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Analytical Expressions of Concentrations of Substrate and Hydroquinone in an Amperometric Glucose Biosensor
Author(s) -
M. Uma Maheswari,
Rajendran Lakshmanan
Publication year - 2013
Publication title -
isrn physical chemistry
Language(s) - English
Resource type - Journals
ISSN - 2090-7761
DOI - 10.1155/2013/143870
Subject(s) - glucose oxidase , biosensor , amperometry , substrate (aquarium) , chemistry , nonlinear system , homotopy analysis method , hydroquinone , homotopy perturbation method , immobilized enzyme , reaction–diffusion system , thiele modulus , enzyme kinetics , diffusion , thermodynamics , enzyme , mathematical analysis , mathematics , physics , electrochemistry , electrode , biochemistry , oceanography , quantum mechanics , geology , active site
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.

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