"in 1000 perturbed copies of the network:\\n\")\n",
    "for (i in 1:length(attrs$attractors))\n",
    "{\n",
    "cat(\"Attractor \",i,\": \",numOccurrences[i],\"\\n\",sep=\"\")\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This kind of analysis are very useful for validating the network construction and the robustness of the functions to changes in the functios caused by epigenetic changes, disorder protein domeins, alternate splissing, etc."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Index\n",
    "\n",
    "* [Introduction](./RPRN-Introduction.ipynb)\n",
    "* [BoolNet](./RPRN-BoolNet.ipynb)\n",
    "* Functions\n",
    "* [Updating](./RPRN-Updating.ipynb)\n",
    "* [States and trajectories](./RPRN-States-Trajectories.ipynb)\n",
    "* [Appendix](./RPRN-Appendix.ipynb)"
   ]
  }
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