After successful completion of the course, students are able to:

• To define concepts and to be able to reproduce mathematical relationships of the Laplace transformation.
• Using methods and concepts of behavioral models and adapting them in different control-mathematical situations.
• Describe and analyze medical models using behavioral models.
• To reproduce case studies such as the cardiovascular system or the glucose cycle and illustrate the use of previously introduced mathematical methods.
• To discuss aspects of simulation models and simulation environments and their influence qualitatively and quantitatively.

• Laplace transform
• Transfer-functions and behavioural models
• State-space models
• Concept of feedback control
• Case studies of regulatory models in medicine
• Matlab / SIMULINK as a simulation tool in the context of the subject areas

Panel presentation and presentation for an introduction to the facts and presentation of the basic mathematical concepts and methods. Subsequently, the study of selected case studies.

The course will be held live and online via Zoom in 2020W.

Oral exam at the end of the semester or by appointment at a later date with an approximate duration of 20-30 minutes.

Basic knowledge in Analysis, Linear Algebra and differential equations.