My research interests lie broadly in the areas of dynamical systems, stochastic processes, and mathematical biology. I am primarily interested in understanding the dynamical behavior of biochemical reaction systems such as enzymatic reactions, signal transduction cascades, and gene regulatory networks.
A particular emphasis of in my research in the relationship between the network of interactions and the admissible dynamical behaviors of the resulting dynamical system. In this formulation, networks are represented as directed graphs G(V,E) where the set of vertexes are the stoichiometrically distinct complexes (i.e. net inputs or net outputs of a reaction) and the set of edges are the reactions.