Chemical Reaction Networks with Time Delays

Maya Mincheva (Northern Illinois University)

13-Oct-2022, 15:00-15:30 (18 months ago)

Abstract: Delay mass-action systems provide a model of chemical kinetics in which past states influence the current dynamics. In this work, we obtain a graph-theoretic condition for $\mathit{delay\,stability}$ which is linear stability independent of rate constants and delay parameters. The graph-theoretic condition involves cycles in the $\mathit{directed\,species}$-$\mathit{reaction\,graph}$ of the network, which encodes how different species in the system interact. Several interesting examples on sequestration networks with delays are presented.

This is a joint work with George Craciun, Casian Pantea and Polly Yu.

algebraic geometrydynamical systems

Audience: researchers in the topic

( video )


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!

The organizers.

Organizers: Daniele Cappelletti*, Stefan Müller*, Tung Nguyen*, Polly Yu*
*contact for this listing

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