PMID: 8962468Nov 29, 1996Paper

Control analysis of glycolytic oscillations

Biophysical Chemistry
M BierH V Westerhoff

Abstract

The principles involved in the control of the frequency of sustained metabolic oscillations are developed in the context of glycolytic oscillations in Saccharomyces cerevisiae. To this purpose, an existing mathematical model that describes the experimentally obtained oscillations was simplified to a core model. Frequency, relative phase, average concentrations and amplitudes of the oscillations were well approximated by writing the two remaining metabolic variables of the core model (representing [ATP] and [hexose]) as harmonic functions of time and by requiring them to fulfill the differential equations. The extent to which an enzyme (-conglomerate) controls the frequency in a sustained oscillation is defined as the log-log derivative of that frequency with respect to enzyme activity. In both the full model and the core model this control of frequency and the control over the average concentrations proved to be distributed over the enzymes. We identified a summation theorem, stating that the sum of such control coefficients over all processes equals unity for frequency and zero for the average concentrations.

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Citations

Aug 29, 2013·Acta Biotheoretica·J DemongeotA Henrion-Caude
May 6, 2005·Nature·Eileen FungJames C Liao
Jan 26, 2011·IET Systems Biology·S Marjan Varedi KX N Lin
Jul 9, 2011·Science·Fiona A ChandraJohn C Doyle
Mar 9, 2010·PloS One·Ildefonso M De la FuenteAntonio Vera-López
Apr 5, 2013·PloS One·Ildefonso M De la FuenteJuan Veguillas
Oct 20, 2010·International Journal of Molecular Sciences·Ildefonso Martínez de la Fuente
Jan 30, 2013·Biophysical Chemistry·Jennifer LeveringSven Sahle
Jul 6, 2010·Mitochondrion·Rafael Moreno-SánchezHans V Westerhoff
Dec 26, 2001·Biophysical Journal·Karin A ReijengaJacky L Snoep
Jun 10, 2005·The FEBS Journal·Mads F MadsenPreben G Sørensen
Oct 11, 2003·FEMS Microbiology Reviews·Peter Richard
Feb 13, 2001·Biophysical Journal·K A ReijengaB Teusink
Apr 21, 2005·Physical Chemistry Chemical Physics : PCCP·Sune DanøPreben G Sørensen
May 8, 2007·Journal of Theoretical Biology·Evgeni V NikolaevMichael L Shuler
Sep 21, 2011·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Eva GehrmannKay Hamacher
Aug 11, 2020·Cancer Metastasis Reviews·Robert ClarkeYue Wang
Sep 22, 2011·Science Signaling·Eric A Sobie

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