Enzymatic Reactor with Product Inhibition

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A reaction, , catalyzed by an enzyme, , takes place in a constant-volume well-mixed reactor, as can be seen from the set-up figure. The governing equations are:






where and .

, , are the exit flow rate and the enzyme and substrate inlet flow rates, respectively; is the reactor volume. and are the inlet concentration of substrate and enzyme, respectively; , and are the substrate, enzyme, and product concentrations in the reactor, respectively; and finally, is the saturation constant, is the product inhibition constant, and is a rate constant.

This Demonstration presents the dynamic behavior of this enzymatic reactor with product inhibition. The plotted curves correspond to the substrate, product, and enzyme concentrations versus time.


Contributed by: Housam Binous (March 2011)
Open content licensed under CC BY-NC-SA



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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