The Mathematical Theory Of Selection Recombination And Mutation PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download The Mathematical Theory Of Selection Recombination And Mutation PDF full book. Access full book title The Mathematical Theory Of Selection Recombination And Mutation.
Author | : R. Bürger |
Publisher | : John Wiley & Sons |
Total Pages | : 432 |
Release | : 2000-11-02 |
Genre | : Mathematics |
ISBN | : |
Download The Mathematical Theory of Selection, Recombination, and Mutation Book in PDF, ePub and Kindle
"It is close to being a masterpiece...could well be the classic presentation of the area." Warren J. Ewens, University of Pennsylvania, USA Population genetics is concerned with the study of the genetic, ecological, and evolutionary factors that influence and change the genetic composition of populations. The emphasis here is on models that have a direct bearing on evolutionary quantitative genetics. Applications concerning the maintenance of genetic variation in quantitative traits and their dynamics under selection are treated in detail. * Provides a unified, self-contained and in-depth study of the theory of multilocus systems * Introduces the basic population-genetic models * Explores the dynamical and equilibrium properties of the distribution of quantitative traits under selection * Summarizes important results from more demanding sections in a comprehensible way * Employs a clear and logical presentation style Following an introduction to elementary population genetics and discussion of the general theory of selection at two or more loci, the author considers a number of mutation-selection models, and derives the dynamical equations for polygenic traits under general selective regimes. The final chapters are concerned with the maintenance of quantitative-genetic variation, the response to directional selection, the evolutionary role of deleterious mutations, and other topics. Graduate students and researchers in population genetics, evolutionary theory, and biomathematics will benefit from the in-depth coverage. This text will make an excellent reference volume for the fields of quantitative genetics, population and theoretical biology.
Author | : Steven Neil Evans |
Publisher | : |
Total Pages | : 128 |
Release | : 2013 |
Genre | : Evolutionary genetics |
ISBN | : 9780821895115 |
Download A Mutation-selection Model with Recombination for General Genotypes Book in PDF, ePub and Kindle
We investigate a continuous time, probability measure-valued dynamical system that describes the process of mutation-selection balance in a context where the population is infinite, there may be infinitely many loci, and there are weak assumptions on selective costs. Our model arises when we incorporate very general recombination mechanisms into an earlier model of mutation and selection presented by Steinsaltz, Evans and Wachter in 2005 and take the relative strength of mutation and selection to be sufficiently small. The resulting dynamical system is dynamical system a flow of measures on the space of loci. Each such measure is the intensity measure of a Poisson random measure on the space of loci: intensity measure the points of a realization of the random measure record the set of loci at which the genotype of a uniformly chosen individual differs from a reference wild type due to an accumulation of ancestral mutations. Our motivation for working in such a general setting is to provide a basis for understanding mutation-driven changes in age-specific demographic schedules that arise from the complex interaction of many genes, and hence to develop a framework for understanding the evolution of aging. We establish the existence and uniqueness of the dynamical system, provide conditions for the existence and stability of equilibrium states, and prove that our continuous-time dynamical system is the limit of a sequence of discrete-time infinite population mutation-selection-recombination models in the standard asymptotic regime where selection and mutation are weak relative to recombination and both scale at the same infinitesimal rate in the limit.
Author | : Michael George Bulmer |
Publisher | : Clarendon Press |
Total Pages | : 272 |
Release | : 1985 |
Genre | : Language Arts & Disciplines |
ISBN | : |
Download The Mathematical Theory of Quantitative Genetics Book in PDF, ePub and Kindle
This book emphasizes discussion of the underlying principles of the theory of quantitative genetics which provides the bridge between the observable statistical properties of a character and the gentic factors, which together with environmental factors, determine the expression of the character. "An essential reference for anyone concerned with quantitative genetics. . . . Provides the only review available of the parts of quantitative genetics relevant to evolutionary theory."--Science
Author | : Ken-ichi Kojima |
Publisher | : Springer Science & Business Media |
Total Pages | : 408 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642462448 |
Download Mathematical Topics in Population Genetics Book in PDF, ePub and Kindle
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.
