{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "79fc3188",
   "metadata": {},
   "source": [
    "# UPMaBoSS: sensitivity to the update time\n",
    "\n",
    "This notebook complements the [UPMaBoSS cell fate notebook](CellFateModel_uppmaboss.ipynb) of the\n",
    "[MaBoSS website](https://maboss.curie.fr).\n",
    "\n",
    "With UPMaBoSS, the population is updated at regular intervals: the update time is set by `max_time` in the\n",
    "configuration file, and the number of updates by `steps` in the update file. This update time cannot be set\n",
    "from biological considerations: it should be smaller than the first transient effect, and the sensitivity of the\n",
    "results to its value should be studied. We do so for the cell fate model, with a transient TNF activation and\n",
    "without TNF.\n",
    "\n",
    "**Requirements:** [pyMaBoSS](https://pymaboss.readthedocs.io/), and the files `CellFateModel_uppmaboss.bnd`,\n",
    "`CellFateModel_uppmaboss.cfg` and `CellFateModel_uppmaboss.upp`, in the same folder as this notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d8f73dfc",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T22:59:04.397236Z",
     "iopub.status.busy": "2026-10-07T22:59:04.397094Z",
     "iopub.status.idle": "2026-10-07T22:59:06.361606Z",
     "shell.execute_reply": "2026-10-07T22:59:06.360827Z"
    }
   },
   "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": "code",
   "execution_count": 2,
   "id": "a73c648d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T22:59:06.364250Z",
     "iopub.status.busy": "2026-10-07T22:59:06.363932Z",
     "iopub.status.idle": "2026-10-07T22:59:06.474632Z",
     "shell.execute_reply": "2026-10-07T22:59:06.473731Z"
    }
   },
   "outputs": [],
   "source": [
    "bnd_file = \"CellFateModel_uppmaboss.bnd\"\n",
    "cfg_file = \"CellFateModel_uppmaboss.cfg\"\n",
    "upp_file = \"CellFateModel_uppmaboss.upp\"\n",
    "\n",
    "model_WT = maboss.load(bnd_file, cfg_file)\n",
    "model_noTNF = model_WT.copy()\n",
    "model_noTNF.network.set_istate(\"TNF\", [1, 0])\n",
    "\n",
    "max_time = float(model_WT.param[\"max_time\"])\n",
    "time_tick = float(model_WT.param[\"time_tick\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "51f6a00a",
   "metadata": {},
   "source": [
    "## First transient effects\n",
    "\n",
    "We first run MaBoSS simulations over 48 hours, without taking into account cell death and division, to find the\n",
    "first transient effects."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b45414ba",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T22:59:06.477832Z",
     "iopub.status.busy": "2026-10-07T22:59:06.477622Z",
     "iopub.status.idle": "2026-10-07T22:59:09.034851Z",
     "shell.execute_reply": "2026-10-07T22:59:09.033173Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 2, figsize=(12, 4), sharey=True)\n",
    "for ax, (name, model) in zip(axes, [(\"With a pulse of TNF\", model_WT), (\"Without TNF\", model_noTNF)]):\n",
    "    model_48h = maboss.copy_and_update_parameters(model, {\"max_time\": 48})\n",
    "    model_48h.network.set_output((\"Death\", \"Division\", \"NFkB\"))\n",
    "    nodes = model_48h.run().get_nodes_probtraj()\n",
    "    for node in [\"Death\", \"Division\", \"NFkB\"]:\n",
    "        ax.plot(nodes.index, nodes[node], label=node)\n",
    "    ax.set_xlabel(\"Time (hours)\")\n",
    "    ax.set_title(name)\n",
    "axes[0].set_ylabel(\"Probability\")\n",
    "axes[0].legend()\n",
    "save(fig, \"upmaboss_timestep_maboss\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "400e4498",
   "metadata": {},
   "source": [
    "With TNF, the first local extremum occurs at t = 1 hour. Without TNF, the asymptotic behaviour is reached very\n",
    "fast, and the probabilities vary very little (NFκB stays inactive). In both cases, the update time should be at\n",
    "most 1 hour.\n",
    "\n",
    "## UPMaBoSS simulations with different update times\n",
    "\n",
    "We run UPMaBoSS with update times of 1, 1/2, 1/3 and 1/4 hour, keeping a total time of 48 hours."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "be0462a8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T22:59:09.037966Z",
     "iopub.status.busy": "2026-10-07T22:59:09.037587Z",
     "iopub.status.idle": "2026-10-07T23:03:24.824736Z",
     "shell.execute_reply": "2026-10-07T23:03:24.823319Z"
    }
   },
   "outputs": [],
   "source": [
    "def run_with_update_time(model, divisor, name):\n",
    "    \"\"\"Population ratios (indexed by time) for an update time of max_time / divisor, over 48 hours.\"\"\"\n",
    "    params = {\"max_time\": max_time / divisor, \"time_tick\": time_tick / divisor}\n",
    "    upp = maboss.UpdatePopulation(maboss.copy_and_update_parameters(model, params), upp_file)\n",
    "    upp.setStepNumber(48 * divisor)\n",
    "    ratios = upp.run(f\"{name}_R{divisor}\").get_population_ratios(f\"Update time = 1/{divisor} h\" if divisor > 1 else \"Update time = 1 h\")\n",
    "    ratios.index = ratios.index.astype(float)  # already indexed by time\n",
    "    return ratios\n",
    "\n",
    "divisors = [1, 2, 3, 4]\n",
    "results = {\n",
    "    \"With a pulse of TNF\": [run_with_update_time(model_WT, d, \"WT\") for d in divisors],\n",
    "    \"Without TNF\": [run_with_update_time(model_noTNF, d, \"noTNF\") for d in divisors],\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "875d5cb3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:03:24.828465Z",
     "iopub.status.busy": "2026-10-07T23:03:24.827910Z",
     "iopub.status.idle": "2026-10-07T23:03:25.587594Z",
     "shell.execute_reply": "2026-10-07T23:03:25.586288Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 3, figsize=(15, 4))\n",
    "panels = [(\"With a pulse of TNF\", None), (\"Without TNF\", None), (\"Without TNF\", 10)]\n",
    "for ax, (name, xmax) in zip(axes, panels):\n",
    "    for ratios in results[name]:\n",
    "        ax.plot(ratios.index, ratios.values, marker=\"o\", markersize=2, label=ratios.name)\n",
    "    ax.set_xlabel(\"Time (hours)\")\n",
    "    ax.set_title(name + (f\", first {xmax} hours\" if xmax else \"\"))\n",
    "    if xmax:\n",
    "        ax.set_xlim(0, xmax)\n",
    "axes[0].set_ylabel(\"Population ratio\")\n",
    "axes[0].legend()\n",
    "fig.tight_layout()\n",
    "save(fig, \"upmaboss_timestep\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "198299fd",
   "metadata": {},
   "source": [
    "With or without TNF, the population dynamics are robust: the different update times give almost identical\n",
    "population ratios, the shortest update times only resolving more finely the first hour."
   ]
  }
 ],
 "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
}
