Some Mathematical Models from Population Genetics [electronic resource] : cole d'tȨ de ProbabilitȨs de Saint-Flour XXXIX-2009 / by Alison Etheridge.
Tipo de material: TextoSeries Lecture Notes in Mathematics ; 2012 | Lecture Notes in Mathematics ; 2012Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Descripción: VIII, 119p. online resourceTipo de contenido:- text
- computer
- online resource
- 9783642166327
- SpringerLink (Online service)
- Mathematics
- Differential equations, partial
- Genetics -- Mathematics
- Biology -- Mathematics
- Statistics
- Mathematics
- Genetics and Population Dynamics
- Mathematical Biology in General
- Mathematical Modeling and Industrial Mathematics
- Partial Differential Equations
- Statistics for Life Sciences, Medicine, Health Sciences
- 576.50151 23
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.
ZDB-2-SMA
ZDB-2-LNM
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