Kinetic and related models with applications in the natural sciences

Stochastic reaction networks and their qualitative behavior

David Anderson

University of Wisconsin-Madison

Stochastic reaction networks are typically modeled as continuous time Markov chains. I will formally introduce these models and discuss theorems that relate the underlying structure of the network to different qualitative properties of the mathematical model. In particular, I will focus on detailed balanced models, complex balanced models, and their generalizations.