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Alvarez2019 - A nonlinear mathematical model of cell-mediated immune response for tumor phenotypic heterogeneity Lab

About lab

This is a non-linear mathematical model of cancer immunosurveillance that takes into account intratumoral phenotypic heterogeneity, such as differential expression of cell surface receptors and growth. It can be used to explore immune response dynamics and compare pathway-level behavior across conditions.

Runtime

Duration10
Comms Step1

Runs

Total0
Completed0
Failed0

Metadata

Packagealvarez2019-a-nonlinear-mathematical-model-of-cell-mediated-immu
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": 80000000,
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.initial_unresolved_tumor_observable_1",
        "description": "Initial Unresolved Tumor Observable 1. Sets the initial value of bundled SBML species `T_1`."
      },
      {
        "name": "initial_unresolved_tumor_observable_2",
        "label": "Initial Unresolved Tumor Observable 2",
        "units": "native source value",
        "default": 20000000,
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.initial_unresolved_tumor_observable_2",
        "description": "Initial Unresolved Tumor Observable 2. Sets the initial value of bundled SBML species `T_2`."
      },
      {
        "name": "initial_unresolved_tumor_observable_3",
        "label": "Initial Unresolved Tumor Observable 3",
        "units": "native source value",
        "default": 10500000,
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.initial_unresolved_tumor_observable_3",
        "description": "Initial Unresolved Tumor Observable 3. Sets the initial value of bundled SBML species `E_1_Innate`."
      },
      {
        "name": "initial_unresolved_tumor_observable_4",
        "label": "Initial Unresolved Tumor Observable 4",
        "units": "native source value",
        "default": 0,
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.initial_unresolved_tumor_observable_4",
        "description": "Initial Unresolved Tumor Observable 4. Sets the initial value of bundled SBML species `E_2_Adaptive`."
      },
      {
        "name": "tumor_killing_t1_e2_rate",
        "label": "Tumor Killing T1 E2 Rate",
        "units": "native source value",
        "default": 1.101e-10,
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.tumor_killing_t1_e2_rate",
        "description": "Tumor Killing T1 E2 Rate. Sets bundled SBML parameter `beta`."
      },
      {
        "name": "e1_death_rate",
        "label": "E1 Death Rate",
        "units": "native source value",
        "default": 0.0412,
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.e1_death_rate",
        "description": "E1 Death Rate. Sets bundled SBML parameter `c_2`."
      },
      {
        "name": "e2_death_rate",
        "label": "E2 Death Rate",
        "units": "native source value",
        "default": 0.02,
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.e2_death_rate",
        "description": "E2 Death Rate. Sets bundled SBML parameter `d_3`."
      }
    ],
    "outputs": [
      {
        "name": "unresolved_tumor_observable_1",
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.unresolved_tumor_observable_1"
      },
      {
        "name": "unresolved_tumor_observable_2",
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.unresolved_tumor_observable_2"
      },
      {
        "name": "unresolved_tumor_observable_3",
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.unresolved_tumor_observable_3"
      },
      {
        "name": "unresolved_tumor_observable_4",
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.unresolved_tumor_observable_4"
      },
      {
        "name": "state",
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.state"
      },
      {
        "name": "summary",
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.summary"
      },
      {
        "name": "species_labels",
        "maps_to": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.species_labels"
      }
    ]
  },
  "title": "Alvarez2019 - A nonlinear mathematical model of cell-mediated immune response for tumor phenotypic heterogeneity Lab",
  "models": [
    {
      "path": "owned/models/immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model",
      "alias": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model",
      "provenance": {
        "owned_path": "owned/models/immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model"
      }
    },
    {
      "path": "owned/models/visualisation",
      "alias": "visualisation",
      "provenance": {
        "owned_path": "owned/models/visualisation"
      }
    }
  ],
  "wiring": [
    {
      "to": [
        "visualisation.immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model_state"
      ],
      "from": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.state"
    },
    {
      "to": [
        "visualisation.immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model_summary"
      ],
      "from": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.summary"
    },
    {
      "to": [
        "visualisation.immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model_species_labels"
      ],
      "from": "immunology_sbml_alvarez2019_a_nonlinear_mathematical_model_of_ce_biomd0000000790_model.species_labels"
    }
  ],
  "runtime": {
    "duration": 10,
    "initial_inputs": {},
    "communication_step": 1
  },
  "description": "This is a non-linear mathematical model of cancer immunosurveillance that takes into account intratumoral phenotypic heterogeneity, such as differential expression of cell surface receptors and growth. It can be used to explore immune response dynamics and compare pathway-level behavior across conditions.",
  "schema_version": "2.0"
}

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