American Institute of Mathematical Sciences

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2003, 2003(Special): 623-629. doi: 10.3934/proc.2003.2003.623

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, United States

Received  July 2002 Revised  March 2003 Published  April 2003

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: glycolysis., Positivity, nonstandard finite difference schemes.
Mathematics Subject Classification: Primary: 65L12, 92B99; Secondary: 92-0.
Citation: Ronald E. Mickens. Positivity preserving discrete model for the coupled ODE's modeling glycolysis. Conference Publications, 2003, 2003 (Special) : 623-629. doi: 10.3934/proc.2003.2003.623
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