- 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...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1137/080731360
-
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- 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
- Keywords:
- Copyright date:
- 2008
- Notes:
- Submitted to SIAM Journal on Applied Mathematics
Journal article
Analysis of a stochastic chemical system close to a SNIPER bifurcation of its mean-field model
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