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Author : Ethan Akin
Publisher : Unknown
Page : 216 pages
File Size : 43,9 Mb
Release : 1979-11-01
Category : Electronic
ISBN : 3642931294
Author : Julian Hofrichter
Publisher : Unknown
Page : 128 pages
File Size : 42,7 Mb
Release : 2017
Category : Electronic book
ISBN : 3319520466
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.
Author : Ethan Akin
Publisher : Springer Science & Business Media
Page : 212 pages
File Size : 44,8 Mb
Release : 2013-04-09
Category : Mathematics
ISBN : 9783642931284
The differential equations which model the action of selection and recombination are nonlinear equations which are impossible to It is even difficult to describe in general the solve explicitly. Recently, Shahshahani began using qualitative behavior of solutions. differential geometry to study these equations [28]. with this mono graph I hope to show that his ideas illuminate many aspects of pop ulation genetics. Among these are his proof and clarification of Fisher's Fundamental Theorem of Natural Selection and Kimura's Maximum Principle and also the effect of recombination on entropy. We also discover the relationship between two classic measures of 2 genetic distance: the x measure and the arc-cosine measure. There are two large applications. The first is a precise definition of the biological concept of degree of epistasis which applies to general (i.e. frequency dependent) forms of selection. The second is the unexpected appearance of cycling. We show that cycles can occur in the two-locus-two-allele model of selection plus recombination even when the fitness numbers are constant (i.e. no frequency dependence). This work is addressed to two different kinds of readers which accounts for its mode of organization. For the biologist, Chapter I contains a description of the entire work with brief indications of a proof for the harder results. I imagine a reader with some familiarity with linear algebra and systems of differential equations. Ideal background is Hirsch and Smale's text [15].
Author : John H. Gillespie
Publisher : JHU Press
Page : 263 pages
File Size : 43,5 Mb
Release : 2004-08-06
Category : Medical
ISBN : 9780801880087
Publisher Description
Author : Julian Hofrichter,Jürgen Jost,Tat Dat Tran
Publisher : Springer
Page : 320 pages
File Size : 44,6 Mb
Release : 2017-02-23
Category : Mathematics
ISBN : 9783319520452
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.
Author : W.J. Ewens
Publisher : Springer Science & Business Media
Page : 153 pages
File Size : 42,9 Mb
Release : 2013-03-12
Category : Science
ISBN : 9789401033558
Population genetics is the mathematical investigation of the changes in the genetic structure of populations brought about by selection, mutation, inbreeding, migration, and other phenomena, together with those random changes deriving from chance events. These changes are the basic components of evolutionary progress, and an understanding of their effect is therefore necessary for an informed discussion of the reasons for and nature of evolution. It would, however, be wrong to pretend that a mathematical theory, depending as it must on a large number of simplifying assump tions, should be accepted unreservedly and that its conclusions should be accepted uncritically. No-one would pretend that in the event of disagreement between observation and mathematical prediction, the discrepancy is due to anything other than the inadequacy of the mathematical treatment. The biological world is, of course, far too complex for the study of population genetics to be simply a branch of applied mathematics, so that while we are concerned here with the mathematical theory, I have tried to indicate which of our results should continue to apply in a context wider than that in which they are formally derived. The difficulties involved in the joint discussions of mathematical and genetical problems are obvious enough. I have tried to aim this book rather more at the mathematician than at the geneticist, and for this reason a brief glossary of common genetical terms is included.
Author : Steven H. Rogstad,Stephan Pelikan
Publisher : CRC Press
Page : 330 pages
File Size : 50,7 Mb
Release : 2011-09-02
Category : Nature
ISBN : 9781439874486
The new research described in this book demonstrates that the interplay of a host of founding conditions can frequently produce profound differences in population expansion rates and maintenance of genetic diversity in contrasting populations that differ, often only to slight degrees, in initial founding conditions. The goals of this book are twofo
Author : Daniel L. Hartl,Andrew G. Clark
Publisher : Sinauer Associates, Incorporated
Page : 712 pages
File Size : 44,8 Mb
Release : 1989
Category : Science
ISBN : UOM:49015002193051
Darwinian evolution in mendelian populations. Random genetic drift. Mutation and the neutral theory. Natural selection. Inbreeding and other forms of nonrandom mating. Population subdivision and migration. Molecular population genetics. Evolutionary genetics of quantitative characters. Ecological genetics and speciation.
Author : Rafael Maia,Magnólia Campos
Publisher : BoD – Books on Demand
Page : 72 pages
File Size : 42,7 Mb
Release : 2019-03-20
Category : Medical
ISBN : 9781789857771
Population genetics is the basis of evolutionary studies, and has been widely used in several researches. This recent field of science has important applications for the management of populations (natural and domesticated), as well as for evolutionary studies of the various factors that affect gene frequencies over time and spatial distribution.In this work, presented in three sections (Population and Quantitative Genetics, Genetic Diversity in Crop Management, Population Genetics for Conservation Studies), the reader will find cutting-edge information in carefully selected and revised works.This book is intended for all researchers, academics, and students who are interested in the intriguing area of population genetics.
Author : Ken-ichi Kojima
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 48,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642462443
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 : Ching Chun Li
Publisher : Unknown
Page : 392 pages
File Size : 51,8 Mb
Release : 1955
Category : Population genetics
ISBN : UOM:39015008853114
Author : Philip Hedrick
Publisher : Jones & Bartlett Learning
Page : 690 pages
File Size : 47,8 Mb
Release : 2011-08-24
Category : Science
ISBN : 9780763757373
The Fourth Edition of Genetics of Populations is the most current, comprehensive, and accessible introduction to the field for advanced undergraduate and graduate students, and researchers in genetics, evolution, conservation, and related fields. In the past several years, interest in the application of population genetics principles to new molecular data has increased greatly, and Dr. Hedrick's new edition exemplifies his commitment to keeping pace with this dynamic area of study. Reorganized to allow students to focus more sharply on key material, the Fourth Edition integrates coverage of theoretical issues with a clear presentation of experimental population genetics and empirical data. Drawing examples from both recent and classic studies, and using a variety of organisms to illustrate the vast developments of population genetics, this text provides students and researchers with the most comprehensive resource in the field.
Author : Ching Chun Li
Publisher : Unknown
Page : 346 pages
File Size : 55,9 Mb
Release : 1948
Category : Science
ISBN : UOM:39015046795020
Author : James Franklin Crow,Motoo Kimura
Publisher : Unknown
Page : 618 pages
File Size : 41,6 Mb
Release : 1970
Category : Science
ISBN : UCSD:31822001959337
Author : Matthew B. Hamilton
Publisher : John Wiley & Sons
Page : 658 pages
File Size : 41,8 Mb
Release : 2011-09-23
Category : Science
ISBN : 9781444362459
This book aims to make population genetics approachable, logical and easily understood. To achieve these goals, the book’s design emphasizes well explained introductions to key principles and predictions. These are augmented with case studies as well as illustrations along with introductions to classical hypotheses and debates. Pedagogical features in the text include: Interact boxes that guide readers step-by-step through computer simulations using public domain software. Math boxes that fully explain mathematical derivations. Methods boxes that give insight into the use of actual genetic data. Numerous Problem boxes are integrated into the text to reinforce concepts as they are encountered. Dedicated website at www.wiley.com/go/hamiltongenetics This text also offers a highly accessible introduction to coalescent theory, the major conceptual advance in population genetics of the last two decades.
