Circuits of multistationarity in structured enzymatic networks

Abstract: In this work we focus on minimal sets of intermediate species and their location in the network to allow for multistationarity in the corresponding mass-action chemical reaction system. This question has also been studied in Feliu and Wiuf (2013) and also in Sadeghimanesh and Feliu (2019) using degree theory techniques. Our results simplify the analysis for chemical reaction systems with certain structure, called "linearly binomial networks" [Dickenstein, P.M., Shiu, Tang (2019)]. We apply our results on several signaling networks. We also refer to the problem of lifting of multistationarity, and we give easy combinatorial conditions for MESSI networks [P.M., Dickenstein (2018)] to be linearly binomial. This is joint work with Alicia Dickenstein, Magalí Giaroli and Rick Rischter.

algebraic 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!

The organizers.

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