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SUMMARY:Stochastic travelling waves in bistable biochemical system: Numeri
 cal and mathematical analysis - Lipniacki\, T (Polish Academy of Sciences)
DTSTART:20120830T103000Z
DTEND:20120830T113000Z
UID:TALK39463@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:I will discuss stochastic transitions in a bistable biochemica
 l system of trans-activating molecules on a hexagonal lattice. Kinetic Mon
 te Carlo simulations demonstrated that the steady state of the system is c
 ontrolled by the diffusion\, and size of the reactor. In considered exampl
 e\, in small reactor the system remains inactive. In larger domain\, howev
 er\, the system activates spontaneously at some place of the reactor and t
 hen the activity wave propagates until whole domain becomes active. The ex
 pected time to\nactivation grows exponentially with the diffusion coeffici
 ent.\n\nI will interpret these results by analytical considerations of a s
 impler bistable system\, which evolution is equivalent to the one dimensio
 nal birth and death process.\n
LOCATION:Seminar Room 1\, Newton Institute
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