Stochastic Processes In Genetics And Evolution

Author : Charles J. Mode
Publisher : World Scientific
ISBN 13 : 9814350680
Total Pages : 695 pages
Book Rating : 4.86/5 ( download)

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Download or read book Stochastic Processes in Genetics and Evolution written by Charles J. Mode and published by World Scientific. This book was released on 2012 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : T Maruyama
Publisher :
ISBN 13 : 9783642930669
Total Pages : 260 pages
Book Rating : 4.62/5 ( download)

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Download or read book Stochastic Problems in Population Genetics written by T Maruyama and published by . This book was released on 1977-08-01 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : T. Maruyama
Publisher : Springer Science & Business Media
ISBN 13 : 3642930654
Total Pages : 254 pages
Book Rating : 4.52/5 ( download)

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Download or read book Stochastic Problems in Population Genetics written by T. Maruyama and published by Springer Science & Business Media. This book was released on 2013-03-13 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author :
Publisher :
ISBN 13 : 9780387083490
Total Pages : 245 pages
Book Rating : 4.99/5 ( download)

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Download or read book Stochastic Problems in Population Genetics written by and published by . This book was released on 1977 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Charles J. Mode
Publisher : World Scientific
ISBN 13 : 9814350672
Total Pages : 695 pages
Book Rating : 4.79/5 ( download)

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Download or read book Stochastic Processes in Genetics and Evolution written by Charles J. Mode and published by World Scientific. This book was released on 2012 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of this book is the field of evolutionary genetics. The book contains new methods for simulating evolution at the genomic level. It sets out applications using up to date Monte Carlo simulation methods applied in classical population genetics, and sets out new fields of quantifying mutation and selection at the Mendelian level. A serious limitation of Wright-Fisher process, the assumption that population size is constant, motivated the introduction of self regulating branching processes in this book. While providing a short review of the principles of probability and its application and using computer intensive methods whilst applying these principles, this book explains how it is possible to derive new formulas expressed in terms of matrix algebra providing new insights into the classical Wright-Fisher processes of evolutionary genetics. Also covered are the development of new methods for studying genetics and evolution, simulating nucleotide substitutions of a DNA molecule and on self regulating branching processes. Components of natural selection are studied in terms of reproductive success of each genotype whilst also studying the differential ability of genotypes to compete for resources and sexual selection. The concept of the gene is also reviewed in this book, and it provides a current definition of a gene based on very recent experiments with micro-array technologies. A development of stochastic models for simulating the evolution of model genomes concludes the studies in this book. Deserving of a place on the book shelves of workers in biomathematics, applied probability, stochastic processes and statistics, as well as in bioinformatics and phylogenetics, it will also be relevant to those interested in computer simulation, and evolutionary biologists interested in quantitative methods.

Author : Narendra S. Goel
Publisher : Elsevier
ISBN 13 : 1483278107
Total Pages : 282 pages
Book Rating : 4.00/5 ( download)

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Download or read book Stochastic Models in Biology written by Narendra S. Goel and published by Elsevier. This book was released on 2013-10-22 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stochastic Models in Biology describes the usefulness of the theory of stochastic process in studying biological phenomena. The book describes analysis of biological systems and experiments though probabilistic models rather than deterministic methods. The text reviews the mathematical analyses for modeling different biological systems such as the random processes continuous in time and discrete in state space. The book also discusses population growth and extinction through Malthus' law and the work of MacArthur and Wilson. The text then explains the dynamics of a population of interacting species. The book also addresses population genetics under systematic evolutionary pressures known as deterministic equations and genetic changes in a finite population known as stochastic equations. The text then turns to stochastic modeling of biological systems at the molecular level, particularly the kinetics of biochemical reactions. The book also presents various useful equations such as the differential equation for generating functions for birth and death processes. The text can prove valuable for biochemists, cellular biologists, and researchers in the medical and chemical field who are tasked to perform data analysis.

Author : Peter Donnelly
Publisher : Springer
ISBN 13 : 9781475726091
Total Pages : 0 pages
Book Rating : 4.90/5 ( download)

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Download or read book Progress in Population Genetics and Human Evolution written by Peter Donnelly and published by Springer. This book was released on 2011-03-20 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Devoted to the collection, interpretation and analysis of population genetic data, topics included here include studies on human evolutionary history, molecular techniques for generating data, statistical and computational techniques for the interpretation of such data, and stochastic models for genealogy and population structure. The book reflects the close interaction between experimental molecular biologists and theoreticians, and as such will be useful for specialists in the area, as well as mathematicians, statisticians, computer scientists and biologists wanting a brief overview of current problems in the field.

Author : Wen-Hsiung Li
Publisher :
ISBN 13 :
Total Pages : 504 pages
Book Rating : 4.96/5 ( download)

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Download or read book Stochastic Models in Population Genetics written by Wen-Hsiung Li and published by . This book was released on 1977 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Motoo Kimura
Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.79/5 ( download)

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Download or read book Stochastic Processes in Population Genetics written by Motoo Kimura and published by . This book was released on 1956 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Rick Durrett
Publisher : Springer Science & Business Media
ISBN 13 : 1475762852
Total Pages : 246 pages
Book Rating : 4.53/5 ( download)

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Download or read book Probability Models for DNA Sequence Evolution written by Rick Durrett and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: "What underlying forces are responsible for the observed patterns of variability, given a collection of DNA sequences?" In approaching this question a number of probability models are introduced and anyalyzed.Throughout the book, the theory is developed in close connection with data from more than 60 experimental studies that illustrate the use of these results.