School Seminars and Colloquia

An exactly solvable model of recombination, mutation and selection

COLLOQUIUM & ARC Centre of Excellence MASCOS

by Professor Michael Baake

Institution: Department of Mathematics, University of Bielefeld, Germany
Date: Wed 1st March 2006
Time: 11:00 AM
Location: Russell Love Theatre, Richard Berry Building, University of Melbourne

Abstract: Population genetics is concerned with the time
evolution of a large ensemble of individuals,
represented by their genetic sequences. The
latter, in the course of reproduction, change
under the influence of mutation, selection,
recombination and various other factors.
Though this is a problem of stochastic nature,
important and relevant information can be
extracted from its deterministic infinite
population limit, which leads to a system of
nonlinear differential equations.

In this talk, starting from the case of pure
recombination, a relevant continuous time case
is discussed that can be solved exactly.
In a second step, this exact solution is extended
to include arbitary mutation and additive selection.
This could serve as the starting point for further
extensions of perturbative type and should be more
realistic than the models of neutral evolution used so far.

For More Information: Ole Warnaar tel. 8344 5214 or Paul Pearce tel. 8344 4470

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