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Item Details
Title: PROBABILITY MODELS FOR DNA SEQUENCE EVOLUTION
By: Richard Durrett
Format: Hardback

List price: £49.99


We currently do not stock this item, please contact the publisher directly for further information.

ISBN 10: 038795435X
ISBN 13: 9780387954356
Publisher: SPRINGER-VERLAG NEW YORK INC.
Pub. date: 1 January, 2002
Series: Probability and its Applications
Pages: 248
Description: Deals with the question: Given a collection of DNA sequences, what underlying forces are responsible for the observed patterns of variability? To approach this question, this title introduces and analyzes a number of probability models: the Wright-Fisher model, the coalescent, the infinite alleles model, and the infinite sites model.
Synopsis: Our basic question is: Given a collection of DNA sequences, what underlying forces are responsible for the observed patterns of variability? To approach this question we introduce and analyze a number of probability models: the Wright-Fisher model, the coalescent, the infinite alleles model, and the infinite sites model. We study the complications that come from nonconstant population size, recombination, population subdivision, and three forms of natural selection: directional selection, balancing selection, and background selection. These theoretical results set the stage for the investigation of various statistical tests to detect departures from "neutral evolution." The final chapter studies the evolution of whole genomes by chromosomal inversions, reciprocal translocations, and genome duplication.Throughout the book, the theory is developed in close connection with data from more than 60 experimental studies from the biology literature that illustrate the use of these results. This book is written for mathematicians and for biologists alike.We assume no previous knowledge of concepts from biology and only a basic knowledge of probability: a one semester undergraduate course and some familiarity with Markov chains and Poisson processes. Rick Durrett received his Ph.D. in operations research from Stanford University in 1976. He taught in the UCLA mathematics department before coming to Cornell in 1985. He is the author of six books and 125 research papers, and is the academic father of more than 30 Ph.D. students. His current interests are the use of probability models in genetics and ecology, and decreasing the mean and variance of his golf.
Illustrations: 62 illus.
Publication: US
Imprint: Springer-Verlag New York Inc.
Returns: Non-returnable
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ESSENTIALS OF STOCHASTIC PROCESSES (HB)
ESSENTIALS OF STOCHASTIC PROCESSES (PB)
ESSENTIALS OF STOCHASTIC PROCESSES (PB)
ESSENTIALS OF STOCHASTIC PROCESSES (PB)
LECTURES ON PROBABILITY THEORY (PB)
MATHEMATICAL PROBLEMS ARISING FROM BIOLOGY (HB)
MATHEMATICS INSPIRED BY BIOLOGY (PB)
MUTUAL INVADABILITY IMPLIES COEXISTENCE IN SPATIAL MODELS (PB)
PARTICLE SYSTEMS, RANDOM MEDIA AND LARGE DEVIATIONS (PB)
PERPLEXING PROBLEMS IN PROBABILITY (HB)
PROBABILITY (CD)
PROBABILITY (HB)
PROBABILITY (HB)
PROBABILITY MODELS FOR DNA SEQUENCE EVOLUTION (HB)
PROBABILITY MODELS FOR DNA SEQUENCE EVOLUTION (PB)
RANDOM GRAPH DYNAMICS (HB)
RANDOM WALKS, BROWNIAN MOTION AND INTERACTING PARTICLE SYSTEMS (HB)
RANDOM WALKS, BROWNIAN MOTION, AND INTERACTING PARTICLE SYSTEMS (HB)
RANDOM WALKS, BROWNIAN MOTION, AND INTERACTING PARTICLE SYSTEMS (PB)
STOCHASTIC CALCULUS (HB)
STOCHASTIC CALCULUS (HB)

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