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Gerlinde Steinhoff

Mikael Falconnet (Grenoble University, France): Phylogenetic distances for neighbour dependent substitution processes

Wednesday, 05.05.2010 14:00 im Raum N2

Mathematik und Informatik

Abstract: First, we present a brief introduction to phylogenetics and its mathematical problems. Then, we consider the most simple nucleotidic substitution process, the Jukes-Cantor model, and we estimate the time elapsed between an ancestral DNA sequence and a present sequence. We provide an asymptotic confidence interval with Delta method and Slutsky's lemma. After, we do exactly the same with a nucleotidic substitution process with influence, the Jukes-Cantor model with CpG influence, where the rate of substitution at a given site depends on the state of the neighbours of the site. To finish, we explain the remaining conjectures to extend the results to more general models.



Angelegt am Friday, 23.04.2010 08:33 von Gerlinde Steinhoff
Geändert am Tuesday, 27.04.2010 10:05 von Gerlinde Steinhoff
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