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Computational and Mathematical Methods in Medicine
An Interdisciplinary Journal of Mathematical, Theoretical and Clinical Aspects of Medicine
Volume 10, 2009 - Issue 1
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Original Articles

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

, , , , , & show all
Pages 71-83 | Received 03 Mar 2008, Accepted 29 Apr 2008, Published online: 03 Mar 2009
 

Abstract

Transforming growth factor (TGF)-β 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-β. 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-β 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-β treated cells in vitro, TGF-β increases cell motility by a factor of 2 and decreases cell proliferation by a factor of 1/2 in comparison with untreated cells.

AMS Subject Classification:

Acknowledgement

This work was supported by the NCI Integrative Cancer Biology Program (U54 CA113007), K22 CA109590 (AMW), K99 CA125892 (SEW), R01 CA80195 (CLA), R01 CA62212 (CLA), Breast Cancer Specialised Program of Research Excellence (SPORE) P50 CA98131, and the Vanderbilt Integrative Cancer Biology Centre (VICBC). The authors thank Dr Vito Quaranta for support.

Notes

1. These authors contributed equally to this study.

Additional information

Notes on contributors

Shizhen Emily Wang

1. 1. These authors contributed equally to this study.

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