{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "dcbb67ca",
   "metadata": {},
   "source": [
    "# Toy model: a simple cycle with an escape\n",
    "\n",
    "This notebook reproduces the analysis of the toy model of the [MaBoSS website](https://maboss.curie.fr).\n",
    "\n",
    "The model consists of three nodes: A, B and C. A is activated by C and inhibited by B, B is activated by A,\n",
    "and C can only be degraded, when both A and B are inactive. The transition graph shows a fixed point\n",
    "[ABC] = [000], and a cycle [101] → [111] → [011] → [001]. At [001], the system can either continue to cycle,\n",
    "or escape the cycle and reach the fixed point [000]. We explore the dynamics when this escape rate\n",
    "(the degradation of C) is fast or slow.\n",
    "\n",
    "**Requirements:** [pyMaBoSS](https://pymaboss.readthedocs.io/), and the files `Four_cycle.bnd`,\n",
    "`Four_cycle_FEscape.cfg`, `Four_cycle_SEscape.cfg` and `Four_cycle_SEscape_long.cfg`, in the same folder as this notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "23a4934d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:10:05.878848Z",
     "iopub.status.busy": "2026-10-07T21:10:05.878668Z",
     "iopub.status.idle": "2026-10-07T21:10:07.529139Z",
     "shell.execute_reply": "2026-10-07T21:10:07.528604Z"
    }
   },
   "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": "bd32eac0",
   "metadata": {},
   "source": [
    "## The model\n",
    "\n",
    "The rates of the transitions are given by the parameters `$Au`, `$Ad` and `$escape`, defined in the configuration files.\n",
    "The parameter `$escape` corresponds to the degradation of C: it is set to 10 in the fast case, and to 0.00001 in the slow case.\n",
    "All the nodes are initially active."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fbeaff1d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:10:07.531041Z",
     "iopub.status.busy": "2026-10-07T21:10:07.530793Z",
     "iopub.status.idle": "2026-10-07T21:10:07.562685Z",
     "shell.execute_reply": "2026-10-07T21:10:07.562034Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Node C {\n",
      "\n",
      "\n",
      "\trate_up = 0.0;\n",
      "\trate_down = ((NOT A) AND (NOT B)) ? $escape : 0.0 ;\n",
      "}\n",
      "Node A {\n",
      "\n",
      "\n",
      "\trate_up = (C AND (NOT B))  ? $Au : 0.0;\n",
      "\trate_down = B ? $Ad : 0.0;\n",
      "}\n",
      "\n",
      "Node B {\n",
      "\n",
      "\n",
      "\trate_up = A ? $Au : 0.0;\n",
      "\trate_down = A ? 0.0 : $Ad ;\n",
      "}\n"
     ]
    }
   ],
   "source": [
    "fast = maboss.load(\"Four_cycle.bnd\", \"Four_cycle_FEscape.cfg\")\n",
    "fast.print_bnd()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6e5ace8e",
   "metadata": {},
   "source": [
    "## Simulations\n",
    "\n",
    "We run three simulations: the fast escape, the slow escape, and the slow escape over a much longer time\n",
    "(this last one takes a few minutes)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "dea519d7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:10:07.564323Z",
     "iopub.status.busy": "2026-10-07T21:10:07.564211Z",
     "iopub.status.idle": "2026-10-07T21:13:28.716009Z",
     "shell.execute_reply": "2026-10-07T21:13:28.715352Z"
    }
   },
   "outputs": [],
   "source": [
    "slow = maboss.load(\"Four_cycle.bnd\", \"Four_cycle_SEscape.cfg\")\n",
    "slow_long = maboss.load(\"Four_cycle.bnd\", \"Four_cycle_SEscape_long.cfg\")\n",
    "\n",
    "results = {\n",
    "    \"fast\": fast.run(),\n",
    "    \"slow\": slow.run(),\n",
    "    \"slow_long\": slow_long.run(),\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6698952",
   "metadata": {},
   "source": [
    "## Results\n",
    "\n",
    "For each simulation, we plot the probability of the states [1\\*\\*] (A is active) and [000] (the fixed point),\n",
    "as well as the entropy (H) and the transition entropy (TH), as functions of time."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "2c8cb7cd",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:13:28.717467Z",
     "iopub.status.busy": "2026-10-07T21:13:28.717369Z",
     "iopub.status.idle": "2026-10-07T21:13:28.720435Z",
     "shell.execute_reply": "2026-10-07T21:13:28.719778Z"
    }
   },
   "outputs": [],
   "source": [
    "def plot_toy(result, title):\n",
    "    states = result.get_states_probtraj()\n",
    "    nodes = result.get_nodes_probtraj()\n",
    "    entropy = result.get_entropy_trajectory()\n",
    "\n",
    "    fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(7, 5.5), sharex=True)\n",
    "    ax1.plot(nodes.index, nodes[\"A\"], label=\"[ABC] = [1**]\")\n",
    "    ax1.plot(states.index, states[\"<nil>\"], label=\"[ABC] = [000]\")\n",
    "    ax1.set_ylabel(\"Probability\")\n",
    "    ax1.set_ylim(-0.02, 1.02)\n",
    "    ax1.legend(loc=\"center right\")\n",
    "    ax1.set_title(title)\n",
    "\n",
    "    ax2.plot(entropy.index, entropy[\"TH\"], label=\"Transition entropy (TH)\")\n",
    "    ax2.plot(entropy.index, entropy[\"H\"], label=\"Entropy (H)\")\n",
    "    ax2.set_ylabel(\"Entropy\")\n",
    "    ax2.set_xlabel(\"Time\")\n",
    "    ax2.legend(loc=\"center right\")\n",
    "    fig.tight_layout()\n",
    "    return fig"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7101dbc1",
   "metadata": {},
   "source": [
    "### Fast escape\n",
    "\n",
    "The probability to reach the fixed point tends to 1, and both the entropy and the transition entropy tend to 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "63cee4c2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:13:28.722180Z",
     "iopub.status.busy": "2026-10-07T21:13:28.722050Z",
     "iopub.status.idle": "2026-10-07T21:13:29.119853Z",
     "shell.execute_reply": "2026-10-07T21:13:29.119200Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 700x550 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_toy(results[\"fast\"], \"Fast escape\")\n",
    "save(fig, \"toy_fast_escape\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0ef00044",
   "metadata": {},
   "source": [
    "### Slow escape\n",
    "\n",
    "When looking at the early response, the probabilities do not show the presence of the fixed point:\n",
    "the system seems stuck in a limit cycle."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "bc1d07c6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:13:29.122127Z",
     "iopub.status.busy": "2026-10-07T21:13:29.121924Z",
     "iopub.status.idle": "2026-10-07T21:13:29.389927Z",
     "shell.execute_reply": "2026-10-07T21:13:29.389246Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x550 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_toy(results[\"slow\"], \"Slow escape, early response\")\n",
    "save(fig, \"toy_slow_escape\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "61d71a87",
   "metadata": {},
   "source": [
    "It is only after a long time that the system reaches the fixed point, and that the entropy and transition\n",
    "entropy reach 0. The two simulations show both the transient and the asymptotic behaviours."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "23456149",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T21:13:29.391597Z",
     "iopub.status.busy": "2026-10-07T21:13:29.391477Z",
     "iopub.status.idle": "2026-10-07T21:13:29.687091Z",
     "shell.execute_reply": "2026-10-07T21:13:29.686531Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x550 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_toy(results[\"slow_long\"], \"Slow escape, late response\")\n",
    "save(fig, \"toy_slow_escape_long\")"
   ]
  }
 ],
 "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
}
