The Influence of the Diffusion Space Geometry on Behavior of some Processes in Biochemistry and Electrochemistry
Articles
R. Baronas
Vilnius University, Lithuania
F. Ivanauskas
Vilnius University; Institute of Mathematics and Informatics, Lithuania
J. Kulys
Institute of Biochemistry, Lithuania
M. Sapagovas
Institute of Mathematics and Informatics, Lithuania
A. Survila
Institute of Chemistry, Lithuania
Published 2000-12-05
https://doi.org/10.15388/NA.2000.5.0.15238
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Keywords

modelling
diffusion
biosensors
partially-blocked electrodes
microreactor

How to Cite

Baronas, R. (2000) “The Influence of the Diffusion Space Geometry on Behavior of some Processes in Biochemistry and Electrochemistry”, Nonlinear Analysis: Modelling and Control, 5(1), pp. 3–38. doi:10.15388/NA.2000.5.0.15238.

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.

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