2e_NOME_Enriched_Heatmap_with_MNase_and_Etv2.ipynb

{
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  "nbformat_minor": 0,
  "metadata": {
    "kernelspec": {
      "display_name": "R",
      "language": "R",
      "name": "ir"
    },
    "language_info": {
      "codemirror_mode": "r",
      "file_extension": ".r",
      "mimetype": "text/x-r-source",
      "name": "R",
      "pygments_lexer": "r",
      "version": "3.3.1"
    },
    "colab": {
      "name": "2e_NOME_Enriched_Heatmap_with_MNase_and_Etv2.ipynb",
      "provenance": [],
      "collapsed_sections": [],
      "machine_shape": "hm",
      "include_colab_link": true
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/gongx030/Etv2_pioneer/blob/master/2e_NOME_Enriched_Heatmap_with_MNase_and_Etv2.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4TLq2MbDD3zq"
      },
      "source": [
        "# This notebook examines the MEF MNase-seq signal at the Etv2 binding sites at MEF D1 post Etv2 induction.  The anaysis shows that Etv2 binds both NFR and NOR regions\n",
        "by Nikita Dsouza\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6OhqEEeZHroa"
      },
      "source": [
        "start_time0 <- Sys.time()\n",
        "options(max.print=1000)"
      ],
      "execution_count": 1,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "obcf6pAcw6TQ"
      },
      "source": [
        "### Install external packages"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "99vS8MZUxApi",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 191
        },
        "outputId": "450ba203-fc19-42ea-b996-68d91bd29cf6"
      },
      "source": [
        "system('apt-get -q install libgsl-dev', intern = TRUE)"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              " [1] \"Reading package lists...\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              " [2] \"Building dependency tree...\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
              " [3] \"Reading state information...\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n",
              " [4] \"The following additional packages will be installed:\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n",
              " [5] \"  libgsl23 libgslcblas0\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \n",
              " [6] \"Suggested packages:\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           \n",
              " [7] \"  gsl-ref-psdoc | gsl-doc-pdf | gsl-doc-info | gsl-ref-html\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
              " [8] \"The following NEW packages will be installed:\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \n",
              " [9] \"  libgsl-dev libgsl23 libgslcblas0\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            \n",
              "[10] \"0 upgraded, 3 newly installed, 0 to remove and 37 not upgraded.\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              "[11] \"Need to get 1,926 kB of archives.\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             \n",
              "[12] \"After this operation, 9,474 kB of additional disk space will be used.\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
              "[13] \"Get:1 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgslcblas0 amd64 2.4+dfsg-6 [79.7 kB]\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n",
              "[14] \"Get:2 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgsl23 amd64 2.4+dfsg-6 [823 kB]\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              "[15] \"Get:3 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgsl-dev amd64 2.4+dfsg-6 [1,023 kB]\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           \n",
              "[16] \"Fetched 1,926 kB in 1s (1,956 kB/s)\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           \n",
              "[17] \"Selecting previously unselected package libgslcblas0:amd64.\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \n",
              "[18] \"(Reading database ... \\r(Reading database ... 5%\\r(Reading database ... 10%\\r(Reading database ... 15%\\r(Reading database ... 20%\\r(Reading database ... 25%\\r(Reading database ... 30%\\r(Reading database ... 35%\\r(Reading database ... 40%\\r(Reading database ... 45%\\r(Reading database ... 50%\\r(Reading database ... 55%\\r(Reading database ... 60%\\r(Reading database ... 65%\\r(Reading database ... 70%\\r(Reading database ... 75%\\r(Reading database ... 80%\\r(Reading database ... 85%\\r(Reading database ... 90%\\r(Reading database ... 95%\\r(Reading database ... 100%\\r(Reading database ... 155047 files and directories currently installed.)\\r\"\n",
              "[19] \"Preparing to unpack .../libgslcblas0_2.4+dfsg-6_amd64.deb ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              "[20] \"Unpacking libgslcblas0:amd64 (2.4+dfsg-6) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              "[21] \"Selecting previously unselected package libgsl23:amd64.\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     \n",
              "[22] \"Preparing to unpack .../libgsl23_2.4+dfsg-6_amd64.deb ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
              "[23] \"Unpacking libgsl23:amd64 (2.4+dfsg-6) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
              "[24] \"Selecting previously unselected package libgsl-dev.\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
              "[25] \"Preparing to unpack .../libgsl-dev_2.4+dfsg-6_amd64.deb ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \n",
              "[26] \"Unpacking libgsl-dev (2.4+dfsg-6) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \n",
              "[27] \"Setting up libgslcblas0:amd64 (2.4+dfsg-6) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "[28] \"Setting up libgsl23:amd64 (2.4+dfsg-6) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n",
              "[29] \"Setting up libgsl-dev (2.4+dfsg-6) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              "[30] \"Processing triggers for man-db (2.8.3-2ubuntu0.1) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \n",
              "[31] \"Processing triggers for libc-bin (2.27-3ubuntu1.3) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              "[32] \"/sbin/ldconfig.real: /usr/local/lib/python3.7/dist-packages/ideep4py/lib/libmkldnn.so.0 is not a symbolic link\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "[33] \"\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            "
            ],
            "text/latex": "\\begin{enumerate*}\n\\item 'Reading package lists...'\n\\item 'Building dependency tree...'\n\\item 'Reading state information...'\n\\item 'The following additional packages will be installed:'\n\\item '  libgsl23 libgslcblas0'\n\\item 'Suggested packages:'\n\\item '  gsl-ref-psdoc \\textbar{} gsl-doc-pdf \\textbar{} gsl-doc-info \\textbar{} gsl-ref-html'\n\\item 'The following NEW packages will be installed:'\n\\item '  libgsl-dev libgsl23 libgslcblas0'\n\\item '0 upgraded, 3 newly installed, 0 to remove and 37 not upgraded.'\n\\item 'Need to get 1,926 kB of archives.'\n\\item 'After this operation, 9,474 kB of additional disk space will be used.'\n\\item 'Get:1 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgslcblas0 amd64 2.4+dfsg-6 {[}79.7 kB{]}'\n\\item 'Get:2 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgsl23 amd64 2.4+dfsg-6 {[}823 kB{]}'\n\\item 'Get:3 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgsl-dev amd64 2.4+dfsg-6 {[}1,023 kB{]}'\n\\item 'Fetched 1,926 kB in 1s (1,956 kB/s)'\n\\item 'Selecting previously unselected package libgslcblas0:amd64.\\textbackslash{}r'\n\\item '(Reading database ... \\textbackslash{}r(Reading database ... 5\\%\\textbackslash{}r(Reading database ... 10\\%\\textbackslash{}r(Reading database ... 15\\%\\textbackslash{}r(Reading database ... 20\\%\\textbackslash{}r(Reading database ... 25\\%\\textbackslash{}r(Reading database ... 30\\%\\textbackslash{}r(Reading database ... 35\\%\\textbackslash{}r(Reading database ... 40\\%\\textbackslash{}r(Reading database ... 45\\%\\textbackslash{}r(Reading database ... 50\\%\\textbackslash{}r(Reading database ... 55\\%\\textbackslash{}r(Reading database ... 60\\%\\textbackslash{}r(Reading database ... 65\\%\\textbackslash{}r(Reading database ... 70\\%\\textbackslash{}r(Reading database ... 75\\%\\textbackslash{}r(Reading database ... 80\\%\\textbackslash{}r(Reading database ... 85\\%\\textbackslash{}r(Reading database ... 90\\%\\textbackslash{}r(Reading database ... 95\\%\\textbackslash{}r(Reading database ... 100\\%\\textbackslash{}r(Reading database ... 155047 files and directories currently installed.)\\textbackslash{}r'\n\\item 'Preparing to unpack .../libgslcblas0\\_2.4+dfsg-6\\_amd64.deb ...\\textbackslash{}r'\n\\item 'Unpacking libgslcblas0:amd64 (2.4+dfsg-6) ...\\textbackslash{}r'\n\\item 'Selecting previously unselected package libgsl23:amd64.\\textbackslash{}r'\n\\item 'Preparing to unpack .../libgsl23\\_2.4+dfsg-6\\_amd64.deb ...\\textbackslash{}r'\n\\item 'Unpacking libgsl23:amd64 (2.4+dfsg-6) ...\\textbackslash{}r'\n\\item 'Selecting previously unselected package libgsl-dev.\\textbackslash{}r'\n\\item 'Preparing to unpack .../libgsl-dev\\_2.4+dfsg-6\\_amd64.deb ...\\textbackslash{}r'\n\\item 'Unpacking libgsl-dev (2.4+dfsg-6) ...\\textbackslash{}r'\n\\item 'Setting up libgslcblas0:amd64 (2.4+dfsg-6) ...\\textbackslash{}r'\n\\item 'Setting up libgsl23:amd64 (2.4+dfsg-6) ...\\textbackslash{}r'\n\\item 'Setting up libgsl-dev (2.4+dfsg-6) ...\\textbackslash{}r'\n\\item 'Processing triggers for man-db (2.8.3-2ubuntu0.1) ...\\textbackslash{}r'\n\\item 'Processing triggers for libc-bin (2.27-3ubuntu1.3) ...\\textbackslash{}r'\n\\item '/sbin/ldconfig.real: /usr/local/lib/python3.7/dist-packages/ideep4py/lib/libmkldnn.so.0 is not a symbolic link\\textbackslash{}r'\n\\item '\\textbackslash{}r'\n\\end{enumerate*}\n",
            "text/markdown": "1. 'Reading package lists...'\n2. 'Building dependency tree...'\n3. 'Reading state information...'\n4. 'The following additional packages will be installed:'\n5. <span style=white-space:pre-wrap>'  libgsl23 libgslcblas0'</span>\n6. 'Suggested packages:'\n7. <span style=white-space:pre-wrap>'  gsl-ref-psdoc | gsl-doc-pdf | gsl-doc-info | gsl-ref-html'</span>\n8. 'The following NEW packages will be installed:'\n9. <span style=white-space:pre-wrap>'  libgsl-dev libgsl23 libgslcblas0'</span>\n10. '0 upgraded, 3 newly installed, 0 to remove and 37 not upgraded.'\n11. 'Need to get 1,926 kB of archives.'\n12. 'After this operation, 9,474 kB of additional disk space will be used.'\n13. 'Get:1 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgslcblas0 amd64 2.4+dfsg-6 [79.7 kB]'\n14. 'Get:2 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgsl23 amd64 2.4+dfsg-6 [823 kB]'\n15. 'Get:3 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgsl-dev amd64 2.4+dfsg-6 [1,023 kB]'\n16. 'Fetched 1,926 kB in 1s (1,956 kB/s)'\n17. 'Selecting previously unselected package libgslcblas0:amd64.\\r'\n18. '(Reading database ... \\r(Reading database ... 5%\\r(Reading database ... 10%\\r(Reading database ... 15%\\r(Reading database ... 20%\\r(Reading database ... 25%\\r(Reading database ... 30%\\r(Reading database ... 35%\\r(Reading database ... 40%\\r(Reading database ... 45%\\r(Reading database ... 50%\\r(Reading database ... 55%\\r(Reading database ... 60%\\r(Reading database ... 65%\\r(Reading database ... 70%\\r(Reading database ... 75%\\r(Reading database ... 80%\\r(Reading database ... 85%\\r(Reading database ... 90%\\r(Reading database ... 95%\\r(Reading database ... 100%\\r(Reading database ... 155047 files and directories currently installed.)\\r'\n19. 'Preparing to unpack .../libgslcblas0_2.4+dfsg-6_amd64.deb ...\\r'\n20. 'Unpacking libgslcblas0:amd64 (2.4+dfsg-6) ...\\r'\n21. 'Selecting previously unselected package libgsl23:amd64.\\r'\n22. 'Preparing to unpack .../libgsl23_2.4+dfsg-6_amd64.deb ...\\r'\n23. 'Unpacking libgsl23:amd64 (2.4+dfsg-6) ...\\r'\n24. 'Selecting previously unselected package libgsl-dev.\\r'\n25. 'Preparing to unpack .../libgsl-dev_2.4+dfsg-6_amd64.deb ...\\r'\n26. 'Unpacking libgsl-dev (2.4+dfsg-6) ...\\r'\n27. 'Setting up libgslcblas0:amd64 (2.4+dfsg-6) ...\\r'\n28. 'Setting up libgsl23:amd64 (2.4+dfsg-6) ...\\r'\n29. 'Setting up libgsl-dev (2.4+dfsg-6) ...\\r'\n30. 'Processing triggers for man-db (2.8.3-2ubuntu0.1) ...\\r'\n31. 'Processing triggers for libc-bin (2.27-3ubuntu1.3) ...\\r'\n32. '/sbin/ldconfig.real: /usr/local/lib/python3.7/dist-packages/ideep4py/lib/libmkldnn.so.0 is not a symbolic link\\r'\n33. '\\r'\n\n\n",
