The Mathematical Institute, University of Oxford, Eprints Archive

Mathematical modelling of fibre-enhanced perfusion inside
a tissue-engineering bioreactor

Whittaker, Robert J and Booth, Richard and Dyson, Rosemary and Bailey, Clare and Chini, Louise Parsons and Naire, Shailesh and Payvandi, Sevil and Rong, Zimei and Woollard, Hannah and Cummings, Linda J and Waters, Sarah L and Mawasse, Lina and Chaudhuri, Julian B and Ellis, Marianne J and Michael, Vipin and Kuiper, Nicola J and Cartmell, Sarah (2009) Mathematical modelling of fibre-enhanced perfusion inside
a tissue-engineering bioreactor.
Journal of Theoretical Biology .



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.

Item Type:Article
Subjects:A - C > Biology and other natural sciences
Research Groups:Oxford Centre for Industrial and Applied Mathematics
ID Code:913
Deposited By: Ruth Preston
Deposited On:27 Mar 2010 10:00
Last Modified:29 May 2015 18:36

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