Author | : Igor M. Rouzine |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 207 |
Release | : 2020-11-23 |
Genre | : Mathematics |
ISBN | : 3110608197 |
Download One-Locus and Multi-Locus Theory and Recombination Book in PDF, ePub and Kindle
The book will benefit a reader with a background in physical sciences and applied mathematics interested in the mathematical models of genetic evolution. In the first chapter, we analyze several thought experiments based on a basic model of stochastic evolution of a single genomic site in the presence of the factors of random mutation, directional natural selection, and random genetic drift. In the second chapter, we present a more advanced theory for a large number of linked loci. In the third chapter, we include the effect of genetic recombination into account and find out the advantage of sexual reproduction for adaptation. These models are useful for the evolution of a broad range of asexual and sexual populations, including virus evolution in a host and a host population.
Author | : Institute of Mathematics and Its Applications |
Publisher | : |
Total Pages | : 368 |
Release | : 1973 |
Genre | : Science |
ISBN | : |
Download The Mathematical Theory of the Dynamics of Biological Populations Book in PDF, ePub and Kindle
Author | : Steven Neil Evans |
Publisher | : American Mathematical Soc. |
Total Pages | : 142 |
Release | : 2013-02-26 |
Genre | : Mathematics |
ISBN | : 0821875698 |
Download A Mutation-Selection Model with Recombination for General Genotypes Book in PDF, ePub and Kindle
The authors investigate a continuous time, probability measure-valued dynamical system that describes the process of mutation-selection balance in a context where the population is infinite, there may be infinitely many loci, and there are weak assumptions on selective costs. Their model arises when they incorporate very general recombination mechanisms into an earlier model of mutation and selection presented by Steinsaltz, Evans and Wachter in 2005 and take the relative strength of mutation and selection to be sufficiently small. The resulting dynamical system is a flow of measures on the space of loci. Each such measure is the intensity measure of a Poisson random measure on the space of loci: the points of a realization of the random measure record the set of loci at which the genotype of a uniformly chosen individual differs from a reference wild type due to an accumulation of ancestral mutations. The authors' motivation for working in such a general setting is to provide a basis for understanding mutation-driven changes in age-specific demographic schedules that arise from the complex interaction of many genes, and hence to develop a framework for understanding the evolution of aging.
Author | : W.J. Ewens |
Publisher | : Springer |
Total Pages | : 176 |
Release | : 1969-02-28 |
Genre | : Medical |
ISBN | : |
Download Population Genetics Book in PDF, ePub and Kindle
The hardy-weinberg law; Selection and mutation; The fundamental teorem of natural selection; Stochastic treatment; discrete processes; Diffusion approximations; Applications; Results derived from branching processes; Two-locus behaviour; Linkage; Dominance.
Author | : Warren J. Ewens |
Publisher | : Springer Science & Business Media |
Total Pages | : 435 |
Release | : 2012-10-01 |
Genre | : Science |
ISBN | : 038721822X |
Download Mathematical Population Genetics 1 Book in PDF, ePub and Kindle
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.
Author | : Charles J. Mode |
Publisher | : World Scientific |
Total Pages | : 695 |
Release | : 2012 |
Genre | : Mathematics |
ISBN | : 9814350680 |
Download Stochastic Processes in Genetics and Evolution Book in PDF, ePub and Kindle
Prologue; Acknowledgments; Contents; 1. An Introduction to Mathematical Probability with Applications in Mendelian Genetics; 1.1 Introduction; 1.2 Mathematical Probability in Mendelian Genetics; 1.3 Examples of Finite Probability Spaces; Example 1.3.1: An Equal Frequency Model; Example 1.3.2: Partitions of an Abstract Set; Example 1.3.3: A Deterministic Case; Example 1.3.4: Inheritance of Eye Color and Sex; 1.4 Elementary Combinatorial Analysis; 1.5 The Binomial Distribution; Example 1.5.1: Distribution of Boys and Girls in Families of Size N.