docs/Examples/LifeScienceExamples.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c0801168",
   "metadata": {},
   "source": [
    "# Zivich et al. (2022): Delicatessen Publication\n",
    "\n",
    "The following is the code to replicate the examples provided in Zivich et al. (2022). These examples are some common use cases of M-estimation in life science research. Specifically, we provide three case studies.\n",
    "\n",
    "Zivich PN, Klose M, Cole SR, Edwards JK, & Shook-Sa BE. (2022). Delicatessen: M-Estimation in Python. arXiv preprint arXiv:2203.11300.\n",
    "\n",
    "## Setup"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "744be0a9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "NumPy version:        1.25.2\n",
      "SciPy version:        1.11.2\n",
      "Pandas version:       1.4.1\n",
      "Matplotlib version:   3.5.1\n",
      "Delicatessen version: 2.1\n"
     ]
    }
   ],
   "source": [
    "# Loading packages for examples\n",
    "import numpy as np\n",
    "import scipy as sp\n",
    "import pandas as pd\n",
    "import matplotlib\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "mpl.rcParams['figure.dpi']= 300\n",
    "\n",
    "import delicatessen\n",
    "from delicatessen import MEstimator\n",
    "from delicatessen.data import load_robust_regress, load_inderjit\n",
    "from delicatessen.estimating_equations import (ee_regression, \n",
    "                                               ee_robust_regression,\n",
    "                                               ee_3p_logistic, \n",
    "                                               ee_effective_dose_delta)\n",
    "from delicatessen.utilities import inverse_logit\n",
    "\n",
    "decimal_places = 3\n",
    "np.random.seed(51520837)\n",
    "\n",
    "print(\"NumPy version:       \", np.__version__)\n",
    "print(\"SciPy version:       \", sp.__version__)\n",
    "print(\"Pandas version:      \", pd.__version__)\n",
    "print(\"Matplotlib version:  \", matplotlib.__version__)\n",
    "print(\"Delicatessen version:\", delicatessen.__version__)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8b291ac4",
   "metadata": {},
   "source": [
    "## Case Study 1: Linear Regression\n",
    "\n",
    "The first example considers application of linear regression with an outlier. We will use some simulated data to compare simple linear regression to robust linear regression.\n",
    "\n",
    "### Benchmark\n",
    "\n",
    "Since the outlier was simulated, we will first load the data and use simple linear regression as a benchmark. The following block of code implements this"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "11de71f2",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Loading the data without the outlier to generate reference\n",
    "d = load_robust_regress(outlier=False)       # Loads data without outlier\n",
    "x = d[:, 0]                                  # Extract X-values (height)\n",
    "y = d[:, 1]                                  # Extract Y-values (weight)\n",
    "X = np.vstack((np.ones(x.shape[0]), x)).T    # Convert to array\n",
    "\n",
    "\n",
    "def psi_simple_linear(theta):\n",
    "    return ee_regression(theta=theta, \n",
    "                         X=X, \n",
    "                         y=y, \n",
    "                         model='linear')\n",
    "\n",
    "\n",
    "# Linear regression without the outlier for reference\n",
    "lme = MEstimator(psi_simple_linear, \n",
    "                 init=[0., 0.])\n",
    "lme.estimate(solver='hybr')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e545c84c",
   "metadata": {},
   "source": [
    "Now we can load the data with the outlier and reuse the defined estimating equation above to estimate the simple linear regression model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4a9c9c2e",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Loading the data with the outlier\n",
