Sensitivity of dynamics in Autocatalytic Reaction Networks of Togashi-Kaneko type

Abstract: The Togashi–Kaneko (TK) model is a prototypical example of an auto- catalytic reaction network exhibiting dramatic switching behavior that is a result of the stochastic dynamics at small volumes. I will present a study of the TK model with additional mutations, using a stochastic averaging principle to make use of the multi-scale feature of its dynamics. I will demonstrate a sensitivity of the model to even slight departures from symmetry in the autocatalytic reactions, using a detailed analysis of the stationary distribution of the fast process when the state of the slow process is fixed. This is joint work with Yi Fu, HyeWon Kang, Wasiur Khudabukhsh, Greg Rempala and Ruth Williams.

chemical biologychemical kineticsalgebraic geometrydynamical systemsprobability

Audience: researchers in the topic

( video )

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Seminar on the Mathematics of Reaction Networks

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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.

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