Special Colloquium
Anne Shiu
University of Chicago
Geometry and dynamics of reaction systems
Abstract: Chemical reaction networks are directed graphs in which each
edge represents a chemical reaction. The most basic kinetics
to assign to reaction networks are those of mass-action, first
introduced nearly 150 years ago by Guldberg and Waage: the rate
at which each reaction occurs is proportional to the product of
the concentrations of its reactants. The systematic study of
the resulting polynomial ordinary differential equations began
in the 1970s, and in recent years, this area has seen renewed
interest, due in part to applications to systems biology. This
talk will survey progress on long-standing questions pertaining
to the dynamics of reaction systems, particularly their
multistationarity and long-term stability, using methods from
combinatorics and polyhedral as well as toric geometry.
Tea at 4:15
Tuesday January 22, 2013 at 3:00 PM in SEO 636