A mathematical model was developed to predict oxygen transport in a hollow
fiber bioartificial liver device. Model parameters were taken from the Hepa
tix ELAD configuration; a blood perfused hollow fiber cartridge with hepato
cytes seeded in the extracapillary space. Cellular oxygen uptake is based o
n Michaelis-Menten kinetics, and nonlinear oxygen transport in the blood is
considered. The effect of modulating three important parameters is investi
gated, namely, the Michaelis-Menten constants V-m (volumetric oxygen consum
ption of the hepatocytes) and K-m (half-saturation constant), and hollow fi
ber oxygen permeability. A computer implementation of the model is used to
assess whether a given cell mass could be maintained within such a device.
The results suggest that liver cell lines possessing low rates of oxygen co
nsumption could be maintained if membranes of sufficiently high oxygen perm
eability are used. For primary hepatocytes, which have much higher oxygen d
emands, radial transport of oxygen is rate limiting, and the axial-flow hol
low fiber cartridge is thus an inappropriate design fur use as a bioartific
ial liver with primary hepatocytes.