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The Effect of Diffusion Limitations on the Response of Amperometric Biosensors with Substrate Cyclic Conversion
Authors:R Baronas  F Ivanauskas  J Kulys
Institution:(1) Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 2600 Vilnius, Lithuania;(2) Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania;(3) Vilnius Gediminas Technical University, Sauletekio al. 11, 2040 Vilnius, Lithuania
Abstract:A mathematical model of amperometric biosensors in which chemical amplification by cyclic substrate conversion takes place in a single enzyme membrane has been developed. The model involves three regions: the enzyme layer where enzyme reaction as well as mass transport by diffusion takes place, a diffusion limiting region where only the diffusion takes place, and a convective region where the analyte concentration is maintained constant. Using computer simulation the influence of the thicknesses of the enzyme layer and the diffusion region on the biosensor response was investigated. This paper deals with conditions when the mass transport in the exterior region may be neglected to simulate the biosensor response in a well-stirred solution. The digital simulation was carried out using the finite difference technique.
Keywords:reaction–  diffusion  modelling  biosensor  amplification
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