Schedule
Short Courses on the Mathematics of Biological Complexity
Course #1: Introduction to the Mathematics of Biological Complexity
June 11-14, 2000 

Course Director: Louis J. Gross, University of Tennessee
Lecturers: Stephen P. Ellner, North Carolina State University
           Denise Kirschner, University of Michigan 

Sunday June 11

8:30  Registration and Breakfast
9:30  L. Gross - Introduction and objectives
9:45  L. Gross - An overview of biological modeling: purposes,
      basic methods
10:30 S. Ellner - An introduction to probability for stochastic 
      modeling in biology
11:15 Break
11:30 D. Kirschner - Introduction to ordinary differential equation 
      models in biology I
12:30 Lunch
1:30  L. Gross - An introduction to discrete dynamical 
      systems: difference equation models I
2:15  S. Ellner - Branching processes
3:00  Break
3:15  L. Gross - Introduction to computer tools - MATLAB and Maple
4:00  Concurrent lab sessions (half of group in each session):
      S. Ellner - The pure death process in discrete time
      D. Kirschner - Ordinary differential equation models I
4:45  Concurrent lab sessions (half of group in each session):
      S. Ellner - The pure death process in discrete time
      D. Kirschner - Ordinary differential equation models I
6:00  Dinner 

Monday June 12

8:00  Breakfast
8:30  L. Gross - Linear algebra and matrix models I
9:15  S. Ellner - Simple Random Walk & Gambler's Ruin
10:00 Break
10:15 D. Kirschner -  Introduction to ordinary differential equation 
      models in biology II
11:00 Concurrent lab sessions (half of group in each session):
      L. Gross - Linear algebra and structured population models
      S. Ellner -  Markov chains in discrete and continuous time
11:45 Concurrent lab sessions (half of group in each session):
      L. Gross - Linear algebra and structured population models
      S. Ellner - Markov chains in discrete and continuous time
12:30 Lunch
1:30  D. Kirschner - Epidemiological models
2:15  S. Ellner - Markov chains in discrete time with examples 
      from population genetics
3:00  Break
3:15  L. Gross - An introduction to discrete dynamical 
      systems: difference equation models II
4:00  Concurrent lab sessions (half of group in each session):
      S. Ellner - Markov chains in discrete and continuous time
      D. Kirschner - Ordinary differential equation models II
4:45  Concurrent lab sessions (half of group in each session):
      S. Ellner - Markov chains in discrete and continuous time
      D. Kirschner - Ordinary differential equation models II
6:00  Dinner 
7:00  Walk (or drive) to Laurel Theatre
7:30  Laurel Theatre (Basic steps of contra-dancing)
8:00  Contra-dance with Music by the Atomic City Rhythm Rascals and
      calling by Charley Harvey of Berea, KY

Tuesday June 13

8:00  Breakfast
8:30  D. Kirschner - Partial differential equation models: transport
      and diffusion 
9:15  S. Ellner - Birth and death processes
10:00 Break
10:15 L. Gross - Linear algebra and matrix models II
11:00 D. Kirschner - Partial differential equation models: Travelling 
      waves  
11:45 S. Ellner - General Markov chains in continuous time
12:30 Lunch
1:30  L. Gross - Models for spatial processes: patches and grids
2:15  D. Kirschner - Basic immmunological models
3:00  Break
3:15  S. Ellner - Diffusion processes
4:00  Concurrent lab sessions (half of group in each session):      
      D. Kirschner - Epidemiology models
      L. Gross - Discrete spatial models 
4:45  Concurrent lab sessions (half of group in each session):
      D. Kirschner - Epidemiology models
      L. Gross - Discrete spatial models
6:00  Dinner 

Wednesday June 14

8:00  Breakfast
8:30  D. Kirschner - Basic models of HIV
9:30  S. Ellner - Stochastic matrix models in conservation biology
10:30 Break
10:45 L. Gross - Multimodeling: linking models across scales 
11:45 Wrap-up session
12:00 Lunch