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ISRN Physical Chemistry
Volume 2012 (2012), Article ID 745616, 12 pages
http://dx.doi.org/10.5402/2012/745616
Research Article

Approximate Analytical Solution of Nonlinear Reaction’s Diffusion Equation at Conducting Polymer Ultramicroelectrodes

1Department of Mathematics, The Madura College, Madurai-625011, India
2Nanomaterials Research and Education Center, University of South Florida, Tampa, FL, USA

Received 14 November 2011; Accepted 22 December 2011

Academic Editors: R. Gómez and H. Luo

Copyright © 2012 Anitha Shanmugarajan et al. 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

A theoretical model of reaction/diffusion within conducting polymer microelectrodes is discussed. The model is based on the steady-state diffusion equation containing a nonlinear term related to the Michaelis-Menten kinetic of the enzymatic reaction. An analytical expression pertaining to the concentration of substrate and current is obtained using homotopy perturbation method for all values of diffusion and the saturation parameter. The substrate concentration profile and current response can be used in a large range of concentrations including the non-linear contributions. These approximate analytical results were found to be in good agreement with the previously reported limiting case results.