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Module guide

Module MA4450

Modeling Biological Systems (MoBS)

Duration:


1 Semester
Turnus of offer:


each winter semester
Credit points:


4
Course of studies, specific field and terms:
  • Master MES 2011 (optional subject), mathematics, 1st semester
  • Master MES 2011 (advanced curriculum), biophysics and biomedical optics, 1st semester
  • Master Computer Science 2012 (compulsory), specialization field bioinformatics, 1st semester
  • Master Computer Science 2012 (optional subject), advanced curriculum organic computing, 2nd or 3rd semester
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
Requires:
Responsible for this module:
Teachers:
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.

Letzte Änderung:
16.11.2021