TITLE:
Theoretical Analysis of Immobilized Oxidase Enzyme Electrode in the Presence of Two Oxidants
AUTHORS:
Malinidevi Ramanathan, Rajendran Lakshmanan
KEYWORDS:
Mathematical Modelling, Enzyme Electrodes, Non-linear Reaction, Diffusion Equation, New Homotopy Perturbation Method
JOURNAL NAME:
American Journal of Analytical Chemistry,
Vol.7 No.10,
October
13,
2016
ABSTRACT: In this paper, mathematical model of Martens and Hall
(Analytical chemistry 66, 2763-2770
(1994)) for an
immobilized oxidase enzyme electrode is discussed. The model involves the system
of non-linear reaction diffusion equations under the steady state conditions. A
simple and closed-form of approximate analytical expressions for the concentrations
of the immobilization of three enzyme substrates has been derived by solving the system of non-linear reaction
diffusion equations using new approach of homotopy perturbation method. Approximate polynomial expression of concentration of substrate, oxygen and oxidized
mediator and current was obtained in terms of the Thiele moduli and the small
values of parameters Bs, Bo and Bm (normalized surface concentration of substrate, oxygen
and oxidized mediator). Furthermore, in this work the numerical simulation of the
problem is also reported using Matlab program. An agreement between analytical expressions
and numerical results is noted.