Summer Semester 2002 - Course Number 621.140

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://www-ang.kfunigraz.ac.at/~batzel/ss02_seminar/home.html

Organization

Topics, Times & Lecturers

Planning meeting (March 5)

Basic Topics

Introduction to modeling (March 12, all organizers)

Development of a lung mechanics model; steady state (April 9, Auerbach & Batzel)

Development of a muscle control model; steady state analysis and dynamic analysis (April 16, Pilgram & Fink)

1st Lab on models discussed above (April 23, Auerbach, Batzel, Pilgram & Fink)

Advanced circulatory control model; frequency analysis (April 30, Schneditz & Bachar)

2nd Lab on circulatory control model (May 7, Schneditz & Bachar)

Advanced Topics

Modeling of the respiratory control system, 2 lectures (May 14 and 28 Batzel & Auerbach)

Modeling the insulin-glucose system, 2 lectures (June 4 and June 11 Bachar & Schneditz)

Modeling the baroreflex control system, 2 lectures (June 18 and June 25 Fink & Pilgram)