Adding Sequestered Catalysts to Stable or Unstable Linear Stochastic CRNs

Abstract: Computing the stability (that is, positive recurrence or transience) of stochastic mass-action CRNs can be challenging. One way this challenge manifests is the fact that in general, a reaction network can have very different qualitative stability behavior depending on whether it is modeled using deterministic or stochastic mass-action kinetics. One special case where the stability behavior *cannot* differ is that of linear models with "non-borderline" stability, where stability for the ODE model can be understood from straightforward linear algebra computations, and automatically carries over to the stochastic model. However, purely linear models are rare in applications, which often involve some sort of catalysis. In this talk, we discuss specific circumstances under which one can add higher-order catalyzed reactions to a stochastic CRN while still preserving stability.

Based on joint work with Daniele Cappelletti.

chemical biologychemical kineticsalgebraic geometrydynamical systemsprobability

Audience: researchers in the topic

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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 approximately every other week on Thursdays, 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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