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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.

Runtime

Duration10
Comms Step1

Runs

Total0
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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": [
        "visualisation.immunology_sbml_depillis2007_chemotherapy_for_tumors_an_analysis_model2001160001_model_state"
      ],
      "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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