Nwabugwu2013 - A Tumor-Immune Mathematical Model of CD4+ T Helper Cell
Its a mathematical model presenting the interaction between a growing tumor and immune system. Model involves tumor cells, dendritic cell, helper Tcells, regulatory Tcells, effector cells and certain cytokines (e.g. TGFbeta, IL10, IL2 ) produced by these cells. It represent a dynamic regulation of tumor production/killing by different immune cells and cytokines. Model is derived from Tessi-Roberton 2012.
How this model is classified mathematically and dynamically.
- Model class
- Formalism
- Determinism
- Deterministic
- Time dynamics
- Continuous
- Spatial
- Compartmental
- Multiscale
- No
Organisms, entities and processes this model represents.
- Organisms
- Infectious agents
- Not recorded
- Health conditions
- Not recorded
- Biological processes
- Molecular entities
- Not recorded
- Proteins / genes
- Not recorded
The data this model consumes and produces when executed.
Parameters
| Name | Default | Unit | Meaning |
|---|---|---|---|
| gamma | 333 | per millisecond | Global parameter gamma. |
| m | 0.5 | dimensionless | Global parameter m. |
| gamma1 | 0.333 | Not recorded | Global parameter gamma1. |
| Tx | 0.999999666666889 | Not recorded | Global parameter Tx. |
| k1 | 100 | dimensionless | Global parameter k1. |
| n | 0.6666 | dimensionless | Global parameter n. |
| P | 3 | dimensionless | Global parameter P. |
| deltaU | 0.14 | per millisecond | Global parameter deltaU. |
| deltaD | 0.5 | per millisecond | Global parameter deltaD. |
| deltaA | 0.2 | per millisecond | Global parameter deltaA. |
Initial conditions
| Name | Value | Unit |
|---|---|---|
| Tumorcells | 1 | millimole |
| func_CD8_ETC | 0.00001 | millimole |
| func_CD4_HTC | 0 | millimole |
| IL2 | 0 | millimole |
| TGFb | 0 | millimole |
Outputs
| Name | Quantity | Unit | Format |
|---|---|---|---|
| species trajectories | Time-dependent trajectories of tumor, immune-cell, and cytokine species produced by the simulation. | Not recorded | Not recorded |
Experiment protocol
A deterministic continuous-time simulation of the compartmental SBML model; timestep, duration, solver, and observable export settings are not specified in the artifact.
- Observables
- Tumorcellssl_CD8_ETCfunc_CD8_ETCsl_CD4_HTCfunc_CD4_HTCsl_TRegsul_DCl_DCfunc_TRegsIL2TGFbIL10
Runtime environment, dependencies, and compute requirements.
- Language
- COPASI 4.27
- Environment
- native
The artifact contains SBML and COPASI files but no documented command-line invocation, solver settings, or output destination.
Compute requirements
- GPU
- Not required
- Parallelism
- single
Dependencies
- runtime
- COPASI 4.27
Entry points
COPASI <model.cps>Open and simulate the COPASI model
Artifacts stored with this model.
Identifiers and integrity.
- Source
- MODEL2007090001 · revision 3
- Size
- 1.2 KB
- SHA-256
- Metadata review
- Approved · eb7b6c55-efae-45b9-9369-668c8a4d7346 · Oct 2026
- Contacts
- Rahuman Sheriff · sheriff@ebi.ac.ukmaintainer · EMBL-EBI
- Krishna Tiwari · tiwarik@babraham.ac.ukmaintainer · Babraham Institute
- Rahuman Sheriff · sheriff@ebi.ac.uk
- Related
- Isbiomodels:MODEL2007090001
- Is
- External IDs
- biomodels:MODEL2007090001