Module MA4450
Modeling Biological Systems (MoBS)
Duration
1 Semester
Turnus of offer
each winter semester
Credit points
4
Course of studies, specific fields and terms:
- Master MES 2011, optional subject, mathematics
- Master MES 2011, advanced curriculum, biophysics and biomedical optics
- Master Computer Science 2012, compulsory, specialization field bioinformatics
- Master Computer Science 2012, optional subject, advanced curriculum organic computing
Classes and lectures:
- Modeling Biological Systems (exercise, 1 SWS)
- Modeling Biological Systems (lecture, 2 SWS)
Workload:
- 10 hours exam preparation
- 45 hours in-classroom work
- 65 hours private studies and exercises
Contents of teaching:
- Elementary time-discrete deterministic models
- Structured time-discrete population dynamics
- Generating functions, Galton-Watson-processes
- Modeling of data and data analysis
Qualification-goals/Competencies:
- Students have knowledge of elementary time-discrete models for modeling biological processes
- They develop skills in connecting ideas from different fields of mathematics
- They have competencies in data analysis and modelling
- They develop competencies in interdisciplinary work
Grading through:
- Exercises
- written exam
Responsible for this module:
Literature:
- F. Braer, C. Castillo-Chavez : Mathematical Models in Population Biology and Epidemiology New York: Springer 2000
- H. Caswell : Matrix Population Modells Sunderland: Sinauer Associates 2001
- S. N. Elaydi : An Introduction to Difference Equations New York: Springer 1999
- B. Huppert : Angewandte Lineare Algebra Berlin: de Gruyter 1990
- U. Krengel : Einführung in die Wahrscheinlichkeitstheorie und Statistik Wiesbaden: Vieweg 2002
- E. Seneta : Non-negative Matrices and Markov Chains New York: Springer 1981
Language:
- offered only in German
Notes:
The lecture is identical to that in module MA4450-MML. For students in the master Infection Biology programme, this is not a stand-alone module, but rather part of module CS4011.Last Updated:
16.11.2021