A kinetic model for amperometric immobilized enzymes at planar, cylindrical and spherical electrodes: The Akbari-Ganji method

B Manimegalai, MEG Lyons, L Rajendran - Journal of Electroanalytical …, 2021 - Elsevier
Diffusion and kinetics of amperometric immobilized enzymes on the planar, cylindrical and
spherical electrodes are discussed. This model is described as a set of non-linear reaction …

Steady-state current in product inhibition kinetics in an amperometric biosensor: Adomian decomposition and Taylor series method

RU Rani, L Rajendran, MEG Lyons - Journal of Electroanalytical Chemistry, 2021 - Elsevier
Theoretical models of an amperometric biosensor with product inhibition kinetics are
discussed. These models are based on non-stationary diffusion equations containing a non …

[HTML][HTML] Reaction kinetics of amperometric enzyme electrode in various geometries using the Akbari-Ganji method

A Nebiyal, R Swaminathan, SG Karpagavalli - International Journal of …, 2023 - Elsevier
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 …

Mathematical modeling in amperometric oxidase enzyme–membrane electrodes

S Loghambal, L Rajendran - Journal of Membrane Science, 2011 - Elsevier
The theoretical analysis of the steady-state amperometric oxidase enzyme–membrane
electrode is developed. The model is based on diffusion equations containing a non-linear …

Analytical solution of amperometric enzymatic reactions based on Homotopy perturbation method

A Shanmugarajan, S Alwarappan, S Somasundaram… - Electrochimica …, 2011 - Elsevier
Electrochemical polymerization is a simple and direct technique often employed for
immobilizing redox enzymes at an electrode surface. Besides these, it allows precise control …

Modelling glucose dehydrogenase-based amperometric biosensor utilizing synergistic substrates conversion

V Ašeris, E Gaidamauskaitė, J Kulys, R Baronas - Electrochimica Acta, 2014 - Elsevier
A scheme of a glucose dehydrogenase-based bioelectrocatalytical system where
ferricyanide is converted to ferrocyanide in the presence of highly reactive organic electron …

[HTML][HTML] Analytical solutions of some two-point non-linear elliptic boundary value problems

V Ananthaswamy, L Rajendran - 2012 - scirp.org
Several problems arising in science and engineering are modeled by differential equations
that involve conditions that are specified at more than one point. The non-linear two-point …

A general mathematical expression of amperometric enzyme kinetics using He's variational iteration method with Pade approximation

A Malvandi, DD Ganji - Journal of Electroanalytical Chemistry, 2013 - Elsevier
The aim of this paper is to find a general mathematical expression for amperometric enzyme
kinetics problems. The variational iteration method coupled with Padé approximation (VIM …

[HTML][HTML] Analysis of non-linear reaction-diffusion processes with Michaelis-Menten kinetics by a new Homotopy perturbation method

D Shanthi, V Ananthaswamy, L Rajendran - 2013 - scirp.org
This paper demonstrates the approximate analytical solution to a non-linear singular two-
point boundary-value problem which describes oxygen diffusion in a planar cell. The model …

Theoretical treatment of diffusion and kinetics of osmium redox polymer mediated glucose oxidase enzyme electrodes: Analytical expression of current density for …

M Kirthiga, L Rajendran, C Fernandez - Electrochimica acta, 2017 - Elsevier
We present for the first time a mathematical model of osmium redox polymer mediated
glucose oxidase enzyme electrodes. This model is based on a system of three coupled …