Fluid Limit for a Stochastic Model of Enzymatic Processing with General Distributions

Abstract: In this talk, we consider a stochastic chemical reaction system arising as a model for enzymatic processing in a cell. This can also be thought of as a multi-server multiclass queue with reneging operating under the random order of service discipline. Stochastic primitives for the model such as production/interarrival times, processing/service times, and lifetimes are assumed 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 conditions and study the asymptotic behavior of fluid model solutions as time goes to infinity. This talk is based on joint work with Ruth Williams.

algebraic geometrydynamical systemsprobability

Audience: researchers in the topic

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Seminar on the Mathematics of Reaction Networks

Series comments: Subscription link: list.ku.dk/postorius/lists/morn.list.ku.dk/

This seminar series focuses on progress in mathematical theory for the study of reaction networks, mainly in biology and chemistry. The scope is broad and accommodates works arising from dynamical systems, stochastics, algebra, topology and beyond.

We aim at providing a common forum for sharing knowledge and encouraging discussion across subfields. In particular we aim at facilitating interactions between junior and established researchers. These considerations will be represented in the choice of invited speakers and we will strive to create an excellent, exciting and diverse schedule.

The seminar runs twice a month, typically on the 2nd and 4th Thursday of the month, at 17:00 Brussels time (observe that this webpage shows the schedule in your current time zone). Each session consists of two 25-minute talks followed by 5-minute questions. After the two talks, longer discussions will take place for those interested. To this end, we will use breakout rooms. For this to work well, you need to have the latest version of Zoom installed (version 5.3.0 or higher), and use the desktop client or mobile app (not supported on ChromeOS).

We look forward hearing about new work and meeting many of you over zoom! Many of the talks are recorded; to see the recording, from Past Talks, open details of the listed talk for a video link.

The organizers.

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