Skip to main content
PMC home page
Biochemical Journal logoLink to Biochemical Journal
. 1973 Dec;135(4):779–784. doi: 10.1042/bj1350779

The reliability of Michaelis constants and maximum velocities estimated by using the integrated Michaelis–Menten equation

Gordon L Atkins 1, Ian A Nimmo 1
PMCID: PMC1165894  PMID: 4778274

Abstract

1. Experimental progress curves were simulated for a reaction obeying Michaelis–Menten kinetics. 2. Km and V were estimated (a) by fitting the integrated Michaelis–Menten equation to the progress curves, and (b) from the initial slopes of the curves (i.e. from initial velocities). 3. The integrated equation could not be fitted successfully by a non-linear method, so it was transformed and fitted by a linear method. 4. Provided that the initial substrate concentration was greater than Km and the data were precise enough, the integrated equation gave parameter estimates which were unbiased and as reliable as those derived from initial velocities although based on fewer experiments. 5. The integrated equation could be used for progress curves of unknown origin.

Full text

PDF
782

Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Atkins G. L. A simple digital-computer program for estimating the parameters of the hill equation. Eur J Biochem. 1973 Feb 15;33(1):175–180. doi: 10.1111/j.1432-1033.1973.tb02667.x. [DOI] [PubMed] [Google Scholar]
  2. Atkins G. L. A versatile digital computer program for non-linear regression analysis. Biochim Biophys Acta. 1971 Dec 21;252(3):405–420. doi: 10.1016/0304-4165(71)90142-5. [DOI] [PubMed] [Google Scholar]
  3. Bliss C. I., James A. T. Fitting the rectangular hyperbola. Biometrics. 1966 Sep;22(3):573–602. [PubMed] [Google Scholar]
  4. Fisher R. B., Nimmo I. A. The mechanism of the permeation of cells by non-electrolytes. Q J Exp Physiol Cogn Med Sci. 1972 Apr;57(2):162–175. doi: 10.1113/expphysiol.1972.sp002146. [DOI] [PubMed] [Google Scholar]
  5. Schwert G. W. Use of integrated rate equations in estimating the kinetic constants of enzyme-catalyzed reactions. J Biol Chem. 1969 Mar 10;244(5):1278–1284. [PubMed] [Google Scholar]
  6. Selwyn M. J. A simple test for inactivation of an enzyme during assay. Biochim Biophys Acta. 1965 Jul 29;105(1):193–195. doi: 10.1016/s0926-6593(65)80190-4. [DOI] [PubMed] [Google Scholar]
  7. WILKINSON G. N. Statistical estimations in enzyme kinetics. Biochem J. 1961 Aug;80:324–332. doi: 10.1042/bj0800324. [DOI] [PMC free article] [PubMed] [Google Scholar]

Articles from Biochemical Journal are provided here courtesy of The Biochemical Society

RESOURCES