Modelling surface roughness of enzyme layer of amperometric biosensors
A mathematical model of amperometric biosensors is presented. The model is based on the diffusion equations containing a non-linear term related to the Michaelis-Menten kinetics of the enzyme reaction. The model takes into concideration surface roughness of the enzyme layer. Using digital simulatio...
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Format: | Article |
Language: | English |
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Vilnius University Press
2003-12-01
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Series: | Lietuvos Matematikos Rinkinys |
Online Access: | https://www.journals.vu.lt/LMR/article/view/32540 |
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author | Feliksas Ivanauskas Romas Baronas Juozas Kulys Mifodijus Sapagovas |
author_facet | Feliksas Ivanauskas Romas Baronas Juozas Kulys Mifodijus Sapagovas |
author_sort | Feliksas Ivanauskas |
collection | DOAJ |
description |
A mathematical model of amperometric biosensors is presented. The model is based on the diffusion equations containing a non-linear term related to the Michaelis-Menten kinetics of the enzyme reaction. The model takes into concideration surface roughness of the enzyme layer. Using digital simulation, the influence of the geometry of the roughness on the biosensor response was investigated. The digital simulation was carried out using the finite difference technique.
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format | Article |
id | doaj-art-31a0dcc64feb420199ded68b4a61678d |
institution | Kabale University |
issn | 0132-2818 2335-898X |
language | English |
publishDate | 2003-12-01 |
publisher | Vilnius University Press |
record_format | Article |
series | Lietuvos Matematikos Rinkinys |
spelling | doaj-art-31a0dcc64feb420199ded68b4a61678d2025-01-20T18:17:22ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2003-12-0143spec.10.15388/LMR.2003.32540Modelling surface roughness of enzyme layer of amperometric biosensorsFeliksas Ivanauskas0Romas Baronas1 Juozas Kulys2Mifodijus Sapagovas3Vilnius UniversityVilnius UniversityInstitute of BiochemistryInstitute of Mathematics and Informatics A mathematical model of amperometric biosensors is presented. The model is based on the diffusion equations containing a non-linear term related to the Michaelis-Menten kinetics of the enzyme reaction. The model takes into concideration surface roughness of the enzyme layer. Using digital simulation, the influence of the geometry of the roughness on the biosensor response was investigated. The digital simulation was carried out using the finite difference technique. https://www.journals.vu.lt/LMR/article/view/32540 |
spellingShingle | Feliksas Ivanauskas Romas Baronas Juozas Kulys Mifodijus Sapagovas Modelling surface roughness of enzyme layer of amperometric biosensors Lietuvos Matematikos Rinkinys |
title | Modelling surface roughness of enzyme layer of amperometric biosensors |
title_full | Modelling surface roughness of enzyme layer of amperometric biosensors |
title_fullStr | Modelling surface roughness of enzyme layer of amperometric biosensors |
title_full_unstemmed | Modelling surface roughness of enzyme layer of amperometric biosensors |
title_short | Modelling surface roughness of enzyme layer of amperometric biosensors |
title_sort | modelling surface roughness of enzyme layer of amperometric biosensors |
url | https://www.journals.vu.lt/LMR/article/view/32540 |
work_keys_str_mv | AT feliksasivanauskas modellingsurfaceroughnessofenzymelayerofamperometricbiosensors AT romasbaronas modellingsurfaceroughnessofenzymelayerofamperometricbiosensors AT juozaskulys modellingsurfaceroughnessofenzymelayerofamperometricbiosensors AT mifodijussapagovas modellingsurfaceroughnessofenzymelayerofamperometricbiosensors |