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Some Mathematical Models from Population Genetics : École d'Été de Probabilités de Saint-Flour XXXIX-2009 / by Alison Etheridge
(École d'Été de Probabilités de Saint-Flour ; 2012)
版 | 1st ed. 2011. |
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出版者 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer |
出版年 | 2011 |
本文言語 | 英語 |
大きさ | VIII, 119 p. 15 illus : online resource |
著者標目 | *Etheridge, Alison author SpringerLink (Online service) |
件 名 | LCSH:Population genetics LCSH:Biomathematics LCSH:Mathematical models LCSH:Differential equations LCSH:Biometry FREE:Population Genetics FREE:Mathematical and Computational Biology FREE:Mathematical Modeling and Industrial Mathematics FREE:Differential Equations FREE:Biostatistics |
一般注記 | 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 HTTP:URL=https://doi.org/10.1007/978-3-642-16632-7 |
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Springer eBooks | 9783642166327 |
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EB00236075 |
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