{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "d1f6e89e",
   "metadata": {},
   "source": [
    "# Mammalian cell cycle\n",
    "\n",
    "This notebook reproduces the analysis of the cell cycle model of the [MaBoSS website](https://maboss.curie.fr).\n",
    "\n",
    "The model is based on a published Boolean model of the mammalian cell cycle\n",
    "([Fauré et al., 2006](https://doi.org/10.1093/bioinformatics/btl210)). It describes the signaling network\n",
    "that controls the mammalian cell cycle. Mutants can be simulated with the parameters `$CycD_del`, `$Cdc20_del`\n",
    "and `$Rb_del`: they are set to 0 for the wild type, and to 1 to simulate the corresponding deletion.\n",
    "\n",
    "**Requirements:** [pyMaBoSS](https://pymaboss.readthedocs.io/), and the files `cellcycle.bnd`,\n",
    "`cellcycle_runcfg.cfg` and `cellcycle_runcfg_randinit.cfg`, in the same folder as this notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "06562b9b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:24:34.363375Z",
     "iopub.status.busy": "2026-10-07T21:24:34.363068Z",
     "iopub.status.idle": "2026-10-07T21:24:35.764772Z",
     "shell.execute_reply": "2026-10-07T21:24:35.764190Z"
    }
   },
   "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": "f8f34767",
   "metadata": {},
   "source": [
    "## The model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "2f13d3a9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:24:35.766527Z",
     "iopub.status.busy": "2026-10-07T21:24:35.766296Z",
     "iopub.status.idle": "2026-10-07T21:24:35.809721Z",
     "shell.execute_reply": "2026-10-07T21:24:35.809138Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Node CycD {\n",
      "\n",
      "\tlogic = CycD;\n",
      "\trate_up = (NOT $CycD_del) ? 0.0 : 0.0;\n",
      "\trate_down = $CycD_del ? $fast : 0.0;\n",
      "}\n",
      "Node CycE {\n",
      "\n",
      "\tlogic = !Rb & E2F;\n",
      "\trate_up = @logic ? $slow : 0.0;\n",
      "\trate_down = @logic ? 0.0 : $fast;\n",
      "}\n",
      "\n",
      "Node CycA {\n",
      "\n",
      "\tlogic = !Rb & !Cdc20 & !(UbcH10 & cdh1) & (CycA | E2F);\n",
      "\trate_up = @logic ? $slow : 0.0;\n",
      "\trate_down = @logic ? 0.0 : $fast;\n",
      "}\n",
      "\n",
      "Node CycB {\n",
      "\n",
      "\tlogic = !Cdc20 & !cdh1;\n",
      "\trate_up = @logic ? $slow : 0.0;\n",
      "\trate_down = @logic ? 0.0 : $fast;\n",
      "}\n",
      "\n",
      "Node Rb {\n",
      "\n",
      "\tlogic = !CycD & !CycB & (p27 | !(CycA | CycE));\n",
      "\trate_up = (@logic AND (NOT $Rb_del)) ? $fast : 0.0;\n",
      "\trate_down = (@logic AND (NOT $Rb_del)) ? 0.0 : $fast;\n",
      "}\n",
      "\n",
      "Node E2F {\n",
      "\n",
      "\tlogic = !Rb & !CycB & (!CycA | p27);\n",
      "\trate_up = @logic ? $slow : 0.0;\n",
      "\trate_down = @logic ? 0.0 : $fast;\n",
      "}\n",
      "\n",
      "Node p27 {\n",
      "\n",
      "\tlogic = !CycD & !CycB & (!(CycA | CycE) | (p27 & !(CycE & CycA)));\n",
      "\trate_up = @logic ? $fast : 0.0;\n",
      "\trate_down = @logic ? 0.0 : $fast;\n",
      "}\n",
      "\n",
      "Node Cdc20 {\n",
      "\n",
      "\tlogic = CycB;\n",
      "\trate_up = (@logic AND (NOT $Cdc20_del)) ? $slow : 0.0;\n",
      "\trate_down = (@logic AND (NOT $Cdc20_del)) ? 0.0 : $fast;\n",
      "}\n",
      "\n",
      "Node UbcH10 {\n",
      "\n",
      "\tlogic = (!(cdh1 & !UbcH10) & (CycA | CycB)) | (!CycA & !CycB & (!cdh1 | (Cdc20 & UbcH10)));\n",
      "\trate_up = @logic ? $slow : 0.0;\n",
      "\trate_down = @logic ? 0.0 : $fast;\n",
      "}\n",
      "\n",
      "Node cdh1 {\n",
      "\n",
      "\tlogic = Cdc20 | (!CycB & (!CycA | p27));\n",
      "\trate_up = @logic ? $fast : 0.0;\n",
      "\trate_down = @logic ? 0.0 : $fast;\n",
      "}\n"
     ]
    }
   ],
   "source": [
    "sim = maboss.load(\"cellcycle.bnd\", \"cellcycle_runcfg.cfg\")\n",
    "sim.print_bnd()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5775509c",
   "metadata": {},
   "source": [
    "## Dynamics from the start of the cell cycle\n",
    "\n",
    "The first configuration file sets the initial condition corresponding to the start of the cell cycle\n",
    "(CycD, Rb, p27 and cdh1 active). The configuration files use the physical random generator: we use instead\n",
    "the pseudo-random generator, with a fixed seed, to make the results reproducible, and 4 threads."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "8e1adb8d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:24:35.811384Z",
     "iopub.status.busy": "2026-10-07T21:24:35.811280Z",
     "iopub.status.idle": "2026-10-07T21:24:55.321207Z",
     "shell.execute_reply": "2026-10-07T21:24:55.320668Z"
    }
   },
   "outputs": [],
   "source": [
    "sim.update_parameters(use_physrandgen=0, thread_count=4)\n",
    "result = sim.run()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "89274795",
