TITLE:
Analytical Expressions for Steady-State Concentrations of Substrate and Product in an Amperometric Biosensor with the Substrate Inhibition—The Adomian Decomposition Method
AUTHORS:
Anandan Anitha, Shunmugham Loghambal, Lakshmanan Rajendran
KEYWORDS:
Mathematical Modeling; Non-Linear Equation; Adomian Decomposition Method; AmperometricBiosensor; Reaction-Diffusion System; Substrate Inhibition
JOURNAL NAME:
American Journal of Analytical Chemistry,
Vol.3 No.8,
August
27,
2012
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 φ2s φ2s 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.