Translator Disclaimer
April 2013 Separation of time-scales and model reduction for stochastic reaction networks
Hye-Won Kang, Thomas G. Kurtz
Ann. Appl. Probab. 23(2): 529-583 (April 2013). DOI: 10.1214/12-AAP841

Abstract

A stochastic model for a chemical reaction network is embedded in a one-parameter family of models with species numbers and rate constants scaled by powers of the parameter. A systematic approach is developed for determining appropriate choices of the exponents that can be applied to large complex networks. When the scaling implies subnetworks have different time-scales, the subnetworks can be approximated separately, providing insight into the behavior of the full network through the analysis of these lower-dimensional approximations.

Citation

Download Citation

Hye-Won Kang. Thomas G. Kurtz. "Separation of time-scales and model reduction for stochastic reaction networks." Ann. Appl. Probab. 23 (2) 529 - 583, April 2013. https://doi.org/10.1214/12-AAP841

Information

Published: April 2013
First available in Project Euclid: 12 February 2013

zbMATH: 1377.60076
MathSciNet: MR3059268
Digital Object Identifier: 10.1214/12-AAP841

Subjects:
Primary: 60F17, 60J27, 60J80, 80A30, 92C45

Rights: Copyright © 2013 Institute of Mathematical Statistics

JOURNAL ARTICLE
55 PAGES


SHARE
Vol.23 • No. 2 • April 2013
Back to Top