Independent decompositions of chemical reaction networks and parametrization of positive steady states of chemical reaction systems

Abstract: A chemical reaction network (CRN) is composed of reactions that can be seen as interactions among its units called species. Endowed with kinetics, the chemical reaction system (CRN with kinetics) has an associated set of ordinary differential equations (ODEs) that models the dynamics of the system. In chemical reaction network theory, we are interested in connections between the CRN and the properties of the associated ODEs. In this talk, we discuss decompositions of CRNs into independent subnetworks and how it can be used for parametrization of positive steady states of mass-action systems, especially for those with complex underlying networks. To facilitate the discussion, we demonstrate examples to show how to efficiently get independent decompositions and steady state parametrizations using MATLAB. Independent decompositions could also be used to parametrize positive steady states of non-mass-action systems with considerable independent subnetworks.

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! 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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