{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e77261ce",
   "metadata": {},
   "source": [
    "# Prostate cancer\n",
    "\n",
    "This notebook reproduces results of the prostate cancer model of\n",
    "[Montagud et al. (eLife, 2022)](https://doi.org/10.7554/eLife.72626), on the [MaBoSS website](https://maboss.curie.fr).\n",
    "It is adapted from the [pyMaBoSS tutorial](https://pymaboss.readthedocs.io/en/latest/notebooks/Reproducing_Prostate_Montagud.html).\n",
    "\n",
    "The model describes the signaling pathways involved in prostate cancer. With 133 nodes, it is a large model:\n",
    "it requires an executable of MaBoSS supporting more than 128 nodes, such as `MaBoSS_256n`, which is provided by\n",
    "the conda package of pyMaBoSS. Without any mutation, it can be considered as a model of healthy prostate cells\n",
    "(the wild type model). The model was then personalized to the data of patients and cell lines.\n",
    "\n",
    "**Requirements:** [pyMaBoSS](https://pymaboss.readthedocs.io/), the files `Montagud2022_Prostate_Cancer.bnd` and\n",
    "`Montagud2022_Prostate_Cancer.cfg`, and the folder `patient_models`, in the same folder as this notebook."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "10d9517e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:11:39.383826Z",
     "iopub.status.busy": "2026-10-07T23:11:39.383653Z",
     "iopub.status.idle": "2026-10-07T23:11:41.394213Z",
     "shell.execute_reply": "2026-10-07T23:11:41.392958Z"
    }
   },
   "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": "4fe6c197",
   "metadata": {},
   "source": [
    "Final states are shown as stacked bars, with one color for each state, shared by all the figures."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "0b9903c2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:11:41.397112Z",
     "iopub.status.busy": "2026-10-07T23:11:41.396606Z",
     "iopub.status.idle": "2026-10-07T23:11:41.405498Z",
     "shell.execute_reply": "2026-10-07T23:11:41.404157Z"
    }
   },
   "outputs": [],
   "source": [
    "STATE_COLORS = {}\n",
    "\n",
    "def state_color(state):\n",
    "    if state == \"<nil>\":\n",
    "        return \"#D9D9D9\"\n",
    "    if state not in STATE_COLORS:\n",
    "        STATE_COLORS[state] = COLORS[len(STATE_COLORS) % len(COLORS)]\n",
    "    return STATE_COLORS[state]\n",
    "\n",
    "def final_states(results):\n",
    "    \"\"\"Final state distributions of several results, as a dataframe (one row per result).\"\"\"\n",
    "    table = pd.concat([r.get_last_states_probtraj().set_axis([name]) for name, r in results.items()]).fillna(0)\n",
    "    return table[table.sum().sort_values(ascending=False).index]\n",
    "\n",
    "def plot_final_states(table, title, min_proba=0.01):\n",
    "    \"\"\"Stacked bars of final state distributions; small states are grouped as 'others'.\"\"\"\n",
    "    main = [s for s in table.columns if table[s].max() >= min_proba]\n",
    "    table = table[main].assign(others=table.drop(columns=main).sum(axis=1))\n",
    "    fig, ax = plt.subplots(figsize=(8, 0.45 * len(table) + 1.5))\n",
    "    left = np.zeros(len(table))\n",
    "    for state in table.columns:\n",
    "        color = \"#F2F2F2\" if state == \"others\" else state_color(state)\n",
    "        ax.barh(table.index, table[state], left=left, color=color, edgecolor=\"white\",\n",
    "                label=state_label(state) if state != \"<nil>\" else \"no phenotype\")\n",
    "        left += table[state].values\n",
    "    ax.set_xlim(0, 1)\n",
    "    ax.invert_yaxis()\n",
    "    ax.set_xlabel(\"Probability\")\n",
    "    ax.set_title(title)\n",
    "    ax.grid(axis=\"y\", visible=False)\n",
    "    ax.legend(loc=\"center left\", bbox_to_anchor=(1, 0.5))\n",
    "    return fig"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f9971ee2",
   "metadata": {},
   "source": [
    "## The model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a9f985b4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:11:41.407955Z",
     "iopub.status.busy": "2026-10-07T23:11:41.407721Z",
     "iopub.status.idle": "2026-10-07T23:11:41.823428Z",
     "shell.execute_reply": "2026-10-07T23:11:41.822350Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "133 nodes\n",
      "Output nodes: Apoptosis, Metastasis, Proliferation\n"
     ]
    }
   ],
   "source": [
    "model = maboss.load(\"Montagud2022_Prostate_Cancer.bnd\", \"Montagud2022_Prostate_Cancer.cfg\")\n",
    "outputs = [n for n in model.network if not model.network[n].is_internal]\n",
    "print(len(model.network), \"nodes\")\n",
    "print(\"Output nodes:\", \", \".join(outputs))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0e10af58",
