Anderson2015 - Qualitative behavior of systems of tumor-CD4+-cytokine interactions with treatments

  public model
Model Identifier
BIOMD0000000813
Short description 
This is a mathematical model describing tumor-CD4+-cytokine interactions, with specific emphasis on the role that CD4+ T lymphocytes play in tumor regression.
Format
SBML (L2V4)
Related Publication
  • Qualitative behavior of systems of tumor-CD4+-cytokine interactions with treatments
  • Anderson, L., Jang, S., Yu, J.-L.
  • Mathematical Methods in the Applied Sciences , 11/ 2015 , Volume 38 , Issue 17 , pages: 4330-4344 , DOI: 10.1002/mma.3370
  • Department of Mathematics and Statistics, Texas Tech University, Lubbock, TX 79409-1042, United States
  • Immunotherapies are important methods for controlling and curing malignant tumors. Based on recent observations that many tumors have been immuno-selected to evade recognition by the traditional cytotoxic T lymphocytes, we propose mathematical models of tumor-CD4+-cytokine interactions to investigate the role of CD4+ on tumor regression. Treatments of either CD4+ or cytokine are applied to study their effectiveness. It is found that doses of treatments are critical in determining the fate of the tumor, and tumor cells can be eliminated completely if doses of cytokine are large. Bistability is observed in models with either of the treatment strategies, which signifies that a careful planning of the treatment strategy is necessary for achieving a satisfactory outcome.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer

Metadata information

is (2 statements)
BioModels Database MODEL1909170001
BioModels Database BIOMD0000000813

hasProperty (3 statements)
Mathematical Modelling Ontology Ordinary differential equation model
Taxonomy Homo sapiens
NCIt Cytokine Therapy

isDescribedBy (1 statement)
Curation status
Curated
Modelling approach(es)
ordinary differential equation model
Tags
Immuno-oncology

Connected external resources

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Model files
Anderson2015.xml SBML L2V4 Representation of Anderson2015 - Qualitative behavior of systems of tumor-CD4+-cytokine interactions with treatments 33.21 KB Preview | Download

Additional files
Anderson2015.cps COPASI file of Anderson2015 - Qualitative behavior of systems of tumor-CD4+-cytokine interactions with treatments 63.64 KB Preview | Download
Anderson2015.sedml SED-ML file of Anderson2015 - Qualitative behavior of systems of tumor-CD4+-cytokine interactions with treatments 2.50 KB Preview | Download

  • Model originally submitted by : Johannes Meyer
  • Submitted: Sep 17, 2019 10:54:37 AM
  • Last Modified: Sep 17, 2019 10:54:37 AM
Revisions
  • Version: 2 public model Download this version
    • Submitted on: Sep 17, 2019 10:54:37 AM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000813
Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
y CD4 T Cells

CD4-positive helper T cell 		0.01 item
z Cytokine

Cytokine 		0.0 item
x Tumor Cells

neoplastic cell 		0.5 item
Reactions
Reactions Rate Parameters
=> y_CD4_T_Cells compartment*I_1 I_1 = 10.0
y_CD4_T_Cells => compartment*a*y_CD4_T_Cells a = 0.02
z_Cytokine => compartment*mu*z_Cytokine mu = 47.0
x_Tumor_Cells => ; z_Cytokine compartment*delta*x_Tumor_Cells*z_Cytokine/(m+x_Tumor_Cells) m = 1.0; delta = 0.1
=> y_CD4_T_Cells; x_Tumor_Cells compartment*beta*x_Tumor_Cells*y_CD4_T_Cells/(k+x_Tumor_Cells) beta = 0.02; k = 10.0
=> z_Cytokine compartment*I_2 I_2 = 0.0
=> x_Tumor_Cells compartment*r*x_Tumor_Cells*(1-x_Tumor_Cells/K) K = 1000.0; r = 0.03
=> z_Cytokine; x_Tumor_Cells, y_CD4_T_Cells compartment*alpha*x_Tumor_Cells*y_CD4_T_Cells/(b+x_Tumor_Cells) b = 0.1; alpha = 0.1
Curator's comment:
(added: 17 Sep 2019, 10:54:27, updated: 17 Sep 2019, 10:54:27)
Reproduced plots of Figure 2A in the original publication. Variable values used are as follows: r = 0.03 a = 0.02 mu = 47 All other values are as indicated in the paper. Model simulated and plot produced using COPASI 4.24 (Build 197).