Computations On Toricity/Binomiality of Chemical Reaction Networks

Abstract: Chemical Reaction Networks (CRN) with Toric steady state varities (or binomial steady state ideals) are of high interest. In this talk, we summarizy several theoretical as well as computational results on toricity/binomiality of CRNs. We introduce the geometric concept of shifted toricity (in contrast to algebraic binomiality) and present experimental and theoretical results for detecting (shifted) toricity. We present a polynomial time algorithm for detecting binomiality of reversible CRNs. Finally, if time allows, we discuss some experiments on parametric toricity/binomiality using quantifier elimination and comprehensive Gr\"obner systems.

algebraic 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!

The organizers.

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