Probability Models for DNA Sequence Evolution / by Richard Durrett
(Probability and its Applications)
データ種別 | 電子ブック |
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出版者 | New York, NY : Springer New York : Imprint: Springer |
出版年 | 2008 |
本文言語 | 英語 |
大きさ | XII, 431 p : online resource |
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内容注記 | Basic Models Estimation and Hypothesis Testing Recombination Population Complications Stepping Stone Model Natural Selection Diffusion Processes Multidimensional Diffusions Genome Rearrangement |
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一般注記 | How is genetic variability shaped by natural selection, demographic factors, and random genetic drift? To approach this question, we introduce and analyze a number of probability models beginning with the basics, and ending at the frontiers of current research. Throughout the book, the theory is developed in close connection with examples from the biology literature that illustrate the use of these results. Along the way, there are many numerical examples and graphs to illustrate the conclusions. This is the second edition and is twice the size of the first one. The material on recombination and the stepping stone model have been greatly expanded, there are many results form the last five years, and two new chapters on diffusion processes develop that viewpoint. This book is written for mathematicians and for biologists alike. No previous knowledge of concepts from biology is assumed, and only a basic knowledge of probability, including some familiarity with Markov chains and Poisson processes. The book has been restructured into a large number of subsections and written in a theorem-proof style, to more clearly highlight the main results and allow readers to find the results they need and to skip the proofs if they desire. 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 eight books and 160 research papers, most of which concern the use of probability models in genetics and ecology. He is the academic father of 39 Ph.D. students and was recently elected to the National Academy of Sciences |
著者標目 | *Durrett, Richard author SpringerLink (Online service) |
件 名 | LCSH:Mathematics LCSH:Biochemistry LCSH:Evolutionary biology LCSH:Probabilities LCSH:Biomathematics LCSH:Statistics FREE:Mathematics FREE:Probability Theory and Stochastic Processes FREE:Evolutionary Biology FREE:Biochemistry, general FREE:Statistics for Life Sciences, Medicine, Health Sciences FREE:Mathematical and Computational Biology FREE:Genetics and Population Dynamics |
分 類 | DC23:519.2 |
巻冊次 | ISBN:9780387781693 |
ISBN | 9780387781693 |
URL | http://dx.doi.org/10.1007/978-0-387-78168-6 |
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