DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**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