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ISRN Electrochemistry
Volume 2014 (2014), Article ID 816789, 12 pages
http://dx.doi.org/10.1155/2014/816789
Research Article

Theoretical Analysis of an Amperometric Biosensor Based on Parallel Substrates Conversion

Department of Mathematics, The Madura College, Madurai, Tamil Nadu 625 011, India

Received 5 February 2014; Accepted 12 March 2014; Published 10 April 2014

Academic Editors: S. Arya, R. Kizek, and A. Walcarius

Copyright © 2014 T. Praveen and L. Rajendran. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The behaviour of an amperometric biosensor based on parallel substrates conversion for steady-state condition has been discussed. This analysis contains a nonlinear term related to enzyme kinetics. Simple and closed form of analytical expressions of concentrations and of biosensor current is derived. This model was originally reported by Vytautas Aseris and his team (2012). Concentrations of substrate and product are expressed in terms of single dimensionless parameter. A new approach to Homotopy perturbation method (HPM) is employed to solve the system of nonlinear reaction diffusion equations. Furthermore, in this work, the numerical solution of the problem is also reported using Matlab program. The analytical results are compared with the numerical results. The analytical result provided is reliable and efficient to understand the behavior of the system.