Overordnede kursusmål
The course is an introduction into modelling diseases and disease
processes using applied mathematical biology. The main objective of
the course is to present mathematical models as a framework for
working with and understanding disease processes of e.g.
infectious, metabolic or transformed (cancer) diseases. The course
will enable the student to apply, modify and discuss disease models
and their potential as a tool for advancing knowledge of a
particular disease problem. The purpose of the course is to show
the student the potential of applied mathematical biology as a
research tool for studying disease processes.
Læringsmål
En studerende, der fuldt ud har opfyldt kursets mål, vil kunne:
- Understand the potential of mathematical models as a tool for
biological research
- Contribute to development of mathematical models for a given
disease process
- Formulate relevant research questions to be addressed using
mathematical biology for a given disease process
- Discuss the data requirements with respect to addressing
research questions using mathematical biology
- Evaluate the usefulness of a dynamic modelling process for a
specific research question
- Work with predefined mathematical disease models
- Modify and reanalyze a given mathematical model
- Discuss scientific literature regarding dynamic models in
biology
- Communicate and present results of a mathematical dynamic
biological model
Kursusindhold
In this course, the diversity of dynamic models in biology is
introduced using a wide-ranging set of case studies to illustrate
different aspects of models and modeling. The main topics are among
others: Compartment models, Matrix models and structured population
dynamics, membrane channels, cellular dynamics, dynamical systems,
infectious diseases, spatial patterns, agent based models and
complex models.
Litteraturhenvisninger
Dynamic Models in Biology, Stephen P. Ellner & John
Guckenheimer, Princeton University press
http://press.princeton.edu/titles/8124.htmlSidst opdateret
10. januar, 2017