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Some Mathematical Models from Population Genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009: Lecture Notes in Mathematics, cartea 2012

Autor Alison Etheridge
en Limba Engleză Paperback – 7 ian 2011
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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Specificații

ISBN-13: 9783642166310
ISBN-10: 3642166318
Pagini: 120
Ilustrații: VIII, 119 p. 15 illus.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.2 kg
Ediția:2011
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seriile Lecture Notes in Mathematics, École d'Été de Probabilités de Saint-Flour

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Textul de pe ultima copertă

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.

Caracteristici

First volume aimed at mathematicians to cover a wide range of models from population genetics Provides the biological motivation for models without using too much `jargon' Provides the mathematical and biological background needed by a mathematician to read research papers in theoretical population genetics Includes supplementary material: sn.pub/extras