The geometry of biological time:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2001
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Interdisciplinary applied mathematics
12 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. 661 - 758 |
| Beschreibung: | XXVI, 777 S. Ill., graph. Darst. |
| ISBN: | 0387989927 |
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Datensatz im Suchindex
| _version_ | 1804128701752803328 |
|---|---|
| adam_text | Arthur T Winfree
Second Edition
With 336 Illustrations
Springer
Contents
Preface to the 2000 Edition vii
Preface to the 1980 Edition xiii
Introduction xxiii
1 Circular Logic 1
A: Spaces 1
B: Mappings 4
C: Phase Singularities of Maps 24
D: Technical Details on Application to Biological Rhythms 30
2 Phase Singularities (Screwy Results of Circular Logic) 41
A: Examples 42
B: Counterexamples 75
C: The Word Singularity 77
3 The Rules of the Ring 80
A: Basic Principles, Paradigms, Language Conventions, and Epistemology 80
B: Dynamics on the Ring 83
C: Derivation of Phase-Resetting Curves 88
D: Historical Appendix 97
4 Ring Populations 101
A: Collective Rhythmicity in a Population of Independent
Simple Clocks 101
B: Communities of Clocks 119
C: Spatially Distributed Independent Simple Clocks 134
D: Ring Devices Interacting Locally 138
xvii
xviii Contents
5 Getting off the Ring 146
A: Enumerating Dimensions 146
B: Deducing the Topology 147
C: The Simplest Models 149
D: Mathematical Redescription 151
E: Graphical Interpretation 155
F: Summary 159
6 Attracting Cycles and Isochrons 161
A: Unperturbed Dynamics 161
B: Perturbing an Attracting-Cycle Oscillator 177
C: Unsmooth Kinetics 188
7 Measuring the Trajectories of a Circadian Clock 198
A: Introduction 198
B: The Time Machine Experiment 200
C: Unperturbed Dynamics 206
D: The Impact of Light 213
E: Deriving the Pinwheel Experiment 216
F: So What? 220
G: In Conclusion 228
8 Populations of Attracting-Cycle Oscillators 229
A: Collective Rhythmicity in a Population of Independent Oscillators:
How Many Oscillators? 230
B: Collective Rhythmicity in a Community of
Attracting-Cycle Oscillators 231
C: Spatially Distributed Independent Oscillators 236
D: Attracting-Cycle Oscillators Interacting Locally in
Two-Dimensional Space 250
9 Excitable Kinetics and Excitable Media 258
A: Excitability 258
B: Rotors 264
C: Three-Dimensional Rotors 291
10 The Varieties of Phaseless Experience: In which the
Geometrical Orderliness of Rhythmic Organization
Breaks Down in Diverse Ways 303
A: The Physical Nature of Diverse States of Ambiguous Phase 304
B: The Singularities of Unsmooth Cycles 333
C: Transition to Bestiary 336
Contents xix
11 The Firefly Machine 338
A: Mechanics 338
B: Results 341
C: Historical 344
12 Energy Metabolism in Cells 347
A: Oscillators 347
B: The Dynamics of Anaerobic Sugar Metabolism 348
C: The Pasteur Effect 350
D: Goldbeter s PFK Kinetics 351
E: Phase Control by ADP 353
F: More Phase-Resetting Experiments 354
G: Results: The Time Crystal 355
H: A Repeat Using Divalent Cations 359
I: A Repeat Using Acetaldehyde 360
J: Phase Compromise Experiments 366
13 The Malonic Acid Reagent (Sodium Geometrate) 368
A: Mechanism of the Reaction 371
B: Wave Phenomena 377
C: Excitation in Nonoscillating Medium 382
D: Wave Patterns in Two- and Three-Dimensional Context 383
E: Pacemakers 406
14 Electrical Rhythmicity and Excitability in Cell Membranes 411
A: Rephasing Schedules of Pacemaker Neurons 413
B: Mutual Synchronization 422
C: Waves in One Dimension 428
D: Rotating Waves in Two Dimensions 432
15 The Aggregation of Slime Mold Amoebae 443
A: The Life Cycle of a Social Amoeba 443
B: Questions of Continuity 446
C: Cell Chemistry and Cell-Cell Coupling 449
D: Phase Resetting by a cAMP Pulse 451
E: Historical Note 453
16 Numerical Organizing Centers 455
A: Scroll Filaments in Two Dimensions 456
B: Scroll Rings Shrink and Drift 467
C: Linked and Knotted Ring Anatomy 469
xx Contents
D: Linked and Knotted Ring Dynamics 472
E: Efforts to Analytically Derive and Numerically Confirm the
Laws of Filament Dynamics 474
F: The Discovery of Persistent Ring Configurations 483
G: For the Future 490
H: Transition to Chapter 17 About Heart Muscle 492
17 Electrical Singular Filaments in the Heart Wall 495
A: Rotors in a Field of Coupled Oscillators 498
B: The Pinwheel Experiment 505
C: Pinwheel Experiment Revisited (PER) 518
D: Two- vs Three-dimensional Instabilities of the Singular Filament
in Heart Muscle 525
E: A Quick Summary of the April 1997 Experiments 532
F: What s Next? 533
18 Pattern Formation in the Fungi 537
A: Breadmold with a Circadian Clock 538
B: Breadmolds in Two-Dimensional Growth 539
C: Pattern Polymorphism in Bourret s Nectria 540
D: Integration of Pattern 543
