Speaker: Jonathan Bell, Mathematics, UMBC
Title: Cable Theory on Graphs: A Synopsis of Some Forward and Inverse Problems

Abstract: Motivated by voltage dynamics in dendrites of nerves, I will discuss some partial results concerning behavior of reaction-diffusion equations on tree graphs. This will include some propagation and threshold solution behavior. Then I will turn my attention to a parameter identification problem, first on a single branch (edge), then to a simple graph. I will conclude with remarks concerning recovering tree morphology from boundary measurements, and a few more open problems.

Time: Friday, Apr. 8, 2011, 1:30-2:30 p.m.

Place: Science and Tech 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