Application of modified wavelet and homotopy perturbation methods to nonlinear oscillation problems

MSM Selvi, L Rajendran - Applied Mathematics and Nonlinear …, 2019 - sciendo.com
In this paper, an accurate and efficient Chebyshev wavelet-based technique is successfully
employed to solve the nonlinear oscillation problems. Numerical examples are also …

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 …

Steady-State substrate and product concentrations for non-michaelis-menten kinetics in an amperometric biosensor–hyperbolic function and padéapproximants …

K Nirmala, B Manimegalai, L Rajendran - International Journal of …, 2020 - Elsevier
A theoretical model is presented for an amperometric biosensor with inhibition of the
substrate. This model is based on the non-stationary diffusion equations which contains a …

Sensitivity and resistance of amperometric biosensors in substrate inhibition processes

R Swaminathan, MC Devi, L Rajendran… - Journal of …, 2021 - Elsevier
A theoretical model of a sensitivity and resistance of amperometry biosensors with substrate
inhibition kinetics is discussed. This model is based on the system of non-stationary diffusion …

An amperometric biosensor and its steady state current in the case of substrate and product inhibition: Taylors series method and Adomian decomposition method

M Mallikarjuna, R Senthamarai - Journal of Electroanalytical Chemistry, 2023 - Elsevier
In this paper, an amperometric biosensor model with substrate and product inhibition
kinetics is analysed. This model is a steady-state system of reaction-diffusion equations with …

[HTML][HTML] A numerical modelling of an amperometric-enzymatic based uric acid biosensor for GOUT arthritis diseases

P Parthasarathy, S Vivekanandan - Informatics in Medicine Unlocked, 2018 - Elsevier
A numerical model of an amperometric-enzymatic uric acid biosensor for a non-relentless
condition has been developed. This model depends on the arrangement of nonlinear …

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 …

On inverse problems for several coupled PDE systems arising in mathematical biology

MH Ding, H Liu, GH Zheng - Journal of Mathematical Biology, 2023 - Springer
In this paper, we propose and study several inverse problems of identifying/determining
unknown coefficients for a class of coupled PDE systems by measuring the average flux …

Transport and kinetics in electrocatalytic thin film biosensors: bounded diffusion with non-Michaelis-Menten reaction kinetics

MEG Lyons - Journal of Solid State Electrochemistry, 2020 - Springer
In this paper, we describe the problem of describing the transport and catalytic kinetics at
immobilized enzymes in an electronically conductive polymer thin film where substrate …

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 …