{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bc13d659",
   "metadata": {},
   "source": [
    "# Cell fate decision\n",
    "\n",
    "This notebook reproduces the analysis of the cell fate model of the [MaBoSS website](https://maboss.curie.fr).\n",
    "\n",
    "The model is based on a published Boolean model ([Calzone et al., 2010](https://doi.org/10.1371/journal.pcbi.1000702)).\n",
    "It describes how a cell chooses between three different fates, apoptosis, survival (NFκB activation) and\n",
    "necroptosis (non-apoptotic cell death, NonACD), in response to the engagement of death receptors (here TNF).\n",
    "\n",
    "Mutants are included in the model as external variables: `$gene_del` for a deletion and `$gene_oe` for an\n",
    "over-expression. They are set to 0 for the wild type, and to 1 to simulate the mutant.\n",
    "\n",
    "**Requirements:** [pyMaBoSS](https://pymaboss.readthedocs.io/), and the files `CellFateModel.bnd` and\n",
    "`CellFateModel.cfg`, in the same folder as this notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c1e6ad1e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:18:57.327157Z",
     "iopub.status.busy": "2026-10-07T21:18:57.326934Z",
     "iopub.status.idle": "2026-10-07T21:18:58.713471Z",
     "shell.execute_reply": "2026-10-07T21:18:58.712895Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "ipylab module is not installed, menus and toolbar are disabled.\n"
     ]
    }
   ],
   "source": [
    "import os\n",
    "import maboss\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib as mpl\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# Common style for the figures of the MaBoSS website notebooks\n",
    "COLORS = [\"#FF7F00\", \"#1F77B4\", \"#2CA02C\", \"#D62728\", \"#9467BD\",\n",
    "          \"#8C564B\", \"#E377C2\", \"#17BECF\", \"#BCBD22\", \"#7F7F7F\"]\n",
    "mpl.rcParams.update({\n",
    "    \"figure.figsize\": (7, 4),\n",
    "    \"figure.dpi\": 100,\n",
    "    \"savefig.dpi\": 150,\n",
    "    \"savefig.bbox\": \"tight\",\n",
    "    \"axes.prop_cycle\": mpl.cycler(color=COLORS),\n",
    "    \"axes.spines.top\": False,\n",
    "    \"axes.spines.right\": False,\n",
    "    \"axes.grid\": True,\n",
    "    \"grid.alpha\": 0.3,\n",
    "    \"font.size\": 11,\n",
    "    \"axes.titlesize\": 12,\n",
    "    \"axes.titleweight\": \"bold\",\n",
    "    \"legend.frameon\": False,\n",
    "    \"lines.linewidth\": 2,\n",
    "})\n",
    "\n",
    "FIG_DIR = \"figures\"\n",
    "os.makedirs(FIG_DIR, exist_ok=True)\n",
    "\n",
    "def save(fig, name):\n",
    "    \"\"\"Save a figure in the figures folder.\"\"\"\n",
    "    fig.savefig(os.path.join(FIG_DIR, name + \".png\"))\n",
    "\n",
    "def state_label(state):\n",
    "    \"\"\"Readable label for a MaBoSS state.\"\"\"\n",
    "    return \"none active\" if state == \"<nil>\" else state.replace(\" -- \", \", \")\n",
    "\n",
    "def pie(probas, ax, title=None, min_proba=0.01, labels=None):\n",
    "    \"\"\"Pie chart of a distribution; probabilities below min_proba are grouped as 'others'.\"\"\"\n",
    "    probas = pd.Series(probas).sort_values(ascending=False)\n",
    "    small = probas[probas < min_proba]\n",
    "    probas = probas[probas >= min_proba]\n",
    "    if len(small) > 0:\n",
    "        probas[\"others\"] = small.sum()\n",
    "    names = [labels.get(s, state_label(s)) if labels else state_label(s) for s in probas.index]\n",
    "    colors = [COLORS[i % len(COLORS)] if s != \"others\" else \"#D9D9D9\" for i, s in enumerate(probas.index)]\n",
    "    wedges, _ = ax.pie(probas.values, colors=colors, startangle=90, counterclock=False,\n",
    "                       wedgeprops={\"linewidth\": 1, \"edgecolor\": \"white\"})\n",
    "    ax.legend(wedges, [f\"{n} ({p:.1%})\" for n, p in zip(names, probas.values)],\n",
    "              loc=\"center left\", bbox_to_anchor=(1, 0.5))\n",
    "    ax.set_aspect(\"equal\")\n",
    "    if title:\n",
    "        ax.set_title(title)\n",
    "\n",
    "def set_refstate_all(sim, value=0):\n",
    "    \"\"\"Give a reference state to every node.\n",
    "\n",
    "    With MaBoSS 2.6.6, the states of the stationary distributions only include the nodes\n",
    "    having a reference state; this makes them include all the nodes, as in previous versions.\n",
    "    \"\"\"\n",
    "    for node in sim.network:\n",
    "        if node not in sim.refstate:\n",
    "            sim.refstate[node] = value"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7409f1cb",
   "metadata": {},
   "source": [
    "## The model\n",
    "\n",
    "Only the three phenotype nodes, `Apoptosis`, `Survival` and `NonACD`, are output nodes: all the other nodes\n",
    "are internal."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1929cc51",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:18:58.715190Z",
     "iopub.status.busy": "2026-10-07T21:18:58.714980Z",
     "iopub.status.idle": "2026-10-07T21:18:58.807872Z",
