Abstract
An alternative method for deriving rate equations in enzyme kinetics is presented. An enzyme is followed as it moves along the various pathways allowed by the reaction scheme. The times spent in various sections of the scheme and the pathway probabilities are computed, using simple rules. The rate equation obtains as a function of times and probabilities. The results are equivalent to those provided by the steady-state formalism. While the latter applies uniformly to all schemes, the formalism presented here requires adaptation to each additional class of schemes. However, it has the merit of allowing one to leave unspecified many details of the scheme, including topological ones. Furthermore, it allows one to decompose a scheme into subschemes, analyze the parts separately, and use the intermediate results to derive the rate equation of the complete scheme. The method is applied here to derive general equations for one- and two-entry site enzymes.
Full text
PDF
Selected References
These references are in PubMed. This may not be the complete list of references from this article.
- BARTHOLOMAY A. F. A stochastic approach to statistical kinetics with application to enzyme kinetics. Biochemistry. 1962 Mar;1:223–230. doi: 10.1021/bi00908a005. [DOI] [PubMed] [Google Scholar]
- Briggs G. E., Haldane J. B. A Note on the Kinetics of Enzyme Action. Biochem J. 1925;19(2):338–339. doi: 10.1042/bj0190338. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Britton H. G., Dann L. G. Use of flux ratio measurements for the determination of the order of addition of substrates and products in enzyme reactions. Biochem J. 1978 Jan 1;169(1):29–37. doi: 10.1042/bj1690029. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Ninio J. Fine tuning of ribosomal accuracy. FEBS Lett. 1986 Feb 3;196(1):1–4. doi: 10.1016/0014-5793(86)80202-2. [DOI] [PubMed] [Google Scholar]
- Ninio J. Kinetic amplification of enzyme discrimination. Biochimie. 1975;57(5):587–595. doi: 10.1016/s0300-9084(75)80139-8. [DOI] [PubMed] [Google Scholar]
- WONG J. T., HANES C. S. Kinetic formulations for enzymic reactions involving two substrates. Can J Biochem Physiol. 1962 Jun;40:763–804. [PubMed] [Google Scholar]