19 Circadian Rhythms in General 545
A: Some Characteristics of Circadian Rhythms 561
B: Clock Evolution 576
C: The Multioscillator View of Circadian Rhythms 585
20 The Circadian Clocks of Insect Eclosion 592
A: Basics of Insect Eclosion Clocks 592
B: Phase and Amplitude Resetting in Drosophila Pseudoobscura 606
C: Other Diptera 620
21 The Flower of Kalanchoe 624
A: Type 0 Resetting 624
B: Resetting Data at Many Stimulus Magnitudes 627
C: A Phase Singularity 630
D: Arrhythmicity Not an Artifact of Populations 630
E: Amplitude Resetting 631
22 The Cell Mitotic Cycle 632
A: Three Basic Concepts and Some Models 634
B: Regulation of Mitosis by the Circadian Clock 640
Contents xxi
C: Further Developments in the Area of Circadian Rhythms, Applied Back to
the Cell Cycle 642
D: Physarum Polycephalum 644
23 The Female Cycle 650
A: Women, Hormones, and Eggs 650
B: Statistics (Am I Overdue?!) 653
C: Rephasing Schedules 655
D: The Question of Smoothness 657
E: Circadian Control of Ovulation 658
Index of Author Citations and Publications 661
Index of Subjects 761
|
| any_adam_object | 1 |
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| dewey-full | 574.1882 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 574 - [Unassigned] |
| dewey-raw | 574.1882 |
| dewey-search | 574.1882 |
| dewey-sort | 3574.1882 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV013866939 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:53:26Z |
| institution | BVB |
| isbn | 0387989927 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009484957 |
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| physical | XXVI, 777 S. Ill., graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Springer |
| record_format | marc |
| series | Interdisciplinary applied mathematics |
| series2 | Interdisciplinary applied mathematics |
| spelling | Winfree, Arthur Taylor 1942-2002 Verfasser (DE-588)1079243690 aut The geometry of biological time Arthur T. Winfree 2. ed. New York [u.a.] Springer 2001 XXVI, 777 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Interdisciplinary applied mathematics 12 Literaturverz. S. 661 - 758 Ciclos biológicos - Matemáticas Biomathematik (DE-588)4139408-2 gnd rswk-swf Kinetik (DE-588)4030665-3 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Synergetik (DE-588)4058755-1 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Dynamik (DE-588)4013384-9 gnd rswk-swf Biorhythmus (DE-588)4006896-1 gnd rswk-swf Biorhythmus (DE-588)4006896-1 s Mathematisches Modell (DE-588)4114528-8 s DE-604 Kinetik (DE-588)4030665-3 s Biologie (DE-588)4006851-1 s 1\p DE-604 Dynamik (DE-588)4013384-9 s 2\p DE-604 Biomathematik (DE-588)4139408-2 s 3\p DE-604 Synergetik (DE-588)4058755-1 s 4\p DE-604 Mathematik (DE-588)4037944-9 s 5\p DE-604 Interdisciplinary applied mathematics 12 (DE-604)BV004216726 12 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009484957&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 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 | Winfree, Arthur Taylor 1942-2002 The geometry of biological time Interdisciplinary applied mathematics Ciclos biológicos - Matemáticas Biomathematik (DE-588)4139408-2 gnd Kinetik (DE-588)4030665-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd Mathematik (DE-588)4037944-9 gnd Synergetik (DE-588)4058755-1 gnd Biologie (DE-588)4006851-1 gnd Dynamik (DE-588)4013384-9 gnd Biorhythmus (DE-588)4006896-1 gnd |
| subject_GND | (DE-588)4139408-2 (DE-588)4030665-3 (DE-588)4114528-8 (DE-588)4037944-9 (DE-588)4058755-1 (DE-588)4006851-1 (DE-588)4013384-9 (DE-588)4006896-1 |
| title | The geometry of biological time |
| title_auth | The geometry of biological time |
| title_exact_search | The geometry of biological time |
| title_full | The geometry of biological time Arthur T. Winfree |
| title_fullStr | The geometry of biological time Arthur T. Winfree |
| title_full_unstemmed | The geometry of biological time Arthur T. Winfree |
| title_short | The geometry of biological time |
| title_sort | the geometry of biological time |
| topic | Ciclos biológicos - Matemáticas Biomathematik (DE-588)4139408-2 gnd Kinetik (DE-588)4030665-3 gnd Mathematisches Modell (DE-588)4114528-8 gnd Mathematik (DE-588)4037944-9 gnd Synergetik (DE-588)4058755-1 gnd Biologie (DE-588)4006851-1 gnd Dynamik (DE-588)4013384-9 gnd Biorhythmus (DE-588)4006896-1 gnd |
| topic_facet | Ciclos biológicos - Matemáticas Biomathematik Kinetik Mathematisches Modell Mathematik Synergetik Biologie Dynamik Biorhythmus |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009484957&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004216726 |
| work_keys_str_mv | AT winfreearthurtaylor thegeometryofbiologicaltime |