    "d = load_robust_regress(outlier=True)       # Loads data with outlier\n",
    "y = d[:, 1]                                 # Extract Y with outlier\n",
    "\n",
    "# Linear regression with the outlier\n",
    "ulme = MEstimator(psi_simple_linear, \n",
    "                  init=[0., 0.])\n",
    "ulme.estimate(solver='hybr')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7be6529c",
   "metadata": {},
   "source": [
    "Finally, robust linear regression is used with the Huber method"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bdd0a577",
   "metadata": {},
   "outputs": [],
   "source": [
    "def psi_case1_robust(theta):\n",
    "    return ee_robust_regression(theta=theta, \n",
    "                                X=X, \n",
    "                                y=y, \n",
    "                                k=1.345, \n",
    "                                model='linear')\n",
    "\n",
    "\n",
    "# Notice: the theta from the previous regression is used since\n",
    "#   robust regression can fail when initial values are too far.\n",
    "rlme = MEstimator(psi_case1_robust, \n",
    "                  init=ulme.theta)\n",
    "rlme.estimate(solver='hybr')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "83e9020f",
   "metadata": {},
   "source": [
    "To distinguish between our results, we will generate a figure of the three estimated regression lines"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "65549ed1",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\zivic\\AppData\\Local\\Temp\\ipykernel_10668\\1702613546.py:21: DeprecationWarning: Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)\n",
      "  plt.arrow(159.386, float(y[x == 159.386]) - 2.75, 0, 2.1,\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1800x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Displaying results\n",
    "plt.figure(figsize=[6, 4])\n",
    "\n",
    "xlin = np.linspace(159, 170, 100)\n",
    "\n",
    "# Plotting linear model results\n",
    "plt.plot(xlin, lme.theta[0] + xlin*lme.theta[1],\n",
    "         '--', color='k', label='Before outlier')\n",
    "plt.plot(xlin, ulme.theta[0] + xlin*ulme.theta[1],\n",
    "         '-', color='red', label='After outlier')\n",
    "plt.plot(xlin, rlme.theta[0] + xlin*rlme.theta[1],\n",
    "         '-', color='blue', label='Robust')\n",
    "\n",
    "# Plotting the data points (including the outlier)\n",
    "plt.scatter(x, y, s=40, c='gray', edgecolors='k', \n",
    "            label=None, zorder=4)\n",
    "plt.scatter(159.386, y[x == 159.386] - 3, s=50, c='gray', \n",
    "            edgecolors='k', zorder=4)\n",
    "plt.scatter(159.386, y[x == 159.386], s=50, c='red', \n",
    "            edgecolors='k', zorder=5)\n",
    "plt.arrow(159.386, float(y[x == 159.386]) - 2.75, 0, 2.1, \n",
    "          head_width=0.2, facecolor='k', zorder=5)\n",
    "\n",
    "# Making nice labels for graph\n",
    "plt.xlabel(\"Height (cm)\")\n",
    "plt.ylabel(\"Weight (kg)\")\n",
    "plt.legend()\n",
    "\n",
    "# Outputting result\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "44d668fc",
   "metadata": {},
   "source": [
    "As seen, the simple linear regression model is sensitive to the outlier. Robust linear regression is less sensitive (and is closer to the benchmark, the dashed line).\n",
    "\n",
    "\n",
    "## Case Study 2: Dose-Response Curve\n",
    "\n",
    "Next, we consider estimation of the dose-response curve using some publicly available data that come pre-packaged with `delicatessen`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "67b28522",
   "metadata": {},
   "outputs": [],
   "source": [
    "d = load_inderjit()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92b9b53f",
   "metadata": {},
   "source": [
