DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**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