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    "In this notebook, we show how the computational of the fixpoints of qualitative regulatory networks can be done with different methods, which should give equivalent results, using *GINsim* and *Pint*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Model loading\n",
    "\n",
    "We load a simple model available on http://ginsim.org/node/41"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
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       "\n",
       "\n",
       "    var biolqm_jsapi = {  };\n",
       "    colomoto_extension(Jupyter, \"colomoto-setup-2351100\", \"biolqm\", {\"name\": \"bioLQM\", \"sub-menu\": [{\"name\": \"Upload model\", \"snippet\": [\"lqm = biolqm.upload()\"]}, {\"name\": \"Load model\", \"snippet\": [\"lqm = biolqm.load(\\\"model.sbml\\\")\"]}, \"---\", {\"name\": \"Export to file\", \"sub-menu\": [{\"name\": \"SBML-qual v1.0 (.sbml)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.sbml\\\", \\\"sbml\\\")\"]}, \"Functions formats\", {\"name\": \"BoolNet (.bnet)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.bnet\\\", \\\"bnet\\\")\"]}, {\"name\": \"BooleanNet (.booleannet)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.booleannet\\\", \\\"booleannet\\\")\"]}, {\"name\": \"BoolSim (.boolsim)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.boolsim\\\", \\\"boolsim\\\")\"]}, {\"name\": \"Raw Boolean functions (.boolfunctions)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.boolfunctions\\\", \\\"boolfunctions\\\")\"]}, {\"name\": \"Truth table (.tt)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.tt\\\", \\\"tt\\\")\"]}, \"Petri net formats\", {\"name\": \"APNN (.apnn)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.apnn\\\", \\\"apnn\\\")\"]}, {\"name\": \"INA (.ina)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.ina\\\", \\\"ina\\\")\"]}, {\"name\": \"PNML (.pnml)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.pnml\\\", \\\"pnml\\\")\"]}, \"Dedicated formats\", {\"name\": \"GINML (.ginml)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.ginml\\\", \\\"ginml\\\")\"]}, {\"name\": \"GNA non-xml (.gna)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.gna\\\", \\\"gna\\\")\"]}, {\"name\": \"MaBoSS (.bnd)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.bnd\\\", \\\"bnd\\\")\"]}, {\"name\": \"Pint (.an)\", \"snippet\": [\"biolqm.saveModel(lqm, \\\"mymodel.an\\\", \\\"an\\\")\"]}]}, {\"name\": \"Convert to tool\", \"sub-menu\": [{\"name\": \"MaBoSS\", \"snippet\": [\"masim = biolqm.to_maboss(lqm)\"]}, {\"name\": \"Pint\", \"snippet\": [\"an = biolqm.to_pint(lqm)\"]}]}]}, null, biolqm_jsapi);\n",
       "     }</script><style type=\"text/css\">\n",
       "    #biolqm_menu {\n",
       "        color: #00007f;\n",
       "        background-color: white;\n",
       "    }\n",
       "    </style>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<script type=\"text/javascript\" id=\"colomoto-setup-5623229\" class=\"to-be-removed\">\n",
       "        if (typeof Jupyter != 'undefined') {\n",
       "            \n",
       "    var ginsim_jsapi = {  };\n",
       "    colomoto_extension(Jupyter, \"colomoto-setup-5623229\", \"ginsim\", {\"name\": \"GINsim\", \"sub-menu\": [{\"name\": \"Upload model\", \"snippet\": [\"lrg = ginsim.upload()\"]}, {\"name\": \"Load model\", \"snippet\": [\"lrg = ginsim.load(\\\"model.zginml\\\")\"]}, \"---\", {\"name\": \"Export to file\", \"sub-menu\": [{\"name\": \"MaBoSS (.bnd, .cfg)\", \"snippet\": [\"ginsim.service(\\\"maboss\\\").export(lrg, \\\"mymodel.bnd\\\")\"]}]}, {\"name\": \"Convert to tool\", \"sub-menu\": [{\"name\": \"bioLQM\", \"snippet\": [\"lqm = ginsim.to_biolqm(lrg)\"]}, {\"name\": \"MaBoSS\", \"snippet\": [\"masim = ginsim.to_maboss(lrg)\"]}, {\"name\": \"NuSMV\", \"snippet\": [\"smv = ginsim.to_nusmv(lrg)\"]}, {\"name\": \"Pint\", \"snippet\": [\"an = ginsim.to_pint(lrg)\"]}]}, \"---\", {\"name\": \" Display regulatory graph\", \"snippet\": [\"ginsim.show(lrg)\"]}]}, null, ginsim_jsapi);\n",
       "     }</script><style type=\"text/css\">\n",
       "    #ginsim_menu {\n",
       "        color: blue;\n",
       "        background-color: white;\n",
       "    }\n",
       "    </style>"
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     "metadata": {},
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    }
   ],
   "source": [
    "import pandas as pd # for displaying list of fixpoints\n",
