Author(s)

Malinidevi Ramanathan¹, Rajendran Lakshmanan^1,2*

¹Department of Mathematics, The Standard Fireworks Rajaratnam College for Women, Sivakasi, India.
²Department of Mathematics, Sethu Institute of Technology, Kariapatti, India.

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 B_s, B_o and B_m (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.

Mathematical Modelling, Enzyme Electrodes, Non-linear Reaction, Diffusion Equation, New Homotopy Perturbation Method

Ramanathan, M. and Lakshmanan, R. (2016) Theoretical Analysis of Immobilized Oxidase Enzyme Electrode in the Presence of Two Oxidants. American Journal of Analytical Chemistry, 7, 679-695. doi: 10.4236/ajac.2016.710062.