(1) School of Mathematics and Applied Statistics, The University of Wollongong, Wollongong, NSW, 2522, Australia;(2) School of Physical, Environmental and Mathematical Science, UNSW at ADFA, Canberra, ACT, 2600, Australia
Abstract:
We investigate a chemostat model in which the growth rate is given by a Tessier expression with a variable yield coefficient.
We combine analytical results with path-following methods. The washout conditions are found. When washout does not occur we
establish the conditions under which the reactor performance and reactor productivity are maximised. We also determine the
parameter region in which oscillations may be generated in the reactor. We briefly discuss the implications of our results
for comparing the performance of a single bioreactor against a cascade of two bioreactors.