A mathematical model quantifies proliferation and motility effects of TGF-β on cancer cells

Shizhen Emily Wang, Peter Hinow, Nicole Bryce, Alissa M. Weaver, Lourdes Estrada, Carlos L. Arteaga, Glenn F. Webb

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

Transforming growth factor (TGF)-beta; is known to have properties of both a tumour suppressor and a tumour promoter. While it inhibits cell proliferation, it also increases cell motility and decreases cell-cell adhesion. Coupling mathematical modelling and experiments, we investigate the growth and motility of oncogene-expressing human mammary epithelial cells under exposure to TGF-beta;. We use a version of the well-known Fisher-Kolmogorov equation, and prescribe a procedure for its parametrisation. We quantify the simultaneous effects of TGF-beta; to increase the tendency of individual cells and cell clusters to move randomly and to decrease overall population growth. We demonstrate that in experiments with TGF-beta; treated cells in vitro, TGF-beta; increases cell motility by a factor of 2 and decreases cell proliferation by a factor of 1/2 in comparison with untreated cells.

Original languageEnglish (US)
Pages (from-to)71-83
Number of pages13
JournalComputational and Mathematical Methods in Medicine
Volume10
Issue number1
DOIs
StatePublished - Mar 18 2009

Fingerprint

Motility
Growth Factors
Transforming Growth Factors
Proliferation
Transforming Growth Factor beta
Cancer
Quantify
Theoretical Models
Cells
Mathematical Model
Mathematical models
Cell
Cell Motility
Cell proliferation
Neoplasms
Cell Proliferation
Cell Movement
Tumors
Decrease
Tumor

Keywords

  • Cell growth and motility
  • Fisher-Kolmogorov equation
  • Mathematical model
  • Transforming growth factor (TGF)-beta;

ASJC Scopus subject areas

  • Applied Mathematics
  • Modeling and Simulation
  • Biochemistry, Genetics and Molecular Biology(all)
  • Medicine(all)
  • Immunology and Microbiology(all)

Cite this

A mathematical model quantifies proliferation and motility effects of TGF-β on cancer cells. / Wang, Shizhen Emily; Hinow, Peter; Bryce, Nicole; Weaver, Alissa M.; Estrada, Lourdes; Arteaga, Carlos L.; Webb, Glenn F.

In: Computational and Mathematical Methods in Medicine, Vol. 10, No. 1, 18.03.2009, p. 71-83.

Research output: Contribution to journalArticle

Wang, Shizhen Emily ; Hinow, Peter ; Bryce, Nicole ; Weaver, Alissa M. ; Estrada, Lourdes ; Arteaga, Carlos L. ; Webb, Glenn F. / A mathematical model quantifies proliferation and motility effects of TGF-β on cancer cells. In: Computational and Mathematical Methods in Medicine. 2009 ; Vol. 10, No. 1. pp. 71-83.
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