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

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Lecture notes in mathematics ; 2012Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: Online-Ressource (VIII, 119p, digital)ISBN:
  • 9783642166327
Subject(s): Genre/Form: Additional physical formats: 9783642166310 | Buchausg. u.d.T.: Some mathematical models from population genetics. Heidelberg [u.a.] : Springer, 2011. VIII, 119 S.DDC classification:
  • 519.23
  • 576.58 23
  • 577.88 23
MSC: MSC: *92-01 | 92D25 | 92D10 | 92D15 | 60J20RVK: RVK: SI 850LOC classification:
  • QH455
DOI: DOI: 10.1007/978-3-642-16632-7Online resources: Summary: 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.PPN: PPN: 1650765428Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-LNM | ZDB-2-SMA
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