Taylor's series method for solving the nonlinear reaction-diffusion equation in the electroactive polymer film

RU Rani, L Rajendran - Chemical Physics Letters, 2020 - Elsevier
In this paper, the nonlinear reaction-diffusion equation in the electroactive polymer film is
solved analytically. This mathematical model describes a substrate to form a complex with …

Akbari-Ganji's Method (AGM) for solving non-linear reaction-Diffusion equation in the electroactive polymer film

KM Dharmalingam, M Veeramuni - Journal of Electroanalytical Chemistry, 2019 - Elsevier
In this paper, we solve the non-linear reaction–diffusion equations that determine the
concentration of substrate in the electroactive polymer film. This mathematical model …

Mathematical analysis of reaction–diffusion equations modeling the michaelis–menten kinetics in a micro-disk biosensor

NA Khan, FS Alshammari, CAT Romero, M Sulaiman… - Molecules, 2021 - mdpi.com
In this study, we have investigated the mathematical model of an immobilized enzyme
system that follows the Michaelis–Menten (MM) kinetics for a micro-disk biosensor. The film …

Approximate analytical solution for non-linear reaction diffusion equations in a mono-enzymatic biosensor involving Michaelis–Menten kinetics

OM Kirthiga, L Rajendran - Journal of Electroanalytical Chemistry, 2015 - Elsevier
Here we consider the case where the enzyme reacts with an electroinactive substrate to
produce an electroactive product which is quickly oxidized or reduced at the electrode/film …

A new method to study the nonlinear reaction-diffusion process in the electroactive polymer film using hyperbolic function method

S Rekha, RU Rani, L Rajendran, MEG Lyons - International Journal of …, 2022 - Elsevier
A mathematical model developed by Lyons and co-workers (Analyst, 121,(1996) 715–731)
describes a substrate to form a complex with the immobilized catalyst is discussed. The …

Application of Taylor's series with Ying Buzu Shu algorithm for the nonlinear problem in amperometric biosensors

B Manimegalai, R Swaminathan, MEG Lyons… - International Journal of …, 2022 - Elsevier
The enzyme combines with an electroinactive substrate to produce an electroactive product
that is oxidised or reduced rapidly at the electrode/film interface in this method. This model is …

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 …

Mathematical analysis for electron transfer mediator/heterogeneous catalyst composites in polymer modified electrodes

S Padma, N Mehala, A Eswari, MEG Lyons… - International Journal of …, 2022 - Elsevier
Mathematical models of transport and kinetics of electrons and reactants in the layer of a
modified electrode are discussed theoretically. The model comprises a system of reaction …

Analytical solution of steady-state current an enzyme-modified microcylinder electrodes

A Eswari, L Rajendran - Journal of Electroanalytical Chemistry, 2010 - Elsevier
An analysis of the diffusion and kinetics in an enzyme-modified microcylinder electrodes is
presented. A simple approximate analytical expression of concentration is derived for the …

Characteristics of fast mediated bioelectrocatalytic reaction near microelectrodes

Y Kitazumi, T Noda, O Shirai, M Yamamoto… - Physical Chemistry …, 2014 - pubs.rsc.org
The pseudo-steady-state current due to a mediated enzymatic reaction on a microelectrode
is characterized on the basis of theoretical analysis and numerical simulation. The steady …