Analytic bounds for solutions of a class of boundary value problems in physiology
type: Item
instance of: scholarly article
title: Analytic bounds for solutions of a class of boundary value problems in physiology
zbMATH Open document ID: 0651.92004
DOI: 10.1016/0025-5564(88)90073-9
author: J. B. Garner
published in: Mathematical Biosciences
publication date: 1988-01-01T00:00:00Z
review text: A method of obtaining pointwise upper and lower bounds for the solutions of a general class of nonlinear boundary value problems is discussed. As an illustrative example, this method is shown to yield sharp polynomial approximations to the solution of the oxygen diffusion problem in spherical cells with oxygen uptake by Michaelis-Menten kinetics.
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 4062882
zbMATH Keywords: pointwise upper and lower bounds
zbMATH Keywords: sharp polynomial approximations
zbMATH Keywords: oxygen diffusion problem in spherical cells
zbMATH Keywords: Michaelis-Menten kinetics
MaRDI profile type: Publication
full work available at URL: 0025-5564(88)90073-9
OpenAlex ID: W1996441554
cites work: Complementary variational principles for diffusion problems with Michaelis-Menten kinetics
cites work: Complementary extremum principles for a nonlinear model of heat conduction in the human head
cites work: Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics
cites work: Pointwise bounds for a nonlinear heat conduction model of the human head
cites work: On oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics
description: scientific article; zbMATH DE number 4062882