The reaction of immobilized enzyme in spherical porous support coupled with intraparticle and external mass transfer were studied in a batch reactor. An exact solution for the case of the first order reaction was presented. The orthogonal collocation method was used to simulate the complex systems. The catalytic reaction (the Michaelis - Menten equation as example)

enzyme inactivation rate and the intraparticle and external mass transfer resistance of the substrate were taken into account to research the distribution of the substrate concentration in porous support

the changes of the bulk concentration and conversion with time.