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Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model

Abstract:

A framework for the analysis of stochastic models of chemical systems for which the deterministic mean-field description is undergoing a saddle-node infinite period (SNIPER) bifurcation is presented. Such a bifurcation occurs for example in the modelling of cell-cycle regulation. It is shown that the stochastic system possesses oscillatory solutions even for parameter values for which the mean-field model does not oscillate. The dependence of the mean period of these oscillations on the param...

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Publication status:
Published

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Publisher copy:
10.1137/080731360

Authors


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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Kevrekidis, IG More by this author
More by this author
Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Journal:
SIAM Journal of Applied Mathematics
Volume:
70
Issue:
3
Pages:
984-1016
Publication date:
2008-07-28
DOI:
EISSN:
1095-712X
ISSN:
0036-1399
URN:
uuid:03d715c0-5eac-4541-8b31-944dea4a7b86
Source identifiers:
9903
Local pid:
pubs:9903

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