Some mathematical models from population genetics [electronic resource] : École d'éte de probabilités De Saint-flour XXXIX-2009 / Alison Etheridge.
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 mo...
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| Format: | Electronic Conference Proceeding eBook |
| Language: | English |
| Published: |
Heidelberg ; New York :
Springer,
©2011.
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| Series: | Lecture notes in mathematics (Springer-Verlag) ;
2012. |
| Subjects: |
MARC
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| 245 | 1 | 0 | |a Some mathematical models from population genetics |h [electronic resource] : |b École d'éte de probabilités De Saint-flour XXXIX-2009 / |c Alison Etheridge. |
| 260 | |a Heidelberg ; |a New York : |b Springer, |c ©2011. | ||
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| 504 | |a Includes bibliographical references (pages 109-111) and index. | ||
| 505 | 0 | |a Mutation and random genetic drift -- One dimensional diffusions -- More than two types -- Selection -- Spatial structure. | |
| 520 | |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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