Multiple Steady States in Continuous Culture with Substrate Inhibition

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The dynamic behavior of a chemostat can be described with the following system of ordinary differential equations:
,
where
is the dilution rate in
,
is the biomass concentration in g/l,
is the substrate concentration in g/l,
is the feed substrate concentration,
is the yield, and
is the specific growth rate (where
is the half-saturation constant,
is the inhibition constant, and
is the maximum value of the specific growth rate, with
here).
Contributed by: Housam Binous (March 2011)
Open content licensed under CC BY-NC-SA
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I. J. Dunn, E. Heinzle, J. Ingham, and J. E. Prenosil, Biological Reaction Engineering: Dynamic Modelling Fundamentals with Simulation Examples, 2nd ed., Weinheim: Wiley-VCH, 2003.
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