dePillis2007 - Chemotherapy for tumors An analysis of the dynamics and a study of quadratic and linear optimal controls Lab
About lab
AbstractWe investigate a mathematical model of tumor–immune interactions with chemotherapy, and strategiesfor optimally administering treatment. In this paper we analyze the dynamics of this model, ch.
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Metadata
Packagedepillis2007-chemotherapy-for-tumors-an-analysis-of-the-dynamics
Created2026-05-15
Updated2026-05-15
immunologysbmlbiomodels_ebifaithfulcuratedvisualisation
Manifest
{
"io": {
"inputs": [
{
"name": "initial_unresolved_tumor_observable_1",
"label": "Initial Unresolved Tumor Observable 1",
"units": "native source value",
"default": 1,
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.initial_unresolved_tumor_observable_1",
"description": "Initial Unresolved Tumor Observable 1. Sets the initial value of bundled SBML species `T`."
},
{
"name": "initial_unresolved_tumor_observable_2",
"label": "Initial Unresolved Tumor Observable 2",
"units": "native source value",
"default": 1,
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.initial_unresolved_tumor_observable_2",
"description": "Initial Unresolved Tumor Observable 2. Sets the initial value of bundled SBML species `N`."
},
{
"name": "initial_unresolved_tumor_observable_3",
"label": "Initial Unresolved Tumor Observable 3",
"units": "native source value",
"default": 1,
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.initial_unresolved_tumor_observable_3",
"description": "Initial Unresolved Tumor Observable 3. Sets the initial value of bundled SBML species `C`."
},
{
"name": "initial_unresolved_tumor_observable_4",
"label": "Initial Unresolved Tumor Observable 4",
"units": "native source value",
"default": 0,
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.initial_unresolved_tumor_observable_4",
"description": "Initial Unresolved Tumor Observable 4. Sets the initial value of bundled SBML species `M`."
},
{
"name": "removal_of_chemotherapeutic_drug_at_ther_target_site_rate",
"label": "Removal Of Chemotherapeutic Drug At Ther Target Site Rate",
"units": "native source value",
"default": 0.9,
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.removal_of_chemotherapeutic_drug_at_ther_target_site_rate",
"description": "Removal Of Chemotherapeutic Drug At Ther Target Site Rate. Sets bundled SBML parameter `gamma`."
}
],
"outputs": [
{
"name": "unresolved_tumor_observable_1",
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.unresolved_tumor_observable_1"
},
{
"name": "unresolved_tumor_observable_2",
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.unresolved_tumor_observable_2"
},
{
"name": "unresolved_tumor_observable_3",
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.unresolved_tumor_observable_3"
},
{
"name": "unresolved_tumor_observable_4",
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.unresolved_tumor_observable_4"
},
{
"name": "state",
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.state"
},
{
"name": "summary",
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.summary"
},
{
"name": "species_labels",
"maps_to": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.species_labels"
}
]
},
"title": "dePillis2007 - Chemotherapy for tumors An analysis of the dynamics and a study of quadratic and linear optimal controls Lab",
"models": [
{
"path": "owned/models/immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model",
"alias": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model",
"provenance": {
"owned_path": "owned/models/immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model"
}
},
{
"path": "owned/models/visualisation",
"alias": "visualisation",
"provenance": {
"owned_path": "owned/models/visualisation"
}
}
],
"wiring": [
{
"to": [
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],
"from": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.state"
},
{
"to": [
"visualisation.immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model_summary"
],
"from": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.summary"
},
{
"to": [
"visualisation.immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model_species_labels"
],
"from": "immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model.species_labels"
}
],
"runtime": {
"duration": 10,
"initial_inputs": {},
"communication_step": 1
},
"description": "AbstractWe investigate a mathematical model of tumor–immune interactions with chemotherapy, and strategiesfor optimally administering treatment. In this paper we analyze the dynamics of this model, ch.",
"schema_version": "2.0"
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