Mathematical modelling of biosensors with substrate and product degeneration

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...

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Main Authors: Liana Stonkienė, Feliksas Ivanauskas
Format: Article
Language:English
Published: Vilnius University Press 2012-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
Online Access:https://www.journals.vu.lt/LMR/article/view/17105
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spelling doaj-f0fc87a037c049de951849dcda3a5e092020-11-25T02:07:42ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2012-12-0153B10.15388/LMR.B.2012.19Mathematical modelling of biosensors with substrate and product degenerationLiana Stonkienė0Feliksas Ivanauskas1Vilniaus universitetasVilniaus universitetas 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. https://www.journals.vu.lt/LMR/article/view/17105reaction-diffusionmathematical modellingbiosensor
collection DOAJ
language English
format Article
sources DOAJ
author Liana Stonkienė
Feliksas Ivanauskas
spellingShingle Liana Stonkienė
Feliksas Ivanauskas
Mathematical modelling of biosensors with substrate and product degeneration
Lietuvos Matematikos Rinkinys
reaction-diffusion
mathematical modelling
biosensor
author_facet Liana Stonkienė
Feliksas Ivanauskas
author_sort Liana Stonkienė
title Mathematical modelling of biosensors with substrate and product degeneration
title_short Mathematical modelling of biosensors with substrate and product degeneration
title_full Mathematical modelling of biosensors with substrate and product degeneration
title_fullStr Mathematical modelling of biosensors with substrate and product degeneration
title_full_unstemmed Mathematical modelling of biosensors with substrate and product degeneration
title_sort mathematical modelling of biosensors with substrate and product degeneration
publisher Vilnius University Press
series Lietuvos Matematikos Rinkinys
issn 0132-2818
2335-898X
publishDate 2012-12-01
description 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.
topic reaction-diffusion
mathematical modelling
biosensor
url https://www.journals.vu.lt/LMR/article/view/17105
work_keys_str_mv AT lianastonkiene mathematicalmodellingofbiosensorswithsubstrateandproductdegeneration
AT feliksasivanauskas mathematicalmodellingofbiosensorswithsubstrateandproductdegeneration
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