    "The following code implements a 3-parameter log-logistic model (the lower limit is set to zero, i.e., it is not estimated). Additionally, we append an estimating equation to compute the 20% effective dose."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ad30a72b",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "c:\\users\\zivic\\documents\\open-source\\delicatessen\\delicatessen\\estimating_equations\\dose_response.py:131: RuntimeWarning: divide by zero encountered in log\n",
      "  nested_log = np.where(X > 0, np.log(X / theta[1]), 0)  # Handling when dose = 0\n"
     ]
    }
   ],
   "source": [
    "def psi(theta):\n",
    "    # Asserting that the lower limit is zero\n",
    "    lower_limit = 0\n",
    "\n",
    "    # Estimating equations for the 3PL model\n",
    "    pl3 = ee_3p_logistic(theta=theta[0:3], \n",
    "                         X=d[:, 1], y=d[:, 0], \n",
    "                         lower=lower_limit)\n",
    "\n",
    "    # Estimating equations for the effective concentrations\n",
    "    ed20 = ee_effective_dose_delta(theta[3], y=d[:, 0], delta=0.20,\n",
    "                                   steepness=theta[0], ed50=theta[1],\n",
    "                                   lower=lower_limit, upper=theta[2])\n",
    "\n",
    "    # Returning stacked estimating equations\n",
    "    return np.vstack((pl3,\n",
    "                      ed20))\n",
    "\n",
    "\n",
    "\n",
    "# Optimization procedure\n",
    "mest = MEstimator(psi, init=[3.3, 2.5, 8., 2.])\n",
    "mest.estimate(solver='lm', maxiter=2000)\n",
    "ci_theta = mest.confidence_intervals()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f6f056cc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==================================\n",
      "Case Study 2: Results\n",
      "==================================\n",
      "ED(50)\n",
      "----------------------------------\n",
      "Est:    3.263\n",
      "95% CI: [2.743 3.784]\n",
      "----------------------------------\n",
      "Steepness\n",
      "----------------------------------\n",
      "Est:    2.47\n",
      "95% CI: [1.897 3.043]\n",
      "----------------------------------\n",
      "Upper Limit\n",
      "----------------------------------\n",
      "Est:    7.855\n",
      "95% CI: [7.554 8.157]\n",
      "----------------------------------\n",
      "ED(20)\n",
      "----------------------------------\n",
      "Est:    1.862\n",
      "95% CI: [1.581 2.143]\n",
      "=========================================\n"
     ]
    }
   ],
   "source": [
    "# Printing the results to the console\n",
    "print(\"==================================\")\n",
    "print(\"Case Study 2: Results\")\n",
    "print(\"==================================\")\n",
    "print(\"ED(50)\")\n",
    "print(\"----------------------------------\")\n",
    "print(\"Est:   \", np.round(mest.theta[0], decimal_places))\n",
    "print(\"95% CI:\", np.round(ci_theta[0],\n",
    "                          decimal_places))\n",
    "print(\"----------------------------------\")\n",
    "print(\"Steepness\")\n",
    "print(\"----------------------------------\")\n",
    "print(\"Est:   \", np.round(mest.theta[1], decimal_places))\n",
    "print(\"95% CI:\", np.round(ci_theta[1],\n",
    "                          decimal_places))\n",
    "print(\"----------------------------------\")\n",
    "print(\"Upper Limit\")\n",
    "print(\"----------------------------------\")\n",
    "print(\"Est:   \", np.round(mest.theta[2], decimal_places))\n",
    "print(\"95% CI:\", np.round(ci_theta[2],\n",
    "                          decimal_places))\n",
    "print(\"----------------------------------\")\n",
    "print(\"ED(20)\")\n",
    "print(\"----------------------------------\")\n",
    "print(\"Est:   \", np.round(mest.theta[3], decimal_places))\n",
    "print(\"95% CI:\", np.round(ci_theta[3],\n",
    "                          decimal_places))\n",
