Model reduction methods for chemical, biochemical and population models based on invariant manifold theory

Marc Roussel
Department of Chemistry and Biochemistry, University of Lethbridge

(June 16, 2009 2:30 PM - 3:30 PM)

Model reduction methods for chemical, biochemical and population models based on invariant manifold theory

Abstract

We can often generate a reduced model for a dissipative system by computing an invariant (or, for infinite-dimensional systems, inertial) manifold that rapidly attracts the flow in phase space. These manifolds have become known in the literature as slow invariant manifolds. In this talk, I review some methods for generating slow invariant manifolds, as well as some of the connections between them. I emphasize methods whose solutions converge on the exact slow invariant manifold. The discussion will be framed with examples from chemistry, biochemistry, and population biology.