Numerical modeling of oxygen diffusion in cells with Michaelis-Menten uptake kinetics

DOI10.1007/s10910-009-9646-xzbMath1196.92009OpenAlexW2030111185MaRDI QIDQ1959280

Pedro M. Lima, M. L. Morgado

Publication date: 6 October 2010

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-009-9646-x

zbMATH Keywords

finite difference methodsingular boundary value problemshooting method\(m\)-Laplaciansingular Cauchy problem

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Cell biology (92C37) Applications of boundary value problems involving ordinary differential equations (34B60) Computational methods for problems pertaining to biology (92-08)

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Cites Work

• Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics
• Analytical-numerical investigation of a singular boundary value problem for a generalized Emden-Fowler equation
• On oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics
• Pointwise bounds for a nonlinear heat conduction model of the human head
• Complementary variational principles for diffusion problems with Michaelis-Menten kinetics
• Complementary extremum principles for a nonlinear model of heat conduction in the human head
• On the convergence of a finite difference method for a class of singular boundary value problems arising in physiology.
• Singular cauchy problems for systems of ordinary differential equations
• A finite difference method for a class Of singular two point boundary value problems arising in physiology

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