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Introducing logistic enzyme kinetics

M. V. PUTZ1,* , A. M. LACRĂMĂ2, V. OSTAFE2

Affiliation

  1. Laboratory of Computational and Structural Physical Chemistry, Chemistry Department, West University of Timişoara, Pestalozzi Street No.16, Timişoara, RO-300115, Romania
  2. Laboratory of Biochemistry, Chemistry Department, West University of Timişoara, Pestalozzi Street No.16, Timişoara, RO-300115, Romania

Abstract

For treatment of in vitro enzyme kinetics the Michaelis-Menten equation is generalized to a logistic form. From the new probabilistic viewpoint the classical Michaelis-Menten kinetic resembles the first order expansion of the logistic one with respect to the bound substrate concentration. The probabilistic approach has three advantages. First, it better describes the quasi steady state approximation of catalysis. Second, it substitutes a logistic analytical solution for the closed-form WLambert solution for the progress curves of the substrate decay or product formation, this way recovering the previously introduced ansatz by M. V. Putz, A.-M. Lacrămă and V. Ostafe Int. J. Mol. Sci. 7, 439 (2006). Finally, it provides an alternative time-dependent fitting curve for estimating kinetic parameters that replaces the earlier linear plot representation with a first order of time expansion..

Keywords

Michaelis-Menten equation, Logistic equation, Quasi steady-state approximation, Progress curves, Fitting equations.

Submitted at: Jan. 15, 2007
Accepted at: Sept. 18, 2007

Citation

M. V. PUTZ, A. M. LACRĂMĂ, V. OSTAFE, Introducing logistic enzyme kinetics, Journal of Optoelectronics and Advanced Materials Vol. 9, Iss. 9, pp. 2910-2916 (2007)