Some Mathematical Models from Population Genetics

This book PDF is perfect for those who love Mathematics genre, written by Alison Etheridge and published by Springer Science & Business Media which was released on 07 January 2011 with total hardcover pages 129. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Some Mathematical Models from Population Genetics books below.

Some Mathematical Models from Population Genetics
Some Mathematical Models from Population Genetics
Author : Alison Etheridge
File Size : 54,5 Mb
Publisher : Springer Science & Business Media
Language : English
Release Date : 07 January 2011
ISBN : 9783642166310
Pages : 129 pages
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Some Mathematical Models from Population Genetics by Alison Etheridge Book PDF Summary

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.

Some Mathematical Models from Population Genetics

Some Mathematical Models from Population Genetics by Alison Etheridge

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

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Some Mathematical Questions in Biology

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Population biology has had a long history of mathematical modeling. The 1920s and 1930s saw major strides with the work of Lotka and Volterra in ecology and Fisher, Haldane, and Wright in genetics. In recent years, much more sophisticated mathematical techniques have been brought to bear on questions in population

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A basic method of analyzing particulate gene systems is the proba bilistic and statistical analyses. Mendel himself could not escape from an application of elementary probability analysis although he might have been unaware of this fact. Even Galtonian geneticists in the late 1800's and the early 1900's pursued problems of

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This book covers those areas of theoretical population genetics that can be investigated rigorously by elementary mathematical methods. I have tried to formulate the various models fairly generally and to state the biological as sumptions quite explicitly. I hope the choice and treatment of topics will en able the reader

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