This Site umd.edu

Graduate Student Seminar - 10/14/2011

"Dynamical Instability on Boolean Networks as a Percolation Problem"

by Shane Squires

Friday, October 14, 2011 -- 12:00 p.m.
Large Conference Room, 1207 Energy Research Facility

Advisors:  Assistant Professor Michelle Girvan and Professor Edward Ott

Boolean networks, a widely used model of gene regulatory networks, exhibit a phase transition between a stable regime, in which small perturbations die out, and an unstable regime, in which small perturbations grow exponentially. We show that this phase transition can be mapped onto a static percolation problem which predicts the critical point and the long-time Hamming distance between perturbed and unperturbed systems. The results, which apply to Boolean networks with a broad class of topologies and update functions, are confirmed by numerical simulations.

For additional information about the IREAP Graduate Student Seminars, contact Kevin Schoeffler.

Return to the Graduate Student Seminars schedule.