Mathematical modelling of biosensors with substrate and product degeneration

Liana  Stonkienė; Feliksas  Ivanauskas

doi:10.15388/LMR.B.2012.19

Articles

Liana Stonkienė

Vilniaus universitetas

Feliksas Ivanauskas

Vilniaus universitetas

Published 2012-12-20

https://doi.org/10.15388/LMR.B.2012.19

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Keywords

reaction-diffusion
mathematical modelling
biosensor

How to Cite

Stonkienė, L. and Ivanauskas, F. (2012) “Mathematical modelling of biosensors with substrate and product degeneration”, Lietuvos matematikos rinkinys, 53(B), pp. 102–107. doi:10.15388/LMR.B.2012.19.

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Abstract

This paper presents a one-dimensional-in-space mathematical model of the amperometric biosensors with substrate and product degeneration. The model is based on diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reactions. It was analyzed effect of substrate and product degeneration for the biosensors response.

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