,

,

,

,

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.