Rigorous elimination of fast stochastic variables from the linear noise approximation using projection operators

Philipp Thomas, Ramon Grima, Arthur V. Straube

Research output: Contribution to journalArticlepeer-review

Abstract

The linear noise approximation (LNA) offers a simple means by which one can study intrinsic noise in monostable biochemical networks. Using simple physical arguments, we have recently introduced the slow-scale LNA (ssLNA), which is a reduced version of the LNA under conditions of timescale separation. In this paper we present the first rigorous derivation of the ssLNA using the projection operator technique and show that the ssLNA follows uniquely from the standard LNA under the same conditions of timescale separation as those required for the deterministic quasi-steady-state approximation. We also show that the large molecule number limit of several common stochastic model reduction techniques under timescale separation conditions constitutes a special case of the ssLNA.
Original languageEnglish
Article number041110
Pages (from-to)-
Number of pages9
JournalPhysical Review E - Statistical, Nonlinear and Soft Matter Physics
Volume86
Issue number4
DOIs
Publication statusPublished - 8 Oct 2012

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