Bistable stochastic biochemical networks: large chemical networks and systems with many molecules. (English) Zbl 1320.92040
Summary: In this paper we continue the program started in [the authors, ibid. 51, No. 5, 1343–1375 (2013; Zbl 1320.92043)]. We describe some chemical systems exhibiting bistable behavior with reaction constants of order one, but where bistability is due to the presence of a large number of chemical species or a large number of molecules of some of the species. We derive generalizations of the classical Kramers’ formula that gives the switching times for some particular systems exhibiting a large number of species.
Citations:
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