Probability Models for DNA Sequence Evolution:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2002
|
| Schriftenreihe: | Probability and its Applications
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 Science |
| Beschreibung: | 1 Online-Ressource (VIII, 241 p) |
| ISBN: | 9781475762853 9781475762877 |
| ISSN: | 1431-7028 |
| DOI: | 10.1007/978-1-4757-6285-3 |
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Datensatz im Suchindex
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| adam_text | |
| any_adam_object | |
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| dewey-sort | 3519.2 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4757-6285-3 |
| format | Electronic eBook |
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| id | DE-604.BV042421688 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-06T17:00:48Z |
| institution | BVB |
| isbn | 9781475762853 9781475762877 |
| issn | 1431-7028 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857105 |
| oclc_num | 863972767 |
| open_access_boolean | |
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| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Springer New York |
| record_format | marc |
| series2 | Probability and its Applications |
| spelling | Durrett, Rick Verfasser aut Probability Models for DNA Sequence Evolution by Rick Durrett New York, NY Springer New York 2002 1 Online-Ressource (VIII, 241 p) txt rdacontent c rdamedia cr rdacarrier Probability and its Applications 1431-7028 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 Science Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics for Life Sciences, Medicine, Health Sciences Mathematical and Computational Biology Mathematik Statistik Stochastisches Modell (DE-588)4057633-4 gnd rswk-swf DNS-Sequenz (DE-588)4150352-1 gnd rswk-swf Wahrscheinlichkeit (DE-588)4137007-7 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd rswk-swf Populationsbiologie (DE-588)4046800-8 gnd rswk-swf Ökologie (DE-588)4043207-5 gnd rswk-swf Genetische Variabilität (DE-588)4264352-1 gnd rswk-swf Evolution (DE-588)4071050-6 gnd rswk-swf DNS-Sequenz (DE-588)4150352-1 s Evolution (DE-588)4071050-6 s Stochastisches Modell (DE-588)4057633-4 s 1\p DE-604 Genetische Variabilität (DE-588)4264352-1 s Wahrscheinlichkeit (DE-588)4137007-7 s 2\p DE-604 Ökologie (DE-588)4043207-5 s Populationsbiologie (DE-588)4046800-8 s 3\p DE-604 Wahrscheinlichkeitstheorie (DE-588)4079013-7 s 4\p DE-604 Mathematisches Modell (DE-588)4114528-8 s 5\p DE-604 https://doi.org/10.1007/978-1-4757-6285-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Durrett, Rick Probability Models for DNA Sequence Evolution Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics for Life Sciences, Medicine, Health Sciences Mathematical and Computational Biology Mathematik Statistik Stochastisches Modell (DE-588)4057633-4 gnd DNS-Sequenz (DE-588)4150352-1 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Populationsbiologie (DE-588)4046800-8 gnd Ökologie (DE-588)4043207-5 gnd Genetische Variabilität (DE-588)4264352-1 gnd Evolution (DE-588)4071050-6 gnd |
| subject_GND | (DE-588)4057633-4 (DE-588)4150352-1 (DE-588)4137007-7 (DE-588)4114528-8 (DE-588)4079013-7 (DE-588)4046800-8 (DE-588)4043207-5 (DE-588)4264352-1 (DE-588)4071050-6 |
| title | Probability Models for DNA Sequence Evolution |
| title_auth | Probability Models for DNA Sequence Evolution |
| title_exact_search | Probability Models for DNA Sequence Evolution |
| title_full | Probability Models for DNA Sequence Evolution by Rick Durrett |
| title_fullStr | Probability Models for DNA Sequence Evolution by Rick Durrett |
| title_full_unstemmed | Probability Models for DNA Sequence Evolution by Rick Durrett |
| title_short | Probability Models for DNA Sequence Evolution |
| title_sort | probability models for dna sequence evolution |
| topic | Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics for Life Sciences, Medicine, Health Sciences Mathematical and Computational Biology Mathematik Statistik Stochastisches Modell (DE-588)4057633-4 gnd DNS-Sequenz (DE-588)4150352-1 gnd Wahrscheinlichkeit (DE-588)4137007-7 gnd Mathematisches Modell (DE-588)4114528-8 gnd Wahrscheinlichkeitstheorie (DE-588)4079013-7 gnd Populationsbiologie (DE-588)4046800-8 gnd Ökologie (DE-588)4043207-5 gnd Genetische Variabilität (DE-588)4264352-1 gnd Evolution (DE-588)4071050-6 gnd |
| topic_facet | Mathematics Distribution (Probability theory) Statistics Probability Theory and Stochastic Processes Statistics for Life Sciences, Medicine, Health Sciences Mathematical and Computational Biology Mathematik Statistik Stochastisches Modell DNS-Sequenz Wahrscheinlichkeit Mathematisches Modell Wahrscheinlichkeitstheorie Populationsbiologie Ökologie Genetische Variabilität Evolution |
| url | https://doi.org/10.1007/978-1-4757-6285-3 |
| work_keys_str_mv | AT durrettrick probabilitymodelsfordnasequenceevolution |