Fundamentals Of Mathematical Evolutionary Genetics

Author : Yuri M. Svirezhev,V.P. Passekov
Publisher : Springer Science & Business Media
Page : 407 pages
File Size : 45,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400925892

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Fundamentals of Mathematical Evolutionary Genetics by Yuri M. Svirezhev,V.P. Passekov Pdf

One service mathematics has rendered the ~Et moi ..., si j'avait su comment en revenir, human race. It has put common sense back je riy serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. o'; 'One service logic has rendered com puter science .. o'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Author : Anthony William Fairbank Edwards
Publisher : Cambridge University Press
Page : 138 pages
File Size : 44,6 Mb
Release : 2000-01-13
Category : Science
ISBN : 0521775442

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Foundations of Mathematical Genetics by Anthony William Fairbank Edwards Pdf

A definitive account of the origins of modern mathematical population genetics, first published in 2000.

Author : Marcus Feldman
Publisher : Princeton University Press
Page : 352 pages
File Size : 48,5 Mb
Release : 2014-07-14
Category : Science
ISBN : 9781400859832

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Mathematical Evolutionary Theory by Marcus Feldman Pdf

An international group of distinguished scientists presents an up-to-date survey of quantitative problems at the forefront of modern evolutionary theory. Their articles illustrate results from the latest research in population and behavioral genetics, molecular evolution, and ecology. Each author gives careful attention to the exposition of the models, the logic of their analysis, and the legitimacy of qualitative biological inferences. The topics covered include stochastic models of finite populations and the sorts of diffusion approximations that are valid for their study, models of migration, kin selection, geneculture coevolution, sexual selection, life-history evolution, the statistics of linkage disequilibrium, and the molecular evolution of repeated DNA sequences and the HLA system in humans. The fourteen contributions are presented in two sections: Part I, Stochastic and Deterministic Genetic Theory, and Part II, Behavior, Ecology, and Evolutionary Genetics. Marcus W. Feldman provides an introduction to each part. The contributors are J. G. Bodmer, W. F. Bodmer, L. L. Cavalli Sforza, F. B. Christiansen, C. Cockerham, W. J. Ewens, M. W. Feldman, J. H. Gillespie, R. R. Hudson, N. L. Kaplan, S. Lessard, U. Liberman, M.E.N. Majerus, P. O'Donald, J. Roughgarden, S. Tavar, M. K. Uyenoyama, G. A. Watterson, and B. Weir. Originally published in 1989. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Warren J. Ewens
Publisher : Springer Science & Business Media
Page : 435 pages
File Size : 43,6 Mb
Release : 2012-10-01
Category : Science
ISBN : 9780387218229

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Mathematical Population Genetics 1 by Warren J. Ewens Pdf

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 : Anthony William Fairbank Edwards
Publisher : Cambridge University Press
Page : 127 pages
File Size : 43,8 Mb
Release : 1977-02-03
Category : Science
ISBN : 0521213258

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Foundations of Mathematical Genetics by Anthony William Fairbank Edwards Pdf

Author : Ken-ichi Kojima
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 53,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642462443

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Mathematical Topics in Population Genetics by Ken-ichi Kojima Pdf

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 : Miroslaw Lachowicz,Jacek Miekisz
Publisher : World Scientific
Page : 242 pages
File Size : 46,8 Mb
Release : 2009
Category : Science
ISBN : 9789812837257

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From Genetics to Mathematics by Miroslaw Lachowicz,Jacek Miekisz Pdf

This volume contains pedagogical and elementary introductions to genetics for mathematicians and physicists as well as to mathematical models and techniques of population dynamics. It also offers a physicist''s perspective on modeling biological processes. Each chapter starts with an overview followed by the recent results obtained by authors. Lectures are self-contained and are devoted to various phenomena such as the evolution of the genetic code and genomes, age-structured populations, demography, sympatric speciation, the Penna model, Lotka-Volterra and other predator-prey models, evolutionary models of ecosystems, extinctions of species, and the origin and development of language. Authors analyze their models from the computational and mathematical points of view.

Author : W. J. Ewens
Publisher : Springer
Page : 354 pages
File Size : 45,5 Mb
Release : 1979-11
Category : Mathematics
ISBN : CORNELL:31924001937170

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Mathematical Population Genetics by W. J. Ewens Pdf

Author : W.J. Ewens
Publisher : Springer Science & Business Media
Page : 153 pages
File Size : 52,5 Mb
Release : 2013-03-12
Category : Science
ISBN : 9789401033558

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Population Genetics by W.J. Ewens Pdf

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 : Alison Etheridge
Publisher : Springer Science & Business Media
Page : 129 pages
File Size : 49,5 Mb
Release : 2011-01-07
Category : Mathematics
ISBN : 9783642166310

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Some Mathematical Models from Population Genetics by Alison Etheridge Pdf

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.

