Cyclic Loading of Growing Tissue in a Bioreactor: Mathematical Model and Asymptotic Analysis

Handle URI:
http://hdl.handle.net/10754/597916
Title:
Cyclic Loading of Growing Tissue in a Bioreactor: Mathematical Model and Asymptotic Analysis
Authors:
Pohlmeyer, J. V.; Cummings, L. J.
Abstract:
A simplified 2D mathematical model for tissue growth within a cyclically-loaded tissue engineering scaffold is presented and analyzed. Such cyclic loading has the potential to improve yield and functionality of tissue such as bone and cartilage when grown on a scaffold within a perfusion bioreactor. The cyclic compression affects the flow of the perfused nutrient, leading to flow properties that are inherently unsteady, though periodic, on a timescale short compared with that of tissue proliferation. A two-timescale analysis based on these well-separated timescales is exploited to derive a closed model for the tissue growth on the long timescale of proliferation. Some sample numerical results are given for the final model, and discussed. © 2013 Society for Mathematical Biology.
Citation:
Pohlmeyer JV, Cummings LJ (2013) Cyclic Loading of Growing Tissue in a Bioreactor: Mathematical Model and Asymptotic Analysis. Bull Math Biol 75: 2450–2473. Available: http://dx.doi.org/10.1007/s11538-013-9902-x.
Publisher:
Springer Science + Business Media
Journal:
Bulletin of Mathematical Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
24-Oct-2013
DOI:
10.1007/s11538-013-9902-x
PubMed ID:
24154964
Type:
Article
ISSN:
0092-8240; 1522-9602
Sponsors:
Both authors acknowledge partial financial support from KAUST under Award No. KUK-C1-013-04 in the form of OCCAM Visiting Fellowships. We thank Drs Treena Arinzeh, Shahriar Afkhami, Michael Siegel (NJIT), and Sarah Waters (Oxford) for useful guidance with the development and numerical solution of the model.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorPohlmeyer, J. V.en
dc.contributor.authorCummings, L. J.en
dc.date.accessioned2016-02-25T12:58:50Zen
dc.date.available2016-02-25T12:58:50Zen
dc.date.issued2013-10-24en
dc.identifier.citationPohlmeyer JV, Cummings LJ (2013) Cyclic Loading of Growing Tissue in a Bioreactor: Mathematical Model and Asymptotic Analysis. Bull Math Biol 75: 2450–2473. Available: http://dx.doi.org/10.1007/s11538-013-9902-x.en
dc.identifier.issn0092-8240en
dc.identifier.issn1522-9602en
dc.identifier.pmid24154964en
dc.identifier.doi10.1007/s11538-013-9902-xen
dc.identifier.urihttp://hdl.handle.net/10754/597916en
dc.description.abstractA simplified 2D mathematical model for tissue growth within a cyclically-loaded tissue engineering scaffold is presented and analyzed. Such cyclic loading has the potential to improve yield and functionality of tissue such as bone and cartilage when grown on a scaffold within a perfusion bioreactor. The cyclic compression affects the flow of the perfused nutrient, leading to flow properties that are inherently unsteady, though periodic, on a timescale short compared with that of tissue proliferation. A two-timescale analysis based on these well-separated timescales is exploited to derive a closed model for the tissue growth on the long timescale of proliferation. Some sample numerical results are given for the final model, and discussed. © 2013 Society for Mathematical Biology.en
dc.description.sponsorshipBoth authors acknowledge partial financial support from KAUST under Award No. KUK-C1-013-04 in the form of OCCAM Visiting Fellowships. We thank Drs Treena Arinzeh, Shahriar Afkhami, Michael Siegel (NJIT), and Sarah Waters (Oxford) for useful guidance with the development and numerical solution of the model.en
dc.publisherSpringer Science + Business Mediaen
dc.subjectMathematical modelen
dc.subjectTissue engineeringen
dc.titleCyclic Loading of Growing Tissue in a Bioreactor: Mathematical Model and Asymptotic Analysisen
dc.typeArticleen
dc.identifier.journalBulletin of Mathematical Biologyen
dc.contributor.institutionNew Jersey Institute of Technology, Newark, United Statesen
kaust.grant.numberKUK-C1-013-04en
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