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Some Mathematical Models from Population Genetics - Ecole d'Ete de Probabilites de Saint-Flour XXXIX-2009 (Paperback, 2011 ed.)
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Some Mathematical Models from Population Genetics - Ecole d'Ete de Probabilites de Saint-Flour XXXIX-2009 (Paperback, 2011 ed.)
Series: Lecture Notes in Mathematics, 2012
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Total price: R1,322
Discovery Miles: 13 220
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This work reflects sixteen hours of lectures delivered by the
author at the 2009 St Flour summer school in probability. It
provides a rapid introduction to a range of mathematical models
that have their origins in theoretical population genetics. The
models fall into two classes: forwards in time models for the
evolution of frequencies of different genetic types in a
population; and backwards in time (coalescent) models that trace
out the genealogical relationships between individuals in a sample
from the population. Some, like the classical Wright-Fisher model,
date right back to the origins of the subject. Others, like the
multiple merger coalescents or the spatial Lambda-Fleming-Viot
process are much more recent. All share a rich mathematical
structure. Biological terms are explained, the models are carefully
motivated and tools for their study are presented systematically.
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