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Sensors 2006, 6(4), 453-465; doi:10.3390/s6040453

Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors

Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 03225 Vilnius, Lithuania
Institute of Mathematics and Informatics, Akademijos 4, 08663 Vilnius, Lithuania
Department of Chemistry and Bioengineering, Vilnius Gediminas Technical University, Sauletekio al. 11, 10223 Vilnius, Lithuania
Author to whom correspondence should be addressed.
Received: 30 July 2005 / Accepted: 4 January 2006 / Published: 7 April 2006
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This paper presents a two-dimensional-in-space mathematical model ofbiosensors based on an array of enzyme microreactors immobilised on a single electrode.The modeling system acts under amperometric conditions. The microreactors were modeledby particles and by strips. The model is based on the diffusion equations containing a non-linear term related to the Michaelis-Menten kinetics of the enzymatic reaction. The modelinvolves three regions: an array of enzyme microreactors where enzyme reaction as well asmass transport by diffusion takes place, a diffusion limiting region where only the diffusiontakes place, and a convective region, where the analyte concentration is maintained constant.Using computer simulation, the influence of the geometry of the microreactors and of thediffusion region on the biosensor response was investigated. The digital simulation wascarried out using the finite difference technique. View Full-Text
Keywords: Reaction-diffusion; modeling; biosensor; microreactor. Reaction-diffusion; modeling; biosensor; microreactor.

This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Baronas, R.; Ivanauskas, F.; Kulys, J. Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors. Sensors 2006, 6, 453-465.

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