            "text/html": [
              "<style>\n",
              ".list-inline {list-style: none; margin:0; padding: 0}\n",
              ".list-inline>li {display: inline-block}\n",
              ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
              "</style>\n",
              "<ol class=list-inline><li>'Reading package lists...'</li><li>'Building dependency tree...'</li><li>'Reading state information...'</li><li>'The following additional packages will be installed:'</li><li><span style=white-space:pre-wrap>'  libgsl23 libgslcblas0'</span></li><li>'Suggested packages:'</li><li><span style=white-space:pre-wrap>'  gsl-ref-psdoc | gsl-doc-pdf | gsl-doc-info | gsl-ref-html'</span></li><li>'The following NEW packages will be installed:'</li><li><span style=white-space:pre-wrap>'  libgsl-dev libgsl23 libgslcblas0'</span></li><li>'0 upgraded, 3 newly installed, 0 to remove and 37 not upgraded.'</li><li>'Need to get 1,926 kB of archives.'</li><li>'After this operation, 9,474 kB of additional disk space will be used.'</li><li>'Get:1 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgslcblas0 amd64 2.4+dfsg-6 [79.7 kB]'</li><li>'Get:2 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgsl23 amd64 2.4+dfsg-6 [823 kB]'</li><li>'Get:3 http://archive.ubuntu.com/ubuntu bionic/universe amd64 libgsl-dev amd64 2.4+dfsg-6 [1,023 kB]'</li><li>'Fetched 1,926 kB in 1s (1,956 kB/s)'</li><li>'Selecting previously unselected package libgslcblas0:amd64.\\r'</li><li>'(Reading database ... \\r(Reading database ... 5%\\r(Reading database ... 10%\\r(Reading database ... 15%\\r(Reading database ... 20%\\r(Reading database ... 25%\\r(Reading database ... 30%\\r(Reading database ... 35%\\r(Reading database ... 40%\\r(Reading database ... 45%\\r(Reading database ... 50%\\r(Reading database ... 55%\\r(Reading database ... 60%\\r(Reading database ... 65%\\r(Reading database ... 70%\\r(Reading database ... 75%\\r(Reading database ... 80%\\r(Reading database ... 85%\\r(Reading database ... 90%\\r(Reading database ... 95%\\r(Reading database ... 100%\\r(Reading database ... 155047 files and directories currently installed.)\\r'</li><li>'Preparing to unpack .../libgslcblas0_2.4+dfsg-6_amd64.deb ...\\r'</li><li>'Unpacking libgslcblas0:amd64 (2.4+dfsg-6) ...\\r'</li><li>'Selecting previously unselected package libgsl23:amd64.\\r'</li><li>'Preparing to unpack .../libgsl23_2.4+dfsg-6_amd64.deb ...\\r'</li><li>'Unpacking libgsl23:amd64 (2.4+dfsg-6) ...\\r'</li><li>'Selecting previously unselected package libgsl-dev.\\r'</li><li>'Preparing to unpack .../libgsl-dev_2.4+dfsg-6_amd64.deb ...\\r'</li><li>'Unpacking libgsl-dev (2.4+dfsg-6) ...\\r'</li><li>'Setting up libgslcblas0:amd64 (2.4+dfsg-6) ...\\r'</li><li>'Setting up libgsl23:amd64 (2.4+dfsg-6) ...\\r'</li><li>'Setting up libgsl-dev (2.4+dfsg-6) ...\\r'</li><li>'Processing triggers for man-db (2.8.3-2ubuntu0.1) ...\\r'</li><li>'Processing triggers for libc-bin (2.27-3ubuntu1.3) ...\\r'</li><li>'/sbin/ldconfig.real: /usr/local/lib/python3.7/dist-packages/ideep4py/lib/libmkldnn.so.0 is not a symbolic link\\r'</li><li>'\\r'</li></ol>\n"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "HgPXAFx1xZHE",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 243
        },
        "outputId": "b5a1519e-0323-4938-b7c5-1a8d21cb834e"
      },
      "source": [
        "system('apt-get install libcairo2-dev', intern = TRUE) # for Cairo package that is required by ComplexHeatmap package"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              " [1] \"Reading package lists...\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              " [2] \"Building dependency tree...\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
              " [3] \"Reading state information...\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n",
              " [4] \"The following additional packages will be installed:\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          \n",
              " [5] \"  libcairo-script-interpreter2 libpixman-1-dev libxcb-shm0-dev\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n",
              " [6] \"Suggested packages:\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           \n",
              " [7] \"  libcairo2-doc\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              " [8] \"The following NEW packages will be installed:\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \n",
              " [9] \"  libcairo-script-interpreter2 libcairo2-dev libpixman-1-dev libxcb-shm0-dev\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                  \n",
              "[10] \"0 upgraded, 4 newly installed, 0 to remove and 37 not upgraded.\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              "[11] \"Need to get 930 kB of archives.\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                               \n",
              "[12] \"After this operation, 3,986 kB of additional disk space will be used.\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         \n",
              "[13] \"Get:1 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libcairo-script-interpreter2 amd64 1.15.10-2ubuntu0.1 [53.5 kB]\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "[14] \"Get:2 http://archive.ubuntu.com/ubuntu bionic/main amd64 libpixman-1-dev amd64 0.34.0-2 [244 kB]\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "[15] \"Get:3 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libxcb-shm0-dev amd64 1.13-2~ubuntu18.04 [6,684 B]\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                           \n",
              "[16] \"Get:4 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libcairo2-dev amd64 1.15.10-2ubuntu0.1 [626 kB]\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "[17] \"Fetched 930 kB in 1s (1,005 kB/s)\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             \n",
              "[18] \"Selecting previously unselected package libcairo-script-interpreter2:amd64.\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                 \n",
              "[19] \"(Reading database ... \\r(Reading database ... 5%\\r(Reading database ... 10%\\r(Reading database ... 15%\\r(Reading database ... 20%\\r(Reading database ... 25%\\r(Reading database ... 30%\\r(Reading database ... 35%\\r(Reading database ... 40%\\r(Reading database ... 45%\\r(Reading database ... 50%\\r(Reading database ... 55%\\r(Reading database ... 60%\\r(Reading database ... 65%\\r(Reading database ... 70%\\r(Reading database ... 75%\\r(Reading database ... 80%\\r(Reading database ... 85%\\r(Reading database ... 90%\\r(Reading database ... 95%\\r(Reading database ... 100%\\r(Reading database ... 155319 files and directories currently installed.)\\r\"\n",
              "[20] \"Preparing to unpack .../libcairo-script-interpreter2_1.15.10-2ubuntu0.1_amd64.deb ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \n",
              "[21] \"Unpacking libcairo-script-interpreter2:amd64 (1.15.10-2ubuntu0.1) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                       \n",
              "[22] \"Selecting previously unselected package libpixman-1-dev:amd64.\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "[23] \"Preparing to unpack .../libpixman-1-dev_0.34.0-2_amd64.deb ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "[24] \"Unpacking libpixman-1-dev:amd64 (0.34.0-2) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "[25] \"Selecting previously unselected package libxcb-shm0-dev:amd64.\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "[26] \"Preparing to unpack .../libxcb-shm0-dev_1.13-2~ubuntu18.04_amd64.deb ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n",
              "[27] \"Unpacking libxcb-shm0-dev:amd64 (1.13-2~ubuntu18.04) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                    \n",
              "[28] \"Selecting previously unselected package libcairo2-dev:amd64.\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                \n",
              "[29] \"Preparing to unpack .../libcairo2-dev_1.15.10-2ubuntu0.1_amd64.deb ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              "[30] \"Unpacking libcairo2-dev:amd64 (1.15.10-2ubuntu0.1) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              "[31] \"Setting up libcairo-script-interpreter2:amd64 (1.15.10-2ubuntu0.1) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              "[32] \"Setting up libxcb-shm0-dev:amd64 (1.13-2~ubuntu18.04) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   \n",
              "[33] \"Setting up libpixman-1-dev:amd64 (0.34.0-2) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                             \n",
              "[34] \"Setting up libcairo2-dev:amd64 (1.15.10-2ubuntu0.1) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                     \n",
              "[35] \"Processing triggers for libc-bin (2.27-3ubuntu1.3) ...\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                      \n",
              "[36] \"/sbin/ldconfig.real: /usr/local/lib/python3.7/dist-packages/ideep4py/lib/libmkldnn.so.0 is not a symbolic link\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                              \n",
              "[37] \"\\r\"                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                            "
            ],
            "text/latex": "\\begin{enumerate*}\n\\item 'Reading package lists...'\n\\item 'Building dependency tree...'\n\\item 'Reading state information...'\n\\item 'The following additional packages will be installed:'\n\\item '  libcairo-script-interpreter2 libpixman-1-dev libxcb-shm0-dev'\n\\item 'Suggested packages:'\n\\item '  libcairo2-doc'\n\\item 'The following NEW packages will be installed:'\n\\item '  libcairo-script-interpreter2 libcairo2-dev libpixman-1-dev libxcb-shm0-dev'\n\\item '0 upgraded, 4 newly installed, 0 to remove and 37 not upgraded.'\n\\item 'Need to get 930 kB of archives.'\n\\item 'After this operation, 3,986 kB of additional disk space will be used.'\n\\item 'Get:1 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libcairo-script-interpreter2 amd64 1.15.10-2ubuntu0.1 {[}53.5 kB{]}'\n\\item 'Get:2 http://archive.ubuntu.com/ubuntu bionic/main amd64 libpixman-1-dev amd64 0.34.0-2 {[}244 kB{]}'\n\\item 'Get:3 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libxcb-shm0-dev amd64 1.13-2\\textasciitilde{}ubuntu18.04 {[}6,684 B{]}'\n\\item 'Get:4 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libcairo2-dev amd64 1.15.10-2ubuntu0.1 {[}626 kB{]}'\n\\item 'Fetched 930 kB in 1s (1,005 kB/s)'\n\\item 'Selecting previously unselected package libcairo-script-interpreter2:amd64.\\textbackslash{}r'\n\\item '(Reading database ... \\textbackslash{}r(Reading database ... 5\\%\\textbackslash{}r(Reading database ... 10\\%\\textbackslash{}r(Reading database ... 15\\%\\textbackslash{}r(Reading database ... 20\\%\\textbackslash{}r(Reading database ... 25\\%\\textbackslash{}r(Reading database ... 30\\%\\textbackslash{}r(Reading database ... 35\\%\\textbackslash{}r(Reading database ... 40\\%\\textbackslash{}r(Reading database ... 