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Some Mathematical Models from Population Genetics : École d'Été de Probabilités de Saint-Flour XXXIX-2009 / by Alison Etheridge.
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View online- Format:
- Book
- Author/Creator:
- Etheridge, Alison, author.
- Series:
- École d'Été de Probabilités de Saint-Flour, 0721-5363 ; 2012.
- École d'Été de Probabilités de Saint-Flour, 0721-5363 ; 2012
- Language:
- English
- Subjects (All):
- Genetics--Mathematics.
- Genetics.
- Differential equations, Partial.
- Statistics.
- Genetics and Population Dynamics.
- Mathematical and Computational Biology.
- Mathematical Modeling and Industrial Mathematics.
- Partial Differential Equations.
- Statistics for Life Sciences, Medicine, Health Sciences.
- Local Subjects:
- Genetics and Population Dynamics.
- Mathematical and Computational Biology.
- Mathematical Modeling and Industrial Mathematics.
- Partial Differential Equations.
- Statistics for Life Sciences, Medicine, Health Sciences.
- Physical Description:
- 1 online resource (VIII, 119 pages 15 illustrations).
- Contained In:
- Springer eBooks
- Place of Publication:
- Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
- System Details:
- text file PDF
- Summary:
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 9783642166327
- Access Restriction:
- Restricted for use by site license.
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