   "metadata": {},
   "source": [
    "## Default simulation\n",
    "\n",
    "In the configuration file, the inputs of the model are random: the simulation explores all the combinations of\n",
    "inputs, and thus all the possible phenotypes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9c106a34",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:11:41.825734Z",
     "iopub.status.busy": "2026-10-07T23:11:41.825523Z",
     "iopub.status.idle": "2026-10-07T23:11:47.130107Z",
     "shell.execute_reply": "2026-10-07T23:11:47.129127Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 800x195 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "result_default = model.run()\n",
    "fig = plot_final_states(final_states({\"All inputs\": result_default}), \"Final states, random inputs\")\n",
    "save(fig, \"prostate_default\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1621a436",
   "metadata": {},
   "source": [
    "## Healthy cells\n",
    "\n",
    "In the article, *\"these healthy cells mostly exhibit quiescence (neither proliferation nor apoptosis) in the\n",
    "absence of any input\"* (Figure 3A). We set all the inputs to 0."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "19997995",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:11:47.132989Z",
     "iopub.status.busy": "2026-10-07T23:11:47.132746Z",
     "iopub.status.idle": "2026-10-07T23:11:52.952269Z",
     "shell.execute_reply": "2026-10-07T23:11:52.951228Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inputs = [\"EGF\", \"FGF\", \"Androgen\", \"TGFb\", \"Hypoxia\", \"Nutrients\", \"Carcinogen\", \"fused_event\", \"Acidosis\",\n",
    "          \"SPOP\", \"TNFalpha\"]\n",
    "\n",
    "model_healthy = model.copy()\n",
    "for node in inputs:\n",
    "    model_healthy.network.set_istate(node, [1, 0])\n",
    "result_healthy = model_healthy.run()\n",
    "\n",
    "nodes = result_healthy.get_nodes_probtraj()\n",
    "fig, ax = plt.subplots()\n",
    "for node in nodes.columns:\n",
    "    ax.plot(nodes.index, nodes[node], label=node, color=state_color(node))\n",
    "ax.set_xlabel(\"Time\")\n",
    "ax.set_ylabel(\"Probability\")\n",
    "ax.set_title(\"Healthy cells, without inputs\")\n",
    "ax.legend(loc=\"center left\", bbox_to_anchor=(1, 0.5))\n",
    "save(fig, \"prostate_healthy\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "32a3807d",
   "metadata": {},
   "source": [
    "## Growth condition and MYC_MAX inhibition\n",
    "\n",
    "*\"When Nutrients and growth factors (EGF or FGF) are present, Proliferation is activated\"*. We activate EGF and\n",
    "Nutrients, and simulate the inhibition of MYC_MAX, which blocks proliferation (Appendix 1, figure 34)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ac7d1f7f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:11:52.954353Z",
     "iopub.status.busy": "2026-10-07T23:11:52.954113Z",
     "iopub.status.idle": "2026-10-07T23:12:01.225276Z",
     "shell.execute_reply": "2026-10-07T23:12:01.224101Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x285 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model_growth = model_healthy.copy()\n",
    "model_growth.network.set_istate(\"EGF\", [0, 1])\n",
    "model_growth.network.set_istate(\"Nutrients\", [0, 1])\n",
    "\n",
    "model_growth_myc = model_growth.copy()\n",
    "model_growth_myc.mutate(\"MYC_MAX\", \"OFF\")\n",
    "\n",
    "growth = final_states({\n",
    "    \"No input\": result_healthy,\n",
    "    \"EGF + Nutrients\": model_growth.run(),\n",
    "    \"EGF + Nutrients, MYC_MAX inhibited\": model_growth_myc.run(),\n",
    "})\n",
    "fig = plot_final_states(growth, \"Growth condition and MYC_MAX inhibition\")\n",
    "save(fig, \"prostate_growth\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf68f802",
   "metadata": {},
   "source": [
    "## Single mutants\n",
    "\n",
    "To find other mutations that reduce or block proliferation, we simulate the inhibition of several candidate\n",
    "nodes, in the growth condition, with the functions of `maboss.pipelines`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b9cd4081",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:12:01.228749Z",
     "iopub.status.busy": "2026-10-07T23:12:01.228416Z",
     "iopub.status.idle": "2026-10-07T23:12:23.566426Z",
     "shell.execute_reply": "2026-10-07T23:12:23.565731Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x420 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from maboss.pipelines import simulate_single_mutants, filter_sensitivity\n",
    "\n",
    "candidates = [\"AKT\", \"AR\", \"EGFR\", \"ERK\", \"MYC_MAX\", \"ROS\"]\n",