45\\%\\textbackslash{}r(Reading database ... 50\\%\\textbackslash{}r(Reading database ... 55\\%\\textbackslash{}r(Reading database ... 60\\%\\textbackslash{}r(Reading database ... 65\\%\\textbackslash{}r(Reading database ... 70\\%\\textbackslash{}r(Reading database ... 75\\%\\textbackslash{}r(Reading database ... 80\\%\\textbackslash{}r(Reading database ... 85\\%\\textbackslash{}r(Reading database ... 90\\%\\textbackslash{}r(Reading database ... 95\\%\\textbackslash{}r(Reading database ... 100\\%\\textbackslash{}r(Reading database ... 155319 files and directories currently installed.)\\textbackslash{}r'\n\\item 'Preparing to unpack .../libcairo-script-interpreter2\\_1.15.10-2ubuntu0.1\\_amd64.deb ...\\textbackslash{}r'\n\\item 'Unpacking libcairo-script-interpreter2:amd64 (1.15.10-2ubuntu0.1) ...\\textbackslash{}r'\n\\item 'Selecting previously unselected package libpixman-1-dev:amd64.\\textbackslash{}r'\n\\item 'Preparing to unpack .../libpixman-1-dev\\_0.34.0-2\\_amd64.deb ...\\textbackslash{}r'\n\\item 'Unpacking libpixman-1-dev:amd64 (0.34.0-2) ...\\textbackslash{}r'\n\\item 'Selecting previously unselected package libxcb-shm0-dev:amd64.\\textbackslash{}r'\n\\item 'Preparing to unpack .../libxcb-shm0-dev\\_1.13-2\\textasciitilde{}ubuntu18.04\\_amd64.deb ...\\textbackslash{}r'\n\\item 'Unpacking libxcb-shm0-dev:amd64 (1.13-2\\textasciitilde{}ubuntu18.04) ...\\textbackslash{}r'\n\\item 'Selecting previously unselected package libcairo2-dev:amd64.\\textbackslash{}r'\n\\item 'Preparing to unpack .../libcairo2-dev\\_1.15.10-2ubuntu0.1\\_amd64.deb ...\\textbackslash{}r'\n\\item 'Unpacking libcairo2-dev:amd64 (1.15.10-2ubuntu0.1) ...\\textbackslash{}r'\n\\item 'Setting up libcairo-script-interpreter2:amd64 (1.15.10-2ubuntu0.1) ...\\textbackslash{}r'\n\\item 'Setting up libxcb-shm0-dev:amd64 (1.13-2\\textasciitilde{}ubuntu18.04) ...\\textbackslash{}r'\n\\item 'Setting up libpixman-1-dev:amd64 (0.34.0-2) ...\\textbackslash{}r'\n\\item 'Setting up libcairo2-dev:amd64 (1.15.10-2ubuntu0.1) ...\\textbackslash{}r'\n\\item 'Processing triggers for libc-bin (2.27-3ubuntu1.3) ...\\textbackslash{}r'\n\\item '/sbin/ldconfig.real: /usr/local/lib/python3.7/dist-packages/ideep4py/lib/libmkldnn.so.0 is not a symbolic link\\textbackslash{}r'\n\\item '\\textbackslash{}r'\n\\end{enumerate*}\n",
            "text/markdown": "1. 'Reading package lists...'\n2. 'Building dependency tree...'\n3. 'Reading state information...'\n4. 'The following additional packages will be installed:'\n5. <span style=white-space:pre-wrap>'  libcairo-script-interpreter2 libpixman-1-dev libxcb-shm0-dev'</span>\n6. 'Suggested packages:'\n7. <span style=white-space:pre-wrap>'  libcairo2-doc'</span>\n8. 'The following NEW packages will be installed:'\n9. <span style=white-space:pre-wrap>'  libcairo-script-interpreter2 libcairo2-dev libpixman-1-dev libxcb-shm0-dev'</span>\n10. '0 upgraded, 4 newly installed, 0 to remove and 37 not upgraded.'\n11. 'Need to get 930 kB of archives.'\n12. 'After this operation, 3,986 kB of additional disk space will be used.'\n13. 'Get:1 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libcairo-script-interpreter2 amd64 1.15.10-2ubuntu0.1 [53.5 kB]'\n14. 'Get:2 http://archive.ubuntu.com/ubuntu bionic/main amd64 libpixman-1-dev amd64 0.34.0-2 [244 kB]'\n15. 'Get:3 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libxcb-shm0-dev amd64 1.13-2~ubuntu18.04 [6,684 B]'\n16. 'Get:4 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libcairo2-dev amd64 1.15.10-2ubuntu0.1 [626 kB]'\n17. 'Fetched 930 kB in 1s (1,005 kB/s)'\n18. 'Selecting previously unselected package libcairo-script-interpreter2:amd64.\\r'\n19. '(Reading database ... \\r(Reading database ... 5%\\r(Reading database ... 10%\\r(Reading database ... 15%\\r(Reading database ... 20%\\r(Reading database ... 25%\\r(Reading database ... 30%\\r(Reading database ... 35%\\r(Reading database ... 40%\\r(Reading database ... 45%\\r(Reading database ... 50%\\r(Reading database ... 55%\\r(Reading database ... 60%\\r(Reading database ... 65%\\r(Reading database ... 70%\\r(Reading database ... 75%\\r(Reading database ... 80%\\r(Reading database ... 85%\\r(Reading database ... 90%\\r(Reading database ... 95%\\r(Reading database ... 100%\\r(Reading database ... 155319 files and directories currently installed.)\\r'\n20. 'Preparing to unpack .../libcairo-script-interpreter2_1.15.10-2ubuntu0.1_amd64.deb ...\\r'\n21. 'Unpacking libcairo-script-interpreter2:amd64 (1.15.10-2ubuntu0.1) ...\\r'\n22. 'Selecting previously unselected package libpixman-1-dev:amd64.\\r'\n23. 'Preparing to unpack .../libpixman-1-dev_0.34.0-2_amd64.deb ...\\r'\n24. 'Unpacking libpixman-1-dev:amd64 (0.34.0-2) ...\\r'\n25. 'Selecting previously unselected package libxcb-shm0-dev:amd64.\\r'\n26. 'Preparing to unpack .../libxcb-shm0-dev_1.13-2~ubuntu18.04_amd64.deb ...\\r'\n27. 'Unpacking libxcb-shm0-dev:amd64 (1.13-2~ubuntu18.04) ...\\r'\n28. 'Selecting previously unselected package libcairo2-dev:amd64.\\r'\n29. 'Preparing to unpack .../libcairo2-dev_1.15.10-2ubuntu0.1_amd64.deb ...\\r'\n30. 'Unpacking libcairo2-dev:amd64 (1.15.10-2ubuntu0.1) ...\\r'\n31. 'Setting up libcairo-script-interpreter2:amd64 (1.15.10-2ubuntu0.1) ...\\r'\n32. 'Setting up libxcb-shm0-dev:amd64 (1.13-2~ubuntu18.04) ...\\r'\n33. 'Setting up libpixman-1-dev:amd64 (0.34.0-2) ...\\r'\n34. 'Setting up libcairo2-dev:amd64 (1.15.10-2ubuntu0.1) ...\\r'\n35. 'Processing triggers for libc-bin (2.27-3ubuntu1.3) ...\\r'\n36. '/sbin/ldconfig.real: /usr/local/lib/python3.7/dist-packages/ideep4py/lib/libmkldnn.so.0 is not a symbolic link\\r'\n37. '\\r'\n\n\n",
            "text/html": [
              "<style>\n",
              ".list-inline {list-style: none; margin:0; padding: 0}\n",
              ".list-inline>li {display: inline-block}\n",
              ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
              "</style>\n",
              "<ol class=list-inline><li>'Reading package lists...'</li><li>'Building dependency tree...'</li><li>'Reading state information...'</li><li>'The following additional packages will be installed:'</li><li><span style=white-space:pre-wrap>'  libcairo-script-interpreter2 libpixman-1-dev libxcb-shm0-dev'</span></li><li>'Suggested packages:'</li><li><span style=white-space:pre-wrap>'  libcairo2-doc'</span></li><li>'The following NEW packages will be installed:'</li><li><span style=white-space:pre-wrap>'  libcairo-script-interpreter2 libcairo2-dev libpixman-1-dev libxcb-shm0-dev'</span></li><li>'0 upgraded, 4 newly installed, 0 to remove and 37 not upgraded.'</li><li>'Need to get 930 kB of archives.'</li><li>'After this operation, 3,986 kB of additional disk space will be used.'</li><li>'Get:1 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libcairo-script-interpreter2 amd64 1.15.10-2ubuntu0.1 [53.5 kB]'</li><li>'Get:2 http://archive.ubuntu.com/ubuntu bionic/main amd64 libpixman-1-dev amd64 0.34.0-2 [244 kB]'</li><li>'Get:3 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libxcb-shm0-dev amd64 1.13-2~ubuntu18.04 [6,684 B]'</li><li>'Get:4 http://archive.ubuntu.com/ubuntu bionic-updates/main amd64 libcairo2-dev amd64 1.15.10-2ubuntu0.1 [626 kB]'</li><li>'Fetched 930 kB in 1s (1,005 kB/s)'</li><li>'Selecting previously unselected package libcairo-script-interpreter2:amd64.\\r'</li><li>'(Reading database ... \\r(Reading database ... 5%\\r(Reading database ... 10%\\r(Reading database ... 15%\\r(Reading database ... 20%\\r(Reading database ... 25%\\r(Reading database ... 30%\\r(Reading database ... 35%\\r(Reading database ... 40%\\r(Reading database ... 45%\\r(Reading database ... 50%\\r(Reading database ... 55%\\r(Reading database ... 60%\\r(Reading database ... 65%\\r(Reading database ... 70%\\r(Reading database ... 75%\\r(Reading database ... 80%\\r(Reading database ... 85%\\r(Reading database ... 90%\\r(Reading database ... 95%\\r(Reading database ... 100%\\r(Reading database ... 155319 files and directories currently installed.)\\r'</li><li>'Preparing to unpack .../libcairo-script-interpreter2_1.15.10-2ubuntu0.1_amd64.deb ...\\r'</li><li>'Unpacking libcairo-script-interpreter2:amd64 (1.15.10-2ubuntu0.1) ...\\r'</li><li>'Selecting previously unselected package libpixman-1-dev:amd64.\\r'</li><li>'Preparing to unpack .../libpixman-1-dev_0.34.0-2_amd64.deb ...\\r'</li><li>'Unpacking libpixman-1-dev:amd64 (0.34.0-2) ...\\r'</li><li>'Selecting previously unselected package libxcb-shm0-dev:amd64.\\r'</li><li>'Preparing to unpack .../libxcb-shm0-dev_1.13-2~ubuntu18.04_amd64.deb ...\\r'</li><li>'Unpacking libxcb-shm0-dev:amd64 (1.13-2~ubuntu18.04) ...\\r'</li><li>'Selecting previously unselected package libcairo2-dev:amd64.\\r'</li><li>'Preparing to unpack .../libcairo2-dev_1.15.10-2ubuntu0.1_amd64.deb ...\\r'</li><li>'Unpacking libcairo2-dev:amd64 (1.15.10-2ubuntu0.1) ...\\r'</li><li>'Setting up libcairo-script-interpreter2:amd64 (1.15.10-2ubuntu0.1) ...\\r'</li><li>'Setting up libxcb-shm0-dev:amd64 (1.13-2~ubuntu18.04) ...\\r'</li><li>'Setting up libpixman-1-dev:amd64 (0.34.0-2) ...\\r'</li><li>'Setting up libcairo2-dev:amd64 (1.15.10-2ubuntu0.1) ...\\r'</li><li>'Processing triggers for libc-bin (2.27-3ubuntu1.3) ...\\r'</li><li>'/sbin/ldconfig.real: /usr/local/lib/python3.7/dist-packages/ideep4py/lib/libmkldnn.so.0 is not a symbolic link\\r'</li><li>'\\r'</li></ol>\n"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wFuTF2MUEiAk"
      },
      "source": [
        "## Install R packages"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "0c02HPWEh2nU",
        "outputId": "f955e816-fc28-47b5-a603-b2c57dcb3e8d"
      },
      "source": [
        "install.packages('BiocManager')"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into ‘/usr/local/lib/R/site-library’\n",
            "(as ‘lib’ is unspecified)\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "8EZ8Zm7zagc0"
      },
      "source": [
        "required_packages <- c(\n",
        "  'devtools',\n",
        "  'GenomicRanges', 'rtracklayer', \n",
        "  'BSgenome.Mmusculus.UCSC.mm10',\n",
        "  'EnrichedHeatmap',  'circlize'\n",
        ")"
      ],
      "execution_count": 5,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "icve41ciuJim",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "56260ae0-298f-4e50-aca4-b80dc6bbfa77"
      },
      "source": [
        "missing_packages <- required_packages[!required_packages %in% rownames(installed.packages())]\n",
        "if (length(missing_packages) > 0){\n",
        "    BiocManager::install(missing_packages)\n",
        "}"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "'getOption(\"repos\")' replaces Bioconductor standard repositories, see\n",
            "'?repositories' for details\n",
            "\n",
            "replacement repositories:\n",
            "    CRAN: https://cran.rstudio.com\n",
            "\n",
            "\n",
            "Bioconductor version 3.13 (BiocManager 1.30.16), R 4.1.1 (2021-08-10)\n",
            "\n",
            "Installing package(s) 'BiocVersion', 'GenomicRanges', 'rtracklayer',\n",
            "  'BSgenome.Mmusculus.UCSC.mm10', 'EnrichedHeatmap', 'circlize'\n",
            "\n",
            "also installing the dependencies ‘formatR’, ‘lambda.r’, ‘futile.options’, ‘futile.logger’, ‘snow’, ‘BH’, ‘MatrixGenerics’, ‘Biobase’, ‘DelayedArray’, ‘iterators’, ‘GenomeInfoDbData’, ‘bitops’, ‘BiocParallel’, ‘Rhtslib’, ‘SummarizedExperiment’, ‘rjson’, ‘clue’, ‘png’, ‘Cairo’, ‘foreach’, ‘doParallel’, ‘BiocGenerics’, ‘S4Vectors’, ‘IRanges’, ‘GenomeInfoDb’, ‘XVector’, ‘XML’, ‘Biostrings’, ‘zlibbioc’, ‘RCurl’, ‘Rsamtools’, ‘GenomicAlignments’, ‘BiocIO’, ‘restfulr’, ‘BSgenome’, ‘ComplexHeatmap’, ‘matrixStats’, ‘GetoptLong’, ‘locfit’, ‘GlobalOptions’, ‘shape’\n",
            "\n",
            "\n",
            "Old packages: 'cpp11', 'data.table', 'desc', 'diffobj', 'digest', 'hms',\n",
            "  'knitr', 'lifecycle', 'lubridate', 'mime', 'openssl', 'pillar', 'rcmdcheck',\n",