    "print(\"=========================================\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "152669f9",
   "metadata": {},
   "source": [
    "The results can also be shown through a visualization of the estimated dose-response function. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "da6eed80",
   "metadata": {},
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 1800x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Displaying results\n",
    "plt.figure(figsize=[6, 4])\n",
    "\n",
    "x = np.linspace(0, 100, 5000)\n",
    "theta = mest.theta\n",
    "y = 0 + (theta[2] - 0) / (1 + (x/theta[0])**theta[1])\n",
    "\n",
    "# Plotting points and drawing dose-response line\n",
    "plt.plot(x, y, '-', color='blue', linewidth=2)\n",
    "plt.scatter(d[:, 1], d[:, 0], s=40, c='gray', edgecolors='k', zorder=5)\n",
    "\n",
    "plt.ylim([0, 9])\n",
    "plt.ylabel(\"Root length (cm)\")\n",
    "plt.xscale('symlog', linthresh=0.3)\n",
    "plt.xlim([-0.02, 100])\n",
    "plt.xticks([0, 1, 10, 30, 100],\n",
    "           [\"0\", \"1\", \"10\", \"30\", \"100\"])\n",
    "plt.xlabel(\"Ferulic acid (mM)\")\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24925a93",
   "metadata": {},
   "source": [
    "As we can see here, the higher the dose, the shorter the root length.\n",
    "\n",
    "## Case Study 3: Standardization to external population\n",
    "\n",
    "For the final example, we use inverse odds weights to standardize scientific results to an external population by drug use. This approach helps to generalize study results beyond a particular convenience sample"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e9a460eb",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Loading Kamat et al. 2012\n",
    "d1 = pd.read_csv(\"data/kamat.et.al.2012_biomarkers.csv\")\n",
    "d1['drug_use'] = np.where(d1['Cocaine'] + d1['Opiate'] > 0, 1, 0)\n",
    "d1['S'] = 1\n",
    "biomarkers = ['IFN_alpha', 'CXCL9', 'CXCL10', 'sIL-2R', 'IL12']\n",
    "d1 = d1[['drug_use', 'S', ] + biomarkers].copy()\n",
    "for bm in biomarkers:\n",
    "    d1[bm] = np.log(d1[bm])\n",
    "\n",
    "\n",
    "# MACS/ WIHS in 2018-2019 of cocaine or heroin use in previous 6 months\n",
    "d0 = pd.DataFrame()\n",
    "d0['drug_use'] = [1]*300 + [0]*(4016-300)\n",
    "d0['S'] = 0\n",
    "\n",
    "\n",
    "# Stacking data together and adding constant for model\n",
    "d = pd.concat([d0, d1])           # Stacking data sets together\n",
    "d['constant'] = 1                 # Creating intercept for the model\n",
    "d[biomarkers] = d[biomarkers].fillna(9999)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bb3f6e38",
   "metadata": {},
   "source": [
    "The following code calculates the means for the study population. Note that these may not be generalizable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6c93b4e9",
   "metadata": {},
   "outputs": [],
   "source": [
    "def psi_standard_mean(theta):\n",
    "    # Returning stacked estimating equations\n",
    "    return (np.asarray(d1['IFN_alpha']) - theta[0],\n",
    "            np.asarray(d1['CXCL9']) - theta[1],\n",
    "            np.asarray(d1['CXCL10']) - theta[2],\n",
    "            np.asarray(d1['sIL-2R']) - theta[3],\n",
    "            np.asarray(d1['IL12']) - theta[4], )\n",
    "\n",
    "\n",
    "nm = MEstimator(psi_standard_mean, init=[1., ]*5)\n",
    "nm.estimate()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6966c472",
   "metadata": {},
   "source": [
    "The following code generalizes the results from Kamat et al. using data from the Women's Interagency HIV Study (WIHS). The WIHS study is considered to be more generalizable, but we don't have access to these biomarkers in the WIHS data. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "47fddcd6",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Weighted means to standardize to population\n",
