Pr. Patnaik, THE EFFECT OF MACROMIXING ON OSCILLATORY BEHAVIOR IN RECOMBINANT FERMENTATION IN A CONTINUOUS STIRRED-TANK REACTOR, Chemical engineering communications, 125, 1993, pp. 155-169
A general model is presented for recombinant fermentation in a chemost
at in which micromixing may be imperfect. Using the production of tryp
tophan synthetase as an example and the dilution rate, D, as the bifur
cation parameter, conditions are first derived for Hopf bifurcation in
a perfectly mixed chemostat. The bifurcation surfaces in three-dimens
ional space are such that oscillatory solutions exist above the surfac
es and washout conditions below. A similar analysis is done for imperf
ect mixing. The bifurcation region is a concave hyperboloid in the [D,
f, n]-space, where f and n are model parameters. It is argued that po
or macromixing reduces the range of D over which bifurcation to period
ic solutions is possible.