id: 06115892
dt: j
an: 06115892
au: Shipley, Rebecca J.; Waters, Sarah L.
ti: Fluid and mass transport modelling to drive the design of cell-packed
    hollow fibre bioreactors for tissue engineering applications.
so: Math. Med. Biol. 29, No. 4, 329-359 (2012).
py: 2012
pu: The Institute of Mathematics and its Applications, Southend-on-Sea, Essex;
    Oxford University Press, Oxford
la: EN
cc: 
ut: operating equations; oxygen; lactate
ci: 
li: doi:10.1093/imammb/dqr025
ab: Summary: 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.
rv: