[PDF][PDF] Analytical solutions of non-linear boundary value problem for chemical reactions of enzyme substrate

C Thangapandi, K Renganathan… - Malaya Journal of …, 2020 - malayajournal.org
A mathematical representation for the non-linear accelerator mechanics response technique
is discussed. We have a tendency to ponder dynamic models of reversible hastening agent …

Forecasting and dynamical modeling of reversible enzymatic reactions with a hybrid proportional fractional derivative

PA Naik, A Zehra, M Farman, A Shehzad… - Frontiers in …, 2024 - frontiersin.org
Chemical kinetics is a branch of chemistry that investigates the rates of chemical reactions
and has applications in cosmology, geology, and physiology. In this study, we develop a …

[HTML][HTML] Mathematical modelling of a mono-enzyme dual amperometric biosensor for enzyme-catalyzed reactions using homotopy analysis and Akbari-Ganji methods

K Ranjani, R Swaminathan, SG Karpagavalli - International Journal of …, 2023 - Elsevier
The mathematical model is described in this article as a mono-enzyme dual biosensor. This
model involves coupling the enzyme-catalyzed reactions under steady-state conditions for a …

[HTML][HTML] A theoretical investigation of steady-state concentration processes at a carrier-mediated transport model using Akbari-Ganji and differential transform methods

K Ranjani, R Swaminathan, SG Karpagavalli - Partial Differential Equations …, 2023 - Elsevier
In this article, a carrier-mediated transport model is considered. The steady-state non-linear
diffusion equations were solved by two effective and accessible analytical methods, Akbari …

The wavelet methods to linear and nonlinear reaction–diffusion model arising in mathematical chemistry

M Mahalakshmi, G Hariharan, K Kannan - Journal of Mathematical …, 2013 - Springer
In this paper, we have applied an accurate and efficient wavelet scheme (due to Legendre
polynomial) to find the numerical solutions for a set of coupled reaction–diffusion equations …

High performance computational approach to study model describing reversible two-step enzymatic reaction with time fractional derivative

HB Chethan, NB Turki, DG Prakasha - Scientific Reports, 2024 - nature.com
Enzyme reactions have numerous applications in diverse disciplines of science like
chemistry, biology and biomechanics. In this study, we examine the role and act of enzymes …

[HTML][HTML] Modelos Matemáticos en la cinética enzimática. Una revisión

MP Maisincho Asqui, MH Delgado Demera… - Centro Azúcar, 2022 - scielo.sld.cu
Objetivo: Conocer el estado del arte en esta área del conocimiento, resaltando los
hallazgos más exitosos y promisorios publicados recientemente. Materiales y Métodos: Se …

[HTML][HTML] Mathematical modelling of three-layer amperometric biosensor and analytical expressions using homotopy perturbation method.

K Ranjani, R Swaminathan, SG Karpagavalli - Partial Differential Equations …, 2024 - Elsevier
In this study, a biosensor based on an electrode that has been chemically altered is
represented mathematically. The homotopy perturbation method analytically solves the …

[PDF][PDF] Analytical solution of coupled non-linear second order reaction differential equations in enzyme kinetics

G Varadharajan, L Rajendran - Natural science, 2011 - researchgate.net
The coupled system of non-linear second-order reaction differential equation in basic
enzyme reaction is formulated and closed analytical expressions for substrate and product …

Dynamic behavior of enzyme kinetics cooperative chemical reactions

A Jan, RA Shah, H Ahmad, H Bilal, B Almohsen - AIP Advances, 2024 - pubs.aip.org
This article uses computational mathematics to investigate the dynamics of cooperative
occurrences in chemical reactions inside living organisms. We study the dynamics of …