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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Main Authors: Julija Razumiene, Karolis Petrauskas, Juozas Kulys, Romas Baronas
Format: Article
Language:English
Published: MDPI AG 2012-07-01
Series:Sensors
Subjects:
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.
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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