Random evolution of idiotypic networks: dynamics and architecture
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
2003
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Leipzig, Univ., Diss., 2003 |
| Beschreibung: | 148, 9 S. graph. Darst. |
Internformat
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| 245 | 1 | 0 | |a Random evolution of idiotypic networks |b dynamics and architecture |c vorgelegt von Markus Brede |
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Datensatz im Suchindex
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| adam_text |
CONTENTS
0. INTRODUCTION 3
0.1. RANDOMLY EVOLVING NETWORKS . 4
0.2. SOME ASPECTS OF THE BIOLOGY OF THE IMMUNE SYSTEM. 5
0.3. IDIOTYPIC NETWORKS. 9
0.3.1. MEMORY. 11
0.3.2. EFFECTS OF AGING. 12
0.4. PREVIOUS MODELING EFFORTS . 13
0.5. PLAN OF THE WORK. 15
I. THE STATIC ARCHITECTURE OF IDIOTYPIC NETWORKS 17
1. BASE GRAPHS 19
2. THE PERCOLATION PROBLEM 24
2.1. PERCOLATION THRESHOLD AND BETHE APPROXIMATION. 27
2.2. DENSITY AND CONNECTIVITY THRESHOLDS. 31
3. THE STRUCTURE OF THE GIANT COMPONENT ABOVE
PC 34
3.1. GENERALIZED TREEREDUCED SUBCOMPONENTS. 34
3.2. F-TREEREDUCED SUBSETS IN RANDOM NETWORKS. 41
3.3. DENSITY OF I-TREEREDUCED SUBSETS. 43
3.4. EDGE FRAGMENTATION AND MASS DISTRIBUTION. 43
4. THE ARCHITECTURE OF THE MODEL IN THE BIOLOGICAL CONTEXT 46
II. MODELING RANDOMLY EVOLVING ARCHITECTURES 48
5. MODELING INTERACTING IDIOTYPES: THE WINDOW ALGORITHM 50
6. A SIMPLE TOY SYSTEM: THE WINDOW ALGORITHM ON A CUBE 53
1
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/968681646
CONTENTS
7. THE RANDOM EVOLUTION ON ONE-MISMATCH BASE GRAPHS 59
7.1. ANALYZING THE DYNAMICS. 59
7.2. THE STATIONARY STATE. 63
7.2.1. GLOBAL PATTERN STABILITY. 66
7.2.2. STABLE BASE CONFIGURATIONS. 68
7.3. DEPENDENCE ON THE INFLUX I. 72
7.3.1. SMALL
I: STATISTICS OF DEFECTS. 72
7.3.2. THE TRANSITION REGION. 78
7.3.3. HIGH I IC: ITERATED MAPS. 85
7.4. SYSTEMATIC ATTACKS: THE INFLUENCE OF PRESELECTED STRUCTURES. 86
7.5. FLUCTUATIONS AND PATTERN CHANGES. 93
7.6. TWO EXTENSIONS OF THE MODEL: WEIGHTED LINKS AND TAKEOUT DELAYS FOR
VERTEX
REMOVALS. 96
7.6.1. WEIGHTED LINKS. 96
7.6.2. TAKEOUT DELAYS FOR VERTEX REMOVALS. 99
7.7. PATTERNS FOR T\ 1 .101
7.8. DISCUSSION OF STABLE BASE CONFIGURATIONS.103
8. THE EVOLUTION ON MORE DENSELY WIRED SYSTEMS 105
8.1. THE DYNAMICS ON TWO MISMATCH GRAPHS.105
8.2. SURVIVAL CONDITIONS FOR 'ISOLATED IDIOTYPES'.113
8.3. BIOLOGICAL INTERPRETATION OF DYNAMIC PATTERNS .116
9. RANDOMLY GROWING NETWORKS 118
9.1. RANDOMLY GROWING EXPONENTIAL NETWORKS.119
9.1.1. THE DEGREE DISTRIBUTION .119
9.1.2. GENERAL EXPONENTIAL NETWORKS.123
9.1.3. DEGREE-CORRELATIONS IN GROWNING EXPONENTIAL NETWORKS.124
/ 9.2. RANDOMLY GROWING NETWORKS SUBJECT TO THE WINDOW ALGORITHM.127
9.3. DISCUSSION OF GROWING EXPONENTIAL NETWORKS.131
10. SUMMARY AND CONCLUSIONS 134
2 |
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| indexdate | 2024-11-22T17:38:15Z |
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| spelling | Brede, Markus Verfasser aut Random evolution of idiotypic networks dynamics and architecture vorgelegt von Markus Brede 2003 148, 9 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Leipzig, Univ., Diss., 2003 Idiotyp (DE-588)4161228-0 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf B-Lymphozyt (DE-588)4137121-5 gnd rswk-swf Immunsystem (DE-588)4026643-6 gnd rswk-swf Zufallsgraph (DE-588)4277661-2 gnd rswk-swf Antikörper (DE-588)4002290-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Immunsystem (DE-588)4026643-6 s Idiotyp (DE-588)4161228-0 s Antikörper (DE-588)4002290-0 s B-Lymphozyt (DE-588)4137121-5 s Mathematisches Modell (DE-588)4114528-8 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=010541615&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brede, Markus Random evolution of idiotypic networks dynamics and architecture Idiotyp (DE-588)4161228-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd B-Lymphozyt (DE-588)4137121-5 gnd Immunsystem (DE-588)4026643-6 gnd Zufallsgraph (DE-588)4277661-2 gnd Antikörper (DE-588)4002290-0 gnd |
| subject_GND | (DE-588)4161228-0 (DE-588)4114528-8 (DE-588)4137121-5 (DE-588)4026643-6 (DE-588)4277661-2 (DE-588)4002290-0 (DE-588)4113937-9 |
| title | Random evolution of idiotypic networks dynamics and architecture |
| title_auth | Random evolution of idiotypic networks dynamics and architecture |
| title_exact_search | Random evolution of idiotypic networks dynamics and architecture |
| title_full | Random evolution of idiotypic networks dynamics and architecture vorgelegt von Markus Brede |
| title_fullStr | Random evolution of idiotypic networks dynamics and architecture vorgelegt von Markus Brede |
| title_full_unstemmed | Random evolution of idiotypic networks dynamics and architecture vorgelegt von Markus Brede |
| title_short | Random evolution of idiotypic networks |
| title_sort | random evolution of idiotypic networks dynamics and architecture |
| title_sub | dynamics and architecture |
| topic | Idiotyp (DE-588)4161228-0 gnd Mathematisches Modell (DE-588)4114528-8 gnd B-Lymphozyt (DE-588)4137121-5 gnd Immunsystem (DE-588)4026643-6 gnd Zufallsgraph (DE-588)4277661-2 gnd Antikörper (DE-588)4002290-0 gnd |
| topic_facet | Idiotyp Mathematisches Modell B-Lymphozyt Immunsystem Zufallsgraph Antikörper Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010541615&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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