Abstract
Current methods for fitting integrated rate equations to enzyme progress curves treat each observation as if it were an independent measurement. When the data are obtained by taking several successive readings from each of a series of progress curves, the data will not be truly independent and will exhibit autocorrelation. Here we propose a simple pragmatic extension of integrated rate equations which takes account of first-order autocorrelations. The value of the method is assessed when applied to five sets of experimental data.
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Selected References
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- Atkins G. L., Nimmo I. A. The reliability of Michaelis constants and maximum velocities estimated by using the integrated Michaelis-Menten equation. Biochem J. 1973 Dec;135(4):779–784. doi: 10.1042/bj1350779. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Boeker E. A. Analytical methods for fitting integrated rate equations. A discontinuous assay. Biochem J. 1987 Jul 1;245(1):67–74. doi: 10.1042/bj2450067. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Darvey I. G., Shrager R., Kohn L. D. Integrated steady state rate equations and the determination of individual rate constants. J Biol Chem. 1975 Jun 25;250(12):4696–4701. [PubMed] [Google Scholar]
- Duggleby R. G., Morrison J. F. Progress curve analysis in enzyme kinetics: model discrimination and parameter estimation. Biochim Biophys Acta. 1978 Oct 12;526(2):398–409. doi: 10.1016/0005-2744(78)90131-6. [DOI] [PubMed] [Google Scholar]
- Duggleby R. G., Morrison J. F. The analysis of progress curves for enzyme-catalysed reactions by non-linear regression. Biochim Biophys Acta. 1977 Apr 12;481(2):297–312. doi: 10.1016/0005-2744(77)90264-9. [DOI] [PubMed] [Google Scholar]
- Duggleby R. G. Progress-curve analysis in enzyme kinetics. Numerical solution of integrated rate equations. Biochem J. 1986 Apr 15;235(2):613–615. doi: 10.1042/bj2350613. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Fernley H. N. Statistical estimations in enzyme kinetics. The integrated Michaelis equation. Eur J Biochem. 1974 Apr 1;43(2):377–378. doi: 10.1111/j.1432-1033.1974.tb03423.x. [DOI] [PubMed] [Google Scholar]
- Kellershohn N., Laurent M. Analysis of progress curves for a highly concentrated Michaelian enzyme in the presence or absence of product inhibition. Biochem J. 1985 Oct 1;231(1):65–74. doi: 10.1042/bj2310065. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Markus M., Plesser T., Kohlmeier M. Analysis of progress curves in enzyme kinetics: bias and convergent set in the differential and in the integral method. J Biochem Biophys Methods. 1981 Feb;4(2):81–90. doi: 10.1016/0165-022x(81)90021-x. [DOI] [PubMed] [Google Scholar]
- Newman P. F., Atkins G. L., Nimmo I. A. The effect of systematic error on the accuracy of Michaelis constants and maximum velocities estimated by using the integrated Michaelis-Menten equation. Biochem J. 1974 Dec;143(3):779–781. doi: 10.1042/bj1430779. [DOI] [PMC free article] [PubMed] [Google Scholar]