            "  'readr', 'remotes', 'stringi', 'testthat', 'tibble', 'tidyr', 'tinytex',\n",
            "  'mgcv', 'nlme'\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Iwt7_GQUr2KA",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a0cb1b9a-5445-472f-c758-3f04cee45960"
      },
      "source": [
        "BiocManager::install(c('Gviz','limma','Repitools'))"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "'getOption(\"repos\")' replaces Bioconductor standard repositories, see\n",
            "'?repositories' for details\n",
            "\n",
            "replacement repositories:\n",
            "    CRAN: https://cran.rstudio.com\n",
            "\n",
            "\n",
            "Bioconductor version 3.13 (BiocManager 1.30.16), R 4.1.1 (2021-08-10)\n",
            "\n",
            "Installing package(s) 'Gviz', 'limma', 'Repitools'\n",
            "\n",
            "also installing the dependencies ‘checkmate’, ‘htmlwidgets’, ‘xtable’, ‘affyio’, ‘preprocessCore’, ‘filelock’, ‘plogr’, ‘lazyeval’, ‘Formula’, ‘gridExtra’, ‘htmlTable’, ‘viridis’, ‘annotate’, ‘affy’, ‘BiocFileCache’, ‘RSQLite’, ‘KEGGREST’, ‘AnnotationFilter’, ‘ProtGenerics’, ‘Hmisc’, ‘dichromat’, ‘VariantAnnotation’, ‘jpeg’, ‘gtools’, ‘caTools’, ‘genefilter’, ‘vsn’, ‘truncnorm’, ‘biomaRt’, ‘AnnotationDbi’, ‘GenomicFeatures’, ‘ensembldb’, ‘biovizBase’, ‘latticeExtra’, ‘gplots’, ‘gsmoothr’, ‘edgeR’, ‘DNAcopy’, ‘Ringo’, ‘Rsolnp’\n",
            "\n",
            "\n",
            "Old packages: 'cpp11', 'data.table', 'desc', 'diffobj', 'digest', 'hms',\n",
            "  'knitr', 'lifecycle', 'lubridate', 'mime', 'openssl', 'pillar', 'rcmdcheck',\n",
            "  'readr', 'remotes', 'stringi', 'testthat', 'tibble', 'tidyr', 'tinytex',\n",
            "  'mgcv', 'nlme'\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-r47NH7jiD99"
      },
      "source": [
        "## Load R packages"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nQFQk04TzjFj",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "fd7cda37-4945-4a11-ac1f-32e00c94e666"
      },
      "source": [
        "library(GenomicRanges)\n",
        "library(dplyr)\n",
        "library(BSgenome.Mmusculus.UCSC.mm10)\n",
        "library(SummarizedExperiment)\n",
        "library(ggplot2)\n",
        "library(EnrichedHeatmap)\n",
        "library(circlize) # colorRamp2\n",
        "library(devtools)\n",
        "library(Repitools)\n",
        "library(Gviz)\n",
        "library(limma)"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Loading required package: stats4\n",
            "\n",
            "Loading required package: BiocGenerics\n",
            "\n",
            "Loading required package: parallel\n",
            "\n",
            "\n",
            "Attaching package: ‘BiocGenerics’\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:parallel’:\n",
            "\n",
            "    clusterApply, clusterApplyLB, clusterCall, clusterEvalQ,\n",
            "    clusterExport, clusterMap, parApply, parCapply, parLapply,\n",
            "    parLapplyLB, parRapply, parSapply, parSapplyLB\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:stats’:\n",
            "\n",
            "    IQR, mad, sd, var, xtabs\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:base’:\n",
            "\n",
            "    anyDuplicated, append, as.data.frame, basename, cbind, colnames,\n",
            "    dirname, do.call, duplicated, eval, evalq, Filter, Find, get, grep,\n",
            "    grepl, intersect, is.unsorted, lapply, Map, mapply, match, mget,\n",
            "    order, paste, pmax, pmax.int, pmin, pmin.int, Position, rank,\n",
            "    rbind, Reduce, rownames, sapply, setdiff, sort, table, tapply,\n",
            "    union, unique, unsplit, which.max, which.min\n",
            "\n",
            "\n",
            "Loading required package: S4Vectors\n",
            "\n",
            "\n",
            "Attaching package: ‘S4Vectors’\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:base’:\n",
            "\n",
            "    expand.grid, I, unname\n",
            "\n",
            "\n",
            "Loading required package: IRanges\n",
            "\n",
            "Loading required package: GenomeInfoDb\n",
            "\n",
            "\n",
            "Attaching package: ‘dplyr’\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:GenomicRanges’:\n",
            "\n",
            "    intersect, setdiff, union\n",
            "\n",
            "\n",
            "The following object is masked from ‘package:GenomeInfoDb’:\n",
            "\n",
            "    intersect\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:IRanges’:\n",
            "\n",
            "    collapse, desc, intersect, setdiff, slice, union\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:S4Vectors’:\n",
            "\n",
            "    first, intersect, rename, setdiff, setequal, union\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:BiocGenerics’:\n",
            "\n",
            "    combine, intersect, setdiff, union\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:stats’:\n",
            "\n",
            "    filter, lag\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:base’:\n",
            "\n",
            "    intersect, setdiff, setequal, union\n",
            "\n",
            "\n",
            "Loading required package: BSgenome\n",
            "\n",
            "Loading required package: Biostrings\n",
            "\n",
            "Loading required package: XVector\n",
            "\n",
            "\n",
            "Attaching package: ‘Biostrings’\n",
            "\n",
            "\n",
            "The following object is masked from ‘package:base’:\n",
            "\n",
            "    strsplit\n",
            "\n",
            "\n",
            "Loading required package: rtracklayer\n",
            "\n",
            "Loading required package: MatrixGenerics\n",
            "\n",
            "Loading required package: matrixStats\n",
            "\n",
            "\n",
            "Attaching package: ‘matrixStats’\n",
            "\n",
            "\n",
            "The following object is masked from ‘package:dplyr’:\n",
            "\n",
            "    count\n",
            "\n",
            "\n",
            "\n",
            "Attaching package: ‘MatrixGenerics’\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:matrixStats’:\n",
            "\n",
            "    colAlls, colAnyNAs, colAnys, colAvgsPerRowSet, colCollapse,\n",
            "    colCounts, colCummaxs, colCummins, colCumprods, colCumsums,\n",
            "    colDiffs, colIQRDiffs, colIQRs, colLogSumExps, colMadDiffs,\n",
            "    colMads, colMaxs, colMeans2, colMedians, colMins, colOrderStats,\n",
            "    colProds, colQuantiles, colRanges, colRanks, colSdDiffs, colSds,\n",
            "    colSums2, colTabulates, colVarDiffs, colVars, colWeightedMads,\n",
            "    colWeightedMeans, colWeightedMedians, colWeightedSds,\n",
            "    colWeightedVars, rowAlls, rowAnyNAs, rowAnys, rowAvgsPerColSet,\n",
            "    rowCollapse, rowCounts, rowCummaxs, rowCummins, rowCumprods,\n",
            "    rowCumsums, rowDiffs, rowIQRDiffs, rowIQRs, rowLogSumExps,\n",
            "    rowMadDiffs, rowMads, rowMaxs, rowMeans2, rowMedians, rowMins,\n",
            "    rowOrderStats, rowProds, rowQuantiles, rowRanges, rowRanks,\n",
            "    rowSdDiffs, rowSds, rowSums2, rowTabulates, rowVarDiffs, rowVars,\n",
            "    rowWeightedMads, rowWeightedMeans, rowWeightedMedians,\n",
            "    rowWeightedSds, rowWeightedVars\n",
            "\n",
            "\n",
            "Loading required package: Biobase\n",
            "\n",
            "Welcome to Bioconductor\n",
            "\n",
            "    Vignettes contain introductory material; view with\n",
            "    'browseVignettes()'. To cite Bioconductor, see\n",
            "    'citation(\"Biobase\")', and for packages 'citation(\"pkgname\")'.\n",
            "\n",
            "\n",
            "\n",
            "Attaching package: ‘Biobase’\n",
            "\n",
            "\n",
            "The following object is masked from ‘package:MatrixGenerics’:\n",
            "\n",
            "    rowMedians\n",
            "\n",
            "\n",
            "The following objects are masked from ‘package:matrixStats’:\n",
            "\n",
            "    anyMissing, rowMedians\n",
            "\n",
            "\n",
            "Loading required package: grid\n",
            "\n",
            "\n",
            "Attaching package: ‘grid’\n",
            "\n",
            "\n",
            "The following object is masked from ‘package:Biostrings’:\n",
            "\n",
            "    pattern\n",
            "\n",
            "\n",
            "Loading required package: ComplexHeatmap\n",
            "\n",
            "========================================\n",
            "ComplexHeatmap version 2.8.0\n",
            "Bioconductor page: http://bioconductor.org/packages/ComplexHeatmap/\n",
            "Github page: https://github.com/jokergoo/ComplexHeatmap\n",
            "Documentation: http://jokergoo.github.io/ComplexHeatmap-reference\n",
            "\n",
            "If you use it in published research, please cite:\n",
            "Gu, Z. Complex heatmaps reveal patterns and correlations in multidimensional \n",
            "  genomic data. Bioinformatics 2016.\n",
            "\n",
            "The new InteractiveComplexHeatmap package can directly export static \n",
            "complex heatmaps into an interactive Shiny app with zero effort. Have a try!\n",
            "\n",
            "This message can be suppressed by:\n",
            "  suppressPackageStartupMessages(library(ComplexHeatmap))\n",
            "========================================\n",
            "\n",
            "\n",
            "========================================\n",
            "EnrichedHeatmap version 1.22.0\n",
            "Bioconductor page: http://bioconductor.org/packages/EnrichedHeatmap/\n",
            "Github page: https://github.com/jokergoo/EnrichedHeatmap\n",
            "Documentation: http://bioconductor.org/packages/EnrichedHeatmap/\n",
            "\n",
            "If you use it in published research, please cite:\n",
            "Gu, Z. EnrichedHeatmap: an R/Bioconductor package for comprehensive \n",
            "visualization of genomic signal associations. BMC Genomics 2018.\n",
            "\n",
            "This message can be suppressed by:\n",
            "  suppressPackageStartupMessages(library(EnrichedHeatmap))\n",
            "========================================\n",
            "\n",
            "\n",
            "========================================\n",
            "circlize version 0.4.13\n",
            "CRAN page: https://cran.r-project.org/package=circlize\n",
            "Github page: https://github.com/jokergoo/circlize\n",
            "Documentation: https://jokergoo.github.io/circlize_book/book/\n",
            "\n",
            "If you use it in published research, please cite:\n",
            "Gu, Z. circlize implements and enhances circular visualization\n",
            "  in R. Bioinformatics 2014.\n",
            "\n",
            "This message can be suppressed by:\n",
            "  suppressPackageStartupMessages(library(circlize))\n",
            "========================================\n",
            "\n",
            "\n",
            "Loading required package: usethis\n",
            "\n",
            "\n",
            "Attaching package: ‘Repitools’\n",
            "\n",
            "\n",
            "The following object is masked from ‘package:rtracklayer’:\n",
            "\n",
            "    blocks\n",
            "\n",
            "\n",
            "\n",
            "Attaching package: 'limma'\n",
