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SUMMARY:Eva Loeser (University of California San Diego)
DTSTART:20240222T163000Z
DTEND:20240222T170000Z
DTSTAMP:20260421T124058Z
UID:MoRN/90
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MoRN/90/">Fl
 uid Limit for a Stochastic Model of Enzymatic Processing with General Dist
 ributions</a>\nby Eva Loeser (University of California San Diego) as part 
 of Seminar on the Mathematics of Reaction Networks\n\n\nAbstract\nIn this 
 talk\, we consider a stochastic chemical reaction system arising as a mode
 l for enzymatic processing in a cell. This can also be thought of as a mul
 ti-server multiclass queue with reneging operating under the random order 
 of service discipline. Stochastic primitives for the model such as product
 ion/interarrival times\, processing/service times\, and lifetimes are assu
 med to be generally distributed. We establish a fluid limit for a measure-
 valued process that keeps track of the remaining lifetime for each entity 
 in the system. We prove uniqueness for fluid model solutions under mild co
 nditions and study the asymptotic behavior of fluid model solutions as tim
 e goes to infinity. This talk is based on joint work with Ruth Williams.\n
LOCATION:https://researchseminars.org/talk/MoRN/90/
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