Model reduction of multi-scale chemical Langevin equations

Marie Nathalie Contou-Carrere, Vassilios Sotiropoulos, Yiannis N. Kaznessis, Prodromos Daoutidis

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

Abstract

This paper addresses the model reduction problem for a class of stiff chemical Langevin equations that arise as models of biomolecular networks with fast and slow reactions and can be described as continuous Markov processes. Initially, a coordinate transformation is sought that allows the decoupling of fast and slow variables in the model equations. Necessary and sufficient conditions are derived for such a linear transformation to exist, along with an explicit change of variables which achieves the desired decoupling. For the systems for which this step is applicable, the method of adiabatic elimination is applied to determine a representation of the slow dynamics. Theoretical concepts and results are illustrated with simple examples.

Original languageEnglish (US)
Pages (from-to)75-86
Number of pages12
JournalSystems and Control Letters
Volume60
Issue number1
DOIs
StatePublished - Jan 2011

Bibliographical note

Copyright:
Copyright 2011 Elsevier B.V., All rights reserved.

Keywords

  • Chemical Langevin equations
  • Model reduction
  • Multiple time scales
  • Singular perturbations
  • Stochastic differential equations

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