Journal Article

Fluid and mass transport modelling to drive the design of cell-packed hollow fibre bioreactors for tissue engineering applications

Rebecca J. Shipley and Sarah L. Waters

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 29, issue 4, pages 329-359
Published in print December 2012 | ISSN: 1477-8599
Published online November 2011 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/dqr025
Fluid and mass transport modelling to drive the design of cell-packed hollow fibre bioreactors for tissue engineering applications

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A model for fluid and mass transport in a single module of a tissue engineering hollow fibre bioreactor (HFB) is developed. Cells are seeded in alginate throughout the extra-capillary space (ECS), and fluid is pumped through a central lumen to feed the cells and remove waste products. Fluid transport is described using Navier–Stokes or Darcy equations as appropriate; this is overlaid with models of mass transport in the form of advection–diffusion–reaction equations that describe the distribution and uptake/production of nutrients/waste products. The small aspect ratio of a module is exploited and the option of opening an ECS port is explored. By proceeding analytically, operating equations are determined that enable a tissue engineer to prescribe the geometry and operation of the HFB by ensuring the nutrient and waste product concentrations are consistent with a functional cell population. Finally, results for chondrocyte and cardiomyocyte cell populations are presented, typifying two extremes of oxygen uptake rates.

Keywords: operating equations; oxygen; lactate

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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