# 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).

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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.