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Modeling Carbon Nanotube Based Biosensors

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Mathematical Modeling of Biosensors

Part of the book series: Springer Series on Chemical Sensors and Biosensors ((SSSENSORS,volume 9))

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Abstract

This chapter presents two-dimensional and one-dimensional-in-space mathematical models of mediated and unmediated (mediatorless) amperometric biosensors based on an enzyme-loaded carbon nanotube (CNT) layer deposited on the perforated membrane. The models are based on nonlinear reaction–diffusion equations and involve four regions: the enzyme and the CNT regions where enzymatic reactions as well as the mass transport by diffusion take place, a diffusion limiting layer where only the mass transport by diffusion takes place and a convective region where the analyte concentration is maintained constant. By changing input parameters the output results are numerically analysed with an emphasis to the influence of the geometry and the catalytic activity of the biosensors to their response and sensitivity. The mediatorless transfer of the electrons in the region of enzyme-loaded carbon nanotubes is especially investigated. The numerical simulation at transient conditions was carried out using the finite difference technique. The mathematical models and the numerical solutions 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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Authors and Affiliations

  1. Faculty of Mathematics & Informatics, Institute of Computer Science, Vilnius University, Vilnius, Lithuania

    Romas Baronas & Feliksas Ivanauskas

  2. Life Sciences Center, Vilnius University, Vilnius, Lithuania

    Juozas Kulys

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  1. Romas Baronas
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  2. Feliksas Ivanauskas
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  3. Juozas Kulys
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Baronas, R., Ivanauskas, F., Kulys, J. (2021). Modeling Carbon Nanotube Based Biosensors. In: Mathematical Modeling of Biosensors. Springer Series on Chemical Sensors and Biosensors, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-030-65505-1_11

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