Influences of nonuniform activity distributions on the apparent maximum reaction rate and apparent Michaelis constant of immobilized enzyme reactions

The influences of nonuniform activity distribution within a porous solid support on the apparent kinetic parameters, V_m^app and K_m^app, of immobilized enzyme reactions following the Michaelis-Menten kinetics were theoretically investigated. As the enzyme is distributed to the neighborhood of the external surface of the support, V_m^app and K_m^app approach their respective intrinsic values over a wide range of substrate concentration. There is a close relationship between the nonuniform distribution and internal diffusional resistance. Changes in these two factors provide similar effects on V_m^app and K_m^app. As long as the immobilized enzyme reaction follows Michaelis-Menten kinetics, the nonuniform activity distribution never makes K_m^app less than its intrinsic value.