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Some Mathematical Models from Population Genetics
Alison Etheridge
其他書名
École D'Été de Probabilités de Saint-Flour XXXIX-2009
出版
Springer Science & Business Media
, 2011-01-07
主題
Computers / Computer Simulation
Mathematics / General
Mathematics / Applied
Mathematics / Differential Equations / General
Mathematics / Probability & Statistics / General
Medical / Biostatistics
Science / Life Sciences / Evolution
Science / Life Sciences / Genetics & Genomics
Science / Life Sciences / General
ISBN
3642166318
9783642166310
URL
http://books.google.com.hk/books?id=miI9tdPCFdUC&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.