Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor
Document Type
Article
Publication Date
2-21-2009
Abstract
We develop a simple mathematical model for forced flow of culture medium through a porous scaffold in a tissue-engineering bioreactor. Porous-walled hollow fibres penetrate the scaffold and act as additional sources of culture medium. The model, based on Darcy's law, is used to examine the nutrient and shear-stress distributions throughout the scaffold. We consider several configurations of fibres and inlet and outlet pipes. Compared with a numerical solution of the full Navier-Stokes equations within the complex scaffold geometry, the modelling approach is cheap, and does not require knowledge of the detailed microstructure of the particular scaffold being used. The potential of this approach is demonstrated through quantification of the effect the additional flow from the fibres has on the nutrient and shear-stress distribution. © 2008 Elsevier Ltd. All rights reserved.
Identifier
58749086882 (Scopus)
Publication Title
Journal of Theoretical Biology
External Full Text Location
https://doi.org/10.1016/j.jtbi.2008.10.013
e-ISSN
10958541
ISSN
00225193
PubMed ID
19014952
First Page
533
Last Page
546
Issue
4
Volume
256
Grant
EP/D070635/2
Fund Ref
Engineering and Physical Sciences Research Council
Recommended Citation
Whittaker, Robert J.; Booth, Richard; Dyson, Rosemary; Bailey, Clare; Parsons Chini, Louise; Naire, Shailesh; Payvandi, Sevil; Rong, Zimei; Woollard, Hannah; Cummings, Linda J.; Waters, Sarah L.; Mawasse, Lina; Chaudhuri, Julian B.; Ellis, Marianne J.; Michael, Vipin; Kuiper, Nicola J.; and Cartmell, Sarah, "Mathematical modelling of fibre-enhanced perfusion inside a tissue-engineering bioreactor" (2009). Faculty Publications. 12152.
https://digitalcommons.njit.edu/fac_pubs/12152
