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., Ivanauskas F., Kulys J., Sapagovas M. and Survila A. (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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