title: Fluid and mass transport modelling to drive the design of cell-packed hollow fibre bioreactors for tissue engineering applications.
abstract: 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.
authors.affiliation: Oxford Centre for Industrial and Applied Mathematics, Mathematical Institute, 24-29 St Giles, Oxford OX1 3LB, UK. shipley@maths.ox.ac.uk
authors.forename: Rebecca J
authors.initials: RJ
authors.lastname: Shipley
authors.forename: Sarah L
authors.initials: SL
authors.lastname: Waters
mesh_terms: D000464:Alginates; D019149:Bioreactors / Q000706:statistics & numerical data; D002478:Cells, Cultured; D004867:Equipment Design; D005947:Glucose / Q000378:metabolism; D020723:Glucuronic Acid; D006603:Hexuronic Acids; D006801:Humans; D057446:Hydrodynamics; D007700:Kinetics; D019344:Lactic Acid / Q000378:metabolism; D055641:Mathematical Concepts; D008954:Models, Biological; D010101:Oxygen Consumption; D012212:Rheology; D023822:Tissue Engineering / Q000295:instrumentation* / Q000706:statistics & numerical data
chemical_list: D000464:Alginates; D006603:Hexuronic Acids; D019344:Lactic Acid; D020723:Glucuronic Acid; D005947:Glucose