Author/Authors :
Whittaker، نويسنده , , Robert J. and Booth، نويسنده , , Richard and Dyson، نويسنده , , Rosemary and Bailey، نويسنده , , Clare and Parsons Chini، نويسنده , , Louise and Naire، نويسنده , , Shailesh and Payvandi، نويسنده , , Sevil and Rong، نويسنده , , Zimei and Woollard، نويسنده , , Hannah and Cummings، نويسنده , , Linda J. and Waters، نويسنده , , Sarah L. and Mawasse، نويسنده , , Lina and Chaudhuri، نويسنده , , Julian B. and Ellis، نويسنده , , Marianne J. and Michael، نويسنده , , Vipin and Kuiper، نويسنده , , Nicola J. and Cartmell، نويسنده , , Sarah، نويسنده ,
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 Darcyʹs 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.
Keywords :
Tissue engineering , Bioreactor , Darcy flow , mathematical modelling
