Vk. Jayaraman, SOLUTION OF HOLLOW-FIBER BIOREACTOR DESIGN EQUATIONS FOR ZERO-ORDER LIMIT OF MICHAELIS-MENTEN KINETICS, Chemical engineering journal and the biochemical engineering journal, 51(3), 1993, pp. 63-66
The mass balance equations for hollow fibre bioreactors have been solv
ed for the zero-order limit of the Michaelis-Menten kinetics. As in th
e case of first-order reactions, the membrane and spongy matrix equati
ons can be decoupled from the overall set of equations. For the case o
f the substrate remaining constant everywhere in the reactor a solutio
n in terms of hypergeometric series is possible. For the substrate exh
austion case the extinction radius is a non-linear function of the sys
tem parameters and thus the equations have to be solved by numerical m
ethods.