Communication: Limitations of the stochastic quasi-steady-state approximation in open biochemical reaction networks
Author(s)
Thomas, P
Straube, AV
Grima, R
Type
Journal Article
Abstract
It is commonly believed that, whenever timescale separation holds, the predictions of reduced chemical master equations obtained using the stochastic quasi-steady-state approximation are in very good agreement with the predictions of the full master equations. We use the linear noise approximation to obtain a simple formula for the relative error between the predictions of the two master equations for the Michaelis-Menten reaction with substrate input. The reduced approach is predicted to overestimate the variance of the substrate concentration fluctuations by as much as 30%. The theoretical results are validated by stochastic simulations using experimental parameter values for enzymes involved in proteolysis, gluconeogenesis, and fermentation.
Date Issued
2011-11-14
Date Acceptance
2011-10-25
Citation
Journal of Chemical Physics, 2011, 135 (18)
ISSN
1089-7690
Publisher
AIP Publishing
Journal / Book Title
Journal of Chemical Physics
Volume
135
Issue
18
Replaces
10044/1/40994
Copyright Statement
© 2011 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in Journal of Chemical Physics and may be found at http://dx.doi.org/10.1063/1.3661156
Subjects
Computer Simulation
Enzymes
Stochastic Processes
Chemical Physics
02 Physical Sciences
03 Chemical Sciences
09 Engineering
Publication Status
Published
Article Number
181103