Some mathematical models from population genetics: école d'été de probabilités de Saint-Flour XXXIX-2009 / Alison Etheridge

Collectivité principale: école d'été de probabilités de Saint-Flour, 39, Saint-Flour (2009) Co-auteur: Etheridge, Alison (1964-) - AuteurType de document: CongrèsCollection: Lecture notes in mathematics, école d'été de probabilités de Saint-Flour ; 2012Langue: anglaisPays: AllemagneÉditeur: Berlin : Springer, 2011Description: 1 vol. (VIII-119 p.) : fig. ; 24 cm ISBN: 9783642166310 ; br. ISSN: 0075-8434Résumé: 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. (Source : 4ème de couverture).Bibliographie: Bibliogr. p. 109-111. Index. Sujets MSC: 92-02 Biology and other natural sciences -- Research exposition (monographs, survey articles)
92D25 Biology and other natural sciences -- Genetics and population dynamics -- Population dynamics (general)
60K40 Probability theory and stochastic processes -- Special processes -- Other physical applications of random processes
00A71 General -- General and miscellaneous specific topics -- Theory of mathematical modeling
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Bibliogr. p. 109-111. Index

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. (Source : 4ème de couverture)

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