The Influence of the Diffusion Space Geometry on Behavior of some Processes in Biochemistry and Electrochemistry
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Published:2000-12-05
Issue:
Volume:5
Page:3-38
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ISSN:2335-8963
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Container-title:Nonlinear Analysis: Modelling and Control
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language:
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Short-container-title:NAMC
Author:
Baronas R.,Ivanauskas F.,Kulys J.,Sapagovas M.,Survila A.
Abstract
The reaction-diffusion and diffusion equations were applied for modelling of some processes in biochemistry and electrochemistry. Modelling of the amperometric biosensors based on carbon paste electrodes encrusted with a single nonhomogeneous microreactor is analyzed. The mathematical model of the biosensor operation is based on nonstationary reaction-diffusion equations containing a non-linear term given by Michaelis-Menten function. Modelling of a simple redox-electrode reaction, involving two soluble species, is also considered. The model of the electrode behavior, taking into account the resist layer of the partially blocked electrodes, was expressed as a system of differential equations of the diffusion type with initial and boundary conditions. The mathematical model generalizing both processes: biochemical and electrochemical is presented in this paper. The generalized problem was solved numerically. The finite-difference technique was used for discretisation of the model. Using the numerical solution of the generalized problem, the influence of the size, shape and position of a microreactor as well as the thickness of the resist layer on the current dynamics was investigated.
Publisher
Vilnius University Press
Subject
Applied Mathematics,Analysis
Cited by
1 articles.
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