Analytical Expressions for Steady-State Concentrations of Substrate and Product in an Amperometric Biosensor with the Substrate Inhibition—The Adomian Decomposition Method

Anandan Anitha, Shunmugham Loghambal, Lakshmanan Rajendran

Department of Mathematics, The Madura College (Autonomous), Madurai-625011, Tamil Nadu, India.

DOI: 10.4236/ajac.2012.38066                

Abstract

A mathematical model of an amperometric biosensor with the substrate inhibition for steady-state condition is discussed. The model is based on the system of non-stationary diffusion equation containing a non-linear term related to non-Michaelis–Menten kinetics of the enzymatic reaction. This paper presents the analytical expression of concentrations and current for all values of parameters φ²_s φ²_s α and β . Here the Adomian decomposition method (ADM) is used to find the analytical expressions for substrate, product concentration and current. A comparison of the analytical approximation and numerical simulation is also presented. A good agreement between theoretical predictions and numerical results is observed.

Keywords

Mathematical Modeling; Non-Linear Equation; Adomian Decomposition Method; AmperometricBiosensor; Reaction-Diffusion System; Substrate Inhibition

Conflicts of Interest

The authors declare no conflicts of interest.

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