An Error Estimate For The Diffusion Approximation In Population Genetics
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An Error Estimate For The Diffusion Approximation In Population Genetics
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Author : Stewart N. Ethier
language : en
Publisher:
Release Date : 1975
An Error Estimate For The Diffusion Approximation In Population Genetics written by Stewart N. Ethier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Genetics categories.
Stochastic Problems In Population Genetics
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Author : T. Maruyama
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-13
Stochastic Problems In Population Genetics written by T. Maruyama and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-13 with Mathematics categories.
These are" notes based on courses in Theoretical Population Genetics given at the University of Texas at Houston during the winter quarter, 1974, and at the University of Wisconsin during the fall semester, 1976. These notes explore problems of population genetics and evolution involving stochastic processes. Biological models and various mathematical techniques are discussed. Special emphasis is given to the diffusion method and an attempt is made to emphasize the underlying unity of various problems based on the Kolmogorov backward equation. A particular effort was made to make the subject accessible to biology students who are not familiar with stochastic processes. The references are not exhaustive but were chosen to provide a starting point for the reader interested in pursuing the subject further. Acknowledgement I would like to use this opportunity to express my thanks to Drs. J. F. Crow, M. Nei and W. J. Schull for their hospitality during my stays at their universities. I am indebted to Dr. M. Kimura for his continuous encouragement. My thanks also go to the small but resolute groups of.students, visitors and colleagues whose enthusiasm was a great source of encouragement. I am especially obliged to Dr. Martin Curie-Cohen and Dr. Crow for reading a large part eX the manuscript and making many valuable comments. Special gratitude is expressed to Miss Sumiko Imamiya for her patience and endurance and for her efficient preparation of the manuscript.
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.
Approximation Of Population Processes
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Author : Thomas G. Kurtz
language : en
Publisher: SIAM
Release Date : 1981-02-01
Approximation Of Population Processes written by Thomas G. Kurtz and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-02-01 with Mathematics categories.
This monograph considers approximations that are possible when the number of particles in population processes is large
Mathematical Population Genetics 1
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Author : Warren J. Ewens
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-01-09
Mathematical Population Genetics 1 written by Warren J. Ewens and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-01-09 with Science categories.
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.
Measure Theory Applications To Stochastic Analysis
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Author : G. Kallianpur
language : en
Publisher: Springer
Release Date : 2006-11-15
Measure Theory Applications To Stochastic Analysis written by G. Kallianpur and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Mathematics Of Genetic Diversity
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Author : J. F. C. Kingman
language : en
Publisher: SIAM
Release Date : 1980-01-01
Mathematics Of Genetic Diversity written by J. F. C. Kingman and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Science categories.
This book draws together some mathematical ideas that are useful in population genetics, concentrating on a few aspects which are both biologically relevant and mathematically interesting.
Information Geometry And Population Genetics
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Author : Julian Hofrichter
language : en
Publisher: Springer
Release Date : 2017-02-23
Information Geometry And Population Genetics written by Julian Hofrichter and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-23 with Mathematics categories.
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.
The Foundations Of Population Genetics
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Author : Daniel M. Weinreich
language : en
Publisher: MIT Press
Release Date : 2023-08-29
The Foundations Of Population Genetics written by Daniel M. Weinreich and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-29 with Science categories.
An accessible but rigorous treatment of the theoretical foundations of population genetics. Population genetics—the branch of evolutionary biology concerned with understanding how and why populations’ genetic compositions change over time—rests on a well-developed theoretical foundation that draws on genetics, mathematics, and computer science. This textbook provides an approachable but rigorous treatment for advanced undergraduate and graduate students interested in building a quantitative understanding of the genetics of evolution. Existing texts either assume very mathematically advanced readers, or avoid much of the underlying theory, instead focusing on current methods of data analysis. In contrast, The Foundations of Population Genetics develops the theory from first principles. Requiring only confidence in algebra, this self-contained, student-friendly book illustrates the conceptual framework, terminology, and methods of mathematical modeling. It progressively introduces concepts from genetics as needed, while emphasizing biological implications throughout. As a result, readers come away with a deep understanding of the structure of population genetics without needing to master its mathematics. Connects theory with the most recent genetic data better than existing texts Features engaging real-world examples and extensive original figures Provides dozens of carefully scaffolded questions that deepen the reader's understanding of key concepts Ideal as a succinct reference for established scientists in biology, medicine, and computer science Instructor resources available
Proceedings Of The Third Japan Ussr Symposium On Probability Theory
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Author : G. Maruyama
language : en
Publisher: Springer
Release Date : 2006-11-14
Proceedings Of The Third Japan Ussr Symposium On Probability Theory written by G. Maruyama and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.