Thursday, July 16

Unstable Periodic Orbits in Biology: Identification and Control

This minisymposium is sponsored by Society for Mathematical Biology, Inc.

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
Macalester College
James Collins
Boston University
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

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LMH Created: 3/19/98 Updated: 5/28/98