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ISRN Physical Chemistry
Volume 2013 (2013), Article ID 143870, 13 pages
http://dx.doi.org/10.1155/2013/143870
Research Article

Analytical Expressions of Concentrations of Substrate and Hydroquinone in an Amperometric Glucose Biosensor

Department of Mathematics, The Madura College, Madurai, Tamil Nadu 625011, India

Received 27 September 2012; Accepted 5 November 2012

Academic Editors: T. Buhse and C. A. Hacker

Copyright © 2013 M. Uma Maheswari 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 theoretical model for an amperometric glucose biosensor is discussed. In this model glucose oxidase enzyme is immobilized in conducting polypyrrole. This model contains a nonlinear term related to enzyme reaction kinetics. He’s homotopy perturbation method is used to find the approximate analytical solutions of coupled non-linear reaction diffusion equations. A closed-form expression of substrate and mediator concentration under non-steady-state conditions is obtained. A comparison of the analytical approximation and numerical simulation is also presented. An agreement between analytical expressions and numerical results is observed.