Introduction to Theoretical Population Genetics

Introduction to Theoretical Population Genetics

Author: Thomas Nagylaki

Publisher: Springer Science & Business Media

Published: 2013-03-12

Total Pages: 381

ISBN-13: 364276214X

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This book covers those areas of theoretical population genetics that can be investigated rigorously by elementary mathematical methods. I have tried to formulate the various models fairly generally and to state the biological as sumptions quite explicitly. I hope the choice and treatment of topics will en able the reader to understand and evaluate detailed analyses of many specific models and applications in the literature. Models in population genetics are highly idealized, often even over idealized, and their connection with observation is frequently remote. Further more, it is not practicable to measure the parameters and variables in these models with high accuracy. These regrettable circumstances amply justify the use of appropriate, lucid, and rigorous approximations in the analysis of our models, and such approximations are often illuminating even when exact solu tions are available. However, our empirical and theoretical limitations justify neither opaque, incomplete formulations nor unconvincing, inadequate analy ses, for these may produce uninterpretable, misleading, or erroneous results. Intuition is a principal source of ideas for the construction and investigation of models, but it can replace neither clear formulation nor careful analysis. Fisher (1930; 1958, pp. x, 23-24, 38) not only espoused similar ideas, but he recognized also that our concepts of intuition and rigor must evolve in time. The book is neither a review of the literature nor a compendium of results. The material is almost entirely self-contained. The first eight chapters are a thoroughly revised and greatly extended version of my published lecture notes (Nagylaki, 1977a).


The Origins of Theoretical Population Genetics

The Origins of Theoretical Population Genetics

Author: William B. Provine

Publisher: University of Chicago Press

Published: 2020-07-24

Total Pages: 224

ISBN-13: 022678892X

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Tracing the development of population genetics through the writings of such luminaries as Darwin, Galton, Pearson, Fisher, Haldane, and Wright, William B. Provine sheds light on this complex field as well as its bearing on other branches of biology.


Theoretical Aspects of Population Genetics. (MPB-4), Volume 4

Theoretical Aspects of Population Genetics. (MPB-4), Volume 4

Author: Motoo Kimura

Publisher: Princeton University Press

Published: 2020-03-31

Total Pages: 233

ISBN-13: 0691210098

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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.


Theoretical Population Genetics

Theoretical Population Genetics

Author: J.S. Gale

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 428

ISBN-13: 9400903871

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The rise of the neutral theory of molecular evolution seems to have aroused a renewed interest in mathematical population genetics among biologists, who are primarily experimenters rather than theoreticians. This has encouraged me to set out the mathematics of the evolutionary process in a manner that, I hope, will be comprehensible to those with only a basic knowledge of calculus and matrix algebra. I must acknowledge from the start my great debt to my students. Equipped initially with rather limited mathematics, they have pursued the subject with much enthusiasm and success. This has enabled me to try a number of different approaches over the years. I was particularly grateful to Dr L. J. Eaves and Professor W. E. Nance for the opportunity to give a one-semester course at the Medical College of Virginia, and I would like to thank them, their colleagues and their students for the many kindnesses shown to me during my visit. I have concentrated almost entirely on stochastic topics, since these cause the greatest problems for non-mathematicians. The latter are particularly concerned with the range of validity of formulae. A sense of confidence in applying these formulae is, almost certainly, best gained by following their derivation. I have set out proofs in fair detail, since, in my experience, minor points of algebraic manipulation occasionally cause problems. To avoid loss of continuity, I have sometimes put material in notes at the end of chapters.


Theoretical Genetics

Theoretical Genetics

Author: Richard B. Goldschmidt

Publisher: Univ of California Press

Published: 2023-11-10

Total Pages: 574

ISBN-13: 0520346351

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This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1955.


Mathematical Population Genetics 1

Mathematical Population Genetics 1

Author: Warren J. Ewens

Publisher: Springer Science & Business Media

Published: 2004-01-09

Total Pages: 448

ISBN-13: 9780387201917

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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.


Advanced Genetic Counseling

Advanced Genetic Counseling

Author: Barbara B. Biesecker

Publisher:

Published: 2019

Total Pages: 241

ISBN-13: 0190626429

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Introduction to genetic counseling -- History of genetic counseling -- Practice definition and goals -- Characteristics of clients and genetic counseling -- Characteristics of counselors and genetic counseling -- Applying ethical theories to genetic counseling practice -- Conflict of interest and the code of ethics -- Relational genetic counseling -- Theories for genetic counseling practice -- Research in genetic counseling -- Genetic counseling in the genomic era.


Origination of Organismal Form

Origination of Organismal Form

Author: Gerd B. Muller

Publisher: MIT Press

Published: 2003-01-03

Total Pages: 354

ISBN-13: 9780262134194

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A more comprehensive version of evolutionary theory that focuses as much on the origin of biological form as on its diversification. The field of evolutionary biology arose from the desire to understand the origin and diversity of biological forms. In recent years, however, evolutionary genetics, with its focus on the modification and inheritance of presumed genetic programs, has all but overwhelmed other aspects of evolutionary biology. This has led to the neglect of the study of the generative origins of biological form. Drawing on work from developmental biology, paleontology, developmental and population genetics, cancer research, physics, and theoretical biology, this book explores the multiple factors responsible for the origination of biological form. It examines the essential problems of morphological evolution—why, for example, the basic body plans of nearly all metazoans arose within a relatively short time span, why similar morphological design motifs appear in phylogenetically independent lineages, and how new structural elements are added to the body plan of a given phylogenetic lineage. It also examines discordances between genetic and phenotypic change, the physical determinants of morphogenesis, and the role of epigenetic processes in evolution. The book discusses these and other topics within the framework of evolutionary developmental biology, a new research agenda that concerns the interaction of development and evolution in the generation of biological form. By placing epigenetic processes, rather than gene sequence and gene expression changes, at the center of morphological origination, this book points the way to a more comprehensive theory of evolution.