Splitting reactions preserves nondegenerate behaviours in chemical reaction networks

Abstract: Inheritance results attempt to answer the question: which enlargements of a chemical reaction network (CRN) preserve its capacity for interesting behaviours such as multistationarity or oscillation? What are the potential effects on the dynamics of a CRN of adding new reactions and/or species, or modifying reactions? Such results allow us to make claims about large networks based on their subnetworks. This talk will focus on a particular inheritance result: under mild assumptions, splitting reactions and inserting intermediate complexes preserves the capacity of a mass action CRN for nondegenerate multistationarity and oscillation. This allows us to claim, more generally, that introducing enzymatic mechanisms into mass action systems preserves their capacity for these behaviours. The main result is motivated by the fact that intermediates are often omitted from CRN models in biology, but the effects of leaving out intermediates are not always well understood.

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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