Weakly reversible deficiency zero realizations of polynomial ODE systems with parameters

Abstract: Weakly reversible deficiency zero (WR0) mass-action systems are known to have remarkably stable dynamics, with a unique positive asymptotically stable steady state in each compatibility class.  Suppose we have an ODE polynomial system whose coefficients depend affinely on a set of parameters (for example, mass-action systems). We present an algorithm which outputs the region of parameters where our ODE system is identical with that of a weakly reversible, deficiency zero mass-action system, whose nice dynamical properties it inherits. The algorithm is based on computations on polyhedra, and was developed in polymake.  This is joint work with Neal Buxton (WVU).

chemical biologychemical kineticsalgebraic geometrydynamical systemsprobability

Audience: researchers in the topic

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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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