{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "72b84f7b",
   "metadata": {},
   "source": [
    "# p53 / Mdm2 response to DNA damage\n",
    "\n",
    "This notebook reproduces the analysis of the p53 / Mdm2 model of the [MaBoSS website](https://maboss.curie.fr).\n",
    "\n",
    "The model is based on a published model of the p53 response to DNA damage\n",
    "([Abou-Jaoudé et al., 2009](https://doi.org/10.1016/j.jtbi.2009.02.017)). p53 interacts with Mdm2, which appears\n",
    "in two forms, cytoplasmic (Mdm2C) and nuclear (Mdm2N). On one hand, p53 upregulates the level of cytoplasmic\n",
    "Mdm2, which is then transported into the nucleus. On the other hand, nuclear Mdm2 facilitates the degradation\n",
    "of p53. DNA damage (Dam) participates in the degradation of Mdm2, and p53 inhibits the DNA damage signal by\n",
    "promoting DNA repair.\n",
    "\n",
    "p53 has three levels (0, 1 and 2), encoded with two Boolean nodes: `p53` is active when the level of p53 is at\n",
    "least 1, and `p53_h` when it is 2.\n",
    "\n",
    "**Requirements:** [pyMaBoSS](https://pymaboss.readthedocs.io/), and the files `p53_Mdm2.bnd` and\n",
    "`p53_Mdm2_runcfg.cfg`, in the same folder as this notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "17b3b720",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:19:27.065451Z",
     "iopub.status.busy": "2026-10-07T21:19:27.065138Z",
     "iopub.status.idle": "2026-10-07T21:19:28.383685Z",
     "shell.execute_reply": "2026-10-07T21:19:28.382785Z"
    }
   },
   "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": "85151aa6",
   "metadata": {},
   "source": [
    "## Simulation\n",
    "\n",
    "The initial condition is [p53 Mdm2C Mdm2N Dam] = [0 \\* 1 1]: DNA damage is present, nuclear Mdm2 is active,\n",
    "and p53 is inactive."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "f3365796",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:19:28.386190Z",
     "iopub.status.busy": "2026-10-07T21:19:28.385929Z",
     "iopub.status.idle": "2026-10-07T21:19:30.071176Z",
     "shell.execute_reply": "2026-10-07T21:19:30.070355Z"
    }
   },
   "outputs": [],
   "source": [
    "sim = maboss.load(\"p53_Mdm2.bnd\", \"p53_Mdm2_runcfg.cfg\")\n",
    "result = sim.run()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b652b762",
   "metadata": {},
   "source": [
    "## Levels of p53\n",
    "\n",
    "We compute the probabilities of each level of p53 from the probabilities of the network states."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "acfedd54",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:19:30.073116Z",
     "iopub.status.busy": "2026-10-07T21:19:30.072974Z",
     "iopub.status.idle": "2026-10-07T21:19:30.330077Z",
     "shell.execute_reply": "2026-10-07T21:19:30.329533Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "states = result.get_states_probtraj()\n",
    "\n",
    "def active_nodes(state):\n",
    "    return set() if state == \"<nil>\" else set(state.split(\" -- \"))\n",
    "\n",
    "level_1 = [s for s in states.columns if \"p53\" in active_nodes(s) and \"p53_h\" not in active_nodes(s)]\n",
    "level_2 = [s for s in states.columns if \"p53_h\" in active_nodes(s)]\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(states.index, states[level_1].sum(axis=1), label=\"p53 = 1\")\n",
    "ax.plot(states.index, states[level_2].sum(axis=1), label=\"p53 = 2\")\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Probability\")\n",
    "ax.set_title(\"Levels of p53 after DNA damage\")\n",
    "ax.legend()\n",
    "save(fig, \"p53_levels\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "97ad4940",
   "metadata": {},
   "source": [
    "## Entropies"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "e8e0ab25",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:19:30.331500Z",
     "iopub.status.busy": "2026-10-07T21:19:30.331361Z",
     "iopub.status.idle": "2026-10-07T21:19:30.520045Z",
     "shell.execute_reply": "2026-10-07T21:19:30.519381Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "entropy = result.get_entropy_trajectory()\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "ax.plot(entropy.index, entropy[\"TH\"], label=\"Transition entropy (TH)\")\n",
    "ax.plot(entropy.index, entropy[\"H\"], label=\"Entropy (H)\")\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Entropy\")\n",
    "ax.set_title(\"Entropies\")\n",
    "ax.legend()\n",
    "save(fig, \"p53_entropies\")"
   ]
  }
 ],
 "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"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