    "mutants = simulate_single_mutants(model_growth, candidates, \"OFF\")\n",
    "\n",
    "# The results are indexed by (node, \"OFF\")\n",
    "table = final_states({f\"{node} inhibited\": r for (node, _), r in mutants.items()})\n",
    "fig = plot_final_states(table, \"Inhibition of candidate nodes, growth condition\")\n",
    "save(fig, \"prostate_mutants\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99accf76",
   "metadata": {},
   "source": [
    "`filter_sensitivity` selects the mutants without any proliferation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "8b10076e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:12:23.568952Z",
     "iopub.status.busy": "2026-10-07T23:12:23.568779Z",
     "iopub.status.idle": "2026-10-07T23:12:23.572583Z",
     "shell.execute_reply": "2026-10-07T23:12:23.571955Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Mutants without proliferation: AKT, EGFR, MYC_MAX\n"
     ]
    }
   ],
   "source": [
    "no_proliferation = filter_sensitivity(mutants, state=\"Proliferation\", maximum=0)\n",
    "print(\"Mutants without proliferation:\", \", \".join(sorted(node for node, _ in no_proliferation)))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d66af203",
   "metadata": {},
   "source": [
    "## Personalized models\n",
    "\n",
    "Montagud et al. personalized the model to the data of patients (TCGA) and cell lines. We use here ten of the\n",
    "patient models, provided with the article. Their phenotypes vary a lot."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d854c8a5",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:12:23.574771Z",
     "iopub.status.busy": "2026-10-07T23:12:23.574604Z",
     "iopub.status.idle": "2026-10-07T23:13:12.166714Z",
     "shell.execute_reply": "2026-10-07T23:13:12.165539Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "patients = {\n",
    "    f\"Patient {i}\": maboss.load(f\"patient_models/PC_20191219_TCGA_mutCNA_RNA_{i}.bnd\",\n",
    "                                f\"patient_models/PC_20191219_TCGA_mutCNA_RNA_{i}.cfg\")\n",
    "    for i in range(10)\n",
    "}\n",
    "patients_states = final_states({name: m.run() for name, m in patients.items()})\n",
    "fig = plot_final_states(patients_states, \"Personalized patient models\")\n",
    "save(fig, \"prostate_patients\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94de7e52",
   "metadata": {},
   "source": [
    "We now simulate the growth condition with an inhibition of MYC_MAX on each personalized model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ba4a94a1",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:13:12.168872Z",
     "iopub.status.busy": "2026-10-07T23:13:12.168626Z",
     "iopub.status.idle": "2026-10-07T23:13:51.945180Z",
     "shell.execute_reply": "2026-10-07T23:13:51.943962Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def growth_myc(patient_model):\n",
    "    m = patient_model.copy()\n",
    "    m.network.set_istate(\"EGF\", [0, 1])\n",
    "    m.network.set_istate(\"Nutrients\", [0, 1])\n",
    "    m.mutate(\"MYC_MAX\", \"OFF\")\n",
    "    return m.run()\n",
    "\n",
    "patients_myc = final_states({name: growth_myc(m) for name, m in patients.items()})\n",
    "fig = plot_final_states(patients_myc, \"Personalized models, growth condition and MYC_MAX inhibition\")\n",
    "save(fig, \"prostate_patients_myc\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "632dff30",
   "metadata": {},
   "source": [
    "The personalized models in which MYC_MAX inhibition reduces proliferation below 10%:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "1978353d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-07T23:13:51.947662Z",
     "iopub.status.busy": "2026-10-07T23:13:51.947476Z",
     "iopub.status.idle": "2026-10-07T23:13:51.956960Z",
     "shell.execute_reply": "2026-10-07T23:13:51.955901Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Proliferation</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Patient 2</th>\n",
       "      <td>0.031572</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Patient 4</th>\n",
       "      <td>0.000000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Patient 8</th>\n",
       "      <td>0.082875</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           Proliferation\n",
       "Patient 2       0.031572\n",
       "Patient 4       0.000000\n",
       "Patient 8       0.082875"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "proliferation = patients_myc[[s for s in patients_myc.columns if \"Proliferation\" in s.split(\" -- \")]].sum(axis=1)\n",
    "proliferation[proliferation < 0.1].rename(\"Proliferation\").to_frame()"
   ]
  }
 ],
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