1.

Record Nr.

UNISA996466492403316

Autore

Etheridge Alison

Titolo

Some Mathematical Models from Population Genetics [[electronic resource] ] : École d'Été de Probabilités de Saint-Flour XXXIX-2009 / / by Alison Etheridge

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011

ISBN

3-642-16632-6

Edizione

[1st ed. 2011.]

Descrizione fisica

1 online resource (VIII, 119 p. 15 illus.)

Collana

École d'Été de Probabilités de Saint-Flour, , 0721-5363 ; ; 2012

Disciplina

576.58015118

Soggetti

Biomathematics

Mathematical models

Partial differential equations

Statistics 

Genetics and Population Dynamics

Mathematical and Computational Biology

Mathematical Modeling and Industrial Mathematics

Partial Differential Equations

Statistics for Life Sciences, Medicine, Health Sciences

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Sommario/riassunto

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.