Noise-Induced Breakdown of the Michaelis-Menten Equation in Steady-State Conditions

R. Grima
Phys. Rev. Lett. 102, 218103 – Published 29 May 2009

Abstract

The Michaelis-Menten (MM) equation is the basic equation of enzyme kinetics; it is also a basic building block of many models of biological systems. We build a stochastic and microscopic model of enzyme kinetics inside a small subcellular compartment. Using both theory and simulations, we show that intrinsic noise induces a breakdown of the MM equation even if steady-state metabolic conditions are enforced. In particular, we show that (i) given a reaction velocity, deterministic rate equations can severely underestimate steady-state intracellular substrate concentrations and (ii) different reaction schemes which on a macroscopic level are indistinguishable because they are described by the same MM equation obey distinctly different equations in subcellular compartments.

  • Figure
  • Received 17 December 2008

DOI:https://doi.org/10.1103/PhysRevLett.102.218103

©2009 American Physical Society

Authors & Affiliations

R. Grima

  • School of Biological Sciences, University of Edinburgh, Edinburgh, United Kingdom

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Vol. 102, Iss. 21 — 29 May 2009

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