Speaker:Tanushree Luke, George Mason University
Title: Exact Collective Dynamics for a Heterogeneous Network of Theta Neurons

Abstract: We have developed an exact model that examines the emergent dynamical properties of Type I neurons. Our model considers individual neuronal heterogeneity with respect to excitability and type of coupling. We employ a mean-field approach and reduce the higher dimensionality of this complex nonlinear system to a simple exact two-dimensional description. We characterize all the macroscopic states of the network and conduct a comprehensive bifurcation analysis under which transitions in these collective states occur.

Time: Friday, April 12, 2013, 1:30-2:30 p.m.

Place: Planetary Hall (formerly S & T I), Room 242

Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491