Universität Duisburg-Essen

Fachbereich Mathematik, Campus Essen

Anita Winter

08th April 2012

Seminar (2SWS)

Sommer Semester 2012

Monday, 16.15-17.45; V13 S03 C34

Sommer Semester 2012

Monday, 16.15-17.45; V13 S03 C34

**Probabilistic Models in Population Genetics**

*Content:*

- 16.04.2012; Introduction in the topic and organization of the presentations, Anita Winter
- 07.05.2012; Wright-Fisher Model and the Kingman Coalescent (Durrett, Section 1.2; Etheridge, Sections 2.1,2.6),
- 14.05.2012; Effective Population Size (HPP, Section 3; Durrett, Section 4.4)
- 21.05.2012; Adding Mutation, Infinite Alleles Model, Ewens' Sampling formula (Durrett, Section 1.3),
- 05.06.2012; Infinite Sites Model (Durrett, Section 1.4),
- 12.06.2012; Recombination and Linkage disequilibrium (HPP, Section 6),
- 19.06.2012; Counting Recombination events and estimating recombination rates (Durrett, Section 3.5,3.6),
- 26.06.2012; Various forms of selection (HPP, Section 8; Durrett, Sections 6.1,6.2,6.3),
- 02.07.2012; Mueller's Rachet (Durrett, Section 6.4),
- 09.07.2011; Hitchhiking and Selective Sweeps (Durrett, Section 6.5,6.7),

*What should I know if I want to participate?*

The Seminar is offered as part of the Master Program in Mathematics. Nevertheless, if you are interested in the topic you are very welcome to participate and contribute with a presentation. Preknowledge in probability theory and stochastic processes as well as interest in population genetics are of great advantage.
Don't hesitate to send me an e-mail for more information:

anita(dot)winter `at' due(dot)de

*Literature:*

- Richard Durrett, Probabilistic models in DNA sequence analysis pdf .
- Alison Etheridge, Some mathematical models from population genetics, Springer Lecture Notes in Mathematics, Ecole d'Ete de Probabilities de Saint Flour XXXIX-2009 pdf .
- Joachim Hermisson, Pleuni Plennings and Peter Pfaffelhuber, Population Genetics: a tutorial pdf .

*Begin:*

- The first session will be on Monday, 16th of April. I will give a short introduction in the topic and we will distribute the talks. The first presentation will be given on Monday, 07th of May.