A kinetic model for amperometric immobilized enzymes at planar, cylindrical and spherical electrodes: The Akbari-Ganji method

摘要

Diffusion and kinetics of amperometric immobilized enzymes on the planar, cylindrical and spherical electrodes are discussed. This model is described as a set of non-linear reaction-diffusion equations consisting of a non-linear term related to Michaelis-Menten kinetics and enzyme-catalyzed reactions. In this paper, we obtain approximately the general analytical solutions for the non-linear equations that describe diffusion-limited reaction within the film by employing the Akbari-Ganji Method (AGM). The obtained analytical results for the concentration of substrate, mediator and current are compared with the available limiting case results and numerical results and found to be in satisfactory agreement. The dependence of the amperometric response on substrate and mediator concentration, enzyme concentration, electrode potential, film thickness and geometry of the electrode is analyzed.