Noise-induced metastability in biochemical networks

Tommaso Biancalani, Tim Rogers, Alan J. McKane

Research output: Contribution to journalArticle

19 Citations (Scopus)

Abstract

Intra-cellular biochemical reactions exhibit a rich dynamical phenomenology which cannot be explained within the framework of mean-field rate equations and additive noise. Here, we show that the presence of metastable states and radically different timescales are general features of a broad class of autocatalyic reaction networks, and moreover, that this fact may be exploited to gain analytical results. The latter point is demonstrated by a treatment of the paradigmatic Togashi-Kaneko reaction, which has resisted theoretical analysis for the last decade.
Original languageEnglish
Article number010106(R)
Number of pages4
JournalPhysical Review E
Volume86
Issue number1
DOIs
Publication statusPublished - 2012

Fingerprint

Biochemical Networks
Metastability
metastable state
Mean Field Equation
Reaction Network
Metastable States
Rate Equations
Phenomenology
Additive Noise
Theoretical Analysis
Time Scales
phenomenology
Framework
Class

Cite this

Noise-induced metastability in biochemical networks. / Biancalani, Tommaso; Rogers, Tim; McKane, Alan J. .

In: Physical Review E, Vol. 86, No. 1, 010106(R), 2012.

Research output: Contribution to journalArticle

Biancalani, Tommaso ; Rogers, Tim ; McKane, Alan J. . / Noise-induced metastability in biochemical networks. In: Physical Review E. 2012 ; Vol. 86, No. 1.
@article{aeadff6a8235444db49d8ca76a04899b,
title = "Noise-induced metastability in biochemical networks",
abstract = "Intra-cellular biochemical reactions exhibit a rich dynamical phenomenology which cannot be explained within the framework of mean-field rate equations and additive noise. Here, we show that the presence of metastable states and radically different timescales are general features of a broad class of autocatalyic reaction networks, and moreover, that this fact may be exploited to gain analytical results. The latter point is demonstrated by a treatment of the paradigmatic Togashi-Kaneko reaction, which has resisted theoretical analysis for the last decade.",
author = "Tommaso Biancalani and Tim Rogers and McKane, {Alan J.}",
year = "2012",
doi = "10.1103/PhysRevE.86.010106",
language = "English",
volume = "86",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "American Physical Society",
number = "1",

}

TY - JOUR

T1 - Noise-induced metastability in biochemical networks

AU - Biancalani, Tommaso

AU - Rogers, Tim

AU - McKane, Alan J.

PY - 2012

Y1 - 2012

N2 - Intra-cellular biochemical reactions exhibit a rich dynamical phenomenology which cannot be explained within the framework of mean-field rate equations and additive noise. Here, we show that the presence of metastable states and radically different timescales are general features of a broad class of autocatalyic reaction networks, and moreover, that this fact may be exploited to gain analytical results. The latter point is demonstrated by a treatment of the paradigmatic Togashi-Kaneko reaction, which has resisted theoretical analysis for the last decade.

AB - Intra-cellular biochemical reactions exhibit a rich dynamical phenomenology which cannot be explained within the framework of mean-field rate equations and additive noise. Here, we show that the presence of metastable states and radically different timescales are general features of a broad class of autocatalyic reaction networks, and moreover, that this fact may be exploited to gain analytical results. The latter point is demonstrated by a treatment of the paradigmatic Togashi-Kaneko reaction, which has resisted theoretical analysis for the last decade.

UR - http://www.scopus.com/inward/record.url?scp=84864774581&partnerID=8YFLogxK

UR - http://dx.doi.org/10.1103/PhysRevE.86.010106

UR - http://arxiv.org/abs/1204.4341

U2 - 10.1103/PhysRevE.86.010106

DO - 10.1103/PhysRevE.86.010106

M3 - Article

VL - 86

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 1

M1 - 010106(R)

ER -