A new piecewise spectral homotopy analysisof the Michaelis-Menten enzymatic reactions model

DOI10.1007/s11075-013-9745-4zbMath1296.65099OpenAlexW2071616805MaRDI QIDQ398592

Stanford Shateyi, Sandile Sydney Motsa, Yasir Khan

Publication date: 15 August 2014

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-013-9745-4

zbMATH Keywords

comparison of methodsnumerical examplesspectral homotopy analysis methodMichaelis-Menten enzymatic reactionspiecewise spectral homotopy analysisRunge-Kutta routinessystems of nonlinear differential equations

Mathematics Subject Classification ID

Classical flows, reactions, etc. in chemistry (92E20) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations (65L60)

Related Items (max. 100)

A Multi-Domain Bivariate Pseudospectral Method for Evolution Equations ⋮ A transformed time-dependent Michaelis-Menten enzymatic reaction model and its asymptotic stability ⋮ Solution method for the transformed time-dependent Michaelis-Menten enzymatic reaction model ⋮ Rational and exponential Legendre Tau method on steady flow of a third grade fluid in a porous half space

Uses Software

• Matlab
• ISHAM

Cites Work

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• A new spectral-homotopy analysis method for the MHD Jeffery-Hamel problem
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• A new approach for the solution of three-dimensional magnetohydrodynamic rotating flow over a shrinking sheet
• A new spectral-homotopy analysis method for solving a nonlinear second order BVP
• Enzyme kinetics for a two-step enzymic reaction with comparable initial enzyme-substrate ratios
• Enzyme kinetics at high enzyme concentration
• An improved spectral homotopy analysis method for solving boundary layer problems
• A novel numerical technique for two-dimensional laminar flow between two moving porous walls
• The total quasi-steady-state approximation is valid for reversible enzyme kinetics
• Reduced models of networks of coupled enzymatic reactions
• A spectral‐homotopy analysis method for heat transfer flow of a third grade fluid between parallel plates
• Spectral Methods in MATLAB
• Enzyme kinetics of multiple alternative substrates

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