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Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model

Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model

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 modeling of cell-cycle regulation. It is shown that the stochastic system possesses oscillatory solutions even …