Thursday, July 16
This minisymposium is sponsored by Society for Mathematical Biology, Inc.
Unstable Periodic Orbits in Biology: Identification and Control
10:30 AM-12:30 PM
Room: Sidney Smith 2106
Unstable periodic orbits (UPOs) offer a potential means of studying and exploiting nonlinear dynamics in biological systems and have potential medical applications. For example, dangerously irregular cardiac rhythms might be terminated with small stimuli from a control system that stabilizes a natural UPO. The minisymposium will focus on theoretical and practical aspects of UPO control algorithms. The speakers will discuss when and with what reliability UPOs can be detected and how estimates made of their associated stable and unstable manifolds.
Organizers: Daniel T. Kaplan
- 10:30 Unstable Fixed Points in Biological Systems: Tips, Traps and Techniques
- William L. Ditto, Georgia Institute of Technology
- 11:00 Topological Methods for Detecting and Scaling Unstable Periodic Orbits in Biological Systems
- Frank Moss, University of Missouri, St. Louis
- 11:30 Experimental Control of Cardiac Dynamics Using Small Perturbations
- Daniel J. Gauthier, Duke University
- 12:00 Detecting and Reliably Characterizing Unstable Fixed Points
- Daniel T. Kaplan and James Collins, Organizers
LMH Created: 3/19/98 Updated: 5/28/98