Abstract
A different approach to enzyme kinetics stressing the cyclic nature of the catalytic process is presented. The time-dependence of the substrate concentration is derived in a simple way not invoking the quasi-steady-state approximation. According to this approach the turnover rate can be written as the ratio of two parameters with a direct meaning: enzyme efficiency and average cycle duration. Real kinetic data for two enzyme-substrate pairs is used to show that the enzyme kinetic efficiency is best measured by the turnover rate.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Moore J.W., Pearson R.G.: Kinetics and Mechanism, 3rd edn. Wiley, New York (1980)
Schulz A.R.: Enzyme Kinetics. Cambridge University Press, Cambridge (1994)
Berberan-Santos M.N.: MATCH Commun. Math. Comput. Chem. 63, 283 (2010)
Schnell S., Mendoza C.: J. Theor. Biol. 187, 207 (1997)
Tzafriri A.R.: Bull. Math. Biol. 65, 1111 (2003)
Schnell S., Maini P.K.: Comm. Theor. Biol. 8, 169 (2003)
Li B., Shen Y., Li B.: J. Phys. Chem. A 112, 2311 (2008)
Baleizão C., Berberan-Santos M.N.: ChemPhysChem 10, 199 (2009)
Stroppolo M.E., Falconi M., Caccuri A.M., Desideri A.: Cell. Mol. Life Sci. 58, 1451 (2001)
Fernley H.N.: Eur. J. Biochem. 43, 377 (1974)
Berberan-Santos M.N.: MATCH Commun. Math. Comput. Chem. 63, 603 (2010)
Gutfreund H.: Kinetics for the Life Sciences. Cambridge University Press, Cambridge (1998)
Jennings R.J., Niemann C.: J. Am. Chem. Soc. 77, 5432 (1953)
Rae M., Berberan-Santos M.N.: Chem. Phys. 280, 283 (2002)
English B.P., Min W., van Oijen A.M., Lee K.T., Luo G., Sun H., Cherayil B.J., Kou S.C., Xie X.S.: Nat. Chem. Biol. 2, 87 (2006)
Tzafriri A.R., Edelman E.R.: J. Theor. Biol. 245, 737 (2007)
Chance B.: J. Biol. Chem. 151, 553 (1943)
Henri V.: Lois Générales de l’Action des Diastases. Hermann, Paris (1903)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Baleizão, C., Berberan-Santos, M.N. Enzyme kinetics with a twist. J Math Chem 49, 1949–1960 (2011). https://doi.org/10.1007/s10910-011-9868-6
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10910-011-9868-6