书目名称 | Some Mathematical Models from Population Genetics |
副标题 | École d‘Été de Proba |
编辑 | Alison Etheridge |
视频video | |
概述 | First volume aimed at mathematicians to cover a wide range of models from population genetics.Provides the biological motivation for models without using too much `jargon‘.Provides the mathematical an |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 2011 |
关键词 | 60-02;92D10;92D15;60J70;60J75; Coalescent models; Population genetics; stochastic models; partial differ |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-642-16632-7 |
isbn_softcover | 978-3-642-16631-0 |
isbn_ebook | 978-3-642-16632-7Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 2011 |