Sotolongo-Costa2003 - Behavior of tumors under nonstationary therapy
Model Identifier
BIOMD0000000785
Short description
This model describes the interaction dynamics of a lymphocyte-tumor cell population.
Format
SBML
(L2V4)
Related Publication
-
Behavior of tumors under nonstationary therapy
- Sotolongo-Costa, O., Molina, L.M., Reyes, M.C., Perez, D.R., Antoranz, J.C.
- Physica D: Nonlinear Phenomena , 4/ 2003 , Volume 178 , Issue 3-4 , pages: 242-253 , DOI: 10.1016/S0167-2789(03)00005-8
- Department of Theoretical Physics, Havana University, 10400 Havana, Cuba
- We present a model for the interaction dynamics of lymphocytes-tumor cells population. This model reproduces all known states for the tumor. Further, we develop it taking into account periodical immunotherapy treatment with cytokines alone. A detailed analysis for the evolution of tumor cells as a function of frequency and therapy burden applied for the periodical treatment is carried out. Certain threshold values for the frequency and applied doses are derived from this analysis. So it seems possible to control and reduce the growth of the tumor. Also, constant values for cytokines doses seems to be a successful treatment.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer
Metadata information
is (2 statements)
hasProperty (2 statements)
isDescribedBy (1 statement)
hasProperty (2 statements)
Mathematical Modelling Ontology
Ordinary differential equation model
Gene Ontology T cell mediated immune response to tumor cell
Gene Ontology T cell mediated immune response to tumor cell
isDescribedBy (1 statement)
Curation status
Curated
Modelling approach(es)
Tags
Connected external resources
SBGN view in Newt Editor
| Name | Description | Size | Actions |
|---|---|---|---|
Model files |
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| Sotolongo-Costa2003.xml | SBML L2V4 Representation of Sotolongo-Costa2003 - Behavior of tumors under nonstationary therapy | 25.07 KB | Preview | Download |
Additional files |
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| Sotolongo-Costa2003.cps | COPASI file of Sotolongo-Costa2003 - Behavior of tumors under nonstationary therapy | 54.26 KB | Preview | Download |
| Sotolongo-Costa2003.sedml | SED-ML file of Sotolongo-Costa2003 - Behavior of tumors under nonstationary therapy | 1.82 KB | Preview | Download |
- Model originally submitted by : Johannes Meyer
- Submitted: Aug 9, 2019 4:04:14 PM
- Last Modified: Aug 9, 2019 4:04:14 PM
Revisions
-
Version: 2
- Submitted on: Aug 9, 2019 4:04:14 PM
- Submitted by: Johannes Meyer
- With comment: Automatically added model identifier BIOMD0000000785
Legends
: Variable used inside SBML models
: Variable used inside SBML models
Species
| Species | Initial Concentration/Amount |
|---|---|
| y Lymphocytes lymphocyte |
6.7 mmol |
| x Malignant Cells neoplastic cell |
5.3 mmol |
Reactions
| Reactions | Rate | Parameters |
|---|---|---|
| y_Lymphocytes => ; x_Malignant_Cells | compartment*k*x_Malignant_Cells | k = 0.2 |
| x_Malignant_Cells => y_Lymphocytes | compartment*x_Malignant_Cells*y_Lymphocytes | [] |
| y_Lymphocytes => | compartment*y_Lymphocytes/alpha | alpha = 2.0 |
| => x_Malignant_Cells | compartment*alpha*x_Malignant_Cells | alpha = 2.0 |
| => y_Lymphocytes | compartment*sigma | sigma = 0.25 |
Curator's comment:
(added: 09 Aug 2019, 16:03:48, updated: 09 Aug 2019, 16:03:48)
(added: 09 Aug 2019, 16:03:48, updated: 09 Aug 2019, 16:03:48)
Reproduced plot of Figure 3B in the original publication. Equations 12 and 13 were used. Parameters and initial conditions are as indicated in the caption for Figure 3B.
Model simulated and plot produced using COPASI 4.24 (Build 197).