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

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dc.creatorWang, Shizhen Emily
dc.creatorHinow, Peter
dc.creatorBryce, Nicole
dc.creatorWeaver, Alissa M.
dc.creatorEstrada, Lourdes
dc.creatorArteaga, Carlos L.
dc.creatorWebb, Glenn F.
dc.date2007-10-30
dc.date2008-05-01
dc.date.accessioned2026-07-07T12:56:36Z
dc.date.available2026-07-07T12:56:36Z
dc.descriptionTransforming growth factor (TGF) $β$ is known to have properties of both a tumor suppressor and a tumor promoter. While it inhibits cell proliferation, it also increases cell motility and decreases cell--cell adhesion. Coupling mathematical modeling 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 parametrization. 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 \textit{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.
dc.description15 pages, 4 figures; to appear in Computational and Mathematical Methods in Medicine
dc.identifierhttps://arxiv.org/abs/0710.5665
dc.identifierhttp://arxiv.org/abs/0710.5665
dc.identifierComput. Math. Methods Med. 10:71-83, 2009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224637
dc.subjectQuantitative Methods
dc.titleA mathematical model quantifies proliferation and motility effects of TGF--$β$ on cancer cells
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