SIAM Conference on Applied Algebraic Geometry (AG25)

Stochastic Reaction Networks

Biochemical and ecological systems are commonly modeled as networks of interactions between different species, such as molecules or organisms. When the population size is small, these systems are often represented as Markov chains, where the dynamics are closely tied to the structure of the reaction network. In this framework, algebra plays a key role in analyzing important qualitative behaviors, such as the system’s long-term dynamics. The mathematical insights derived from this approach are crucial for addressing open challenges in fields like genomics and synthetic biology. This minisymposium highlights recent mathematical advances in the study of stochastic reaction networks.