The geometry of biological time:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Springer
2006
|
| Ausgabe: | 2. ed., [Nachdr.] |
| 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_ | 1804135601052581888 |
|---|---|
| adam_text | ARTHUR T. WINFREE THE GEOMETRY OF BIOLOGICAL TIME SECOND EDITION WITH
336 ILLUSTRATIONS SPRINGER CONTENTS PREFACE TO THE 2000 EDITION *
PREFACE TO THE 1980 EDITION JJ INTRODUCTION X X M 1. CIRCULAR LOGIC *
I A: SPACES B: MAPPINGS ^ 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 B: COUNTEREXAMPLES 75
C: THE WORD SINGULARITY 77 80 80 3. THE RULES OF THE RING A: BASIC
PRINCIPLES, PARADIGMS, LANGUAGE CONVENTIONS, AND EPISTEMOLOGY 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 1 1 Q B: COMMUNITIES OF
CLOCKS LIY C: SPATIALLY DISTRIBUTED INDEPENDENT SIMPLE CLOCKS 134 D:
RING DEVICES INTERACTING LOCALLY *38 CONTENTS POPULATIONS OF
ATTRACTING-CYCLE OSCILLATORS 146 5. GETTING OFF THE RING A: ENUMERATING
DIMENSIONS B: DEDUCING THE TOPOLOGY /L C: THE SIMPLEST MODELS ^ D:
MATHEMATICAL REDESCRIPTION A. E: GRAPHICAL INTERPRETATION .12 F: SUMMARY
ATTRACTING CYCLES AND ISOCHRONS UNPERTURBED DYNAMICS PERTURBING AN
ATTRACTING-CYCLE OSCUELATOR UNSMOOTH KINETICS 188 159 161 161 198 7.
MEASURING THE TRAJECTORIES OF A CIRCADIAN CLOCK A: INTRODUCTION B: THE
TIME MACHINE EXPERIMENT L!!I? C: UNPERTURBED DYNAMICS 7* D: THE IMPACTOF
LIGHT 206 E: DERIVING THE PINWHEEL EXPERIMENT ZJT F: SOWHAT? 216 G: IN
CONCLUSION 220 228 229 258 A: COLLECTIVE RHYTHRNICITY IN A POPULATION OF
INDEPENDENT OSCILLATORS- HOW MANY OSCILLATORS? B: COLLECTIVE
RHYTHRNICITY IN A COMMUNITY OF ATTRACTING-CYCLE OSCILLATORS C: SPATIALLY
DISTRIBUTED INDEPENDENT OSCILLATORS 2 11 D: ATTRACTING-CYCLE OSCILLATORS
INTERACTING LOCALLY IN TWO-DIMENSIONAL SPACE *^ 250 9. EXCITABLE
KINETICS AND EXCITABLE MEDIA A: EXCITABILITY B: ROTORS 258 C:
THREE-DIMENSIONAL ROTORS Z)T! 10. THE VARIETIES OF PHASELESS EXPERIENCE:
IN WHICH THE GEOMETRICAL ORDERLINESS OF RHYTHMIC ORGANIZATION BREAKS
DOWN IN DIVERSE WAYS AE : S 6 E^? 1 NATURE F DIVERSE STATES OF
AMBIGUOUS PHASE 304 B: THE SMGULANTIES OF UNSMOOTH CYCLES ,* C:
TRANSITION TO BESTIARY Z.Z. 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 35 D: GOLDBETER S PFK KINETICS
351 E: PHASE CONTROL BY ADP 353 F: MORE PHASE-RESETTING EXPERIMENTS 35 4
G: RESULTS: THE TIME CRYSTAL 355 H: A REPEAT USING DIVALENT CATIONS 359
I: A REPEAT USING ACETALDEHYDE 3 60 J: PHASE COMPROMISE EXPERIMENTS 366
13. THE MALONIC ACID REAGENT ( SODIVIIN 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 4! 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 E: EFFORTS TO ANALYTICALLY DERIVE AND NUMERICALLY
CONFIRM THE LAWS OF FILAMENT DYNAMICS F: THE DISCOVERY OF PERSISTENT
RING CONFIGURATIONS CJ: FOR THE FUTURE H: TRANSITION TO CHAPTER 17 ABOUT
HEART MUSCLE 17. ELECTRICAL SINGULAR FILAMENTS IN THE HEART WALL A B C D
E: F: ROTORS IN A FIELD OF COUPLED OSCILLATORS THE PINWHEEL EXPERIMENT
PINWHEEL EXPERIMENT REVISITED (PER) I^HEART FCK 1 I N S T A B I L
I ^ F ** SINGULAR FILAMENT A QUICK SUMMARY OF THE APRIL 1997
EXPERIMENTS WHAT S NEXT? 18. PATTERN FORMATION IN THE FUNGI A: BREADMOLD
WITH A CIRCADIAN CLOCK B: BREADMOLDS IN TWO-DIMENSIONAL GROWTH C:
PATTERN POLYMORPHISM IN BOURRET S NECTRIA D: INTEGRATION OF PATTERN 19.
