Wei2017 - tumor, T cell and cytokine interaction

  public model
Model Identifier
BIOMD0000000778
Short description
The paper describes a model of tumor-immune interaction. Created by COPASI 4.25 (Build 207) This model is described in the article: Periodically Pulsed Immunotherapy in a Mathematical Model of Tumor, CD4+ T Cells, and Antitumor Cytokine Interactions Hsiu-Chuan Wei, Jui-Ling Yu, Chia-Yu Hsu Computational and Mathematical Methods in Medicine Volume 2017, Article ID 2906282, 12 pages Abstract: Immunotherapy is one of the most recent approaches for controlling and curing malignant tumors. In this paper, we consider a mathematical model of periodically pulsed immunotherapy using CD4+ T cells and an antitumor cytokine. Mathematical analyses are performed to determine the threshold of a successful treatment. The interindividual variability is explored by one-, two-, and three-parameter bifurcation diagrams for a nontreatment case. Numerical simulation conducted in this paper shows that (i) the tumor can be regulated by administering CD4+ T cells alone in a patient with a strong immune system or who has been diagnosed at an early stage, (ii) immunotherapy with a large amount of an antitumor cytokine can boost the immune system to remit or even to suppress tumor cells completely, and (iii) through polytherapy the tumor can be kept at a smaller size with reduced dosages. To cite BioModels Database, please use: BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models . To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information.
Format
SBML (L3V1)
Related Publication
  • Periodically Pulsed Immunotherapy in a Mathematical Model of Tumor, CD4+ T Cells, and Antitumor Cytokine Interactions.
  • Wei HC, Yu JL, Hsu CY
  • Computational and mathematical methods in medicine , 1/ 2017 , Volume 2017 , pages: 2906282 , PubMed ID: 29250133
  • Department of Applied Mathematics, Feng Chia University, Seatwen, Taichung 40724, Taiwan.
  • Immunotherapy is one of the most recent approaches for controlling and curing malignant tumors. In this paper, we consider a mathematical model of periodically pulsed immunotherapy using CD4+ T cells and an antitumor cytokine. Mathematical analyses are performed to determine the threshold of a successful treatment. The interindividual variability is explored by one-, two-, and three-parameter bifurcation diagrams for a nontreatment case. Numerical simulation conducted in this paper shows that (i) the tumor can be regulated by administering CD4+ T cells alone in a patient with a strong immune system or who has been diagnosed at an early stage, (ii) immunotherapy with a large amount of an antitumor cytokine can boost the immune system to remit or even to suppress tumor cells completely, and (iii) through polytherapy the tumor can be kept at a smaller size with reduced dosages.
Contributors
Submitter of the first revision: Jinghao Men
Submitter of this revision: Jinghao Men
Modellers: Jinghao Men

Metadata information

is (2 statements)
BioModels Database MODEL1908050001
BioModels Database BIOMD0000000778

isDescribedBy (1 statement)
PubMed 29250133

hasTaxon (1 statement)
Taxonomy Homo sapiens

hasProperty (2 statements)
Mathematical Modelling Ontology Ordinary differential equation model
Gene Ontology immune response to tumor cell


Curation status
Curated



Connected external resources

SBGN view in Newt Editor

Name Description Size Actions

Model files

Wei2017.xml SBML L2V4 representation of cancer-immune interaction model 58.97 KB Preview | Download

Additional files

Wei2017.cps CPS file of the model in COPASI 71.46 KB Preview | Download
Wei2017.sedml Auto-generated SEDML file 2.23 KB Preview | Download

  • Model originally submitted by : Jinghao Men
  • Submitted: Aug 5, 2019 11:35:41 AM
  • Last Modified: Aug 5, 2019 11:35:41 AM
Revisions
  • Version: 3 public model Download this version
    • Submitted on: Aug 5, 2019 11:35:41 AM
    • Submitted by: Jinghao Men
    • With comment: Automatically added model identifier BIOMD0000000778
Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
C

Cytokine
0.0 mmol
T

malignant cell
0.5 mmol
I

CD4-positive helper T cell
0.01 mmol
Reactions
Reactions Rate Parameters
=> C; T, I tme*alpha*T*I/(b+T) b = 100.0 1; alpha = 0.01 1/d
=> T tme*r*T*(1-T/K) r = 0.01 1/d; K = 1000.0 1
=> I tme*l1 l1 = 0.0 1/d
C => tme*u*C u = 50.0 1/d
=> I; T tme*beta*T*I/(k+T) k = 1000.0 1; beta = 0.1 1/d
T => ; C tme*d*T*C/(m+T) d = 0.1 1/d; m = 50.0 1
=> C tme*l2 l2 = 0.0 1/d
I => tme*a*I a = 0.03 1/d
Curator's comment:
(added: 05 Aug 2019, 11:35:34, updated: 05 Aug 2019, 11:35:34)
Publication figure 3 reproduced as per literature. Figure data is generated using COPASI 4.25 (build 197).