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At least 37 records · Page 2Linked to original sources
PubMed1976

A propagation of error analysis of the enzyme activity expression. A model for determining the total system random error of a kinetic enzyme analyzer.

We present a total system error evaluation of random error, based on a propagation of error analysis of the expression for the calculation of enzyme activity. A simple expression is derived that contains terms for photometric error, timing uncertainty, temperature-control error, sample and reagent volume errors, and pathlength error. This error expression was developed in general to provide a simple means of evaluating the magnitude of random error in an analytical system and in particular to provide an error evaluation protocol for the assessment of the error components in a prototype Miniature Centrifugal Analyzer system. Individual system components of error are measured. These measured error components are combined in the error expressiion to predict performance. Enzyme activity measurements are made to correlate with the projected error data. In conclusion, it is demonstrated that this is one method for permitting the clinical chemist and the instrument manufacturer to establish reasonable error limits.

Aspartate Aminotransferases↗
PubMed1977

Theoretical study of the effect of enzyme-enzyme interactions on steady-state enzyme kinetics.

Equilibrium statistical mechanics is much concerned with problems involving intermolecularinteractions, either in lattices or in pure fluids or solutions. The possibility of enzyme-enzyme interactions suggests that the same problems might be studied profitably at steady state as well as at equilibrium. In the systems we consider, each of the identical enzyme molecules of the system undergoes steady-state stochastic cycling among states i equal 1,....,n. But the molecules do not cycle independently. Two neghboring molecules, in states i and j, interact with a free energy wij (a function of the distance r in the solution case). The instantaneous transition probabilities between states for a given molecule will depend on the instantaneous interactions between the molecule in question and its neighbors. The primary question of interest is how the enzyme flux is influenced by the interactions. The general problem is outlined here and some simple special cases are treated. The discussion will be continued in a following paper [Hill, T. L. (1977) Proc. Natl. Acad. Sci. USA 74, in press]

Enzymes↗
PubMed1978

[Determination of enzyme kinetic parameters and differentiation between various mechanisms by means of a non-linear least squares method].

The effect produced by an inhibitor on an enzyme is characterized by the underlying mechanism and the molar inhibition coefficients Ki and Ki', respectively. The commonly used graphical estimation methods according to Lineweaver-Burk, Dixon and Cornish-Bowden do not always yield a differentiation between various possible mechanisms. According to our experience, a non-linear least-squares procedure allows a unique identification of the mechanism even in cases that are not at all, or not uniquely, solvable by graphical methods. The major advantages of this procedures and the used FORTRAN program are: 1. Fitting of the model equation itself-and not of a reciprocal conditional form-simultaneously to all measurements; 2. confidence limits for the parameter estimates; 3. residual plots to judge the goodness of fit; 4. parallel calculations and comparison of various mechanisms using the same set of data; 5. addition of further mechanisms as FORTRAN-subroutines.

Binding, Competitive↗
PubMed1976

A method for analyzing enzyme kinetics with substrate activation and inhibition and its application to the alpha-chymotrypsin-catalyzed hydrolysis of phenyl acetates.

A general kinetic method was developed to analyze enzyme-catalyzed systems complicated by the presence of activation or inhibition by substrate. The method was applied to the alpha-chymotrypsin [EC 3.4.21.1]-catalyzed hydrolysis of p-chlorophenyl and p-methoxyphenyl acetates. Deacylation rate constants which were not complicated by substrate activation were obtained. The analysis shows that the abnormal substituent dependence of kcat in the steady state hydrolysis is due not to substrate activation but to inappropriateness of the two-step mechanism or the existence of more than one acetyl-enzyme intermediate.

Chymotrypsin↗
PubMed1978

Unsymmetrical and concerted examples of the effect of enzyme--enzyme interactions on steady-state enzyme kinetics.

In previous papers of this series, emphasis has been placed on the steady-state phase transition and critical properties of large lattices of interacting, symmetrical, and identical enzyme molecules. The present paper is concerned with a number of examples of enzyme--enzyme interactions that do not belong to the class of models of the earlier papers. These are more biochemically oriented and include heterologous dimers, a linear chain with unsymmetrical interactions, and concerted isologous dimers (half-the-sites reactivity).

Catalysis↗
PubMed1978

Progress curve analysis in enzyme kinetics: model discrimination and parameter estimation.

The method of progress curve analysis for enzyme-catalyzed reactions (Duggleby, R.G. and Morrison, J.F. (1977) Biochim. Biophys. acta 481, 297--312) has been extended to a two substrate, reversible reaction through the use of enzyme-catalyzed recycling of one of the products. The reaction investigated was that catalyzed by aspartate aminotransferase (L-aspartate:2-oxoglutarate aminotransferase, EC 2.6.1.1) and the product, alpha-ketoglutarate was recycled to glutamate using NADH and NH4Cl in the presence of glutamate dehydrogenase. The values determined for the kinetic parameters of the aminotransferase were found to agree well with those obtained from steady-state velocity measurements. The standard errors of the parameters, as calculated by the procedure originally described, were found to underestimate the observed variation between different experiments. Therefore, a procedure of data compression was devised which leads to more realistic values for standard errors. The compressed data obtained with aspartate aminotransferase have been fitted to the integrated rate equations that describe a variety of kinetic mechanisms. The best fit was obtained with the Ping-Pong model which is applicable to the aspartate aminotransferase reaction. Thus, progress curve analysis may be used to determine the kinetic mechanism of, and values of the kinetic parameters associated with, an enyzme-catalyzed reaction.

Aspartate Aminotransferases↗