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100   $a20110104d2011      u|             0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aSome Mathematical Models from Population Genetics$b[electronic resource] $eÉcole d'Été de Probabilités de Saint-Flour XXXIX-2009 /$fby Alison Etheridge
205   $a1st ed. 2011.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2011.
215   $a1 online resource (VIII, 119 p. 15 illus.)
225 1 $aÉcole d'Été de Probabilités de Saint-Flour,$x0721-5363 ;$v2012
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-16631-8 
320   $aIncludes bibliographical references and index.
330   $aThis work reflects sixteen hours of lectures delivered by the author at the 2009 St Flour summer school in probability. It provides a rapid introduction to a range of mathematical models that have their origins in theoretical population genetics. The models fall into two classes: forwards in time models for the evolution of frequencies of different genetic types in a population; and backwards in time (coalescent) models that trace out the genealogical relationships between individuals in a sample from the population. Some, like the classical Wright-Fisher model, date right back to the origins of the subject. Others, like the multiple merger coalescents or the spatial Lambda-Fleming-Viot process are much more recent. All share a rich mathematical structure. Biological terms are explained, the models are carefully motivated and tools for their study are presented systematically.
410  0$aÉcole d'Été de Probabilités de Saint-Flour,$x0721-5363 ;$v2012
606   $aBiomathematics
606   $aMathematical models
606   $aPartial differential equations
606   $aStatistics 
606   $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010
606   $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000
606   $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
606   $aStatistics for Life Sciences, Medicine, Health Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/S17030
615  0$aBiomathematics.
615  0$aMathematical models.
615  0$aPartial differential equations.
615  0$aStatistics .
615 14$aGenetics and Population Dynamics.
615 24$aMathematical and Computational Biology.
615 24$aMathematical Modeling and Industrial Mathematics.
615 24$aPartial Differential Equations.
615 24$aStatistics for Life Sciences, Medicine, Health Sciences.
676   $a576.58015118
700   $aEtheridge$b Alison$4aut$4http://id.loc.gov/vocabulary/relators/aut$060921
712 12$aEcole d'e?te? de probabilite?s de Saint-Flour
906   $aBOOK
912   $a996466492403316
996   $aSome mathematical models from population genetics$9261771
997   $aUNISA