   "metadata": {},
   "source": [
    "We plot the probabilities of the active cyclins, together with the entropy and the transition entropy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "63e79df7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:24:55.322871Z",
     "iopub.status.busy": "2026-10-07T21:24:55.322749Z",
     "iopub.status.idle": "2026-10-07T21:24:55.686331Z",
     "shell.execute_reply": "2026-10-07T21:24:55.685480Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nodes = result.get_nodes_probtraj()\n",
    "entropy = result.get_entropy_trajectory()\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "for cyclin in [\"CycE\", \"CycA\", \"CycB\"]:\n",
    "    ax.plot(nodes.index, nodes[cyclin], label=f\"P({cyclin} = 1)\")\n",
    "ax.plot(entropy.index, entropy[\"TH\"], \"--\", color=\"#7F7F7F\", label=\"Transition entropy (TH)\")\n",
    "ax.plot(entropy.index, entropy[\"H\"], \"--\", color=\"black\", label=\"Entropy (H)\")\n",
    "ax.set_xlim(0, 60)\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Probability / entropy\")\n",
    "ax.set_title(\"Cyclins activity from the start of the cell cycle\")\n",
    "ax.legend(loc=\"center left\", bbox_to_anchor=(1, 0.5))\n",
    "save(fig, \"cellcycle_cyclins\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "01b40ec8",
   "metadata": {},
   "source": [
    "## Stationary distributions, from a random initial condition\n",
    "\n",
    "The second configuration file uses a random initial condition, to study the stationary distributions.\n",
    "\n",
    "*Note:* with MaBoSS 2.6.6, the states of the stationary distributions only include the nodes having a\n",
    "reference state. We give a reference state to every node, so that the stationary distributions are\n",
    "described with all the nodes (this does not change the simulation)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ded07ea4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:24:55.688090Z",
     "iopub.status.busy": "2026-10-07T21:24:55.687940Z",
     "iopub.status.idle": "2026-10-07T21:25:19.375763Z",
     "shell.execute_reply": "2026-10-07T21:25:19.374665Z"
    }
   },
   "outputs": [],
   "source": [
    "sim_random = maboss.load(\"cellcycle.bnd\", \"cellcycle_runcfg_randinit.cfg\")\n",
    "sim_random.update_parameters(use_physrandgen=0, thread_count=4)\n",
    "set_refstate_all(sim_random)\n",
    "result_random = sim_random.run()\n",
    "\n",
    "clusters = result_random.get_statdist_clusters()\n",
    "summary = result_random.get_statdist_clusters_summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e618310e",
   "metadata": {},
   "source": [
    "The simulation produces two clusters, which represent two indecomposable stationary distributions.\n",
    "We name them according to their content: a stationary distribution concentrated on a single state is a\n",
    "fixed point."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "90a3174f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:25:19.378169Z",
     "iopub.status.busy": "2026-10-07T21:25:19.378009Z",
     "iopub.status.idle": "2026-10-07T21:25:19.477690Z",
     "shell.execute_reply": "2026-10-07T21:25:19.477047Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sizes = pd.Series({name: len(cluster) for name, cluster in zip(summary.index, clusters)})\n",
    "distributions = {name: summary.loc[name].dropna() for name in summary.index}\n",
    "\n",
    "names = {}\n",
    "for name, distribution in distributions.items():\n",
    "    if distribution.max() > 0.95:\n",
    "        names[name] = f\"Cluster {name}: fixed point (G1 phase)\"\n",
    "    else:\n",
    "        names[name] = f\"Cluster {name}: proliferation\"\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5, 3))\n",
    "pie(sizes / sizes.sum(), ax, \"Clusters of stationary distributions\", labels=names)\n",
    "save(fig, \"cellcycle_clusters\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8d5b423",
   "metadata": {},
   "source": [
    "The proliferation cluster can be interpreted as a desynchronized proliferating cell population,\n",
    "while the fixed point represents the G1 phase."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "30fc216a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:25:19.479949Z",
     "iopub.status.busy": "2026-10-07T21:25:19.479811Z",
     "iopub.status.idle": "2026-10-07T21:25:19.712913Z",
     "shell.execute_reply": "2026-10-07T21:25:19.712334Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1300x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, len(distributions), figsize=(13, 4))\n",
    "for ax, (name, distribution) in zip(axes, distributions.items()):\n",
    "    pie(distribution, ax, names[name], min_proba=0.02)\n",
    "fig.tight_layout()\n",
    "save(fig, \"cellcycle_stationary_distributions\")"
   ]
  }
 ],
 "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
}
