PMID: 8942176Nov 1, 1996Paper

How to derive flux control coefficients from the rate equations of classical enzyme kinetics

Mathematical Biosciences
J Südi

Abstract

A recent report by Brown and Cooper demonstrated the usefulness of calculating "flux control coefficients" for each of the rate constants involved in the assumed kinetic mechanism of a single enzyme. The calculations of Brown and Cooper involved numerical differentiation. The present article substantiates this report by showing that the numerical results of Brown and Cooper can also be obtained in an explicit form. The analytical equations given establish the relationship between rigorously specified overall rate processes and "elementary rate constants," both being defined by the rate equations of classical enzyme kinetics. It is shown that analytical flux control coefficients can be obtained for all types of rate processes considered in classical enzyme kinetics, including, "initial rates," equilibrium exchange reactions, and reactions at limiting levels of substrate (and/or product) saturation. By restricting the discussion to strictly consecutive (ordered, unbranched, linear) mechanisms, the line of reasoning can be presented in a relatively simple form. The main conclusions are the following: (a) It is advantageous to carry out the analysis in terms of paired (conjugated) control coefficients. (b) Flux control analysis of ...Continue Reading

References

May 15, 1992·European Journal of Biochemistry·G Pettersson
Jan 1, 1984·Bioscience Reports·H V WesterhoffR J Wanders
Oct 25, 1995·Biochimica Et Biophysica Acta·J S Lolkema
Oct 19, 1994·Biochimica Et Biophysica Acta·B N Kholodenko, H V Westerhoff
Jun 24, 1993·Biochimica Et Biophysica Acta·G Pettersson
Jun 1, 1962·Canadian Journal of Biochemistry and Physiology·J T WONG, C S HANES

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