     "shell.execute_reply": "2026-10-07T21:18:58.807114Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mutant parameters: $FADD_del, $RIP1_del, $NFkB_del, $NFkB_oe, $CASP8_del, $BAX_del, $BCL2_oe, $cIAP_del, $XIAP_del, $APAF_del, $cFLIP_del\n",
      "Output nodes: NonACD, Apoptosis, Survival\n"
     ]
    }
   ],
   "source": [
    "model = maboss.load(\"CellFateModel.bnd\", \"CellFateModel.cfg\")\n",
    "mutants = [name for name in model.param if name.endswith(\"_del\") or name.endswith(\"_oe\")]\n",
    "print(\"Mutant parameters:\", \", \".join(mutants))\n",
    "print(\"Output nodes:\", \", \".join(node for node in model.network if not model.network[node].is_internal))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "47becb6e",
   "metadata": {},
   "source": [
    "We define a function to simulate the wild type, or a given mutant: all the mutant parameters are first set to 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5a32d7fc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:18:58.809989Z",
     "iopub.status.busy": "2026-10-07T21:18:58.809823Z",
     "iopub.status.idle": "2026-10-07T21:19:05.404083Z",
     "shell.execute_reply": "2026-10-07T21:19:05.403644Z"
    }
   },
   "outputs": [],
   "source": [
    "def simulate(mutant=None):\n",
    "    sim = model.copy()\n",
    "    for name in mutants:\n",
    "        sim.param[name] = 0\n",
    "    if mutant is not None:\n",
    "        sim.param[mutant] = 1\n",
    "    return sim.run()\n",
    "\n",
    "results = {\n",
    "    \"Wild type\": simulate(),\n",
    "    \"CASP8 deletion\": simulate(\"$CASP8_del\"),\n",
    "    \"XIAP deletion\": simulate(\"$XIAP_del\"),\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "65dd2795",
   "metadata": {},
   "source": [
    "## Wild type\n",
    "\n",
    "In the wild type, the probabilities of the three phenotypes evolve as follows: survival is transiently\n",
    "activated, before most of the cells die by apoptosis."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b5e02c39",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:19:05.406046Z",
     "iopub.status.busy": "2026-10-07T21:19:05.405931Z",
     "iopub.status.idle": "2026-10-07T21:19:05.621011Z",
     "shell.execute_reply": "2026-10-07T21:19:05.620403Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PHENOTYPES = [\"Survival\", \"Apoptosis\", \"NonACD\"]\n",
    "PHENOTYPE_COLORS = {\"Survival\": COLORS[2], \"Apoptosis\": COLORS[3], \"NonACD\": COLORS[4], \"<nil>\": \"#7F7F7F\"}\n",
    "\n",
    "nodes = results[\"Wild type\"].get_nodes_probtraj()\n",
    "fig, ax = plt.subplots()\n",
    "for phenotype in PHENOTYPES:\n",
    "    ax.plot(nodes.index, nodes[phenotype], label=phenotype, color=PHENOTYPE_COLORS[phenotype])\n",
    "ax.set_xlim(0, 50)\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Probability\")\n",
    "ax.set_title(\"Phenotypes probabilities, wild type\")\n",
    "ax.legend()\n",
    "save(fig, \"cellfate_wt_trajectories\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "522d1c34",
   "metadata": {},
   "source": [
    "The three phenotypes are reachable, as in the published model. The probabilities differ slightly from the\n",
    "published ones: they are not absolute values, as they depend on the computation and on the details of the\n",
    "model (in the published model, the trajectories were computed over the transition graph).\n",
    "\n",
    "## Mutants\n",
    "\n",
    "We compare the final distribution of the phenotypes for the wild type and two mutants. The deletion of CASP8\n",
    "leads to the disappearance of apoptosis, in accordance with published experiments."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "31cccb9f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:19:05.622635Z",
     "iopub.status.busy": "2026-10-07T21:19:05.622521Z",
     "iopub.status.idle": "2026-10-07T21:19:05.824970Z",
     "shell.execute_reply": "2026-10-07T21:19:05.824406Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x450 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def phenotype_pie(result, ax, title):\n",
    "    final = result.get_last_states_probtraj().iloc[0]\n",
    "    final = final[final >= 0.001].sort_values(ascending=False)\n",
    "    labels = [state_label(s) if s != \"<nil>\" else \"no phenotype\" for s in final.index]\n",
    "    colors = [PHENOTYPE_COLORS.get(s, \"#D9D9D9\") for s in final.index]\n",
    "    wedges, _ = ax.pie(final.values, colors=colors, startangle=90, counterclock=False,\n",
    "                       wedgeprops={\"linewidth\": 1, \"edgecolor\": \"white\"})\n",
    "    ax.legend(wedges, [f\"{l} ({p:.1%})\" for l, p in zip(labels, final.values)],\n",
    "              loc=\"upper center\", bbox_to_anchor=(0.5, 0))\n",
    "    ax.set_title(title)\n",
    "    ax.set_aspect(\"equal\")\n",
    "\n",
    "fig, axes = plt.subplots(1, 3, figsize=(12, 4.5))\n",
    "for ax, (name, result) in zip(axes, results.items()):\n",
    "    phenotype_pie(result, ax, name)\n",
    "save(fig, \"cellfate_mutants\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.11"
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