Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics
type: Item
instance of: scholarly article
title: Analytical bounding functions for diffusion problems with Michaelis- Menten kinetics
zbMATH Open document ID: 0554.92005
DOI: 10.1007/BF02459650
author: D. Kharzeev
published in: Bulletin of Mathematical Biology
publication date: 1985-01-01T00:00:00Z
review text: Pointwise upper and lower bounds for the solution of a class of nonlinear diffusion problems with Michaelis-Menten kinetics are presented. Simple analytical bounding curves are obtained and for an illustrative case the calculated values bound the recent numerical solution of \textit{P. Hiltmann} and \textit{P. Lory}, ibid. 45, 661-664 (1983; Zbl 0512.92008).
Mathematics Subject Classification ID: 92Cxx
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 3883987
zbMATH Keywords: nonlinear diffusion
zbMATH Keywords: Michaelis-Menten kinetics
zbMATH Keywords: analytical bounding curves
MaRDI profile type: Publication
cites work: Q5624091
cites work: Complementary variational principles for diffusion problems with Michaelis-Menten kinetics
cites work: On oxygen diffusion in a spherical cell with Michaelis-Menten oxygen uptake kinetics
cites work: Q3915266
full work available at URL: https://doi.org/10.1007/bf02459650
OpenAlex ID: W4249798426
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description: scientific article; zbMATH DE number 3883987