            "\n",
            "\n",
            "The following object is masked from 'package:BiocGenerics':\n",
            "\n",
            "    plotMA\n",
            "\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yDlFgJmnDyvX"
      },
      "source": [
        "# Installing R-package aaron"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uEQRWX0Rr6U-",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "e16df372-9335-48f4-9b1f-9d3b36be24dd"
      },
      "source": [
        "devtools::install_github('dsouz072/aaRon')"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Downloading GitHub repo dsouz072/aaRon@HEAD\n",
            "\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "stringi    (1.7.4  -> 1.7.5 ) [CRAN]\n",
            "pillar     (1.6.2  -> 1.6.3 ) [CRAN]\n",
            "lifecycle  (1.0.0  -> 1.0.1 ) [CRAN]\n",
            "plyr       (NA     -> 1.8.6 ) [CRAN]\n",
            "tibble     (3.1.4  -> 3.1.5 ) [CRAN]\n",
            "digest     (0.6.27 -> 0.6.28) [CRAN]\n",
            "data.table (1.14.0 -> 1.14.2) [CRAN]\n",
            "reshape2   (NA     -> 1.4.4 ) [CRAN]\n",
            "zoo        (NA     -> 1.8-9 ) [CRAN]\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Skipping 11 packages not available: Gviz, Repitools, limma, rtracklayer, IRanges, Biostrings, Rsamtools, S4Vectors, GenomeInfoDb, GenomicAlignments, GenomicRanges\n",
            "\n",
            "Installing 9 packages: stringi, pillar, lifecycle, plyr, tibble, digest, data.table, reshape2, zoo\n",
            "\n",
            "Installing packages into '/usr/local/lib/R/site-library'\n",
            "(as 'lib' is unspecified)\n",
            "\n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\u001b[32m✔\u001b[39m  \u001b[90mchecking for file ‘/tmp/RtmpKRB7wO/remotes4e12b78d4a/dsouz072-aaRon-4884e27/DESCRIPTION’\u001b[39m\u001b[36m\u001b[36m (449ms)\u001b[36m\u001b[39m\n",
            "\u001b[90m─\u001b[39m\u001b[90m  \u001b[39m\u001b[90mpreparing ‘aaRon’:\u001b[39m\u001b[36m\u001b[39m\n",
            "\u001b[32m✔\u001b[39m  \u001b[90mchecking DESCRIPTION meta-information\u001b[39m\u001b[36m\u001b[39m\n",
            "\u001b[90m─\u001b[39m\u001b[90m  \u001b[39m\u001b[90mchecking for LF line-endings in source and make files and shell scripts\u001b[39m\u001b[36m\u001b[39m\n",
            "\u001b[90m─\u001b[39m\u001b[90m  \u001b[39m\u001b[90mchecking for empty or unneeded directories\u001b[39m\u001b[36m\u001b[39m\n",
            "   Omitted ‘LazyData’ from DESCRIPTION\n",
            "\u001b[90m─\u001b[39m\u001b[90m  \u001b[39m\u001b[90mbuilding ‘aaRon_0.9.5.tar.gz’\u001b[39m\u001b[36m\u001b[39m\n",
            "   \n"
          ]
        },
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Installing package into '/usr/local/lib/R/site-library'\n",
            "(as 'lib' is unspecified)\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "zDQdA8urr8D4",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "80d163de-235e-4456-ad76-3c73aba5e865"
      },
      "source": [
        "library(aaRon)"
      ],
      "execution_count": 10,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "\n",
            "Attaching package: 'aaRon'\n",
            "\n",
            "\n",
            "The following object is masked from 'package:limma':\n",
            "\n",
            "    plotDensities\n",
            "\n",
            "\n",
            "The following object is masked from 'package:BiocGenerics':\n",
            "\n",
            "    unstrand\n",
            "\n",
            "\n",
            "The following object is masked from 'package:base':\n",
            "\n",
            "    q\n",
            "\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PyJoh9bxbC1C"
      },
      "source": [
        "## Read the Etv2 ChIP-seq peaks at D1 MEF reprogramming"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "nZtoB27dBsjA",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 567
        },
        "outputId": "6187bb10-45a3-4ad4-8dee-2f565958d969"
      },
      "source": [
        "all_etv2_peaks_url <- 'https://s3.msi.umn.edu/gongx030/datasets/dataset=Etv2PioneerChIPseq_version=20191203a/all_Etv2_peaks.rds'\n",
        "gr <- readRDS(gzcon(url(all_etv2_peaks_url)))\n",
        "gr\n",
        "colnames(gr$group)"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "GRanges object with 162010 ranges and 4 metadata columns:\n",
              "           seqnames            ranges strand |                peak_id     score\n",
              "              <Rle>         <IRanges>  <Rle> |            <character> <numeric>\n",
              "       [1]     chr1   3037784-3037983      * | /panfs/roc/scratch/g..  16.22768\n",
              "       [2]     chr1   3263790-3263989      * | /panfs/roc/scratch/g..   8.36521\n",
              "       [3]     chr1   3344682-3344881      * | /panfs/roc/scratch/g..   9.73217\n",
              "       [4]     chr1   3460640-3460839      * | /panfs/roc/scratch/g..   3.92081\n",
              "       [5]     chr1   3490314-3490513      * | /panfs/roc/scratch/g..  12.29730\n",
              "       ...      ...               ...    ... .                    ...       ...\n",
              "  [162006]     chrY 90828936-90829135      * | /panfs/roc/scratch/g.. 160.15463\n",
              "  [162007]     chrY 90836259-90836458      * | /panfs/roc/scratch/g..   8.27339\n",
              "  [162008]     chrY 90841624-90841823      * | /panfs/roc/scratch/g..   1.53792\n",
              "  [162009]     chrY 90842563-90842762      * | /panfs/roc/scratch/g..  11.78216\n",
              "  [162010]     chrY 90843810-90844009      * | /panfs/roc/scratch/g..   5.92807\n",
              "                    source                 group\n",
              "               <character>              <matrix>\n",
              "       [1] MEF_Dox_d2_Etv2   TRUE:TRUE:FALSE:...\n",
              "       [2]  EB_Dox_3h_Etv2 FALSE:FALSE:FALSE:...\n",
              "       [3] MEF_Dox_d2_Etv2  FALSE:TRUE:FALSE:...\n",
              "       [4] MEF_Dox_d2_Etv2  FALSE:TRUE:FALSE:...\n",
              "       [5] MEF_Dox_d2_Etv2   TRUE:TRUE:FALSE:...\n",
              "       ...             ...                   ...\n",
              "  [162006] MEF_Dox_d2_Etv2    TRUE:TRUE:TRUE:...\n",
              "  [162007] MEF_Dox_d7_Etv2  FALSE:FALSE:TRUE:...\n",
              "  [162008] MEF_Dox_d1_Etv2  TRUE:FALSE:FALSE:...\n",
              "  [162009] MEF_Dox_d1_Etv2  TRUE:FALSE:FALSE:...\n",
              "  [162010] MEF_Dox_d1_Etv2  TRUE:FALSE:FALSE:...\n",
              "  -------\n",
              "  seqinfo: 21 sequences from an unspecified genome; no seqlengths"
            ]
          },
          "metadata": {}
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] \"MEF_Dox_d1_Etv2\" \"MEF_Dox_d2_Etv2\" \"MEF_Dox_d7_Etv2\" \"EB_Dox_3h_Etv2\" \n",
              "[5] \"EB_Dox_12h_Etv2\""
            ],
            "text/latex": "\\begin{enumerate*}\n\\item 'MEF\\_Dox\\_d1\\_Etv2'\n\\item 'MEF\\_Dox\\_d2\\_Etv2'\n\\item 'MEF\\_Dox\\_d7\\_Etv2'\n\\item 'EB\\_Dox\\_3h\\_Etv2'\n\\item 'EB\\_Dox\\_12h\\_Etv2'\n\\end{enumerate*}\n",
            "text/markdown": "1. 'MEF_Dox_d1_Etv2'\n2. 'MEF_Dox_d2_Etv2'\n3. 'MEF_Dox_d7_Etv2'\n4. 'EB_Dox_3h_Etv2'\n5. 'EB_Dox_12h_Etv2'\n\n\n",
            "text/html": [
              "<style>\n",
              ".list-inline {list-style: none; margin:0; padding: 0}\n",
              ".list-inline>li {display: inline-block}\n",
              ".list-inline>li:not(:last-child)::after {content: \"\\00b7\"; padding: 0 .5ex}\n",
              "</style>\n",
              "<ol class=list-inline><li>'MEF_Dox_d1_Etv2'</li><li>'MEF_Dox_d2_Etv2'</li><li>'MEF_Dox_d7_Etv2'</li><li>'EB_Dox_3h_Etv2'</li><li>'EB_Dox_12h_Etv2'</li></ol>\n"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bCsSZJp7BS4r",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 550
        },
        "outputId": "fae9908c-50ee-4770-d4db-075130f13f66"
      },
      "source": [
        "peaks <- gr[gr$group[, 'MEF_Dox_d1_Etv2']]\n",
        "seqlevels(peaks) <- seqlevels(BSgenome.Mmusculus.UCSC.mm10)\n",
        "seqlengths(peaks) <- seqlengths(BSgenome.Mmusculus.UCSC.mm10)\n",
        "seqinfo(peaks) <- seqinfo(BSgenome.Mmusculus.UCSC.mm10)\n",
        "peaks"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "GRanges object with 123337 ranges and 4 metadata columns:\n",
              "           seqnames            ranges strand |                peak_id     score\n",
              "              <Rle>         <IRanges>  <Rle> |            <character> <numeric>\n",
              "       [1]     chr1   3037784-3037983      * | /panfs/roc/scratch/g..  16.22768\n",
              "       [2]     chr1   3490314-3490513      * | /panfs/roc/scratch/g..  12.29730\n",
              "       [3]     chr1   3531626-3531825      * | /panfs/roc/scratch/g..  16.22768\n",
              "       [4]     chr1   3671125-3671324      * | /panfs/roc/scratch/g..   6.73792\n",
              "       [5]     chr1   3671746-3671945      * | /panfs/roc/scratch/g..   9.54304\n",
              "       ...      ...               ...    ... .                    ...       ...\n",
              "  [123333]     chrY 90828479-90828678      * | /panfs/roc/scratch/g..  20.49355\n",
              "  [123334]     chrY 90828936-90829135      * | /panfs/roc/scratch/g.. 160.15463\n",
              "  [123335]     chrY 90841624-90841823      * | /panfs/roc/scratch/g..   1.53792\n",
              "  [123336]     chrY 90842563-90842762      * | /panfs/roc/scratch/g..  11.78216\n",
              "  [123337]     chrY 90843810-90844009      * | /panfs/roc/scratch/g..   5.92807\n",
              "                    source                group\n",
              "               <character>             <matrix>\n",
              "       [1] MEF_Dox_d2_Etv2  TRUE:TRUE:FALSE:...\n",
              "       [2] MEF_Dox_d2_Etv2  TRUE:TRUE:FALSE:...\n",
              "       [3] MEF_Dox_d2_Etv2  TRUE:TRUE:FALSE:...\n",
              "       [4] MEF_Dox_d1_Etv2 TRUE:FALSE:FALSE:...\n",
              "       [5] MEF_Dox_d1_Etv2 TRUE:FALSE:FALSE:...\n",
              "       ...             ...                  ...\n",
              "  [123333] MEF_Dox_d2_Etv2  TRUE:TRUE:FALSE:...\n",
              "  [123334] MEF_Dox_d2_Etv2   TRUE:TRUE:TRUE:...\n",
              "  [123335] MEF_Dox_d1_Etv2 TRUE:FALSE:FALSE:...\n",
              "  [123336] MEF_Dox_d1_Etv2 TRUE:FALSE:FALSE:...\n",
              "  [123337] MEF_Dox_d1_Etv2 TRUE:FALSE:FALSE:...\n",
              "  -------\n",
              "  seqinfo: 66 sequences (1 circular) from mm10 genome"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "H955kYDsAlxh"
      },
      "source": [
        "## Download related `pileup` and `fold enrichment` bigwig files"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yrzjts0fA4fn"
      },
      "source": [
        "`rtracklayer::import` does not support importing bigwig files with URL starting with 'https://'. We need to download the bigwig files first."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "556fcwk5cAWq"
      },
      "source": [
        "bw_files <- c('MEF_Dox_D1_Etv2' = 'https://s3.msi.umn.edu/gongx030/datasets/dataset=Etv2PioneerChIPseq_version=20191203a/MEF_Dox_d1_Etv2_FE.bw',\n",
        "\t'MNase' = 'https://s3.msi.umn.edu/gongx030/datasets/dataset=Chronis_version=20170519a/MNase_treat_pileup.bw')"
      ],
      "execution_count": 13,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JwWXtA14AwNX"
      },
      "source": [
        "for (i in 1:length(bw_files)){\n",
        "  sprintf('wget -x -c -nH %s', bw_files[i]) %>% system()\n",
        "}\n",
        "local_bw_files <- gsub('https://s3.msi.umn.edu/', './', bw_files)"
      ],
      "execution_count": 14,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CpCEsYACEJSG",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3ba3e48c-dfe9-4a03-dd63-7294bbc89b7a"
