Positivity preserving discrete model for the coupled ODE's modeling glycolysis

Ronald E. Mickens

doi:10.3934/proc.2003.2003.623

Article Contents

2003, Volume 2003: 623-629. Doi: 10.3934/proc.2003.2003.623 open access

This issue Previous Article On solutions to stochastic differential inclusions Next Article Existence of solutions for Cahn-Hilliard type equations

Positivity preserving discrete model for the coupled ODE's modeling glycolysis

Ronald E. Mickens^1,

1.
Department of Physics, Clark Atlanta University, Atlanta, GA 30314

Received: June 30, 2002

Revised: February 28, 2003

Published: March 2003

Abstract Related Papers Cited by

Abstract

We construct a nonstandard finite difference scheme for the two coupled ODE's that model glycolysis. The primary emphasis is having the scheme satisfy a positivity condition and also retain the limit-cycle behavior for certain values of the parameters. We show that this is possible and give a full discussion of the scheme along with some of its numerical properties.

Keywords:

Mathematics Subject Classification: Primary: 65L12, 92B99; Secondary: 92-08.

Citation:

Article Metrics

HTML views() PDF downloads(194) Cited by(0)

Positivity preserving discrete model for the coupled ODE's modeling glycolysis

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Positivity preserving discrete model for the coupled ODE's modeling glycolysis

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content