Abstract
A mathematical model for electroenzymatic process of a rotating-disk-bioelectrode in which polyphenol oxidase occurs for all values of concentration of catechol substrate is presented. The model is based on system of reaction-diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reaction. Approximate analytical method (He’s Homotopy perturbation method) is used to solve the non-linear differential equations that describe the diffusion coupled with a Michaelis-Menten kinetics law. Closed analytical expressions for substrate concentration, product concentration and corresponding current response have been derived for all values of parameter using perturbation method. These results are compared with simulation results and are found to be in good agreement. The obtained results are valid for the whole solution domain.
Highlights
Enzymes electrodes are powerful tools for understanding the mechanism and kinetics of fast reactions
In the view of numerous application of such bio-sensor with amplified response, we are interested in investigating the concentration s and p in order to improve the metrological characteristics further. This theoretical approach is of practical interest since this kind of biosensor can be used for the determination of phenolic compounds and catecholamine neurotransmitters in the field of environmental control and clinical analysis [1222]
The kinetic response of amperometric biosensor depends on concentrations of U and V
Summary
View of numerous application of such bio-sensor with amplified response, we are interested in investigating the concentration s and p in order to improve the metrological characteristics further. This theoretical approach is of practical interest since this kind of biosensor can be used for the determination of phenolic compounds and catecholamine neurotransmitters in the field of environmental control and clinical analysis [1222]. Desprez and Labbe [23] obtained the analytical expression concentration and current for the limiting cases only. The purpose of this communication is to derive a simple accurate polynomial expressions of concentrations generated at a enzyme electrode using Homotopy perturbation method
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