      },
      "source": [
        "message(sprintf('all local_bw_files exist: %s', all(file.exists(local_bw_files))))"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "all local_bw_files exist: TRUE\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "RV0xMlSjC8pD"
      },
      "source": [
        "## Prepare normalized matrix for `EnrichedHeatmap`"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "WV4fG0M9J9IN",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "7c25ccc1-3731-457b-b90a-201dfd66db76"
      },
      "source": [
        "sprintf('number of Etv2 peaks in MEFS: %d', length(peaks)) %>% message()"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "number of Etv2 peaks in MEFS: 123337\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JXCBI_lSAPiy",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f11503e9-0d8c-4e4b-c7bf-e4da00a812cc"
      },
      "source": [
        "extend <- 1000\n",
        "w <- 50\n",
        "smooth <- FALSE\n",
        "target_ratio <- 0.2\n",
        "target_width <- width(peaks)[1]\n",
        "message(sprintf('target width: %d\\n', target_width))"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "target width: 200\n",
            "\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "AxPghLVvBKqh",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "78b0a5c1-c524-488e-a0cc-efbd2e45f080"
      },
      "source": [
        "mat <- lapply(local_bw_files, function(bw_file){\n",
        "  cvg <- rtracklayer::import(\n",
        "    bw_file, \n",
        "    which = trim(GenomicRanges::reduce(resize(peaks, fix = 'center', width = target_width + extend * 2)))\n",
        "  )  # returned as a GRanges object\n",
        "  normalizeToMatrix(\n",
        "    cvg, \n",
        "    resize(peaks, fix = 'center', width = 1), \n",
        "    extend = extend, \n",
        "    value_column = 'score', \n",
        "    mean_mode = 'w0', \n",
        "    w = w, \n",
        "    smooth = smooth, \n",
        "    target_ratio = target_ratio\n",
        "  )\n",
        "})"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Warning message in .normarg_seqnames2(seqnames, seqinfo):\n",
            "\"levels in 'seqnames' with no entries in 'seqinfo' were dropped\"\n",
            "Warning message in .normarg_seqnames2(seqnames, seqinfo):\n",
            "\"levels in 'seqnames' with no entries in 'seqinfo' were dropped\"\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pI1aOBKhoMpf"
      },
      "source": [
        "### Getting the cluster information from MNase seq data as done previously by Dr. Wuming"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9XAB8IrgmU_G"
      },
      "source": [
        "i <- seq_len(length(peaks))\n",
        "mean_mnase <- rowMeans(mat[['MNase']][, (extend / w - 1):(extend / w  + 1)])\n",
        "cls <- as.numeric(cut(mean_mnase, quantile(mean_mnase, c(1, 0.75, 0.25, 0)), include.lowest = TRUE))\n",
        "sp <- factor(cls)\n"
      ],
      "execution_count": 19,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KqVjgBZ2BuGU"
      },
      "source": [
        "## Process the GC percent using the bed files"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jBgCKmpxOMBb"
      },
      "source": [
        "bed <- c('D0_Pos' = 'https://s3.msi.umn.edu/dsouz072/datasets/dataset=NOMeseq_MEF_version=20210923a/D0_NOME.bed',\n",
        "         'D1_Pos' = 'https://s3.msi.umn.edu/dsouz072/datasets/dataset=NOMeseq_MEF_version=20210923a/D1_NOME.bed'\n",
        "         )"
      ],
      "execution_count": 20,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JsMGTpqW306S",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "f8044fd6-cd18-4acf-f5a0-7d595bc2d912"
      },
      "source": [
        "for (i in 1:length(bed)){\n",
        "  sprintf('wget -x -c -nH %s', bed[i]) %>% system()\n",
        "}\n",
        "bed <- gsub('https://s3.msi.umn.edu/', './', bed)\n",
        "message(sprintf('all local_bw_files exist: %s', all(file.exists(bed))))"
      ],
      "execution_count": 21,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "all local_bw_files exist: TRUE\n",
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GBcs67R634EW"
      },
      "source": [
        "tab <- lapply(bed, function(b){read.table(b, sep = '\\t')})\n",
        "GCH <- lapply(tab, function(t){GRanges(t$V1, IRanges(t$V2, width=1))})\n",
        "GCH <- lapply(GCH, function(g){\n",
        "  seqlengths(g) <- seqlengths(Mmusculus)[seqlevels(g)]\n",
        "  return(g)})\n",
        "GCH <- lapply(1:length(GCH), function(g){\n",
        "  values(GCH[[g]]) <- as.data.frame(tab[[g]])[,-c(1:3)]\n",
        "  return(GCH[[g]])\n",
        "})"
      ],
      "execution_count": 22,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TH0GwYJ936dW"
      },
      "source": [
        "names(GCH) <- names(tab)\n",
        "GCH <- lapply(names(GCH), function(g){\n",
        "          colnames(mcols(GCH[[g]])) <- c(sprintf('%s.C',g),sprintf('%s.cov',g))\n",
        "          return(GCH[[g]])\n",
        "})\n",
        "names(GCH) <- names(tab)"
      ],
      "execution_count": 23,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5B11yYfkFoM3"
      },
      "source": [
        "peaks$sp <- sp"
      ],
      "execution_count": 24,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DLAJhuDvF3G9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 550
        },
        "outputId": "b816c397-c83e-40f4-9141-8c78d80bfb0a"
      },
      "source": [
        "peaks"
      ],
      "execution_count": 25,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "GRanges object with 123337 ranges and 5 metadata columns:\n",
              "           seqnames            ranges strand |                peak_id     score\n",
              "              <Rle>         <IRanges>  <Rle> |            <character> <numeric>\n",
              "       [1]     chr1   3037784-3037983      * | /panfs/roc/scratch/g..  16.22768\n",
              "       [2]     chr1   3490314-3490513      * | /panfs/roc/scratch/g..  12.29730\n",
              "       [3]     chr1   3531626-3531825      * | /panfs/roc/scratch/g..  16.22768\n",
              "       [4]     chr1   3671125-3671324      * | /panfs/roc/scratch/g..   6.73792\n",
              "       [5]     chr1   3671746-3671945      * | /panfs/roc/scratch/g..   9.54304\n",
              "       ...      ...               ...    ... .                    ...       ...\n",
              "  [123333]     chrY 90828479-90828678      * | /panfs/roc/scratch/g..  20.49355\n",
              "  [123334]     chrY 90828936-90829135      * | /panfs/roc/scratch/g.. 160.15463\n",
              "  [123335]     chrY 90841624-90841823      * | /panfs/roc/scratch/g..   1.53792\n",
              "  [123336]     chrY 90842563-90842762      * | /panfs/roc/scratch/g..  11.78216\n",
              "  [123337]     chrY 90843810-90844009      * | /panfs/roc/scratch/g..   5.92807\n",
              "                    source                group       sp\n",
              "               <character>             <matrix> <factor>\n",
              "       [1] MEF_Dox_d2_Etv2  TRUE:TRUE:FALSE:...        2\n",
              "       [2] MEF_Dox_d2_Etv2  TRUE:TRUE:FALSE:...        3\n",
              "       [3] MEF_Dox_d2_Etv2  TRUE:TRUE:FALSE:...        1\n",
              "       [4] MEF_Dox_d1_Etv2 TRUE:FALSE:FALSE:...        1\n",
              "       [5] MEF_Dox_d1_Etv2 TRUE:FALSE:FALSE:...        1\n",
              "       ...             ...                  ...      ...\n",
              "  [123333] MEF_Dox_d2_Etv2  TRUE:TRUE:FALSE:...        1\n",
              "  [123334] MEF_Dox_d2_Etv2   TRUE:TRUE:TRUE:...        1\n",
              "  [123335] MEF_Dox_d1_Etv2 TRUE:FALSE:FALSE:...        1\n",
              "  [123336] MEF_Dox_d1_Etv2 TRUE:FALSE:FALSE:...        1\n",
              "  [123337] MEF_Dox_d1_Etv2 TRUE:FALSE:FALSE:...        1\n",
              "  -------\n",
              "  seqinfo: 66 sequences (1 circular) from mm10 genome"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fpXDyjGh4fqJ"
      },
      "source": [
        "Changing the score to 1-GpC methylation percent "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DEz-Qu9isbpb"
      },
      "source": [
        "GCH[[1]]$D0_Pos.C <- 100*(1- GCH[[1]]$D0_Pos.C)"
      ],
      "execution_count": 26,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Yk8q7cghtMt8"
      },
      "source": [
        "GCH[[2]]$D1_Pos.C <- 100*(1- GCH[[2]]$D1_Pos.C)"
      ],
      "execution_count": 27,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VOTMsSc54fCK"
      },
      "source": [
        "# Normalized matrix calculation for Day 0 and Day 1 NOMeseq"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4_rboJtOG3xE",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "a5482b08-177e-4ae5-92eb-1edfc67f4365"
      },
      "source": [
        "mat_d0 <-  normalizeToMatrix(\n",
        "    resize(GCH[[1]], width = 200, fix = 'center'), \n",
        "    resize(peaks, fix = 'center', width = 1), \n",
        "    extend = extend, \n",
        "    value_column = 'D0_Pos.C', \n",
        "    mean_mode = 'w0', \n",
        "    w = w, \n",
        "    smooth = smooth, \n",
        "    target_ratio = target_ratio\n",
        "  )"
      ],
      "execution_count": 28,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Warning message in valid.GenomicRanges.seqinfo(x, suggest.trim = TRUE):\n",
            "\"GRanges object contains 11 out-of-bound ranges located on sequence\n",
            "  chrM. Note that ranges located on a sequence whose length is unknown\n",
            "  (NA) or on a circular sequence are not considered out-of-bound (use\n",
            "  seqlengths() and isCircular() to get the lengths and circularity flags\n",
            "  of the underlying sequences). You can use trim() to trim these ranges.\n",
            "  See ?`trim,GenomicRanges-method` for more information.\"\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "N12MAl2gphlv",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "2ad8810b-c331-416b-83a1-a09a0cab8965"
      },
      "source": [
        "mat_d1 <-  normalizeToMatrix(\n",
        "    resize(GCH[[2]], width = 200, fix = 'center'), \n",
        "    resize(peaks, fix = 'center', width = 1), \n",
        "    extend = extend, \n",
        "    value_column = 'D1_Pos.C', \n",
        "    mean_mode = 'w0', \n",
        "    w = w, \n",
        "    smooth = smooth, \n",
        "    target_ratio = target_ratio\n",
        "  )"
      ],
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "Warning message in valid.GenomicRanges.seqinfo(x, suggest.trim = TRUE):\n",
            "\"GRanges object contains 11 out-of-bound ranges located on sequence\n",
            "  chrM. Note that ranges located on a sequence whose length is unknown\n",
            "  (NA) or on a circular sequence are not considered out-of-bound (use\n",
            "  seqlengths() and isCircular() to get the lengths and circularity flags\n",
            "  of the underlying sequences). You can use trim() to trim these ranges.\n",
            "  See ?`trim,GenomicRanges-method` for more information.\"\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ilbeIaRpcN2Q",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "53d97fa2-e367-4721-9b02-26001f432795"
      },
      "source": [
        "length(which(rowSums(mat_d0) > 0))"
      ],
      "execution_count": 30,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 91391"
            ],
            "text/latex": "91391",
            "text/markdown": "91391",
            "text/html": [
              "91391"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kCLGKghWXDKu"
      },
      "source": [
