Polynomial Dynamical Systems over Finite Fields, with Applications to Modeling and Simulation of Biological Networks

Wednesday, March 7, 2007 - 9:00am - 9:50am
EE/CS 3-180
Reinhard Laubenbacher (Virginia Polytechnic Institute and State University)
Time-discrete dynamical systems with a finite state space
have been used as models of biological systems since the
use/invention of cellular automata by von Neumann in his attempt to
model a self-replicating organism in the 1950s. More recently, they
have appeared as models of a variety of biological systems, from
gene regulatory networks to large-scale epidemiological networks. This
talk will focus on theoretical and computational results about
polynomial dynamical systems using tools from computational
algebra and algebraic geometry.