course number 621.140 winter 2001-02

Course on Optimization and Control in Physiological Systems

(for Mathematicians and Life Scientists)

(2 hours of course credit)

F. Kappel1, T. Kenner2, D. Schneditz2, J. Batzel1, R. Pilgram2, D. Auerbach2, M. Bachar1,
M. Fink1

1Department of Mathematics, 2Department of Physiology, Karl-Franzens University, Graz, Austria

Purpose

In this course we will examine some important concepts and systems in human physiology, both from the perspective of the physiologist and the mathematician. As an end result of this seminar it is hoped that both the physiologist's and the mathematician's perspective will complement each other and advance joint knowledge.

The inspiration for the course stems from a joint Physiology and Mathematics working seminar within the Cardiovascular Respiratory Control Group of the Special Research Center for Optimization and Control at the University of Graz (Spezialforschungsbereich F-003) sponsored by the Austrian Science Fund.

The web page for this course can be found from the KFUG Mathematics web page or at:

http://bedvgm.kfunigraz.ac.at:8001/jerry/ws01_seminar/home.html

Organization

Topics, Times & Lecturers

Planning meeting (Oct. 2)

Basic Topics

Introduction to modeling (Oct.9, all organizers)

Development of a lung mechanics model; steady state analysis (Oct.23, Auerbach & Batzel)

Development of a muscle control model; dynamic analysis (Oct. 30, Pilgram & Fink)

1st Lab on models discussed above (Nov. 6, Auerbach, Batzel, Pilgram & Fink)

Advanced circulatory control model; frequency analysis (Nov. 13, Schneditz & Bachar)

2nd Lab on circulatory control model (Nov. 20, Schneditz & Bachar)

Advanced Topics

Modeling of the respiratory control system, 2 lectures ( & Nov. 27 & Dec. 4, Batzel & Auerbach)

Modeling the insulin-glucose system, 2 lectures ( & Dec. 11 & Jan. 8, Bachar & Schneditz)

Modeling the baroreflex control system, 2 lectures (Jan. 15 & 22 & Fink & Pilgram)