Some mathematical models from population genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009

Some mathematical models from population genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009

Etheridge, Alison

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"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." 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 and biological background needed by a mathematician to read research papers in theoretical population genetics

  • ISBN: 978-3-642-16631-0
  • Editorial: Springer
  • Encuadernacion: Rústica
  • Páginas: 114
  • Fecha Publicación: 01/01/2011
  • Nº Volúmenes: 1
  • Idioma: Inglés