Institute for Pure and Applied Mathematics

M207A. Theoretical Genetic Modeling

Professor Kenneth Lange

Lecture, three hours; discussion, one hour.

Time: Tues and Thurs 10:00AM to 11:50AM

Place: Health Sciences AV139

Mathematical models in statistical genetics. Topics include

population genetics, genetic epidemiology, gene mapping, design of genetics

experiments, DNA sequence analysis, and molecular phylogeny.

1 Elementary population genetics

2 Methods of statistical estimation

3 Hypothesis testing, categorical data, and permutation tests

4 Calculation of Mendelian likelihoods and applications

5 Calculation of polygenic likelihoods

6 Markov chain Monte Carlo calculation of likelihoods

7 Molecular phylogeny

8 DNA Sequence Analysis

9 Applications of diffusion processes in population genetics