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This is a mathematical model consisting of a system of nonlinear ordinary differential equations describing tumor cells and immune effectors, as well as the immuno-stimulatory and suppressive cytokine. 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": 1000,
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.initial_unresolved_tumor_observable_1",
"description": "Initial Unresolved Tumor Observable 1. Sets the initial value of bundled SBML species `E`."
},
{
"name": "initial_unresolved_tumor_observable_2",
"label": "Initial Unresolved Tumor Observable 2",
"units": "native source value",
"default": 1,
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.initial_unresolved_tumor_observable_2",
"description": "Initial Unresolved Tumor Observable 2. Sets the initial value of bundled SBML species `T`."
},
{
"name": "initial_unresolved_tumor_observable_3",
"label": "Initial Unresolved Tumor Observable 3",
"units": "native source value",
"default": 1000,
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.initial_unresolved_tumor_observable_3",
"description": "Initial Unresolved Tumor Observable 3. Sets the initial value of bundled SBML species `I`."
},
{
"name": "initial_unresolved_tumor_observable_4",
"label": "Initial Unresolved Tumor Observable 4",
"units": "native source value",
"default": 0,
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.initial_unresolved_tumor_observable_4",
"description": "Initial Unresolved Tumor Observable 4. Sets the initial value of bundled SBML species `S`."
},
{
"name": "effector_cell_death_rate",
"label": "Effector Cell Death Rate",
"units": "native source value",
"default": 0.03,
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.effector_cell_death_rate",
"description": "Effector Cell Death Rate. Sets bundled SBML parameter `mu_1`."
},
{
"name": "tumour_growth_rate",
"label": "Tumour Growth Rate",
"units": "native source value",
"default": 0.18,
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.tumour_growth_rate",
"description": "Tumour Growth Rate. Sets bundled SBML parameter `r`."
},
{
"name": "interleukin_2_decay_rate",
"label": "Interleukin 2 Decay Rate",
"units": "native source value",
"default": 10,
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.interleukin_2_decay_rate",
"description": "Interleukin 2 Decay Rate. Sets bundled SBML parameter `mu_2`."
},
{
"name": "transforming_growth_factor_b_decay_rate",
"label": "Transforming Growth Factor B Decay Rate",
"units": "native source value",
"default": 10,
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.transforming_growth_factor_b_decay_rate",
"description": "Transforming Growth Factor B Decay Rate. Sets bundled SBML parameter `mu_3`."
}
],
"outputs": [
{
"name": "unresolved_tumor_observable_1",
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.unresolved_tumor_observable_1"
},
{
"name": "unresolved_tumor_observable_2",
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.unresolved_tumor_observable_2"
},
{
"name": "unresolved_tumor_observable_3",
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.unresolved_tumor_observable_3"
},
{
"name": "unresolved_tumor_observable_4",
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.unresolved_tumor_observable_4"
},
{
"name": "state",
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.state"
},
{
"name": "summary",
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.summary"
},
{
"name": "species_labels",
"maps_to": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.species_labels"
}
]
},
"title": "Arciero2004 - A mathematical model of tumor-immune evasion and siRNA treatment Lab",
"models": [
{
"path": "models/core",
"alias": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model"
},
{
"path": "models/visualisation",
"alias": "visualisation"
}
],
"wiring": [
{
"to": [
"visualisation.immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model_state"
],
"from": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.state"
},
{
"to": [
"visualisation.immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model_summary"
],
"from": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.summary"
},
{
"to": [
"visualisation.immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model_species_labels"
],
"from": "immunology_sbml_arciero2004_a_mathematical_model_of_tumor_immune_model1907310002_model.species_labels"
}
],
"package": "arciero2004-a-mathematical-model-of-tumor-immune-evasion",
"runtime": {
"duration": 10,
"initial_inputs": {},
"communication_step": 1
},
"version": "1.0.1",
"description": "This is a mathematical model consisting of a system of nonlinear ordinary differential equations describing tumor cells and immune effectors, as well as the immuno-stimulatory and suppressive cytokine. 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
Packagearciero2004-a-mathematical-model-of-tumor-immune-evasion
Created2026-05-15
Updated2026-06-13
immunologysbmlbiomodels_ebifaithfulcuratedvisualisationother