Event Details

MARS seminar series. Speaker: Murad Banaji (Lancaster) Title: Chemical reaction network theory: an overview of some recent results

Abstract: Understanding the behaviour of dynamical systems arising from chemical reaction networks (CRNs) is crucial in several domains, including mathematical biology and chemical engineering. Studying CRNs raises interesting and challenging questions about how the combinatorial structure of a network determines its dynamical behaviours. We may want to know, for example, whether a given network permits certain kinds of limit sets or bifurcations for some choice of parameters. We may also hope to find out when allowed dynamical behaviours survive alterations in the network structure such as the addition of new species or reactions to the network, or the splitting of reactions. I will present an overview and discuss some recent work in CRN theory, illustrating how the structure-dynamics relationship in CRNs can be studied using approaches from analysis, algebra and geometry. In many cases, the solutions to CRN problems are naturally formulated as algorithms, and so theoretical work goes hand-in-hand with computational work.