Michaelis-Menten - The quest for small parameters

Abstract: There is a vast amount of literature on the classical Michaelis-Menten reaction network for an enzyme-catalyzed reaction, with a focus on reduction of dimension. The publications make evident that there exist different communities interested in this matter. The difference is manifest both in the type of questions asked and in the type of arguments found acceptable. From a mathematical perspective, the standard reductions can be traced back to singular perturbation theory, as first noted in the seminal paper by Heineken, Tsuchiya and Aris. Thus one obtains convergence results as some "small parameter" approaches zero. But from a practitioner's perspective, there remains a quest for stronger, quantitative results to be used in applications, and there is a variety of "small parameters" to be found in the literature. The talk aims at bridging (or at least narrowing) the gap between the communities from the mathematics side.

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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