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Some Mathematical Models from Population Genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009 - Softcover

Etheridge, Alison

 
9783642166310: Some Mathematical Models from Population Genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009
Softcover
ISBN 10: 3642166318 ISBN 13: 9783642166310
Verlag: Springer, 2011

Inhaltsangabe

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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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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Verlag
Springer
Erscheinungsdatum
2011
Sprache
Englisch
ISBN 10 
3642166318
ISBN 13 
9783642166310
Einband
Taschenbuch
Anzahl der Seiten
136
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9783642166334: Some Mathematical Models from Population Genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009

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ISBN 10:  3642166334 ISBN 13:  9783642166334
Verlag: Springer, 2011
Softcover