Foundations of mathematical genetics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Pr.
2000
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 121 S. graph. Darst. |
| ISBN: | 0521775442 |
Staff View
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| 245 | 1 | 0 | |a Foundations of mathematical genetics |c A. W. F. Edwards |
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Record in the Search Index
| _version_ | 1804128259207593984 |
|---|---|
| adam_text | CONTENTS
Preface to the second edition page ix
Preface to the first edition xi
1 The genetic model
1.1 Mendel s First Law 1
1.2 A simple organism 3
1.3 Random mating and random union of gametes 4
1.4 The Hardy Weinberg Theorem 6
2 Two alleles at a single locus
2.1 No selection 8
2.2 Selection with constant viabilities 9
2.3 Properties of the mean viability 12
2.4 Wright s formulation 19
3 Two alleles using homogeneous coordinates
3.1 Graphical representation 21
3.2 The general diagram 24
3.3 Special cases 27
3.4 Equilibria, stability and convergence 29
3.5 The mean viability 31
4 Many alleles at a single locus
4.1 No selection 35
4.2 Selection with constant viabilities 35
4.3 Properties of the mean viability 38
4.4 Stability and convergence 42
4.5 Special cases 45
4.6 Kimura s Maximum Principle 46
4.7 Baum and Eagon s Theorem 47
4.8 Historical notes 48
5 The special case of three alleles
5.1 Graphical representation 50
5.2 The shape of the mean viability surface 50
vii
CONTENTS
5.3 Conditions for stable equilibrium 57
5.4 Examples of possible systems 60
5.5 Cartesian equation of the conic 71
5.6 The lines of equal average effect 74
6 An X linked locus
6.1 No selection 76
6.2 Selection with two alleles 78
6.3 Selection with many alleles 84
6.4 Historical notes 86
7 Miscellaneous single locus models
7.1 Viabilities different in the two sexes 87
7.2 Viabilities different in several niches 89
8 Two diallelic loci
8.1 No selection 94
8.2 Selection 98
9 Fisher s Fundamental Theorem
9.1 The Fundamental Theorem of Natural Selection 107
9.2 Historical notes HO
References H2
Index 119
viii
|
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| author | Edwards, Anthony W. F. 1935- |
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| dewey-full | 575.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 575 - Specific parts of & systems in plants |
| dewey-raw | 575.1 |
| dewey-search | 575.1 |
| dewey-sort | 3575.1 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
| edition | 2. ed. |
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| id | DE-604.BV013467390 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:46:24Z |
| institution | BVB |
| isbn | 0521775442 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009192308 |
| oclc_num | 264574607 |
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| owner_facet | DE-M49 DE-BY-TUM DE-11 |
| physical | XII, 121 S. graph. Darst. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Cambridge Univ. Pr. |
| record_format | marc |
| spelling | Edwards, Anthony W. F. 1935- Verfasser (DE-588)122967968 aut Foundations of mathematical genetics A. W. F. Edwards 2. ed. Cambridge [u.a.] Cambridge Univ. Pr. 2000 XII, 121 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Mathematisches Modell Population genetics Mathematical models Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Genetik (DE-588)4071711-2 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Genetik (DE-588)4071711-2 s Mathematische Methode (DE-588)4155620-3 s DE-604 Biologie (DE-588)4006851-1 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009192308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Edwards, Anthony W. F. 1935- Foundations of mathematical genetics Mathematisches Modell Population genetics Mathematical models Mathematische Methode (DE-588)4155620-3 gnd Genetik (DE-588)4071711-2 gnd Biologie (DE-588)4006851-1 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4071711-2 (DE-588)4006851-1 |
| title | Foundations of mathematical genetics |
| title_auth | Foundations of mathematical genetics |
| title_exact_search | Foundations of mathematical genetics |
| title_full | Foundations of mathematical genetics A. W. F. Edwards |
| title_fullStr | Foundations of mathematical genetics A. W. F. Edwards |
| title_full_unstemmed | Foundations of mathematical genetics A. W. F. Edwards |
| title_short | Foundations of mathematical genetics |
| title_sort | foundations of mathematical genetics |
| topic | Mathematisches Modell Population genetics Mathematical models Mathematische Methode (DE-588)4155620-3 gnd Genetik (DE-588)4071711-2 gnd Biologie (DE-588)4006851-1 gnd |
| topic_facet | Mathematisches Modell Population genetics Mathematical models Mathematische Methode Genetik Biologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009192308&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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