### From Computational Biology Group

**Background**: Understanding modes of species evolution is the major questions to the current evolutionary biology. As more DNA data become available, an increasing number of researchers is now switching to phylogeny-based of complex evolutionary models. Therefore, the key challenge now is to develop and test the models which can adequately describe evolution.

**Goal**: The goal of this project is to develop likelihood optimization of Ornstein-Uhlenbeck process in R and then use it in phylogenetic comparative analysis to test for signal of directional/divergent selection of *Amolops* frogs

**Mathematical tools**: Statistics (stochastic models) and programming. The students will learn how to use R to implement stochastic models and develop optimization procedures of the model parameters

**Biological or Medical aspects**: This kind of analysis allow to estimate the most probable way of evolution, and permit to answer a lot of question like phenotypic evolution, comparative analysis between species and more other.

BM formula: File:BM formule.pdf OU formula: File:ou.script.pdf

**Supervisors**: Anna Kostikova & Nicolas Salamin

**Students**: Berto Polerà, 3rd years of bachelor in biology.

**Presentation**:

**References**:

- A Butler, A A King 2004 "Phylogenetic comparative analysis: A modeling approach for adaptive evolution" American Naturalist: 164(6): 683-695

Back to UNIL BSc course: "Solving Biological Problems that require Math 2011"]