Neutral networks of RNA secondary structures:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
1995
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Jena, Univ., Diss., 1995 |
| Beschreibung: | 101 S. graph. Darst. |
Internformat
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Datensatz im Suchindex
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TABLE OF CONTENTS
TABLE OF CONTENTS
1. INTRODUCTION
1
1
.
1
. THEORETICAL BIOLOGY
1
.
2
. SEQUENCE TO STRUCTURE MAPS
2
1.3. BASIC QUESTIONS OF EVOLUTIONARY OPTIMIZATION
5
1.4. ORGANIZATION OF THIS THESIS
7
2. CONFIGURATION SPACES AND RANDOM MAPS G
2
.
1
. CONFIGURATION SPACES G
2.2. RANDOM MAPS ^
3. RANDOM INDUCED SUBGRAPHS
^
3.1. BASIC RANDOM GRAPH MODELS
24
3.1.1. BASICS OF GRAPH AND PROBABILITY THEORY 24
3.1.2. MODELS
1
/
3.2. ORDERS AND VERTEX DEGREES
29
3.3. DENSITY
23
3.4. CONNECTIVITY AND THE SEQUENCE OF COMPONENTS 26
3.4.1. DEFINITIONS AND TWO AUXILIARY LEMMATA 26
3.4.2. CONNECTEDNESS IN GENERALIZED HYPERCUBES 29
3.4.3. CONNECTIVITY AND GIANT COMPONENTS IN CONFIGURATION SPACES 36
4. NEUTRAL NETWORKS OF RNA SECONDARY STRUCTURES
42
4.1. RNA SECONDARY STRUCTURES AND COMPATIBLE SEQUENCES 42
4.2. NEUTRAL NETWORKS AS RANDOM INDUCED SUBGRAPHS
45
4.3. SHAPE SPACE COVERING
5
Q
4-4. OUTLOOK: C*-RANDOM MAPS ON GENERALIZED HYPERCUBES
51
5. ERROR THRESHOLDS OF RNA SECONDARY STRUCTURES
53
5.1. THE MATHEMATICAL MODEL
53
5.1.1. REPLICATION DELETION PROCESSES
54
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/946917027
TABLE OF
CONTENTS
5.1.2. SOME CONDITIONAL PROBABILITIES
55
5.2. BIRTH-DEATH MODELS 58
5.2.1. STATIONARY DISTRIBUTION 60
5.3. NUMERICAL LOCALIZATION OF THE ERROR THRESHOLD 62
6
. DISTRIBUTION ON THE NEUTRAL NETWORK 67
6
.
1
. STEP I: REPRODUCTION SCHEMES AND GENEALOGIES 67
6.1.1. REPRODUCTION SCHEMES 67
6.1.2. GENEALOGIES
68
6.2. STEP II: RANDOM WALKS ON NEUTRAL NETWORKS 69
6.3. SYNTHESIS: DISTRIBUTION OF PAIR DISTANCES
71
6.4. APPLICATION: BINARY ALPHABETS WITH COMPLEMENTARY BASE PAIRS
74
7. ALGEBRAIC REPRESENTATION OF RNA SECONDARY STRUCTURES 78
7.1. REPRESENTATION OF RNA SECONDARY STRUCTURES AS INVOLUTIONS 78
7.2. SUBGROUP REPRESENTATION OF RNA SECONDARY STRUCTURES
79
8
. DISCUSSION 81
8.1. NEUTRAL NEIGHBORS OF RNA SECONDARY STRUCTURES 81
8
.
2
. SHAPE SPACE COVERING 83
8.3. PERCOLATING NEUTRAL NETWORKS 83
8.4. THE SEQUENCE OF COMPONENTS
86
8.5. THE QUASISPECIES OF RNA SECONDARY STRUCTURES AND ERROR THRESHOLDS
88
8
.
6
. DIFFUSION ON NEUTRAL NETWORKS 90
8.7. METRICS ON RNA SECONDARY STRUCTURES 92
9. CONCLUSIONS AND OUTLOOK
93
APPENDIX A: INTEGER VALUED RANDOM VARIABLES
95
APPENDIX B: SIMULATION OF FINITE POPULATIONS ON NEUTRAL NETWORKS 96
NOTATION
99
BIBLIOGRAPHY 102
TABELLARISCHER LEBENSLAUF
107 |
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| illustrated | Illustrated |
| indexdate | 2024-10-09T16:14:19Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007140497 |
| oclc_num | 64532156 |
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| physical | 101 S. graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
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| spelling | Reidys, Christian Michael Verfasser aut Neutral networks of RNA secondary structures von Christian Michael Reidys 1995 101 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Jena, Univ., Diss., 1995 Sekundärstruktur (DE-588)4276601-1 gnd rswk-swf RNS (DE-588)4076759-0 gnd rswk-swf Zufallsgraph (DE-588)4277661-2 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content RNS (DE-588)4076759-0 s Sekundärstruktur (DE-588)4276601-1 s Zufallsgraph (DE-588)4277661-2 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007140497&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Reidys, Christian Michael Neutral networks of RNA secondary structures Sekundärstruktur (DE-588)4276601-1 gnd RNS (DE-588)4076759-0 gnd Zufallsgraph (DE-588)4277661-2 gnd |
| subject_GND | (DE-588)4276601-1 (DE-588)4076759-0 (DE-588)4277661-2 (DE-588)4113937-9 |
| title | Neutral networks of RNA secondary structures |
| title_auth | Neutral networks of RNA secondary structures |
| title_exact_search | Neutral networks of RNA secondary structures |
| title_full | Neutral networks of RNA secondary structures von Christian Michael Reidys |
| title_fullStr | Neutral networks of RNA secondary structures von Christian Michael Reidys |
| title_full_unstemmed | Neutral networks of RNA secondary structures von Christian Michael Reidys |
| title_short | Neutral networks of RNA secondary structures |
| title_sort | neutral networks of rna secondary structures |
| topic | Sekundärstruktur (DE-588)4276601-1 gnd RNS (DE-588)4076759-0 gnd Zufallsgraph (DE-588)4277661-2 gnd |
| topic_facet | Sekundärstruktur RNS Zufallsgraph Hochschulschrift |
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