Detection of bistability in biochemical reaction networks: from mass action to arbitrary kinetics, and from deterministic to stochastic regimes

Abstract: In this talk, I will describe the mathematical conditions and algorithms that we have developed over the last decade (together with Antonio A. Alonso) for the detection of multistationarity and bistability in biochemical reaction networks: from a condition for multistationarity for biochemical reaction networks with mass action kinetics, to the most recent developments in bistability detection for networks of arbitrary kinetics. Our approach relies on concepts from Chemical Reaction Network Theory, Bifurcation Theory and Nonlinear Optimization. I will explain the relevance of bistability in the context of cell decision making, and how cell decisions and bistability are affected in the presence of molecular noise.

Moreover, I will illustrate the specific biological problems that we have solved in the context of systems and synthetic biology using tools for efficient bistability detection (like elucidating mechanisms responsible for differential signalling, or designing programmable genetic biosensors in bacteria).

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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