Probability models for DNA sequence evolution

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This book serves as an introduction to, and a compilation of, results in the new and growing field of probability theory for DNA evolution. The author is a probabilist, but he has made an effort to appeal to biologists and mathematicians alike. Biologists will find in this book those methods used for studying DNA variability that go beyond straightforward applications of statistics and require genuine mathematical insight into the underlying mechanisms.


The example data are real and the driving motivation is to understand these truthfully. Mathematicians will find in this book not an attempt to develop some abstract theory, but rather a kaleidoscopic collection of ideas and methods invented to attack a common problem.

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The emphasis is on catching the main ideas in down-to-earth calculations; continuum models and more sophisticated methods from analysis are avoided. The book starts with the Wright-Fisher model for neutral selection in a constant population, and then builds and varies on this in Chapters by adding the effects of mutation, recombination, selection, nonconstant population sizes and spatial structure. Chapter 4 is devoted to statistical tests for detecting departures from the neutral model and Chapter 5 discusses the large-scale structure of the DNA such as the size and number of chromosomes, inversions, translocations and duplications.

This book will serve as a useful guide to this new and exciting field and an inspiration even for the more experienced readers. It also can be considered as reference book fro researchers in the theme.

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The book discusses probability models for population genetics focusing on analytical results and their proofs. One of its main aims is to build a bridge between biologists on the one hand, and mathematicians … on the other hand.

Probability Models For Dna Sequence Evolution by Durett: Springer - BookVistas

This is mainly due to the fact that a lot of material has been added. Swart, Mathematical Reviews, Issue k. The expansion incorporates both an increase in the range of topics covered and an update in light of recent work. JavaScript is currently disabled, this site works much better if you enable JavaScript in your browser.

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Mathematics Probability Theory and Stochastic Processes. Probability and Its Applications Free Preview. Second edition of a successful book covering genetics, one of the fastest growing areas of active research Author Durrett is a very well-known probabilist Assumes no previous knowledge of biology and only a basic knowledge of probability Includes data from numerous experimental studies from the biological literature see more benefits.

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  • Probability Models for DNA Sequence Evolution / Edition 2.

Buy Hardcover. Buy Softcover. FAQ Policy. About this book How is genetic variability shaped by natural selection, demographic factors, and random genetic drift?

On calculating the probability of a set of orthologous sequences

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Explanation of Tajima's D, a statistic used in molecular evolution studies of DNA sequences

USD Sign in to Purchase Instantly. Temporarily Out of Stock Online Please check back later for updated availability. Overview "What underlying forces are responsible for the observed patterns of variability, given a collection of DNA sequences? 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.