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
SN - 1539-3755
VL - 86
JO - Physical Review E
JF - Physical Review E
IS - 1
M1 - 010106(R)
ER -