Short Courses on the Mathematics of Biological Complexity
Course #3: Nonlinear Time Series Analysis in Biology
December 17-20, 2000

Course Director: Daniel Kaplan, Macalester College
Lecturers:       Leon Glass, McGill University
                 Thomas Schreiber, MPIPKS


Sunday, December 17, 2000

 8:30- 9:20     Registration and Continental Breakfast
 9:20- 9:30     D. Kaplan  - Introduction and objectives
 9:30-10:20     L. Glass, ``Nonlinear Dynamics in Physiology''
10:20-11:10     D. Kaplan, ``Linear Dynamics: Phenomena and Analysis''
11:10-11:30     Break
11:30-12:20     L. Glass, ``Resetting and Entrainment of Oscillators''
12:30- 2:00     Lunch           UT Conference Center Room 404
 2:00- 2:50     D. Kaplan, ``Foundations of NLTS Analysis'' Poincare
                maps, embedding, basics and fractals and dimensions
 2:50- 3:40     T. Schrieber, ``Fractal dimensions: promises and
                problems''
 3:40- 4:00     Break
 4:00- 4:45     Lab Introduction: Matlab primer
 4:00- 5:30     Lab: Poincare Oscillators
 6:00           Dinner          UT Conference Center Room 404


Monday, December 18, 2000

 8:00- 8:40     Breakfast
 8:40- 10:20    D. Kaplan, ``Nonlinear Function estimation''
10:20-10:40     Break
10:40-12:20     L. Glass, ``Entrainment and Control''
12:30- 2:00     Lunch           UT Conference Center Room 404
 2:00- 2:50     T. Schreiber, ``Predictability, noise, and the Lyapunov
                exponent''
 2:50- 3:40     D. Kaplan, ``1/f noise''
 3:40- 4:00     Break
 4:00- 5:40     Lab: Function estimation, dimensions
 6:00           Dinner          UT Conference Center Room 404
 7:00  Walk (or drive) to Laurel Theatre
 7:30  Laurel Theatre (Basic steps of contra-dancing)
 8:00  Contra-dance with Music by Contraindicated from Brasstown, NC and
       calling by Keith Cornett of Lexington, KY


Tuesday, December 19, 2000

 8:00- 8:40     Breakfast
 8:40- 9:30     L. Glass, ``Detecting chaos experimentally and
                practical applications of nonlinear dynamics''
 9:30-10:20     D. Kaplan, ``Hypothesis testing on time series''
10:20-10:40     Break
10:40-12:20     T. Schreiber & D. Kaplan, ``Test statistics and
                artifacts''
12:30- 2:00     Lunch           UT Conference Center Room 404
 2:00- 2:50     T. Schreiber, ``Beyond low-dimensional chaos''
 2:50- 3:40     Lab: Power spectra
 3:40- 4:00     Break
 4:00- 5:40     Lab: Surrogate Data
 6:00           Dinner          UT Conference Center Room 404



Wednesday, December 20, 2000

 8:00- 8:40     Breakfast
 8:40- 9:30     D. Kaplan, ``Correlation and coupling: Basics''
 9:30-10:20     T. Schreiber, ``Generalized measures of coupling''
                [Transinformation]
10:20-10:40     Break
10:40-11:30     D. Kaplan, ``Phase synchronization''
11:30-12:00     D. Kaplan & T. Schreiber     Wrap-up session &
                Adjournment
12:00           Lunch           UT Conference Center Room 404