Some Mathematical Models from Population Genetics
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.
| Autor: | Etheridge, Alison |
|---|---|
| ISBN: | 9783642166310 |
| Sprache: | Englisch |
| Seitenzahl: | 119 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 07.01.2011 |
| Untertitel: | École d'Été de Probabilités de Saint-Flour XXXIX-2009 |
| Schlagworte: | 60-02 60J70 60J75 92D10 92D15 Coalescent models Population genetics partial differential equations stochastic models |