diff --git a/Examples/biology/contactinhibitionhippoyap/contact-inhibition-hippo-yap.ipynb b/Examples/biology/contactinhibitionhippoyap/contact-inhibition-hippo-yap.ipynb new file mode 100644 index 00000000..9bc96ee9 --- /dev/null +++ b/Examples/biology/contactinhibitionhippoyap/contact-inhibition-hippo-yap.ipynb @@ -0,0 +1,282 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "9817d712", + "metadata": {}, + "source": [ + "### **Hippo Pathway Model: Contact inhibition and YAP regulation through the MST/LATS signaling cascade**\n", + "\n", + "##### This model represents the Hippo pathway, where increased cell density activates MST and LATS, leading to YAP phosphorylation, cytoplasmic sequestration, and reduced YAP–TEAD transcriptional activity." + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "b454128b", + "metadata": {}, + "outputs": [], + "source": [ + "from molclustpy import * # imports BNG_multiTrials, NFSim_output_analyzer, and different visualization functions " + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "9d261fbb", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "***** // ***** \n", + "Class : BNG_multiTrials\n", + "File Path : contact-inhibition-hippo-yap_mcp.bngl\n", + "\n", + "t_end : 0.02 seconds \t output_steps : 20\n", + "Number of runs: 20\n", + "\n", + "Molecules: ['Contact', 'LATS', 'MST', 'TEAD', 'YAP']\n", + "Number of binding sites: [1, 1, 1, 2, 3]\n", + "Species Counts: [1000.0, 200.0, 200.0, 500.0, 150.0]\n", + "\n", + "NFsim progress : [****************************************] 100%\n", + "Execution time : 13.3267 seconds\n", + "\n" + ] + } + ], + "source": [ + "# bngl file (BioNetGen model) \n", + "# the bngl file location is currently same as the notebook; i.e., you have to place the bngl file in the \n", + "# same directory with the notebook\n", + "\n", + "bng_file = 'contact-inhibition-hippo-yap_mcp.bngl'\n", + "\n", + "# Initialization of the Simulation Object\n", + "simObj = BNG_multiTrials(bng_file, t_end=0.02, steps=20, numRuns=20)\n", + "print(simObj)\n", + "simObj.runTrials(delSim=False)\n", + "print()" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "a5ba8e8b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "\n", + "***** // ***** \n", + "Class : NFSim_output_analyzer\n", + "System : contact-inhibition-hippo-yap_mcp\n", + "Total Trajectories : 20\n", + "\n", + "Processing gdat_files : [****************************************] 100%\n", + "\n", + "Observables: {0: 'time', 1: 'Transcript_Active', 2: 'YAP_Sequested', 3: 'Active_LATS', 4: 'MST_Trigger', 5: 'Nuclear_YAP', 6: 'Active_MST'}\n", + "\n", + "Processing species_files : [****************************************] 100%\n" + ] + } + ], + "source": [ + "# analyze data across multiple trials\n", + "outpath = simObj.getOutPath()\n", + "molecules, numSite, counts, _ = simObj.getMolecules()\n", + "nfsObj = NFSim_output_analyzer(outpath)\n", + "print(nfsObj)\n", + "nfsObj.process_gdatfiles()\n", + "nfsObj.process_speciesfiles(molecules, counts, numSite)" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "0ff3fea6", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# indexList for observables\n", + "plotTimeCourse(outpath, obsList=[2,4,6])" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "33eca493", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 2A: Cluster size distribution (ACO: Average Cluster Occupancy)\n", + "plotClusterDist(outpath)\n", + "# Binned distribution by providing cluster size ranges\n", + "plotClusterDist(outpath, sizeRange=[1,2])" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "700a37d3", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 2B: Number of bonds per molecule\n", + "plotBondsPerMolecule(outpath)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "0104fe40", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 2C: Bound fraction distribution\n", + "plotBoundFraction(outpath)" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "dbc32a5d", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 3A. Average composition of indivual clusters. \n", + "# Default is all the clusters present in the system. As before, adjust width and transparency (alpha) for visual clarity.