    "x = np.asarray(d[['constant', 'drug_use']])\n",
    "s = np.asarray(d['S'])\n",
    "\n",
    "\n",
    "def psi_weighted_mean(theta):\n",
    "    global x, y, s\n",
    "\n",
    "    # Estimating weights\n",
    "    nuisance = ee_regression(theta=theta[:2],\n",
    "                             X=x, y=s, model='logistic')\n",
    "    pi = inverse_logit(np.dot(x, theta[:2]))\n",
    "    weight = np.where(s == 1, (1-pi)/pi, 0)\n",
    "\n",
    "    # Returning stacked estimating equations\n",
    "    return np.vstack((nuisance,\n",
    "                      s*weight*(np.asarray(d['IFN_alpha']) - theta[2]),\n",
    "                      s*weight*(np.asarray(d['CXCL9']) - theta[3]),\n",
    "                      s*weight*(np.asarray(d['CXCL10']) - theta[4]),\n",
    "                      s*weight*(np.asarray(d['sIL-2R']) - theta[5]),\n",
    "                      s*weight*(np.asarray(d['IL12']) - theta[6]), )\n",
    "                     )\n",
    "\n",
    "\n",
    "wm = MEstimator(psi_weighted_mean, init=[0, 0] + [1., ]*5)\n",
    "wm.estimate()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cdde9e4a",
   "metadata": {},
   "source": [
    "Finally we can show the difference between the raw results and the results generalized to the WIHS population. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a02ad1c7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1800x1200 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Displaying results\n",
    "plt.figure(figsize=[6, 4])\n",
    "\n",
    "# Plotting point estimates\n",
    "plt.scatter(nm.theta, [i-0.2 for i in range(len(biomarkers))],\n",
    "            s=40, color='red', edgecolors='k', marker='D', \n",
    "            zorder=3, label='Naive')\n",
    "plt.scatter(wm.theta[2:], [i+0.2 for i in range(len(biomarkers))],\n",
    "            s=40, color='blue', edgecolors='k', marker='D', \n",
    "            zorder=3, label='Standardized')\n",
    "\n",
    "# Plotting confidence intervals\n",
    "plt.hlines([i-0.2 for i in range(len(biomarkers))],\n",
    "           nm.theta - 1.96*np.diag(nm.variance)**0.5,\n",
    "           nm.theta + 1.96 * np.diag(nm.variance)**0.5,\n",
    "           colors='red')\n",
    "plt.hlines([i+0.2 for i in range(len(biomarkers))],\n",
    "           wm.theta[2:] - 1.96*np.diag(wm.variance)[2:]**0.5,\n",
    "           wm.theta[2:] + 1.96 * np.diag(wm.variance)[2:]**0.5,\n",
    "           colors='blue')\n",
    "\n",
    "# Some shaded regions to make it easier to examine\n",
    "plt.fill_between([3, 7.5], [3.5, 3.5], [2.5, 2.5], color='gray', alpha=0.1)\n",
    "plt.fill_between([3, 7.5], [1.5, 1.5], [0.5, 0.5], color='gray', alpha=0.1)\n",
    "\n",
    "plt.yticks([i for i in range(len(biomarkers))],\n",
    "           ['IFN-α', 'CXCL9', 'CXCL10', 'sIL-2R', 'IL-12'])\n",
    "plt.ylim([4.5, -0.5])\n",
    "plt.xlim([3.5, 7.5])\n",
    "plt.xlabel(\"Mean of log-transformed biomarkers\")\n",
    "plt.legend()\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06380eb7",
   "metadata": {},
   "source": [
    "As shown here, there are some differences in biomarkers after standardizing the data (particularly IL-12 and sIL-2R).\n",
    "\n",
    "This concludes the examples provided in the paper.\n",
    "\n",
    "### References\n",
    "\n",
    "Ritz, C., Baty, F., Streibig, J. C. & Gerhard, D. Dose-Response Analysis Using R. PLOS ONE 10, e0146021 (2015).\n",
    "\n",
    "Inderjit, Streibig, J. C. & Olofsdotter, M. Joint action of phenolic acid mixtures and its significance in allelopathy research. Physiol Plant 114, 422–428 (2002).\n",
    "\n",
    "Kamat, A. et al. A Plasma Biomarker Signature of Immune Activation in HIV Patients on Antiretroviral Therapy. PLOS ONE 7, e30881 (2012)."
   ]
  }
 ],
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