Dynamic Absolute Concentration Robustness

Abstract: Output or functional robustness in biochemical systems has been experimentally observed in the IDHKP-IDH glyoxylate bypass regulation system and the EnvZ/OmpR system in E. coli. To model output robustness, we define the notion of dynamic absolute concentration robustness (dynamic ACR) in systems of ODEs. A species in a biochemical reaction network has dynamic ACR if its concentration converges to the same positive value irrespective of overall initial conditions. Dynamic ACR builds on the notion of static ACR wherein the concentration of a species has the same value in any positive steady state. We will define stronger and weaker forms of both static and dynamic ACR along with various naturally occurring domains/basins for each. We will give a complete classification of small networks, using both algebraic and topological characterization, by their static ACR, strong static ACR, dynamic ACR, and weak dynamic ACR properties.

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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