Analytic bounds for solutions of a class of boundary value problems in physiology

DOI10.1016/0025-5564(88)90073-9zbMath0651.92004OpenAlexW1996441554MaRDI QIDQ1106758

J. B. Garner

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0025-5564(88)90073-9

zbMATH Keywords

Michaelis-Menten kineticsoxygen diffusion problem in spherical cellspointwise upper and lower boundssharp polynomial approximations

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Physiological, cellular and medical topics (92Cxx)

Related Items

Existence, uniqueness, and stability for a class of diffusion problems, Pointwise solution bounds for a class of singular diffusion problems in physiology, Existence and uniqueness of solutions to a class of singular diffusion problems, Nonhomogeneous diffusion with singularities at the boundaries

Cites Work

• Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics
• 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