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

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 mo...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Etheridge, Alison (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edición:1st ed. 2011.
Colección:École d'Été de Probabilités de Saint-Flour ; 2012
Temas:
Acceso en línea:Texto Completo

MARC

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520 |a 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. 
650 0 |a Population genetics. 
650 0 |a Biomathematics. 
650 0 |a Mathematical models. 
650 0 |a Differential equations. 
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650 2 4 |a Mathematical and Computational Biology. 
650 2 4 |a Mathematical Modeling and Industrial Mathematics. 
650 2 4 |a Differential Equations. 
650 2 4 |a Biostatistics. 
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