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.
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.