        "r <- which(rowSums(mat_d0) > 0) #Removing rows with all zeroes in matrix for D0"
      ],
      "execution_count": 31,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XlTRCZ6L7e7Q"
      },
      "source": [
        "#Subsetting normalized matrix for all 4 conditions"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "utdQDKtRXkVR"
      },
      "source": [
        "mat_d0_sub <- mat_d0[r,]\n",
        "mat_d1_sub <- mat_d1[r,]\n",
        "mat_sub <- mat[['MNase']][r,]\n",
        "mat_etv2 <- mat[['MEF_Dox_D1_Etv2']][r,]"
      ],
      "execution_count": 32,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HEIW8kLi7req"
      },
      "source": [
        "## Splitting regions into different clusters based on the mean of center 150 bp region\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UkxU9q__kmWh"
      },
      "source": [
        "i <- seq_len(length(peaks))\n",
        "mean_d0 <- rowMeans(mat_d0_sub[, (extend / w - 1):(extend / w  + 1)])\n",
        "cls_d0 <- as.numeric(cut(mean_d0, quantile(mean_d0, c(1, 0.55, 0)), include.lowest = TRUE))\n",
        "sp_d0 <- factor(cls_d0)"
      ],
      "execution_count": 33,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "m-HnrDm4lcNY",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "376913da-1294-48e3-e3dc-fb1f09a8c76f"
      },
      "source": [
        "length(sp_d0[sp_d0 == 2])"
      ],
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 41126"
            ],
            "text/latex": "41126",
            "text/markdown": "41126",
            "text/html": [
              "41126"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HoVoxdms8Tlr"
      },
      "source": [
        "# Enriched heatmap just for cluster 2 D0 regions(NOR)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "mUAIPcfdM0T-"
      },
      "source": [
        "mat_d0_nor <- mat_d0_sub[sp_d0 == 2,]\n",
        "mat_d1_nor <- mat_d1_sub[sp_d0 == 2,]\n",
        "mat_sub_nor <- mat_sub[sp_d0 == 2,]\n",
        "mat_etv2_nor <- mat_etv2[sp_d0 == 2,]"
      ],
      "execution_count": 35,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hZVlYR-H8c49"
      },
      "source": [
        "Color annotation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yh2_9Wg3_Rhs"
      },
      "source": [
        "col_fun <- colorRamp2(quantile(mat_d0_nor, c(0.01, 0.99)), c('white', 'brown'))\n",
        "col_fun_mn <- colorRamp2(quantile(mat_sub_nor, c(0.01, 0.99)), c('white', 'navyblue'))\n",
        "col_fun_d1 <- colorRamp2(quantile(mat_d1_nor, c(0.01, 0.99)), c('white', 'brown'))\n",
        "col_fun_etv2 <- colorRamp2(quantile(mat_etv2_nor, c(0.01, 0.99)), c('white', 'red'))"
      ],
      "execution_count": 36,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DX_Q3eR2_hnM"
      },
      "source": [
        "sp_nor <- sp_d0[sp_d0 ==2]"
      ],
      "execution_count": 37,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "esLKLFd2Ho8U"
      },
      "source": [
        "The regions of D1 that do not have signal at the center region."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gwGrxGn4IC13"
      },
      "source": [
        "reg_d1 <- rowMeans(mat_d1_nor[, (extend / w - 1):(extend / w  + 1)])"
      ],
      "execution_count": 38,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "id": "4SpFYst5ISoQ",
        "outputId": "4b138f99-82d7-4608-8a6b-49ab1653b685"
      },
      "source": [
        "length(reg_d1[reg_d1 == 0])"
      ],
      "execution_count": 39,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "[1] 21143"
            ],
            "text/latex": "21143",
            "text/markdown": "21143",
            "text/html": [
              "21143"
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8W9qEjho8g99"
      },
      "source": [
        "# Column annotation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PqI01-gDAOA0"
      },
      "source": [
        "ta <- HeatmapAnnotation(\n",
        "  enriched = anno_enriched(gp = gpar(lty = 1, lwd = 2, col = 1:nlevels(sp_nor))\n",
        "  #axis_param = list(facing = 'inside', at = -1000)\n",
        "#ylim = c(-0.5,2)\n",
        "  )\n",
        ")"
      ],
      "execution_count": 40,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "UqmQJtW58iUd"
      },
      "source": [
        "# Enriched heatmap "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "BDHbIzflXsni",
        "outputId": "33d78095-5ec8-4968-83d0-bd042e49a1a9"
      },
      "source": [
        "h <- EnrichedHeatmap(mat_sub_nor, col = col_fun_mn, name = 'MNase', top_annotation = ta, pos_line = FALSE) +\n",
        "     EnrichedHeatmap(mat_d0_nor, col = col_fun, name = 'D0_NOMe', top_annotation = ta, pos_line = FALSE) +\n",
        "     EnrichedHeatmap(mat_d1_nor, col = col_fun_d1, name = 'D1_NOMe', top_annotation = ta, pos_line = FALSE) +\n",
        "     EnrichedHeatmap(mat_etv2_nor, col = col_fun_etv2, name = 'D1_etv2', top_annotation = ta, pos_line = FALSE)\n",
        "\n",
        "\n",
        "options(repr.plot.width = 5, repr.plot.height = 5)\n",
        "draw(h, heatmap_legend_side = 'bottom')"
      ],
      "execution_count": 41,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "`use_raster` is automatically set to TRUE for a matrix with more than\n",
            "2000 rows. You can control `use_raster` argument by explicitly setting\n",
            "TRUE/FALSE to it.\n",
            "\n",
            "Set `ht_opt$message = FALSE` to turn off this message.\n",
            "\n",
            "'magick' package is suggested to install to give better rasterization.\n",
            "\n",
            "Set `ht_opt$message = FALSE` to turn off this message.\n",
            "\n",
            "`use_raster` is automatically set to TRUE for a matrix with more than\n",
            "2000 rows. You can control `use_raster` argument by explicitly setting\n",
            "TRUE/FALSE to it.\n",
            "\n",
            "Set `ht_opt$message = FALSE` to turn off this message.\n",
            "\n",
            "'magick' package is suggested to install to give better rasterization.\n",
            "\n",
            "Set `ht_opt$message = FALSE` to turn off this message.\n",
            "\n",
            "`use_raster` is automatically set to TRUE for a matrix with more than\n",
            "2000 rows. You can control `use_raster` argument by explicitly setting\n",
            "TRUE/FALSE to it.\n",
            "\n",
            "Set `ht_opt$message = FALSE` to turn off this message.\n",
            "\n",
            "'magick' package is suggested to install to give better rasterization.\n",
            "\n",
            "Set `ht_opt$message = FALSE` to turn off this message.\n",
            "\n",
            "`use_raster` is automatically set to TRUE for a matrix with more than\n",
            "2000 rows. You can control `use_raster` argument by explicitly setting\n",
            "TRUE/FALSE to it.\n",
            "\n",
            "Set `ht_opt$message = FALSE` to turn off this message.\n",
            "\n",
            "'magick' package is suggested to install to give better rasterization.\n",
            "\n",
            "Set `ht_opt$message = FALSE` to turn off this message.\n",
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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D6fT/I3AcCBAwdIInUHViMvLw+z3NEL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vOmn+wpCPevfqsqL7wB4ATZuV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\nt8TVSHcB054tW1sI6kkH0YS2N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b6ChGRgIIfoI+mDci0U3XdN+byb3W9/kT92M+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\nvP6CAAAgAElEQVTbLZ+c6LT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V3dXV2d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\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by6fH+0uXhzrs8LxXToHFRJnYozIAjA\n81o2QYAKXCkU8QE6QrbgWwPzauv4IXwIk/HDSmLuAOA0PuKB4xJzvda1KrKKpj4+hgXJ4aVG\nPDTJs8eSvWiwWdj4XMe45GyCKqnD05C6Rvk4GE+EBA86QrbIyu1FKadxQj3lsnIDWms08jiq\nKznKaZodyXOUc1RXKs9WZHO57FvmTxnTM9FgTk69dNZtn/7UBF2Hl6rcdSiipdUKqqROVv+Q\nJtRn9Y92ARAWwVGjbFFR3MjzFDRNnwAgFcWN6qmigUS4xP75nvH9kig2nzkFXU3hIiSxX54y\nscvqNf2L7zcwQyyb++iba8fmN57a++cbrps1fPdX5d8Pinh4KX1BldSpKAY+hFGjFcXqaZD4\nAx0hW3AUOAqaJ9RzrHb8JA0e0mPYBco9ZZs+tJac9ZnYnJXTZ9ps5Z76wweVX3cdOuz5nHje\nhFXbNrzZ85LfPVGwQ14VMmZD56BK6nB8SBPqOXziIT7AnwVbZPZLqixpAElbSDops1+ga41G\nmOZTJ2xlZwlt/b1JomirLCNdvLCxVZZVfLZJ0dZxiTZbBw+hxJB08axe5u0fHqR3xHboHFRJ\nncwcqDgDRGvw4swcvQ1CugPoCNmisrSZah3xIgFUljI6X5hIxFrs1fNGwF8TxFp8WvnV2Ftl\nWkij6KbGxFgPnYMqqVNZAnwIT63KEv1MQboPOFiGLSjlqNbZ9JQjlNUY5cb0dEIpobymjRrT\n0z2nEu2nP9/y8YHm9qkC9tqt2+rs5y8eIYfOKXh8i+eQHDrnxhgJnYMqqUP5kEaNUvzrj/iA\n0edm3NI3O4mjWqLwUJ7jKNc3m9GuUVtFOUd5LcsEUMpR3lbRHnJWcjvuuv7aaVffs6ew3OUW\ny4/tuv2K+ca0yf9dkA8xHjoHVVKnb3ZIo0b74lqjiA/QEbJFVUULL1DKa9l4gVZVtKhfIxpw\ngoEQTvPGCQbPqXhz/teHNl2feeyXE84zC6bzJt5QecFtXx3fnGOkEOOhc1AldarKQwrDVFWu\nfgkk/iD+o5AgEeaDtd/XlGl/z9e7b+J1vxupoz16Ub1zm72iVHN2Y0Zm6mVX6mgPm6BK6nyw\nGqo7RpkPgtS+cN1i/axBugnYY84WliRDQ432dYEtSQb1PAdPSAAAChNJREFURNFAbG4Eor37\nQWxmdH6kvqBK6liSob46pOwI0gl0hGzRWOfgtMWja8uuozE6wglG4Fo0R5HjBKPeFrEIqqRO\nY11I8wgb6/QzBek+oCNkC6OZtjRpjlAvGc2MzqgnlFKeSprmR3JEiouQs6hSIBjMwDWElB1B\nOoGDZdjC0sMoGHjBwGnaeEsPrzaB/4h0kURyu4Bw2kaBAOEkd4xEywsNVEmdxGTgDdq3RJ9d\no9KOtQ/0MwvJOR1HDMVq1EYkSNARskVTvVOOI6Fpg6Z6r0A8fiLSRRjekgxE69wvwvHx8WoH\nVVKnuT6keYTNHeOUORr2L7568G3vNczpZepwKIajNiJBgl2jbGEwEnsLkTR1jRKQDEavjD/a\nXLzFd0S6CCO5RMJToqnTTyKS5IpCKzbyoErqGE1gbdT4mtDtBmNHb1dftMp8zerCRVNfyV8P\n3sPUPFEbAQAGjH3507+8mXPHfYcfeWYYozFeEM2gI2QLOcSu5neEvODV2iuyiqZBbLQSKCGE\n01YsAgRYjbOoM6iSKrwAglFjeBZKOkeuSBu57llfE47kqI0z10/y7LFkLxpsvnvjc0efee1S\nLVdHGAYdIVu4Ralvbg9KCQCIolRZ3OhnoichJD07ibY9/kRRaqi1KhO0RaT70+bdB+00edRl\n1z6y6vmr+lvCWgSfGJJSxIYGSdOASCJJhqQU3U1iEFRJHdEFmXntQSTcLqg402WkKgAgBDL6\ntaZ3u6DhXIDX6Spq4/pdhwDQEXY30BGyReaAnkNH9/V83bv1VHVZU1eJU/taxk7pr9xz5Duv\nucZdRaS7yBJCRDdNuJobCOU5TX/kJSCu5hAGCsYOqJI6WYNg6DivPbs/hqqul9JOy4Jx09u/\nHtkb4HXEmI7aiAQJOkK2qKts2b/zrKdFWF9j7dDbqaS+xupJLKe3NXvNI+wqIl3B02PCY37X\nUI5wGqeFEABgdTFxnUGVVDlXDt9+Bp6JIm4R6qtA6PqPXX0VfPdZa6BOUQRbkMs2xWjURiRI\n0BGyheiSahRNQEKI//uuxru9aErw19TzRKSDiDtCwZLsbmrUPAhIiIfxkKhSIIguqO7Q/iMq\nzknZXjQH+l6AmmI5aiMSJOgI2aJ3VmL5yXrNg2V6ZyX6TyFHpNN08pAQrc1ABY1/piUQrYzG\nWdQXVEmd1GwoOaGxWSZJkBpo9InYjtqIBAk6Qraw1jt4gWr1g2Ctb+8aFe2nv9jxQ68JV12Y\n2NpMlCPSXfLXEXpYGiQcJTynOa54a9dWtwdVUqW53l9HaCDZA0OO2rj+8S0w9VZ5jxy1cUlM\nRG1EgiQOXirEFBzlOKoxMC9HCad4S+Q/Il2kyyUYCacxdA7hhLhYRRNVCgRKgXDat2BWoYvh\nqI1IkKAjZAtLLzPRFpaVcoRyll7tSyn6j0gXaZx2wnVe7i0wOAJOexRsjjyokipJvYHjgKOa\nNg6Senc43+vn9Zb1u+PH2sbilfLn7MlbIKajNiJBgvEI2eKH3aUtTU71dF2QYBGGj8/U0R69\naDp80G1vAUnTHy/i5owJlmEX6G0Uc6BK6hTsDLx70weJPWDEZfpZg3QT8B0hW3CUhPKih2N1\nbRFCKeEE0Pj6i8ZFXAVUKRDktVhDyY4gnUBHyBYJySab1al1rAwkJHdcSpERJJCAag4vBZK2\nJbViDVRJncQUsDeCpuVYgUiQGAeL7yDBg46QLWxWhyBQbc8zAmCzMhqYlxoEUXRpLhc1RHop\nnKiAKqljawZqCCk7gnQCHSFbCBzn4rSvXSGE0msUXgjheM0z5DQ3kmINVEkNnoAzhB85HwcS\nIcGDjpAtzBaDwyFq7vgxW0L4sxxOJLcEnNZnEAHJHQedfqhSIJiTwNaiUSW3BOYk9WRI/IGO\nkC2cdhcVKNG67LLTzmgEbWI0SVYrIVrCmkoSRzqFkeuWoErqOO0gGDS+DKUQFzNMkOBBR8gW\nhOcEkLSOBQDCM9o1SghwPAegZVgjAW2BiWIPVEkdQkH7wFoCJA4G1iLBg46QLQxm3mnVusK9\nJAlmRiuUAEjaR67HxRMeUKVAMBhBcmlejBcMcbD4DhI8jD434xa3UwxhLiBxO0X1VNGAMydI\n7i4DKwaSXUdjmAVVUkcUQ1pSVWT0BkGiCzpCtqCUc4ew1k8IA07Di+RykRBGtEouRt996guq\npA6Vu461zjGJh5CNSPCgI2QLg4kXRbfm+5wye58TEtqCIIw6eJ1BlVQxmsFu1R6GyWhWT4bE\nH+gI2UKSJE5rjHI5u7726AU1Gl2SW/OrHWqMi1c7qJI6ohhUBAkf2RGkE+gI2YJQAlpjgmgZ\ndB8p3C4XR7X/2NwuVzyM9kOV1KEE3LzmnlEMt4P4BB0hW/ACR0BjHxdltj0Isod3ax71HsJY\nypgCVVKFGoAL4S9fPEiEBA86QrbgCIQwXIJIbkabhZxBkNzaR71zXFz8UFGlAMC5gIj+xMOd\nE0tQnpIQhjxImhfoCjduNwlhhhyw6uB1BlVShRdAdGt/ecDsaDIkqqAjZAtKCQnhXpVERh+F\nhBIJiOboOdrWnIs5UCV15Fjz2sCWJNIF6AgZg+NCCa4ragtuHgE4PpSWLjD89lNPUCVVCAlp\nlkg8SIQED6vPzXiF44h8p2vbuE5dowfeenLSyAEWk5Ccmjvj5odOWKM055oQIFwIG6vl0hdU\nSRVKgaNAeC0bR31OveiGKiFBgo6QLTgKJAQ6dBqVbr939A2PjF+6rrSu5eQ376Z9s3r8uGXR\n6TzlKOGI5q1DbxhD5dIXVEkVygMvgMBr2XgBOs1O6Z4qIcEiISzhduuZ/ba+luwp//V8bTz7\nMgAs/6EmpGtowu10ukPB6VSejZ1y6QuqpI7DIblc2jeHo8P5uqdKSJAQCTvNuynO5gKD5cKZ\nO0o+ujyzbZ90XoKRzN9+7LVLI2yMJEkhjYZVZGeqXPqCKqkT+shYxfSkbqsSEiTYNdptsVa/\nDwDj8pQhucmUFGPlrkORNybEWR3K7EyVS19QJXXk5Vg1b97/M7qtSkiQoCPstoj20wCQafR6\nb5RloKLtTJQs0ofuWi59QZUCAVVCZNARdne8u77dEKUYBSFetHN2RsqlL6iSKrpLBN1RJSRI\n0BF2W6hpAACctXstt3/GLvLmAVGySB+6a7n0BVUKBFQJkUFH2G1JSJ1HCNlb2NC+S3J+cs6W\nOe1n0TNKB7prufQFVQoEVAmRQUfYbeEThiztl1Tw+BbPntrCJ8/aXTcuPT+KVoVOdy2XvqBK\ngYAqIa1EdfIGEl4q9z1u4Ph71n3eYHdWHN95TU5S1pVPRdsoHeiu5dIXVCkQUCVEkiR0hN2c\no++vvHxEnlngk9Pyrl38dIVDjLZF+tBdy6UvqFIgoEoITqhHEARB4hp8R4ggCILENegIEQRB\nkLgGHSGCIAgS16AjRBAEQeIadIQIgiBIXPP/AZATHqM4M+ZVAAAAAElFTkSuQmCC",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "image/png": {
