Structural Bifurcation Analysis of Chemical Reaction Networks

Abstract: This talk is part of a series on the structural analysis of chemical reaction networks. In the first talk presented by Prof. Mochizuki, we introduced special subnetworks known as buffering structures (BSs), defined by specific topological conditions. A BS has the property of confining the effect of a parameter perturbation on steady-state concentrations and fluxes within it. In this talk, we present another role of BSs, namely, confinement of steady-state bifurcation behaviors. Specifically, when a bifurcation occurs, there must be a particular subnetwork that destabilizes the system. It can be shown that such a subnetwork must be either a BS or the complement of a BS. Furthermore, depending on which part of the network destabilizes, we can identify which parameters can trigger the bifurcation and which part of the network exhibits bifurcating behavior. Our results are based on the network’s structural properties and suggest that certain biological functions may emerge as a direct consequence of network topology.

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! 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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