TY - BOOK AU - Etheridge,Alison ED - SpringerLink (Online service) TI - Some Mathematical Models from Population Genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009 T2 - Lecture Notes in Mathematics, SN - 9783642166327 U1 - 576.50151 23 PY - 2011/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg KW - Mathematics KW - Differential equations, partial KW - Genetics KW - Biology KW - Statistics KW - Genetics and Population Dynamics KW - Mathematical Biology in General KW - Mathematical Modeling and Industrial Mathematics KW - Partial Differential Equations KW - Statistics for Life Sciences, Medicine, Health Sciences N2 - 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 UR - http://dx.doi.org/10.1007/978-3-642-16632-7 ER -