Diffusion Models In Population Genetics
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Diffusion Models In Population Genetics
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Author : Motoo Kimura
language : en
Publisher:
Release Date : 1973-01-02
Diffusion Models In Population Genetics written by Motoo Kimura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-01-02 with Population genetics categories.
Population Genetics
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Author : Roman Wolodymyr Voronka
language : en
Publisher:
Release Date : 1974
Population Genetics written by Roman Wolodymyr Voronka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Mathematics categories.
Some Mathematical Models From Population Genetics
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Author : Alison Etheridge
language : en
Publisher: Springer
Release Date : 2011-01-05
Some Mathematical Models From Population Genetics written by Alison Etheridge and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-05 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.
Convergence Of One Dimensional Diffusion Processes To A Jump Process Related To Population Genetics
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Author : M. Iizuka
language : en
Publisher:
Release Date : 1990
Convergence Of One Dimensional Diffusion Processes To A Jump Process Related To Population Genetics written by M. Iizuka and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.
A conjecture on the convergence of diffusion models in population genetics to a simple Markov chain model is proved. The notion of bi-generalized diffusion processes and their limit theorems are used systematically to prove the conjecture. Three limits; strong selection - weak mutation limit, moderate selection - weak mutation limit, weak selection - weak mutation limit are considered for typical diffusion models in population genetics. (JES).
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.
Population Genetics Molecular Evolution And The Neutral Theory
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Author : Motoo Kimura
language : en
Publisher: University of Chicago Press
Release Date : 1994
Population Genetics Molecular Evolution And The Neutral Theory written by Motoo Kimura and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
One of this century's leading evolutionary biologists, Motoo Kimura revolutionized the field with his random drift theory of molecular evolution—the neutral theory—and his groundbreaking theoretical work in population genetics. This volume collects 57 of Kimura's most important papers and covers forty years of his diverse and original contributions to our understanding of how genetic variation affects evolutionary change. Kimura's neutral theory, first presented in 1968, challenged the notion that natural selection was the sole directive force in evolution. Arguing that mutations and random drift account for variations at the level of DNA and amino acids, Kimura advanced a theory of evolutionary change that was strongly challenged at first and that eventually earned the respect and interest of evolutionary biologists throughout the world. This volume includes the seminal papers on the neutral theory, as well as many others that cover such topics as population structure, variable selection intensity, the genetics of quantitative characters, inbreeding systems, and reversibility of changes by random drift. Background essays by Naoyuki Takahata examine Kimura's work in relation to its effects and recent developments in each area.
Stochastic Models In Population Genetics
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Author : Wen-Hsiung Li
language : en
Publisher:
Release Date : 1977
Stochastic Models In Population Genetics written by Wen-Hsiung Li and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematical models categories.
Diffusion Models In Population Genetics
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Author : Motoo Kimura
language : en
Publisher:
Release Date : 1964
Diffusion Models In Population Genetics written by Motoo Kimura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Diffusion categories.
Tutorials In Mathematical Biosciences Iv
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Author : Avner Friedman
language : en
Publisher: Springer
Release Date : 2008-04-26
Tutorials In Mathematical Biosciences Iv written by Avner Friedman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-26 with Mathematics categories.
This book offers an introduction to fast growing research areas in evolution of species, population genetics, ecological models, and population dynamics. It reviews the concept and methodologies of phylogenetic trees, introduces ecological models, examines a broad range of ongoing research in population dynamics, and deals with gene frequencies under the action of migration and selection. The book features computational schemes, illustrations, and mathematical theorems.
Introduction To Reaction Diffusion Equations
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Author : King-Yeung Lam
language : en
Publisher: Springer Nature
Release Date : 2022-12-01
Introduction To Reaction Diffusion Equations written by King-Yeung Lam and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-01 with Mathematics categories.
This book introduces some basic mathematical tools in reaction-diffusion models, with applications to spatial ecology and evolutionary biology. It is divided into four parts. The first part is an introduction to the maximum principle, the theory of principal eigenvalues for elliptic and periodic-parabolic equations and systems, and the theory of principal Floquet bundles. The second part concerns the applications in spatial ecology. We discuss the dynamics of a single species and two competing species, as well as some recent progress on N competing species in bounded domains. Some related results on stream populations and phytoplankton populations are also included. We also discuss the spreading properties of a single species in an unbounded spatial domain, as modeled by the Fisher-KPP equation. The third part concerns the applications in evolutionary biology. We describe the basic notions of adaptive dynamics, such as evolutionarily stable strategies and evolutionary branching points, in the context of a competition model of stream populations. We also discuss a class of selection-mutation models describing a population structured along a continuous phenotypical trait. The fourth part consists of several appendices, which present a self-contained treatment of some basic abstract theories in functional analysis and dynamical systems. Topics include the Krein-Rutman theorem for linear and nonlinear operators, as well as some elements of monotone dynamical systems and abstract competition systems. Most of the book is self-contained and it is aimed at graduate students and researchers who are interested in the theory and applications of reaction-diffusion equations.