Module MA4450-KP08, MA4450-MML
Modeling Biological Systems (MoBS)
Duration
1 Semester
Turnus of offer
each winter semester
Credit points
8
Course of studies, specific fields and terms:
- Master MES 2020, optional subject, mathematics / natural sciences
- Master MES 2014, optional subject, mathematics / natural sciences
- Master MES 2011, optional subject, mathematics
- Bachelor CLS 2010, compulsory, mathematics
Classes and lectures:
- Modeling Biological Systems (exercise, 2 SWS)
- Modeling Biological Systems (lecture, 2 SWS)
Workload:
- 30 hours work on project
- 20 hours exam preparation
- 130 hours private studies and exercises
- 60 hours in-classroom work
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 and project assignments
- written exam
Responsible for this module:
Literature:
- F. Braer, C. Castillo-Chavez : Mathematical Models in Population Biology New York: Springer 2000
- H. Caswell : Matrix Population Models 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 moduleMA4450.
Prerequisites for attending the module:
- None (The competences of the required modules are required for this module, but the modules are not a prerequisite for admission.)
Prerequisites for the exam:
- Preliminary examinations can be determined at the beginning of the semester. If preliminary work has been defined, it must have been completed and positively assessed before the initial examination.
Last Updated:
16.11.2021