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This is a mathematical model investigating interactions among malignant tumor cells, CD4+ T cells, anti-tumor cytokines (specifically IFN-gamma), and the immune checkpoint inhibitor CTLA-4 to assess t. It can be used to explore immune response dynamics and compare pathway-level behavior across conditions.
Manifest
{
"io": {
"inputs": [
{
"name": "initial_unresolved_tumor_observable_1",
"label": "Initial Unresolved Tumor Observable 1",
"units": "native source value",
"default": 250000,
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.initial_unresolved_tumor_observable_1",
"description": "Initial Unresolved Tumor Observable 1. Sets the initial value of bundled SBML species `x`."
},
{
"name": "initial_unresolved_tumor_observable_2",
"label": "Initial Unresolved Tumor Observable 2",
"units": "native source value",
"default": 0,
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.initial_unresolved_tumor_observable_2",
"description": "Initial Unresolved Tumor Observable 2. Sets the initial value of bundled SBML species `y`."
},
{
"name": "initial_unresolved_tumor_observable_3",
"label": "Initial Unresolved Tumor Observable 3",
"units": "native source value",
"default": 0,
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.initial_unresolved_tumor_observable_3",
"description": "Initial Unresolved Tumor Observable 3. Sets the initial value of bundled SBML species `z`."
},
{
"name": "initial_unresolved_tumor_observable_4",
"label": "Initial Unresolved Tumor Observable 4",
"units": "native source value",
"default": 0,
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.initial_unresolved_tumor_observable_4",
"description": "Initial Unresolved Tumor Observable 4. Sets the initial value of bundled SBML species `w`."
},
{
"name": "tumor_growth_rate",
"label": "Tumor Growth Rate",
"units": "native source value",
"default": 0.514,
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.tumor_growth_rate",
"description": "Tumor Growth Rate. Sets bundled SBML parameter `r`."
},
{
"name": "tumor_death_cytokines_rate",
"label": "Tumor Death Cytokines Rate",
"units": "native source value",
"default": 0.2,
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.tumor_death_cytokines_rate",
"description": "Tumor Death Cytokines Rate. Sets bundled SBML parameter `delta`."
},
{
"name": "th_proliferation_rate",
"label": "Th Proliferation Rate",
"units": "native source value",
"default": 0.09,
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.th_proliferation_rate",
"description": "Th Proliferation Rate. Sets bundled SBML parameter `beta`."
},
{
"name": "interferon_gamma_decay_rate",
"label": "Interferon Gamma Decay Rate",
"units": "native source value",
"default": 34,
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.interferon_gamma_decay_rate",
"description": "Interferon Gamma Decay Rate. Sets bundled SBML parameter `mu`."
},
{
"name": "ctla_4_decay_rate",
"label": "Ctla 4 Decay Rate",
"units": "native source value",
"default": 8.3178,
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.ctla_4_decay_rate",
"description": "Ctla 4 Decay Rate. Sets bundled SBML parameter `d`."
}
],
"outputs": [
{
"name": "unresolved_tumor_observable_1",
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.unresolved_tumor_observable_1"
},
{
"name": "unresolved_tumor_observable_2",
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.unresolved_tumor_observable_2"
},
{
"name": "unresolved_tumor_observable_3",
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.unresolved_tumor_observable_3"
},
{
"name": "unresolved_tumor_observable_4",
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.unresolved_tumor_observable_4"
},
{
"name": "state",
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.state"
},
{
"name": "summary",
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.summary"
},
{
"name": "species_labels",
"maps_to": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.species_labels"
}
]
},
"title": "Yu2019 - A mathematical model of tumor-immune interactions with an immune checkpoint inhibitor Lab",
"models": [
{
"path": "models/core",
"alias": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model"
},
{
"path": "models/visualisation",
"alias": "visualisation"
}
],
"wiring": [
{
"to": [
"visualisation.immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model_state"
],
"from": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.state"
},
{
"to": [
"visualisation.immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model_summary"
],
"from": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.summary"
},
{
"to": [
"visualisation.immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model_species_labels"
],
"from": "immunology_sbml_yu2019_a_mathematical_model_of_tumor_immune_inte_model1911270002_model.species_labels"
}
],
"package": "yu2019-a-mathematical-model-of-tumor-immune-interactions",
"runtime": {
"duration": 10,
"initial_inputs": {},
"communication_step": 1
},
"version": "1.0.0",
"description": "This is a mathematical model investigating interactions among malignant tumor cells, CD4+ T cells, anti-tumor cytokines (specifically IFN-gamma), and the immune checkpoint inhibitor CTLA-4 to assess t. It can be used to explore immune response dynamics and compare pathway-level behavior across conditions.",
"schema_version": "2.0"
}Runtime
Duration10
Comms Step1
Runs
Total0
Completed0
Failed0
Metadata
Packageyu2019-a-mathematical-model-of-tumor-immune-interactions
Created2026-05-15
Updated2026-06-13
immunologysbmlbiomodels_ebifaithfulcuratedvisualisationother