ALEX 2018 Workshop: Abstracts

Oscillatory reaction networks: far from complex-balance

Bernold Fiedler

Institute of Mathematics, Free University of Berlin (Germany)

Sustained temporal oscillations are ubiquitous in living and non-living systems. Neural oscillations, heartbeat, nonisothermal catalysis, glycolysis, circadian rhythms, and many other phenomena are examples.

We explore reaction networks, including metabolic and gene regulatory examples, which are not of purely mass action type. We aim for structural conditions on these networks which support autonomous oscillations.