New results on the (dis)connectivity of the parameter region of multistationarity

Abstract: Despite recent developments, describing the set of parameters that enable multistationarity in a reaction network is a challenging problem. Under certain assumptions on the network, one can associate a critical polynomial to the network that gives information about multistationarity. Especially, if the preimage of the negative real line under the critical polynomial is connected then the parameter region of multistationarity is connected. In the first part of the talk, I will present several new sufficient conditions on the critical polynomial that imply connectivity. I will give several examples of reaction networks where our algorithm can be applied. In particular, we show that the parameter region of multistationarity of the sequential and distributive phosphorylation cycle with up to seven binding sites is connected. In the second part, I will discuss a reaction network whose parameter region of multistationarity is not connected.

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! 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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