Theoretical analysis of amperometric response towards PPO-based rotating disk bioelectrodes: Taylors series and hyperbolic function method

A mathematical model for the electroenzymatic process of a rotating disk electrode in which polyphenol oxidase occurs is discussed. The model is related to a system of reaction-diffusion equations that includes a nonlinear factor relating to the enzymatic reaction's Michaelis-Menten kinetics. The approximate analytical techniques (Taylor's series and Hyperbolic function) are used to solve the nonlinear differential equations describing the diffusion-coupled enzymatic reactions. For all parameter values E(= L2) and 1( S ). Closed analytical equa-tions for the concentration of the substrate, the concentration of the product, and the related current response have been obtained. These analytical results are in good agreement when compared to simulation results ( Matlab program). The findings are reliable over the whole solution domain.