Modelling Carbon Nanotubes-Based Mediatorless Biosensor

Abstract

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.

Modified SWCNTs for Reagentless Glucose Biosensor: Electrochemical and Mathematical Characterization

“…Due to the nonlinearity the problem was solved numerically by applying the finite difference technique 37. The developed mathematical model of the SWCNT‐cased biosensor was in detail stated recently in 38. In this investigation the same model was applied to study the behavior of the biosensor with optimal preoxidation of the SWCNTs.…”

Nanocatalysts Containing Direct Electron Transfer-Capable Oxidoreductases: Recent Advances and Applications

“…For this reason, nanocatalytic systems could be designed containing enzyme-metallic nanoparticle conjugates, which could produce CO from CO2. Woolerton et al demonstrated hybrid nanocatalysts composed of TiO2 particles with immobilized CO2-reducing enzyme (CODH) I from the anaerobic microbe Carboxydothermus hydrogenoformans and photosensitizer (ruthenium bipyridine-based compound) [108]. In this work, CODH catalyzed the reduction of CO2 to CO using MES buffer solution as a sacrificial electron donor when the system was exposed to visible light ( Figure 6).…”

“…Also, the activity dependence on pH was analyzed, and it was determined that the dependence of activity on pH of completed nanocatalytic system was related to the activity dependence on the pH of both enzymes ( Figure 5D). Following previously synthesized and modelled carbon-based bioelectrode designs [108,109], an attempt to wire two DET-capable oxidoreductases was conducted using single-walled carbon nanotubes (SWCNTs) by a study of our group [110]. In this work, a DET-capable glucose dehydrogenase from Ewangella americana and a laccase from Trichaptum abietinum were immobilized on graphite electrode modified with SWCNTs ( Figure 5A).…”

“…Electrons were transferred from sacrificial electron donor MES to CODH when the system was affected by visible light. Adapted with permission from Woolerton et al [108]. Copyright (2010) American Chemical Society.…”

Hybrid Modeling Method for a DEP Based Particle Manipulation

“…To model BioMEMS, many approaches have been explored [12–17]. First, it would be possible to simply use finite element modeling (FEM) to completely discretize a given BioMEMS geometry, then use complex non-linear differential equations to iteratively characterize the time-dependent behavior.…”