A numerical study of oxygen diffusion in a spherical cell with the Michaelis-Menten oxygen uptake kinetics

DOI10.1007/BF00275638zbMath0592.92008OpenAlexW1994446111WikidataQ52651641 ScholiaQ52651641MaRDI QIDQ1075964

Gary A. Sod

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1007/bf00275638

zbMATH Keywords

random choice methodreaction diffusion systemsspherical celloxygen diffusionMichaelis-Menten oxygen uptake kineticsdictionary method

Mathematics Subject Classification ID

Applications to the sciences (65Z05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99) Physiological, cellular and medical topics (92Cxx)

Related Items

A dictionary approach to reaction-diffusion systems with nonlinear diffusion coefficients ⋮ Oxygen diffusion in a spherical cell subject to nonlinear Michaelis–Menten kinetics: Mathematical analysis by two exact methods ⋮ Modeling of reaction-diffusion transport into a core-shell geometry

Cites Work

• On oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics
• The asymptotic analysis of wave interactions and numerical calculations of transonic nozzle flow
• Complementary variational principles for diffusion problems with Michaelis-Menten kinetics
• Random choice solution of hyperbolic systems
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• Random choice methods with applications to reacting gas flow
• Glimm’s Method for Gas Dynamics
• A numerical study of a converging cylindrical shock
• Solutions in the large for nonlinear hyperbolic systems of equations
• Numerical Methods in Fluid Dynamics
• Unnamed Item

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