\n", + "plotClusterComposition(outpath, specialClusters=[], width=0.15, alpha=0.5)\n", + "\n", + "# You can look at the composition of a set of clusters (specialClusters) also\n", + "plotClusterComposition(outpath, specialClusters=[2, 4, 10], width=0.15, alpha=0.7)" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "d3734e73", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# 3B. Bondcount distribution of each molecular type \n", + "# plotBondCounts(outpath, molecules=molecules) # Reading molecules from previous block\n", + "\n", + "# You may provide a subset of molecules also\n", + "plotBondCounts(outpath, molecules=['YAP'])" + ] + } + ], + "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": "3.14.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/Examples/biology/contactinhibitionhippoyap/contact-inhibition-hippo-yap_mcp.bngl b/Examples/biology/contactinhibitionhippoyap/contact-inhibition-hippo-yap_mcp.bngl new file mode 100644 index 00000000..9a4794f0 --- /dev/null +++ b/Examples/biology/contactinhibitionhippoyap/contact-inhibition-hippo-yap_mcp.bngl @@ -0,0 +1,102 @@ +begin model +begin parameters + # Hippo Pathway: Contact inhibition and YAP regulation. + # Advanced features: MoveConnected for YAP-TEAD complex and SAT kinetics. + + # Contact & Polarity + k_contact 0.5 # Density stimulus + k_mst_act 2.0 # MST1/2 activation relay + k_mst_reset 0.1 # Basal reset + + # MST-LATS Axis + k_lats_phos 3.0 # LATS1/2 phosphorylation (MST-mediated) + Km_lats 200 # Saturable kinase activity + + # YAP Dynamics + k_yap_phos 5.0 # LATS-driven inactivation + k_nuclear 1.0 # Unphosphorylated import + k_export 0.2 # Sequestration/Export + + # TEAD Interaction + k_tead_bind 10.0 # Fast nuclear partner recruitment + + # Inhibitors + k_nf2_act 0.8 # Merlin/NF2 stabilization + k_reset 0.05 # General turnover + + # Initials + MST_tot 200 + LATS_tot 200 + YAP_tot 500 + TEAD_tot 150 + NF2_tot 100 + Contact_total 1000 + k_contact_pulse 1.0 # Density-dependent activation triggernal rate +end parameters + +begin molecule types + Contact(s~low~high) + MST(s~U~A) + LATS(s~U~P) + YAP(b,s~U~P,loc~cyt~nuc) + TEAD(b,loc~nuc) +end molecule types + +begin seed species + Contact(s~low) Contact_total + MST(s~U) MST_tot + LATS(s~U) LATS_tot + YAP(b,s~U,loc~cyt) YAP_tot + TEAD(b,loc~nuc) TEAD_tot +end seed species + +begin observables + # KEY BIOLOGICAL OUTPUTS + Molecules Transcript_Active YAP(b!1).TEAD(b!1) # Functional effector + Molecules YAP_Sequested YAP(s~P,loc~cyt) # Inhibited reservoir + Molecules Active_LATS LATS(s~P) # Signaling relay status + Molecules MST_Trigger MST(s~A) # Top-level drive + Molecules Nuclear_YAP YAP(loc~nuc) # Transcription drive + Molecules Active_MST MST(s~A) # Upstream signal status +end observables + +begin functions + # Saturable LATS activation by MST + v_lats_act() = k_lats_phos * (Active_MST / (Km_lats + Active_MST)) +end functions + +begin reaction rules + ## ACTIVATION + # High density stimulus activates MST (via contact proxy) + Contact(s~high) + MST(s~U) -> Contact(s~high) + MST(s~A) k_mst_act + + # MST activates LATS (Functional Rate - Saturation) + LATS(s~U) -> LATS(s~P) v_lats_act() + + ## YAP REGULATION + # Active LATS phosphorylates cytosolic YAP + LATS(s~P) + YAP(loc~cyt,s~U) -> LATS(s~P) + YAP(loc~cyt,s~P) k_yap_phos + + # Unphosphorylated YAP translocates (MoveConnected: partner stays) + YAP(s~U,loc~cyt) <-> YAP(s~U,loc~nuc) k_nuclear,0.1 + + # Nuclear YAP binds TEAD + YAP(loc~nuc,s~U,b) + TEAD(b) <-> YAP(loc~nuc,s~U,b!1).TEAD(b!1) k_tead_bind,0.5 + + # Phospho-YAP is excluded/exported + YAP(s~P,loc~nuc) -> YAP(s~P,loc~cyt) 5.0 + + ## DYNAMICS Stage + # Density stimulus (Self-induction over time) + Contact(s~low) -> Contact(s~high) k_contact_pulse + + # Reset + YAP(s~P) -> YAP(s~U) k_reset + MST(s~A) -> MST(s~U) k_mst_reset + LATS(s~P) -> LATS(s~U) k_reset +end reaction rules + + +end model + +writeXML() diff --git a/scripts/MCP/mcp.py b/scripts/MCP/mcp.py new file mode 100644 index 00000000..8b137891 --- /dev/null +++ b/scripts/MCP/mcp.py @@ -0,0 +1 @@ +