Mathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffold

J. V. Pohlmeyer, S. L. Waters, L. J. Cummings

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Motivated by experimental work (Miller et al. in Biomaterials 27(10):2213-2221, 2006, 32(11):2775-2785, 2011) we investigate the effect of growth factor driven haptotaxis and proliferation in a perfusion tissue engineering bioreactor, in which nutrient-rich culture medium is perfused through a 2D porous scaffold impregnated with growth factor and seeded with cells. We model these processes on the timescale of cell proliferation, which typically is of the order of days. While a quantitative representation of these phenomena requires more experimental data than is yet available, qualitative agreement with preliminary experimental studies (Miller et al. in Biomaterials 27(10):2213-2221, 2006) is obtained, and appears promising. The ultimate goal of such modeling is to ascertain initial conditions (growth factor distribution, initial cell seeding, etc.) that will lead to a final desired outcome. © 2013 Society for Mathematical Biology.
Original languageEnglish (US)
Pages (from-to)393-427
Number of pages35
JournalBulletin of Mathematical Biology
Issue number3
StatePublished - Jan 29 2013
Externally publishedYes

Bibliographical note

KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: This work is supported by Award No. KUK-C1-013-04 made by King Abdullah University of Science and Technology (KAUST). The authors wish to thank Dr. Lee Weiss and Dr. Phil Campbell for use of experimental images included in this paper. J.P. would like to thank Drs. Treena Arinzeh, Shahriar Afkami, and Michael Siegel for much useful guidance with development and numerical solution of the model S. L. W. is grateful to the ERSRC for funding in the form of an Advanced Research Fellowship.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.


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