Combinatorial and algebraic approaches to chemical reaction networks :: Home

Some financial support is available for UK-based graduate students wishing to attend the workshop.

In this workshop we will take an in-depth look at some recent results in chemical reaction network theory (CRNT), namely on dynamical systems arising from the study of chemical reactions. Implicit in the term chemical reaction networks (CRNs) is the fact that these systems have natural combinatorial structures which to some extent determine the allowed dynamics of a network.

While this work dates back at least four decades, there are an increasing number of recent results on CRNs which infer dynamical behaviours from primarily geometric/topological characteristics of networks, with more or less general assumptions about the reaction rates. Such results have, for example, answered open questions about stability of equilibria, multistationarity, oscillation, persistence, and identifiability.

The goal of these strands of work is to extract, where possible, principles which are applicable to wide classes of networks. The aim for generality brings into play techniques from a variety of areas of mathematics, and can lead to fruitful interaction between pure and applied mathematicians. Sometimes a single claim may require approaches from algebra, geometry and analysis. Often the claims are amenable to algorithmic implementation.

During the workshop we hope to clarify and collate recent results in CRNT (sometimes results which make subtly different assumptions); identify the most important open questions in this area getting a clear idea of their difficulty; and create an outline programme for the solution of some of these.

The workshop will have a loose format, allowing plenty of time for discussion. If you have an interest in this area and would like to attend, please get in touch (details on the contact page). You do not have to be an expert!