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Analysis of enzyme kinetics by using integrated rate equations. Arginine decarboxylase.

ABSTRACT: We have used an integrated rate equation to analyse the reaction catalysed by the inducible arginine decarboxylase from Escherichia coli B. The stoichiometry Arginine----agmatine + CO2 is the simplest of the multiple-substrate/multiple-product cases. Twenty-one time courses were carried out at various initial concentrations of arginine and agmatine, and were then fitted to the integrated equation by using appropriate analytical procedures. Values were obtained for six of the seven possible kinetic constants, corresponding to kcat, KArg, the terms for competitive inhibition by agmatine, by CO2 and by agmatine and CO2 together, and the term for uncompetitive inhibition by agmatine. The uncompetitive constant for CO2 was indeterminate. Our results indicate that it is both practical and experimentally economical to obtain kinetic constants from full time courses.

SUBMITTER: Cox TT

PROVIDER: S-EPMC1148082 | biostudies-other | 1987 Jul

REPOSITORIES: biostudies-other

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Project description:Methods are given whereby the steady-state kinetic characteristics of multienzyme reactions consisting of individual single-enzyme reactions linked by freely diffusible intermediates can be determined quantitatively from the experimentally determined complete algebraic rate equations for the individual reactions. The approach is based on the fact that a valid steady-state rate equation for such a multienzyme reaction, in terms of the rate equations for the individual reactions, can be obtained simply from knowledge of the relative rates of the individual reactions when the multienzyme reaction is in the steady state. A number of model multienzyme reactions, which differ as to structural arrangement of the individual reactions, are examined by this approach. Simple mathematical methods which are applicable to most of these models are given for direct calculation of dependent variables. It is either pointed out or demonstrated with Mathematica that the rate equations for all of these models can be handled very easily with the aid of a personal computer equipped with appropriate equation-solving software. Since the approach permits evaluation of all dependent variables for any specific combination of values for the kinetic parameters and independent variables, numerical values for the flux control coefficients of the individual enzymes can be obtained by direct calculation for a wide variety of conditions and can be compared with those obtained according to the methods of Metabolic Control Analysis. Several such comparisons have been made and in all cases identical results were obtained. The intuitive notion that the individual enzymes of a multienzyme reaction would be equally rate limiting if the total amount of enzyme were being used with maximum efficiency is tested and shown to be incorrect. In the course of this test the flux control coefficient for the individual enzymes were found to be appropriate indicators of relative rate limitation or control by the enzymes and to account properly for differences in specific activity among the enzymes.

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Analysis of enzyme kinetics by using integrated rate equations. Arginine decarboxylase.

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