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Approximate Analytical Solution of Nonlinear Reaction’s Diffusion Equation at Conducting Polymer Ultramicroelectrodes
Joint Authors
Alwarappan, Subbiah
Shanmugarajan, Anitha
Lakshmanan, Rajendran
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-03-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Shanmugarajan, Anitha& Alwarappan, Subbiah& Lakshmanan, Rajendran. 2012. Approximate Analytical Solution of Nonlinear Reaction’s Diffusion Equation at Conducting Polymer Ultramicroelectrodes. ISRN Physical Chemistry،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-495335
Modern Language Association (MLA)
Shanmugarajan, Anitha…[et al.]. Approximate Analytical Solution of Nonlinear Reaction’s Diffusion Equation at Conducting Polymer Ultramicroelectrodes. ISRN Physical Chemistry No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-495335
American Medical Association (AMA)
Shanmugarajan, Anitha& Alwarappan, Subbiah& Lakshmanan, Rajendran. Approximate Analytical Solution of Nonlinear Reaction’s Diffusion Equation at Conducting Polymer Ultramicroelectrodes. ISRN Physical Chemistry. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-495335
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-495335