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

Etheridge, Alison

 
9783642166310: Some Mathematical Models from Population Genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

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.

Présentation de l'éditeur

Based on the author's lectures at the 2009 St Flour summer school in probability, this volume provides an introduction to a range of mathematical models that have their origins in theoretical population genetics.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Autres éditions populaires du même titre

9783642166334: Some Mathematical Models from Population Genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009

Edition présentée

ISBN 10 :  3642166334 ISBN 13 :  9783642166334
Editeur : Springer, 2011
Couverture souple