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001 978-3-642-16632-7
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020 _a9783642166327
_9978-3-642-16632-7
024 7 _a10.1007/978-3-642-16632-7
_2doi
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050 4 _aQH455
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_2bicssc
072 7 _aMAT003000
_2bisacsh
072 7 _aPBW
_2thema
082 0 4 _a576.58
_223
082 0 4 _a577.88
_223
100 1 _aEtheridge, Alison.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aSome Mathematical Models from Population Genetics
_h[electronic resource] :
_bÉcole d'Été de Probabilités de Saint-Flour XXXIX-2009 /
_cby Alison Etheridge.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aVIII, 119 p. 15 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aÉcole d'Été de Probabilités de Saint-Flour,
_x0721-5363 ;
_v2012
520 _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.
650 0 _aGenetics
_xMathematics.
650 0 _aDifferential equations, partial.
650 0 _aStatistics.
650 1 4 _aGenetics and Population Dynamics.
_0http://scigraph.springernature.com/things/product-market-codes/M31010
650 2 4 _aMathematical and Computational Biology.
_0http://scigraph.springernature.com/things/product-market-codes/M31000
650 2 4 _aMathematical Modeling and Industrial Mathematics.
_0http://scigraph.springernature.com/things/product-market-codes/M14068
650 2 4 _aPartial Differential Equations.
_0http://scigraph.springernature.com/things/product-market-codes/M12155
650 2 4 _aStatistics for Life Sciences, Medicine, Health Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/S17030
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642166310
776 0 8 _iPrinted edition:
_z9783642166334
830 0 _aÉcole d'Été de Probabilités de Saint-Flour,
_x0721-5363 ;
_v2012
856 4 0 _uhttps://doi.org/10.1007/978-3-642-16632-7
912 _aZDB-2-SMA
912 _aZDB-2-LNM
999 _c10264
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