TY - JOUR
T1 - Cyclic Loading of Growing Tissue in a Bioreactor: Mathematical Model and Asymptotic Analysis
AU - Pohlmeyer, J. V.
AU - Cummings, L. J.
N1 - KAUST Repository Item: Exported on 2020-10-01
Acknowledged KAUST grant number(s): KUK-C1-013-04
Acknowledgements: 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.
This publication acknowledges KAUST support, but has no KAUST affiliated authors.
PY - 2013/10/24
Y1 - 2013/10/24
N2 - 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.
AB - 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.
UR - http://hdl.handle.net/10754/597916
UR - http://link.springer.com/10.1007/s11538-013-9902-x
UR - http://www.scopus.com/inward/record.url?scp=84887622766&partnerID=8YFLogxK
U2 - 10.1007/s11538-013-9902-x
DO - 10.1007/s11538-013-9902-x
M3 - Article
C2 - 24154964
SN - 0092-8240
VL - 75
SP - 2450
EP - 2473
JO - Bulletin of Mathematical Biology
JF - Bulletin of Mathematical Biology
IS - 12
ER -