Reaction kinetics of amperometric enzyme electrode in various geometries using the Akbari-Ganji method
A. Nebiyal, R. Swaminathan, SG. Karpagavalli
Abstract
A kinetic model of amperometric enzyme electrodes of planar, cylindrical and spherical shape factors is discussed. This paper considers the mathematical formulation of the kinetics mechanism in the electrode’s diffusion layer. This model comprises a non-linear system of reaction diffusion equations. Simple and closed-form analytical expressions for the dimensionless concentration of mediator, enzyme, substrate and resultant current are gained using the Akbari-Ganji method. Comparing the analytical and numerical results reveals a satisfactory level of agreement. The influence of the parameter and electrode’s geometry on mediator concentration, enzyme concentration and current are analysed.
Topics & Concepts
Dimensionless quantityAmperometryDiffusionElectrodeChemistryKineticsSubstrate (aquarium)PlanarThermodynamicsCurrent (fluid)Enzyme kineticsAnalytical Chemistry (journal)ChromatographyPhysical chemistryEnzymeElectrochemistryPhysicsClassical mechanicsOrganic chemistryComputer scienceComputer graphics (images)GeologyActive siteOceanographyElectrochemical Analysis and ApplicationsElectrochemical sensors and biosensorsConducting polymers and applications