Some mathematical models from population genetics: École d'Été de Probabilités de Saint-Flour XXXIX-2009
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2011
|
| Schriftenreihe: | Lecture notes in mathematics
2012 |
| Schlagwörter: | |
| Links: | http://deposit.dnb.de/cgi-bin/dokserv?id=3540775&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021112558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Beschreibung: | Literaturverz. S. 109 - 111 |
| Umfang: | VIII, 119 S. graph. Darst. |
| ISBN: | 3642166318 9783642166310 |
Internformat
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| 100 | 1 | |a Etheridge, Alison |d 1964- |e Verfasser |0 (DE-588)114917531 |4 aut | |
| 245 | 1 | 0 | |a Some mathematical models from population genetics |b École d'Été de Probabilités de Saint-Flour XXXIX-2009 |c Alison Etheridge |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 2011 | |
| 300 | |a VIII, 119 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 2012 | |
| 500 | |a Literaturverz. S. 109 - 111 | ||
| 650 | 0 | 7 | |a Stochastisches Modell |0 (DE-588)4057633-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Populationsgenetik |0 (DE-588)4046804-5 |2 gnd |9 rswk-swf |
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| 830 | 0 | |a Lecture notes in mathematics |v 2012 |w (DE-604)BV000676446 |9 2012 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-021112558 | |
Datensatz im Suchindex
| DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-2012 |
|---|---|
| DE-BY-TUM_katkey | 1756199 |
| DE-BY-TUM_location | 01 |
| DE-BY-TUM_media_number | 040010204232 |
| _version_ | 1821934902502752256 |
| adam_text | IMAGE 1
CONTENTS
1 INTRODUCTION 1
2 MUTATION AND RANDOM GENETIC DRIFT 5
2.1 THE WRIGHT-FISHER MODEL AND THE KINGMAN COALESCENT 5 2.2 THE
CANNINGS MODEL 11
2.3 SELFING 13
2.4 ADDING MUTATIONS 14
2.5 INFERRING GENEALOGIES FROM DATA 17
2.6 SOME PROPERTIES OF KINGMAN S COALESCENT 18
2.7 GENEALOGIES AND PEDIGREES 21
2.8 THE MORAN MODEL 23
2.9 THE SITE FREQUENCY SPECTRUM 25
2.10 THE LOOKDOWN PROCESS 27
2.11 A MORE SIMPLISTIC LIMIT 30
3 ONE DIMENSIONAL DIFFUSIONS 33
3.1 DIFFUSIONS 33
3.2 CONVERGENCE TO DIFFUSIONS 36
3.3 SPEED AND SCALE 38
3.4 HITTING PROBABILITIES AND FELLER S BOUNDARY CLASSIFICATION 40 3.5
GREEN S FUNCTIONS 42
3.6 STATIONARY DISTRIBUTIONS AND REVERSIBILITY 46
4 MORE THAN TWO TYPES 53
4. 1 MULTI-DIMENSIONAL DIFFUSION MODELS 53
4.2 THE POISSON-DIRICHLET AND GEM DISTRIBUTIONS 57
4.3 EWENS SAMPLING FORMULA 61
5 SELECTION 65
5. 1 GENETIC DIVERSITY 65
5.2 WRIGHT-FISHER MODEL WITH SELECTION 65
BIBLIOGRAFISCHE INFORMATIONEN HTTP://D-NB.INFO/1007151129
DIGITALISIERT DURCH
IMAGE 2
VIII CONTENTS
5.3 SELECTION IN A DIPLOID POPULATION 69
5.4 THE ANCESTRAL SELECTION GRAPH 70
5.5 ADDING STRUCTURE TO THE COALESCENT 74
5.6 SELECTIVE SWEEPS 77
5.7 COALESCENTS WITH MULTIPLE MERGERS 82
6 SPATIAL STRUCTURE 89
6. 1 SUBDIVIDED POPULATIONS AND THE STRUCTURED COALESCENT 89 6.2 DUALITY
91
6.3 COLLAPSE OF STRUCTURE 95
6.4 EVOLUTION IN A SPATIAL CONTINUUM AND THE PAIN IN THE TORUS 99 6.5
THE SPATIAL A-REMING-VIOT PROCESS 102
6.6 MORE GENERAL MODELS 106
REFERENCES 109
LIST OF PARTICIPANTS 113
INDEX 117
|
| any_adam_object | 1 |
| author | Etheridge, Alison 1964- |
| author_GND | (DE-588)114917531 |
| author_facet | Etheridge, Alison 1964- |
| author_role | aut |
| author_sort | Etheridge, Alison 1964- |
| author_variant | a e ae |
| building | Verbundindex |
| bvnumber | BV037198255 |
| classification_rvk | SI 850 |
| classification_tum | BIO 134f BIO 180f MAT 609f |
| ctrlnum | (OCoLC)890739104 (DE-599)DNB1007151129 |
| dewey-full | 519.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 519 - Probabilities and applied mathematics |
| dewey-raw | 519.23 |
| dewey-search | 519.23 |
| dewey-sort | 3519.23 |
| dewey-tens | 510 - Mathematics |
| discipline | Biologie Mathematik |
| format | Book |
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| id | DE-604.BV037198255 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T14:46:26Z |
| institution | BVB |
| isbn | 3642166318 9783642166310 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021112558 |
| oclc_num | 890739104 |
| open_access_boolean | |
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| owner_facet | DE-91G DE-BY-TUM DE-824 DE-83 DE-11 DE-188 DE-29T DE-19 DE-BY-UBM |
| physical | VIII, 119 S. graph. Darst. |
| publishDate | 2011 |
| publishDateSearch | 2011 |
| publishDateSort | 2011 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spellingShingle | Etheridge, Alison 1964- Some mathematical models from population genetics École d'Été de Probabilités de Saint-Flour XXXIX-2009 Lecture notes in mathematics Stochastisches Modell (DE-588)4057633-4 gnd Populationsgenetik (DE-588)4046804-5 gnd |
| subject_GND | (DE-588)4057633-4 (DE-588)4046804-5 |
| title | Some mathematical models from population genetics École d'Été de Probabilités de Saint-Flour XXXIX-2009 |
| title_auth | Some mathematical models from population genetics École d'Été de Probabilités de Saint-Flour XXXIX-2009 |
| title_exact_search | Some mathematical models from population genetics École d'Été de Probabilités de Saint-Flour XXXIX-2009 |
| title_full | Some mathematical models from population genetics École d'Été de Probabilités de Saint-Flour XXXIX-2009 Alison Etheridge |
| title_fullStr | Some mathematical models from population genetics École d'Été de Probabilités de Saint-Flour XXXIX-2009 Alison Etheridge |
| title_full_unstemmed | Some mathematical models from population genetics École d'Été de Probabilités de Saint-Flour XXXIX-2009 Alison Etheridge |
| title_short | Some mathematical models from population genetics |
| title_sort | some mathematical models from population genetics ecole d ete de probabilites de saint flour xxxix 2009 |
| title_sub | École d'Été de Probabilités de Saint-Flour XXXIX-2009 |
| topic | Stochastisches Modell (DE-588)4057633-4 gnd Populationsgenetik (DE-588)4046804-5 gnd |
| topic_facet | Stochastisches Modell Populationsgenetik |
| url | http://deposit.dnb.de/cgi-bin/dokserv?id=3540775&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021112558&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT etheridgealison somemathematicalmodelsfrompopulationgeneticsecoledetedeprobabilitesdesaintflourxxxix2009 |
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Teilbibliothek Mathematik & Informatik
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0102 MAT 001z 2001 B 999-2012 Lageplan |
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