A finite integral transform technique for solving the diffusion-reaction equation with Michaelis-Menten kinetics

DOI10.1016/0025-5564(81)90074-2zbMath0458.92008OpenAlexW1987653967MaRDI QIDQ1151845

Paul F. Greenfield, Duong Dang Do

Publication date: 1981

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(81)90074-2

zbMATH Keywords

diffusion-reaction equationMichaelis-Menten kineticsiterative refinementSherwood numberfinite integral transformsThiele modulus

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Numerical solution of boundary value problems involving ordinary differential equations (65L10) Other natural sciences (mathematical treatment) (92F05) General integral transforms (44A05) Physiological, cellular and medical topics (92Cxx) Chemistry (92Exx)

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Diffusion regulated growth characteristics of a spherical prevascular carcinoma ⋮ On the analysis of oxygen diffusion and reaction in biological systems

Cites Work

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• Complementary variational principles for diffusion problems with Michaelis-Menten kinetics
• An initial-value method for the solution of certain nonlinear diffusion equations in biology
• A nonlinear perturbation problem arising in chemical engineering
• Extension of numerical quadrature formulae to cater for end point singular behaviours over finite intervals
• Transforming Boundary Conditions to Initial Conditions for Ordinary Differential Equations
• Further Extension on Transforming from Boundary Value to Initial Value Problems

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