000 02808nam a22005175i 4500
001 978-3-642-16632-7
003 DE-He213
005 20160624101837.0
007 cr nn 008mamaa
008 110104s2011 gw | s |||| 0|eng d
020 _a9783642166327
_9978-3-642-16632-7
024 7 _a10.1007/978-3-642-16632-7
_2doi
072 7 _aPBW
_2bicssc
072 7 _aMAT003000
_2bisacsh
082 0 4 _a576.50151
_223
100 1 _aEtheridge, Alison.
_eauthor.
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.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2011.
300 _aVIII, 119p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_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 _aMathematics.
650 0 _aDifferential equations, partial.
650 0 _aGenetics
_xMathematics.
650 0 _aBiology
_xMathematics.
650 0 _aStatistics.
650 1 4 _aMathematics.
650 2 4 _aGenetics and Population Dynamics.
650 2 4 _aMathematical Biology in General.
650 2 4 _aMathematical Modeling and Industrial Mathematics.
650 2 4 _aPartial Differential Equations.
650 2 4 _aStatistics for Life Sciences, Medicine, Health Sciences.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642166310
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v2012
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-16632-7
942 _2EBK1956
_cEBK
999 _c31250
_d31250