Autocatalysis and Unstable Cores in Parameter-Rich Chemical Reaction Networks

Explore a 57-minute lecture from the Santa Fe Institute on autocatalysis and unstable cores in parameter-rich chemical reaction networks. Delve into the research of Peter Stadler from the University of Leipzig and SFI, conducted in collaboration with Nicola Vassena. Examine how parameter-rich CRNs, built on flexible kinetic laws like Michaelis-Menten and generalized mass action kinetics, allow for independent selection of fixed-point coordinates and non-zero Jacobian entries. Discover how the stoichiometric matrix determines the existence of Hurwitz inner fixed points, and learn about unstable cores as minimal quadratic sub-matrices that can cause dynamic instability. Investigate the relationship between autocatalytic cores and Metzler matrices, understanding how autocatalysis can be a source of instability given suitable parameters. Gain insights into other causes of dynamic instability unrelated to autocatalysis. For more information and related content, explore the Santa Fe Institute's social media channels and podcasts.