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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Vilnius University Press
2012-12-01
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Online Access: | https://www.journals.vu.lt/LMR/article/view/17105 |
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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.
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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 |
_version_ |
1724930239969099776 |