              "width": 300,
              "height": 300
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "goICThYuThzd"
      },
      "source": [
        "# Scaling matrix for the line plot to be on the same scale"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "AkdYU0IuVUIw"
      },
      "source": [
        "pos <- 1:ncol(mat_d0_nor) - (ncol(mat_d0_nor)+1)/2"
      ],
      "execution_count": 43,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OZCDqjjgBSeg"
      },
      "source": [
        "norm_mat_d0 <- t(scale(t(mat_d0_nor)))\n",
        "norm_mat_d1 <- t(scale(t(mat_d1_nor)))\n",
        "norm_mat_d1[!is.finite(norm_mat_d1)] <- 0\n",
        "norm_mat_mnase <- t(scale(t(mat_sub_nor)))\n",
        "norm_mat_etv2 <- t(scale(t(mat_etv2_nor)))"
      ],
      "execution_count": 44,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "IpuoxBnz4ZtY"
      },
      "source": [
        "df <- rbind(\n",
        "  data.frame(\n",
        "    cvg = colMeans(norm_mat_d0),\n",
        "    pos = pos,\n",
        "    group = 'd0'\n",
        "  ),\n",
        "  data.frame(\n",
        "    cvg = colMeans(norm_mat_d1),\n",
        "    pos = pos,\n",
        "    group = 'd1'\n",
        "  ),\n",
        "  data.frame(\n",
        "    cvg = colMeans(norm_mat_mnase),\n",
        "    pos = pos,\n",
        "    group = 'MNase'\n",
        "  ),\n",
        "   data.frame(\n",
        "    cvg = colMeans(norm_mat_etv2),\n",
        "    pos = pos,\n",
        "    group = 'Etv2'\n",
        "  )\n",
        ")"
      ],
      "execution_count": 45,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 414
        },
        "id": "2015ovK9fWpX",
        "outputId": "67db5376-6f6d-48cf-b24c-61f184e81a01"
      },
      "source": [
        "options(repr.plot.width = 8, repr.plot.height = 6)\n",
        "ggplot(df, aes(x = pos, y = cvg, color = 'red')) + \n",
        "geom_smooth(method = 'gam', se = FALSE,size = 1.5)+  facet_wrap(~ group, ncol = 2)+ ylim(-0.45, 2) +\n",
        "  theme_bw() +\n",
        "  theme(panel.grid.major = element_blank(), panel.grid.minor = element_blank(),\n",
        "        panel.background = element_blank(), axis.line = element_line(colour = \"black\"))"
      ],
      "execution_count": 46,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "`geom_smooth()` using formula 'y ~ s(x, bs = \"cs\")'\n",
            "\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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AEatjLXWK2/4YzRRo62vZewkdk5ctDg4LqxjAWhAQCIAo5wN4D+xbAK0NrIIhET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\nRU5ErkJggg==",
            "text/plain": [
              "plot without title"
            ]
          },
          "metadata": {
            "image/png": {
              "width": 480,
              "height": 360
            }
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zWEeSL-n8mIZ"
      },
      "source": [
        "We see that some NOR regions become NFR from D0 to D1 based on our NOMe seq data"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "DLYh9wPhxed2",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "9090576c-ed4c-4e46-c955-2dda26d8ff2d"
      },
      "source": [
        "sessionInfo()"
      ],
      "execution_count": 47,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "R version 4.1.1 (2021-08-10)\n",
              "Platform: x86_64-pc-linux-gnu (64-bit)\n",
              "Running under: Ubuntu 18.04.5 LTS\n",
              "\n",
              "Matrix products: default\n",
              "BLAS:   /usr/lib/x86_64-linux-gnu/openblas/libblas.so.3\n",
              "LAPACK: /usr/lib/x86_64-linux-gnu/libopenblasp-r0.2.20.so\n",
              "\n",
              "locale:\n",
              " [1] LC_CTYPE=en_US.UTF-8       LC_NUMERIC=C              \n",
              " [3] LC_TIME=en_US.UTF-8        LC_COLLATE=en_US.UTF-8    \n",
              " [5] LC_MONETARY=en_US.UTF-8    LC_MESSAGES=en_US.UTF-8   \n",
              " [7] LC_PAPER=en_US.UTF-8       LC_NAME=C                 \n",
              " [9] LC_ADDRESS=C               LC_TELEPHONE=C            \n",
              "[11] LC_MEASUREMENT=en_US.UTF-8 LC_IDENTIFICATION=C       \n",
              "\n",
              "attached base packages:\n",
              " [1] grid      parallel  stats4    stats     graphics  grDevices utils    \n",
              " [8] datasets  methods   base     \n",
              "\n",
              "other attached packages:\n",
              " [1] aaRon_0.9.5                        limma_3.48.3                      \n",
              " [3] Gviz_1.36.2                        Repitools_1.38.0                  \n",
              " [5] devtools_2.4.2                     usethis_2.0.1                     \n",
              " [7] circlize_0.4.13                    EnrichedHeatmap_1.22.0            \n",
              " [9] ComplexHeatmap_2.8.0               ggplot2_3.3.5                     \n",
              "[11] SummarizedExperiment_1.22.0        Biobase_2.52.0                    \n",
              "[13] MatrixGenerics_1.4.3               matrixStats_0.61.0                \n",
              "[15] BSgenome.Mmusculus.UCSC.mm10_1.4.0 BSgenome_1.60.0                   \n",
              "[17] rtracklayer_1.52.1                 Biostrings_2.60.2                 \n",
              "[19] XVector_0.32.0                     dplyr_1.0.7                       \n",
              "[21] GenomicRanges_1.44.0               GenomeInfoDb_1.28.4               \n",
              "[23] IRanges_2.26.0                     S4Vectors_0.30.2                  \n",
              "[25] BiocGenerics_0.38.0               \n",
              "\n",
              "loaded via a namespace (and not attached):\n",
              "  [1] utf8_1.2.2               tidyselect_1.1.1         RSQLite_2.2.8           \n",
              "  [4] AnnotationDbi_1.54.1     htmlwidgets_1.5.4        BiocParallel_1.26.2     \n",
              "  [7] munsell_0.5.0            codetools_0.2-18         preprocessCore_1.54.0   \n",
              " [10] pbdZMQ_0.3-5             withr_2.4.2              colorspace_2.0-2        \n",
              " [13] filelock_1.0.2           knitr_1.34               uuid_0.1-4              \n",
              " [16] rstudioapi_0.13          labeling_0.4.2           repr_1.1.3              \n",
              " [19] GenomeInfoDbData_1.2.6   farver_2.1.0             bit64_4.0.5             \n",
              " [22] rprojroot_2.0.2          vctrs_0.3.8              generics_0.1.0          \n",
              " [25] xfun_0.26                biovizBase_1.40.0        BiocFileCache_2.0.0     \n",
              " [28] R6_2.5.1                 doParallel_1.0.16        clue_0.3-60             \n",
              " [31] locfit_1.5-9.4           AnnotationFilter_1.16.0  bitops_1.0-7            \n",
              " [34] cachem_1.0.6             DelayedArray_0.18.0      assertthat_0.2.1        \n",
              " [37] Ringo_1.56.0             BiocIO_1.2.0             scales_1.1.1            \n",
              " [40] nnet_7.3-16              gtable_0.3.0             Cairo_1.5-12.2          \n",
              " [43] affy_1.70.0              processx_3.5.2           ensembldb_2.16.4        \n",
              " [46] rlang_0.4.11             genefilter_1.74.0        GlobalOptions_0.1.2     \n",
              " [49] splines_4.1.1            lazyeval_0.2.2           dichromat_2.0-0         \n",
              " [52] checkmate_2.0.0          reshape2_1.4.4           BiocManager_1.30.16     \n",
              " [55] yaml_2.2.1               GenomicFeatures_1.44.2   backports_1.2.1         \n",
              " [58] Hmisc_4.6-0              tools_4.1.1              affyio_1.62.0           \n",
              " [61] ellipsis_0.3.2           gplots_3.1.1             RColorBrewer_1.1-2      \n",
              " [64] Rsolnp_1.16              DNAcopy_1.66.0           sessioninfo_1.1.1       \n",
              " [67] plyr_1.8.6               Rcpp_1.0.7               base64enc_0.1-3         \n",
              " [70] progress_1.2.2           zlibbioc_1.38.0          purrr_0.3.4             \n",
              " [73] RCurl_1.98-1.5           ps_1.6.0                 prettyunits_1.1.1       \n",
              " [76] rpart_4.1-15             GetoptLong_1.0.5         zoo_1.8-9               \n",
              " [79] cluster_2.1.2            fs_1.5.0                 magrittr_2.0.1          \n",
              " [82] data.table_1.14.0        truncnorm_1.0-8          ProtGenerics_1.24.0     \n",
              " [85] pkgload_1.2.2            hms_1.1.0                evaluate_0.14           \n",
              " [88] xtable_1.8-4             XML_3.99-0.8             jpeg_0.1-9              \n",
              " [91] gridExtra_2.3            shape_1.4.6              testthat_3.0.4          \n",
              " [94] compiler_4.1.1           biomaRt_2.48.3           tibble_3.1.4            \n",
              " [97] KernSmooth_2.23-20       crayon_1.4.1             htmltools_0.5.2         \n",
              "[100] mgcv_1.8-37              Formula_1.2-4            DBI_1.1.1               \n",
              "[103] dbplyr_2.1.1             MASS_7.3-54              rappdirs_0.3.3          \n",
              "[106] Matrix_1.3-4             cli_3.0.1                vsn_3.60.0              \n",
              "[109] pkgconfig_2.0.3          GenomicAlignments_1.28.0 foreign_0.8-81          \n",
              "[112] IRdisplay_1.0            xml2_1.3.2               foreach_1.5.1           \n",
              "[115] annotate_1.70.0          stringr_1.4.0            VariantAnnotation_1.38.0\n",
              "[118] callr_3.7.0              digest_0.6.27            htmlTable_2.3.0         \n",
              "[121] edgeR_3.34.1             restfulr_0.0.13          curl_4.3.2              \n",
              "[124] Rsamtools_2.8.0          gtools_3.9.2             rjson_0.2.20            \n",
              "[127] nlme_3.1-152             lifecycle_1.0.0          jsonlite_1.7.2          \n",
              "[130] desc_1.3.0               fansi_0.5.0              pillar_1.6.2            \n",
              "[133] lattice_0.20-45          KEGGREST_1.32.0          fastmap_1.1.0           \n",
              "[136] httr_1.4.2               pkgbuild_1.2.0           survival_3.2-13         \n",
              "[139] glue_1.4.2               remotes_2.4.0            png_0.1-7               \n",
              "[142] iterators_1.0.13         bit_4.0.4                stringi_1.7.4           \n",
              "[145] blob_1.2.2               latticeExtra_0.6-29      caTools_1.18.2          \n",
              "[148] memoise_2.0.0            IRkernel_1.2             gsmoothr_0.1.7          "
            ]
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "t8JLxMUeybHs",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 35
        },
        "outputId": "017363d7-dfea-4327-8f66-f3373dfc72f2"
      },
      "source": [
        "Sys.time() - start_time0"
      ],
      "execution_count": 48,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "Time difference of 56.44562 mins"
            ]
          },
          "metadata": {}
        }
      ]
    }
  ]
}