Universität Wien

250076 VO Mathematical population genetics (2011W)

5.00 ECTS (3.00 SWS), SPL 25 - Mathematik

Details

Language: English

Examination dates

Lecturers

Classes (iCal) - next class is marked with N

  • Tuesday 04.10. 10:00 - 12:00 Seminarraum
  • Thursday 06.10. 10:00 - 11:00 Seminarraum
  • Tuesday 11.10. 10:00 - 12:00 Seminarraum
  • Thursday 13.10. 10:00 - 11:00 Seminarraum
  • Tuesday 18.10. 10:00 - 12:00 Seminarraum
  • Thursday 20.10. 10:00 - 11:00 Seminarraum
  • Tuesday 25.10. 10:00 - 12:00 Seminarraum
  • Thursday 27.10. 10:00 - 11:00 Seminarraum
  • Thursday 03.11. 10:00 - 11:00 Seminarraum
  • Tuesday 08.11. 10:00 - 12:00 Seminarraum
  • Thursday 10.11. 10:00 - 11:00 Seminarraum
  • Tuesday 15.11. 10:00 - 12:00 Seminarraum
  • Thursday 17.11. 10:00 - 11:00 Seminarraum
  • Tuesday 22.11. 10:00 - 12:00 Seminarraum
  • Thursday 24.11. 10:00 - 11:00 Seminarraum
  • Tuesday 29.11. 10:00 - 12:00 Seminarraum
  • Thursday 01.12. 10:00 - 11:00 Seminarraum
  • Tuesday 06.12. 10:00 - 12:00 Seminarraum
  • Tuesday 13.12. 10:00 - 12:00 Seminarraum
  • Thursday 15.12. 10:00 - 11:00 Seminarraum
  • Tuesday 10.01. 10:00 - 12:00 Seminarraum
  • Thursday 12.01. 10:00 - 11:00 Seminarraum
  • Tuesday 17.01. 10:00 - 12:00 Seminarraum
  • Thursday 19.01. 10:00 - 11:00 Seminarraum
  • Tuesday 24.01. 10:00 - 12:00 Seminarraum
  • Thursday 26.01. 10:00 - 11:00 Seminarraum
  • Tuesday 31.01. 10:00 - 12:00 Seminarraum

Information

Aims, contents and method of the course

This course is targeted to students in the bio-math program, but also suitable for biology students having a solid mathematical foundation.
Population genetics is a branch of genetics concerned with the study of the genetic composition of natural populations under mechanisms of inheritance to clarify evolutionary questions. In particular, population genetics is studies the changes of gene frequency distributions under influences such as selection, recombination, mutation, random genetic drift, and migration. This course introduces mathematical models, which describe these changes in gene frequency distributions. We will encounter deterministic models (difference and differential equations), as well as stochastic models.
Biological knowledge is required only at the high-school level. Basic knowledge in ordinary differential equations is recommendable but not necessary required. An course in probability theory should already have been attended. The mathematical level will be adjusted to the audience. If requested the course can be hold in English. Participation in the respective tutorial is recommended.
Some special topics:
Hard-Weinberg law
Selection (frequency- and density-dependent)
Genetic hitchhiking
Levene Model
Wright-Fisher model
Moran model
Diffusion approximation

Assessment and permitted materials

Oral exam

Minimum requirements and assessment criteria

Understanding basic concepts of population genetic modeling and evolutionary theory.

Examination topics

Matrix theory, analysis, ordinary difference- and differential-equations, Markov-chains, stochastic processes

Reading list

Ewens, W. J. Mathematical Population Genetics. Springer (2004)
Bürger, R. The Mathematical Theory of Selection, Recombination, and Mutation. Chichester: John Wiley & Sons (2000)
Nagylaki, T. Introduction to Theoretical Population. Genetics. Springer-Verlag, Berlin (1992)
Schneider, K.A.. Maximization Principles in models of frequency-dependent selection. Holzhausen Verlag (2011)

Association in the course directory

MBIP

Last modified: Mo 07.09.2020 15:40