Mathematical Analysis for a Class of Stochastic Copolymerization Processes

Abstract: In this talk, I want to present a rigorous mathematical framework for analyzing a class of stochastic copolymerization processes, where finitely many types of monomers attach and detach at the tip of a polymer chain. These dynamics are modeled as a continuous-time Markov chain on an infinite tree-like state space. The sharp criteria for transience, null recurrence, and positive recurrence in terms of the attachment and detachment rates will be established. In the transient regime, explicit formulas for the almost sure asymptotic composition of the polymer and its growth velocity are provided. We expect that the mathematical methods used and developed will also enable the study of even more complex models in the future.

chemical biologychemical kineticsalgebraic geometrydynamical systemsprobability

Audience: researchers in the topic

( video )

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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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