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

Handle URI:
http://hdl.handle.net/10754/598768
Title:
Mathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffold
Authors:
Pohlmeyer, J. V.; Waters, S. L.; Cummings, L. J.
Abstract:
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.
Citation:
Pohlmeyer JV, Waters SL, Cummings LJ (2013) Mathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffold. Bull Math Biol 75: 393–427. Available: http://dx.doi.org/10.1007/s11538-013-9810-0.
Publisher:
Springer Nature
Journal:
Bulletin of Mathematical Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
29-Jan-2013
DOI:
10.1007/s11538-013-9810-0
PubMed ID:
23358798
Type:
Article
ISSN:
0092-8240; 1522-9602
Sponsors:
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.
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Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorPohlmeyer, J. V.en
dc.contributor.authorWaters, S. L.en
dc.contributor.authorCummings, L. J.en
dc.date.accessioned2016-02-25T13:40:50Zen
dc.date.available2016-02-25T13:40:50Zen
dc.date.issued2013-01-29en
dc.identifier.citationPohlmeyer JV, Waters SL, Cummings LJ (2013) Mathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffold. Bull Math Biol 75: 393–427. Available: http://dx.doi.org/10.1007/s11538-013-9810-0.en
dc.identifier.issn0092-8240en
dc.identifier.issn1522-9602en
dc.identifier.pmid23358798en
dc.identifier.doi10.1007/s11538-013-9810-0en
dc.identifier.urihttp://hdl.handle.net/10754/598768en
dc.description.abstractMotivated 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.en
dc.description.sponsorshipThis 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.en
dc.publisherSpringer Natureen
dc.subjectHaptotaxis tissue engineeringen
dc.subjectPerfusion based bioreactoren
dc.titleMathematical Model of Growth Factor Driven Haptotaxis and Proliferation in a Tissue Engineering Scaffolden
dc.typeArticleen
dc.identifier.journalBulletin of Mathematical Biologyen
dc.contributor.institutionNew Jersey Institute of Technology, Newark, United Statesen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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