    "import ginsim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "Downloading 'http://ginsim.org/sites/default/files/Th_17.zginml' to 'gen/colomotolgvlbbncTh_17.zginml'"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "th17 = ginsim.load(\"http://ginsim.org/sites/default/files/Th_17.zginml\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Computation of fixpoints with bioLQM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import biolqm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "th17_lqm = ginsim.to_biolqm(th17)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
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       "      <th>IL12R</th>\n",
       "      <th>IL18</th>\n",
       "      <th>IL18R</th>\n",
       "      <th>IL4</th>\n",
       "      <th>IL4R</th>\n",
       "      <th>IRAK</th>\n",
       "      <th>SOCS1</th>\n",
       "      <th>STAT1</th>\n",
       "      <th>STAT4</th>\n",
       "      <th>STAT6</th>\n",
       "      <th>Tbet</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   GATA3  IFNb  IFNbR  IFNg  IFNgR  IL12  IL12R  IL18  IL18R  IL4  IL4R  IRAK  \\\n",
       "0      0     0      0     0      0     0      0     0      0    0     0     0   \n",
       "1      1     0      0     0      0     0      0     0      0    1     1     0   \n",
       "2      0     0      0     1      1     0      0     0      0    0     0     0   \n",
       "3      0     0      0     2      1     0      0     0      0    0     0     0   \n",
       "\n",
       "   SOCS1  STAT1  STAT4  STAT6  Tbet  \n",
       "0      0      0      0      0     0  \n",
       "1      0      0      0      1     0  \n",
       "2      1      1      0      0     1  \n",
       "3      1      1      0      0     2  "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fps_lqm = biolqm.fixpoints(th17_lqm)\n",
    "pd.DataFrame(fps_lqm)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Computation of fixpoints with Pint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "You are using Pint version 2017-12-19 and pypint 1.3.94"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pypint"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "Source file is in Automata Network (an) format"
      ],
      "text/plain": [
       "<IPython.core.display.Markdown object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "th17_an = biolqm.to_pint(th17_lqm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>GATA3</th>\n",
       "      <th>IFNb</th>\n",
       "      <th>IFNbR</th>\n",
       "      <th>IFNg</th>\n",
       "      <th>IFNgR</th>\n",
       "      <th>IL12</th>\n",
       "      <th>IL12R</th>\n",
       "      <th>IL18</th>\n",
       "      <th>IL18R</th>\n",
       "      <th>IL4</th>\n",
       "      <th>IL4R</th>\n",
       "      <th>IRAK</th>\n",
       "      <th>SOCS1</th>\n",
       "      <th>STAT1</th>\n",
       "      <th>STAT4</th>\n",
       "      <th>STAT6</th>\n",
       "      <th>Tbet</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   GATA3  IFNb  IFNbR  IFNg  IFNgR  IL12  IL12R  IL18  IL18R  IL4  IL4R  IRAK  \\\n",
       "0      0     0      0     0      0     0      0     0      0    0     0     0   \n",
       "1      1     0      0     0      0     0      0     0      0    1     1     0   \n",
       "2      0     0      0     1      1     0      0     0      0    0     0     0   \n",
       "3      0     0      0     2      1     0      0     0      0    0     0     0   \n",
       "\n",
       "   SOCS1  STAT1  STAT4  STAT6  Tbet  \n",
       "0      0      0      0      0     0  \n",
       "1      0      0      0      1     0  \n",
       "2      1      1      0      0     1  \n",
       "3      1      1      0      0     2  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fps_an = pypint.fixpoints(th17_an)\n",
    "pd.DataFrame(fps_an)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### Display fixpoint using GINsim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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+cHnom0dGcgAdeUEMgDMCgFEsEVk1M/1fQ4Qa6NQcRMzz3TBKEgXoyAtiAJwR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\n9PjoIQAAwIWZWghIWJMBjojw6reSjogsf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      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ginsim.show(th17, fps_lqm[1]) # or fps_an[1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
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