PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov.

Title:Spiral Waves in Excitable Media
Seminar:Department of Mathematics Colloquium
Speaker:De Witt Sumners, Florida State University
Abstract:
Rotating spiral wave patterns are a signature of oscillating chemical reactions (the Belusov-Zhabotinsky reaction, and AMP pulses in slime mold), and are believed to be involved in heart fibrillation and neural siezures. The organizing centers for spiral wave patterns are points in 2-dimensional excitable media, and curves in 3-dimensional excitable media, so codimension 2 topology (knot theory) is useful in the analysis of these patterns. This talk will discuss a mathematical characterization of these spiral wave patterns and their time evolution, in terms of phase maps and the homotopy of phase maps. A quantization condition that is necessary and sufficient for the (mathematical) existence of a rotating spiral wave pattern will be derived.

Room Reservation Information

Room Number:MB114
Date:11 / 06 / 2008
Time:04:00pm - 05:00pm