Author : Warren J. Ewens
Publisher : Springer
Page : 418 pages
File Size : 47,5 Mb
Release : 2012-11-06
Category : Science
ISBN : 1468495887

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Mathematical Population Genetics 1 by Warren J. Ewens Pdf

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 : Valeri I. Agoshko , Jean-Pierre Puel
Publisher : EOLSS Publications
Page : 504 pages
File Size : 43,6 Mb
Release : 2009-10-10
Category : Electronic
ISBN : 9781848261297

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MATHEMATICAL MODELS OF LIFE SUPPORT SYSTEMS - Volume II by Valeri I. Agoshko , Jean-Pierre Puel Pdf

Mathematical Models of Life Support Systems is a component of Encyclopedia of Mathematical Sciences in which is part of the global Encyclopedia of Life Support Systems (EOLSS), an integrated compendium of twenty one Encyclopedias. The Theme is organized into several topics which represent the main scientific areas of the theme: The first topic, Introduction to Mathematical Modeling discusses the foundations of mathematical modeling and computational experiments, which are formed to support new methodologies of scientific research. The succeeding topics are Mathematical Models in - Water Sciences; Climate; Environmental Pollution and Degradation; Energy Sciences; Food and Agricultural Sciences; Population; Immunology; Medical Sciences; and Control of Catastrophic Processes. These two volumes are aimed at the following five major target audiences: University and College students Educators, Professional practitioners, Research personnel and Policy analysts, managers, and decision makers and NGOs.

Author : Volker Hosel,Christina Kuttler,Johannes Muller
Publisher : World Scientific
Page : 578 pages
File Size : 45,6 Mb
Release : 2020-03-13
Category : Science
ISBN : 9789811205514

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Mathematical Population Genetics And Evolution Of Bacterial Cooperation by Volker Hosel,Christina Kuttler,Johannes Muller Pdf

Social life of bacteria is in the focus of recent research. Bacteria are simple enough to be accessible by science, but still complex enough to show cooperation, division of labor, bet-hedging, cross-talk and synchronized activities, and a rich variety of social traits. A central question of evolutionary theory is the explanation why this social life did develop, and why these systems are evolutionary stable. This book introduces the reader into the theory of evolution, covering classical models and as well as recent developments. The theory developed is used to represent the up-to-date understanding of social bacteria.This book will be useful for students and lecturers interested in mathematical evolutionary theory, as well as for researchers as a reference.

Author : Lynn Arthur Steen
Publisher : MAA
Page : 182 pages
File Size : 51,7 Mb
Release : 2005
Category : Mathematics
ISBN : 0883858185

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Math and Bio 2010 by Lynn Arthur Steen Pdf

"Math and bio 2010 grew out of 'Meeting the Challenges: Education across the Biological, Mathematical and Computer Sciences,' a joint project of the Mathematical Association of America (MAA), the National Science Foundation Division of Undergraduate Education (NSF DUE), the National Institute of General Medical Sciences (NIGMS), the American Association for the Advancement of Science (AAAS), and the American Society for Microbiology (ASM)."--Foreword, p. vi

Author : Sean H. Rice
Publisher : Sinauer Associates Incorporated
Page : 370 pages
File Size : 52,9 Mb
Release : 2004
Category : Mathematics
ISBN : 0878937021

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Evolutionary Theory by Sean H. Rice Pdf

Evolutionary Theory is for graduate students, researchers, and advanced undergraduates who want an understanding of the mathematical and biological reasoning that underlies evolutionary theory. The book covers all of the major theoretical approaches used to study the mechanics of evolution, including classical one- and two-locus models, diffusion theory, coalescent theory, quantitative genetics, and game theory. There are also chapters on theoretical approaches to the evolution of development and on multilevel selection theory. Each subject is illustrated by focusing on those results that have the greatest power to influence the way that we think about how evolution works. These major results are developed in detail, with many accompanying illustrations, showing exactly how they are derived and how the mathematics relates to the biological insights that they yield. In this way, the reader learns something of the actual machinery of different branches of theory while gaining a deeper understanding of the evolutionary process. Roughly half of the book focuses on gene-based models, the other half being concerned with general phenotype-based theory. Throughout, emphasis is placed on the fundamental relationships between the different branches of theory, illustrating how all of these branches are united by a few basic, universal, principles. The only mathematical background assumed is basic calculus. More advanced mathematical methods are explained, with the help of an extensive appendix, when they are needed.