Wei2019 - Mathematical modeling of tumor growth The MCF-7 breast cancer cell line

  public model
Model Identifier
MODEL1909090002
Short description
This is a mathematical model describing MCF-7 cancer cell growth with interaction between tumor cells, estradiol (hormone-dependent tumor growth), natural killer cells, cytotoxic T lymphocytes and white blood cells.
Format
SBML (L2V4)
Related Publication
  • Mathematical modeling of tumor growth: The MCF-7 breast cancer cell line
  • Wei, H.C.
  • Mathematical Biosciences and Engineering , 7/ 2019 , Volume 16 , Issue 6 , pages: 6512-6535 , DOI: 10.3934/mbe.2019325
  • Department of Applied Mathematics, Feng Chia University, Seatwen, Taichung, 40724, Taiwan
  • Breast cancer is the second most commonly diagnosed cancer in women worldwide. MCF-7 cell line is an extensively studied human breast cancer cell line. This cell line expresses estrogen receptors, and the growth of MCF-7 cells is hormone dependent. In this study, a mathematical model, which governs MCF-7 cell growth with interaction among tumor cells, estradiol, natural killer (NK) cells, cytotoxic T lymphocytes (CTLs) or CD8+ T cells, and white blood cells (WBCs), is proposed. Experimental data are used to determine functional forms and parameter values. Breast tumor growth is then studied using the mathematical model. The results obtained from numerical simulation are compared with those from clinical and experimental studies. The system has three coexisting stable equilibria representing the tumor free state, a microscopic tumor, and a large tumor. Numerical simulation shows that an immune system is able to eliminate or control a tumor with a restricted initial size. A healthy immune system is able to effectively eliminate a small tumor or produces long-term dormancy. An immune system with WBC count at the low parts of the normal ranges or with temporary low NK cell count is able to eliminate a smaller tumor. The cytotoxicity of CTLs plays an important role in immune surveillance. The association between the circulating estradiol level and cancer risk is not significant.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer

Metadata information

hasProperty (3 statements)
Mathematical Modelling Ontology Ordinary differential equation model
NCIt Neoplastic Growth or Spread
Experimental Factor Ontology MCF-7

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

Connected external resources

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Model files
Wei2019.xml SBML L2V4 Representation of Wei2019 - Mathematical modeling of tumor growth The MCF-7 breast cancer cell line 36.39 KB Preview | Download

Additional files
Wei2019.cps COPASI file of Wei2019 - Mathematical modeling of tumor growth The MCF-7 breast cancer cell line 88.91 KB Preview | Download

  • Model originally submitted by : Johannes Meyer
  • Submitted: Sep 9, 2019 11:29:43 AM
  • Last Modified: Sep 9, 2019 11:29:43 AM
Revisions
  • Version: 2 public model Download this version
    • Submitted on: Sep 9, 2019 11:29:43 AM
    • Submitted by: Johannes Meyer
    • With comment: Edited model metadata online.