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02831nam a22005415i 4500 |
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|a 9783642166327
|9 978-3-642-16632-7
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|a 10.1007/978-3-642-16632-7
|2 doi
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|a Etheridge, Alison.
|e author.
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|a Some Mathematical Models from Population Genetics
|h [electronic resource] :
|b École d'Été de Probabilités de Saint-Flour XXXIX-2009 /
|c by Alison Etheridge.
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2011.
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|a VIII, 119 p. 15 illus.
|b online resource.
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|a text
|b txt
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|b PDF
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2012
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|a 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.
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|a Mathematics.
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|a Partial differential equations.
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|a Mathematical models.
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|a Biomathematics.
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|a Statistics.
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|a Mathematics.
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|a Genetics and Population Dynamics.
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|a Mathematical and Computational Biology.
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|a Mathematical Modeling and Industrial Mathematics.
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|a Partial Differential Equations.
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|a Statistics for Life Sciences, Medicine, Health Sciences.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783642166310
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|a Lecture Notes in Mathematics,
|x 0075-8434 ;
|v 2012
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|u http://dx.doi.org/10.1007/978-3-642-16632-7
|z Full Text via HEAL-Link
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a Mathematics and Statistics (Springer-11649)
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