Cardiovascular-Respiratory Simulation (in Englisch, für Naturwissenschaftler und Mediziner)

Winter Semester 2002 - Course Number 621.140
Course on Cardiovascular-Respiratory Simulation

(for Mathematicians and Life Scientists)

(2 hours of course credit)

F. Kappel¹, T. Kenner², D. Schneditz², J. Batzel¹, D. Auerbach², M. Bachar¹,
M. Fink ¹, G. Schwaberger ²

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/cvrs_project/home.html

Organization

We will meet on Tuesdays from 16.00 to 17:30 in the Seminarraum 11.32 of the Department of Mathematics, Heinrichstrasse 36, third floor.

Fifteen lectures will be given jointly by a physiologist and a mathematician as well as computer labs to experiment with physiological models implemented in MatLab and Simulink.

During the second half of the course we will focus on explaining one model of the cardiovascular and respiratory system such as the one developed by F. Kappel, R. Peer, and S. Timischl at the Dept. of Mathematics. We will visit and utilize the exercise laboratory at the Dept. of Physiology under the direction of Prof. Schwaberger. In the lab we will have one or more students provide experimental cardiovascular and respiratory data involving exercise which will be used to estimate parameters for the model.

Handouts on presented topics and examples will be made available during the course. Please, provide your e-mail address.

Students wishing credit for this course will be formed into groups and asked to present a 30 minute report on a recently published research paper using the concepts and skills developed in the course.

The course will use the texts "Physiological Control Systems; Analysis, Simulation, and Estimation" by M. C. K. Khoo, IEEE Press, 2000 and Cobelli, C. and Carson E.,"Modeling Methodology for Physiology and Medicine" by C. Cobelli, and E. Carson Academic Press, San Diego Ca., 2001.

Topics, Times (TBA)& Lecturers

Planning meeting

Basic Topics

Introduction to modeling (1 lecture)

Development of a lung mechanics model; steady state (1 lecture)

Development of a muscle control model; dynamic analysis (1 lecture)

1^st Simulink lab on models discussed above (1 lecture)

Glucose tolerance test minimal model; parameter estimation (1 lecture)

2^nd Lab on glucose tolerence test (2 lectures)

Guest lecture by Dr. Med. Prof. Peter Kotanko

Advanced Topic: Cardiovascular and respiratory control model in exercise (8 lecture/labs