Mathematical Topics In Population Genetics

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Mathematical Topics In Population Genetics

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Author : Ken-ichi Kojima
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Mathematical Topics In Population Genetics written by Ken-ichi Kojima and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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 heredity by means of mathe matics and mathematical statistics. They failed to find the principles of heredity, but succeeded to establish an interdisciplinary area between mathematics and biology, which we call now Biometrics, Biometry, or Applied Statistics. A monumental work in the field of popUlation genetics was published by the late R. A. Fisher, who analyzed "the correlation among relatives" based on Mendelian gene theory (1918). This theoretical analysis over came "so-called blending inheritance" theory, and the orientation of Galtonian explanations for correlations among relatives for quantitative traits rapidly changed. We must not forget the experimental works of Johanson (1909) and Nilsson-Ehle (1909) which supported Mendelian gene theory. However, a large scale experiment for a test of segregation and linkage of Mendelian genes affecting quantitative traits was, prob ably for the first time, conducted by K. Mather and his associates and Panse in the 1940's.

Mathematical Population Genetics 1

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Author : Warren J. Ewens
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-01

Mathematical Population Genetics 1 written by Warren J. Ewens and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-01 with Science categories.

This is the first of a planned two-volume work discussing the mathematical aspects of population genetics with an emphasis on evolutionary theory. This volume draws heavily from the author’s 1979 classic, but it has been revised and expanded to include recent topics which follow naturally from the treatment in the earlier edition, such as the theory of molecular population genetics.

Understanding Population Genetics

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Author : Torbjörn Säll
language : en
Publisher: John Wiley & Sons
Release Date : 2017-07-14

Understanding Population Genetics written by Torbjörn Säll and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-14 with Science categories.

An inspiring introduction to a vital scientific field. The reader is taken through ten mathematical derivations that lead to important results, explaining in a hands-on manner the key concepts and methods of theoretical population genetics. The derivations are carefully worked out and easy to follow. Particular attention is given to the underlying assumptions and the mathematics used. The results are discussed and broadened out with relevant current implications. All topics feature questions with helpful answers. The book is intended for the reader who already knows some population genetics but requires a more comprehensive understanding. It is particularly suited to those who analyse genetic data and wish to better grasp what their results actually mean. It will also be helpful for those who wish to understand how population genetics contributes to the explanation of evolution. Or as the writers claim: If one wants to understand life – in all its improbable and amazing richness – one must start by understanding population genetics.

Mathematical Population Genetics 1

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Author : Warren J. Ewens
language : en
Publisher: Springer
Release Date : 2012-11-06

Mathematical Population Genetics 1 written by Warren J. Ewens and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-06 with Science categories.

This is the first of a planned two-volume work discussing the mathematical aspects of population genetics with an emphasis on evolutionary theory. This volume draws heavily from the author’s 1979 classic, but it has been revised and expanded to include recent topics which follow naturally from the treatment in the earlier edition, such as the theory of molecular population genetics.

Some Mathematical Models From Population Genetics

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Author : Alison Etheridge
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-07

Some Mathematical Models From Population Genetics written by Alison Etheridge and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-07 with Mathematics categories.

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.

Mathematical Population Genetics

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Author : W. J. Ewens
language : en
Publisher: Springer
Release Date : 1979-11

Mathematical Population Genetics written by W. J. Ewens and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979-11 with Mathematics categories.

Mathematical Structures In Population Genetics

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Author : I︠U︡riĭ Ilʹich Li︠u︡bich
language : en
Publisher: Springer
Release Date : 1992-03-16

Mathematical Structures In Population Genetics written by I︠U︡riĭ Ilʹich Li︠u︡bich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-03-16 with Mathematics categories.

Very Good,No Highlights or Markup,all pages are intact.

Some Mathematical Questions In Biology

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Author : Alan Hastings
language : en
Publisher: American Mathematical Soc.
Release Date : 1989-12-31

Some Mathematical Questions In Biology written by Alan Hastings and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-12-31 with Science categories.

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 biology. Simultaneously, advances in experimental and field work have produced a wealth of new data. While this growth has tended to fragment the field, one unifying theme is that similar mathematical questions arise in a range of biological contexts. This volume contains the proceedings of a symposium on Some Mathematical Questions in Biology, held in Chicago in 1987. The papers all deal with different aspects of population biology, but there are overlaps in the mathematical techniques used; for example, dynamics of nonlinear differential and difference equations form a common theme. The topics covered are cultural evolution, multilocus population genetics, spatially structured population genetics, chaos and the dynamics of epidemics, and the dynamics of ecological communities.

Mathematics Of Genetic Diversity

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Author : J. F. C. Kingman
language : en
Publisher: SIAM
Release Date : 1980-01-01

Mathematics Of Genetic Diversity written by J. F. C. Kingman and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Science categories.

This book draws together some mathematical ideas that are useful in population genetics, concentrating on a few aspects which are both biologically relevant and mathematically interesting.

Theoretical Aspects Of Population Genetics Mpb 4 Volume 4

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Author : Motoo Kimura
language : en
Publisher: Princeton University Press
Release Date : 2020-03-31

Theoretical Aspects Of Population Genetics Mpb 4 Volume 4 written by Motoo Kimura and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-03-31 with Science categories.

To show the importance of stochastic processes in the change of gene frequencies, the authors discuss topics ranging from molecular evolution to two-locus problems in terms of diffusion models. Throughout their discussion, they come to grips with one of the most challenging problems in population genetics--the ways in which genetic variability is maintained in Mendelian populations. R.A. Fisher, J.B.S. Haldane, and Sewall Wright, in pioneering works, confirmed the usefulness of mathematical theory in population genetics. The synthesis their work achieved is recognized today as mathematical genetics, that branch of genetics whose aim is to investigate the laws governing the genetic structure of natural populations and, consequently, to clarify the mechanisms of evolution. For the benefit of population geneticists without advanced mathematical training, Professors Kimura and Ohta use verbal description rather than mathematical symbolism wherever practicable. A mathematical appendix is included.