Modelling Carbon Nanotubes-Based Mediatorless Biosensor
This paper presents a mathematical model of carbon nanotubes-based mediatorless biosensor. The developed model is based on nonlinear non-stationary reaction-diffusion equations. The model involves four layers (compartments): a layer of enzyme solution entrapped on a terylene membrane, a layer of the...
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Format: | Article |
Language: | English |
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MDPI AG
2012-07-01
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Series: | Sensors |
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Online Access: | http://www.mdpi.com/1424-8220/12/7/9146 |
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author | Julija Razumiene Karolis Petrauskas Juozas Kulys Romas Baronas |
author_facet | Julija Razumiene Karolis Petrauskas Juozas Kulys Romas Baronas |
author_sort | Julija Razumiene |
collection | DOAJ |
description | This paper presents a mathematical model of carbon nanotubes-based mediatorless biosensor. The developed model is based on nonlinear non-stationary reaction-diffusion equations. The model involves four layers (compartments): a layer of enzyme solution entrapped on a terylene membrane, a layer of the single walled carbon nanotubes deposited on a perforated membrane, and an outer diffusion layer. The biosensor response and sensitivity are investigated by changing the model parameters with a special emphasis on the mediatorless transfer of the electrons in the layer of the enzyme-loaded carbon nanotubes. The numerical simulation at transient and steady state conditions was carried out using the finite difference technique. The mathematical model and the numerical solution were validated by experimental data. The obtained agreement between the simulation results and the experimental data was admissible at different concentrations of the substrate. |
first_indexed | 2024-04-11T17:58:45Z |
format | Article |
id | doaj.art-81acbe05204f4eca83ae9d07e4894747 |
institution | Directory Open Access Journal |
issn | 1424-8220 |
language | English |
last_indexed | 2024-04-11T17:58:45Z |
publishDate | 2012-07-01 |
publisher | MDPI AG |
record_format | Article |
series | Sensors |
spelling | doaj.art-81acbe05204f4eca83ae9d07e48947472022-12-22T04:10:35ZengMDPI AGSensors1424-82202012-07-011279146916010.3390/s120709146Modelling Carbon Nanotubes-Based Mediatorless BiosensorJulija RazumieneKarolis PetrauskasJuozas KulysRomas BaronasThis paper presents a mathematical model of carbon nanotubes-based mediatorless biosensor. The developed model is based on nonlinear non-stationary reaction-diffusion equations. The model involves four layers (compartments): a layer of enzyme solution entrapped on a terylene membrane, a layer of the single walled carbon nanotubes deposited on a perforated membrane, and an outer diffusion layer. The biosensor response and sensitivity are investigated by changing the model parameters with a special emphasis on the mediatorless transfer of the electrons in the layer of the enzyme-loaded carbon nanotubes. The numerical simulation at transient and steady state conditions was carried out using the finite difference technique. The mathematical model and the numerical solution were validated by experimental data. The obtained agreement between the simulation results and the experimental data was admissible at different concentrations of the substrate.http://www.mdpi.com/1424-8220/12/7/9146modellingsimulationreaction-diffusionbiosensormediatorlessSWCNT |
spellingShingle | Julija Razumiene Karolis Petrauskas Juozas Kulys Romas Baronas Modelling Carbon Nanotubes-Based Mediatorless Biosensor Sensors modelling simulation reaction-diffusion biosensor mediatorless SWCNT |
title | Modelling Carbon Nanotubes-Based Mediatorless Biosensor |
title_full | Modelling Carbon Nanotubes-Based Mediatorless Biosensor |
title_fullStr | Modelling Carbon Nanotubes-Based Mediatorless Biosensor |
title_full_unstemmed | Modelling Carbon Nanotubes-Based Mediatorless Biosensor |
title_short | Modelling Carbon Nanotubes-Based Mediatorless Biosensor |
title_sort | modelling carbon nanotubes based mediatorless biosensor |
topic | modelling simulation reaction-diffusion biosensor mediatorless SWCNT |
url | http://www.mdpi.com/1424-8220/12/7/9146 |
work_keys_str_mv | AT julijarazumiene modellingcarbonnanotubesbasedmediatorlessbiosensor AT karolispetrauskas modellingcarbonnanotubesbasedmediatorlessbiosensor AT juozaskulys modellingcarbonnanotubesbasedmediatorlessbiosensor AT romasbaronas modellingcarbonnanotubesbasedmediatorlessbiosensor |