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

Robert J Whittaker, Richard Booth, Rosemary Dyson, Clare Bailey, Louise Parsons Chini, Shailesh Naire, Sevil Payvandi, Zimei Rong, Hannah Woollard, Linda J Cummings, Sarah L Waters, Lina Mawasse, Julian B Chaudhuri, Marianne J Ellis, Vipin Michael, Nicola J Kuiper, Sarah Cartmell

    Research output: Contribution to journalArticlepeer-review

    Abstract

    We develop a simple math. model for forced flow of culture medium through a porous scaffold in a tissue-engineering bioreactor. Porous-walled hollow fibers penetrate the scaffold and act as addnl. 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 fibers and inlet and outlet pipes. Compared with a numerical soln. of the full Navier-Stokes equations within the complex scaffold geometry, the modeling 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 addnl. flow from the fibers has on the nutrient and shear-stress distribution. [on SciFinder(R)]
    Original languageEnglish
    Pages (from-to)533-546
    Number of pages14
    JournalJ. Theor. Biol.
    Volume256
    Issue number4
    Publication statusPublished - 2009

    Keywords

    • Animal tissue culture
    • Bioreactors
    • Flow
    • Shear stress
    • Simulation and Modeling
    • Tissue engineering (math. modeling of fiber-enhanced perfusion inside a tissue-engineering bioreactor)
    • Fibers Role: BUU (Biological use, unclassified), BIOL (Biological study), USES (Uses) (math. modeling of fiber-enhanced perfusion inside a tissue-engineering bioreactor)
    • math modeling fiber tissue engineering bioreactor

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