CIRCADIAN RHYTHMS IN GENERAL SOME CHARACTERISTICS OF CIRCADIAN RHYTHMS
CLOCK EVOLUTION THE MULTIOSCILLATOR VIEW OF CIRCADIAN RHYTHMS 20. THE
CIRCADIAN CLOCKS OF INSECT ECLOSION A: BASICS OF INSECT ECLOSION CLOCKS
B: PHASE AND AMPLITUDE RESETTING IN DROSOPHUEA PSEUDOOBSCURA *-. UTNER
DIPTERA 21, TH E FLOWER OF KALANCHOE A: TYPE 0 RESETTING RESETTING DATA
AT MANY STIMULUS MAGNITUDES A PHASE SINGULARITY ARRHYTHMICITY NOT AN
ARTIFACT OF POPULATIONS AMPLITUDE RESETTING B C D E: 22. THE CELL
MITOTIC CYCLE A: B: THREE BASIC CONCEPTS AND SOME MODELS REGULATION OF
MITOSIS BY THE CIRCADIAN CLOCK 472 474 483 490 492 495 498 505 518 525
532 533 537 538 539 540 543 545 561 576 585 592 592 606 620 624 624 627
630 630 631 632 634 640 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
|
| adam_txt |
ARTHUR T. WINFREE THE GEOMETRY OF BIOLOGICAL TIME SECOND EDITION WITH
336 ILLUSTRATIONS SPRINGER CONTENTS PREFACE TO THE 2000 EDITION *
PREFACE TO THE 1980 EDITION JJ INTRODUCTION X X M 1. CIRCULAR LOGIC *
I A: SPACES B: MAPPINGS ^ 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 B: COUNTEREXAMPLES 75
C: THE WORD "SINGULARITY" 77 80 80 3. THE RULES OF THE RING A: BASIC
PRINCIPLES, PARADIGMS, LANGUAGE CONVENTIONS, AND EPISTEMOLOGY 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 1 1 Q B: COMMUNITIES OF
CLOCKS LIY C: SPATIALLY DISTRIBUTED INDEPENDENT SIMPLE CLOCKS 134 D:
RING DEVICES INTERACTING LOCALLY *38 CONTENTS POPULATIONS OF
ATTRACTING-CYCLE OSCILLATORS 146 5. GETTING OFF THE RING A: ENUMERATING
DIMENSIONS B: DEDUCING THE TOPOLOGY /L C: THE SIMPLEST MODELS ^ D:
MATHEMATICAL REDESCRIPTION A. E: GRAPHICAL INTERPRETATION .12 F: SUMMARY
ATTRACTING CYCLES AND ISOCHRONS UNPERTURBED DYNAMICS PERTURBING AN
ATTRACTING-CYCLE OSCUELATOR UNSMOOTH KINETICS 188 159 161 161 198 7.
MEASURING THE TRAJECTORIES OF A CIRCADIAN CLOCK A: INTRODUCTION B: THE
TIME MACHINE EXPERIMENT L!!I? C: UNPERTURBED DYNAMICS 7* D: THE IMPACTOF
LIGHT 206 E: DERIVING THE PINWHEEL EXPERIMENT ZJT F: SOWHAT? 216 G: IN
CONCLUSION 220 228 229 258 A: COLLECTIVE RHYTHRNICITY IN A POPULATION OF
INDEPENDENT OSCILLATORS- HOW MANY OSCILLATORS? B: COLLECTIVE
RHYTHRNICITY IN A COMMUNITY OF ATTRACTING-CYCLE OSCILLATORS C: SPATIALLY
DISTRIBUTED INDEPENDENT OSCILLATORS 2 11 D: ATTRACTING-CYCLE OSCILLATORS
INTERACTING LOCALLY IN TWO-DIMENSIONAL SPACE *^ 250 9. EXCITABLE
KINETICS AND EXCITABLE MEDIA A: EXCITABILITY B: ROTORS 258 C:
THREE-DIMENSIONAL ROTORS Z)T! 10. THE VARIETIES OF PHASELESS EXPERIENCE:
IN WHICH THE GEOMETRICAL ORDERLINESS OF RHYTHMIC ORGANIZATION BREAKS
DOWN IN DIVERSE WAYS AE : S 6 E^? 1 NATURE F DIVERSE STATES OF
AMBIGUOUS PHASE 304 B: THE SMGULANTIES OF UNSMOOTH CYCLES ,* C:
TRANSITION TO BESTIARY Z.Z. 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 35 D: GOLDBETER'S PFK KINETICS
351 E: PHASE CONTROL BY ADP 353 F: MORE PHASE-RESETTING EXPERIMENTS 35 4
G: RESULTS: THE TIME CRYSTAL 355 H: A REPEAT USING DIVALENT CATIONS 359
I: A REPEAT USING ACETALDEHYDE 3 60 J: PHASE COMPROMISE EXPERIMENTS 366
13. THE MALONIC ACID REAGENT ("SODIVIIN 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 4! " 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 E: EFFORTS TO ANALYTICALLY DERIVE AND NUMERICALLY
CONFIRM THE LAWS OF FILAMENT DYNAMICS F: THE DISCOVERY OF PERSISTENT
RING CONFIGURATIONS CJ: FOR THE FUTURE H: TRANSITION TO CHAPTER 17 ABOUT
HEART MUSCLE 17. ELECTRICAL SINGULAR FILAMENTS IN THE HEART WALL A B C D
E: F: ROTORS IN A FIELD OF COUPLED OSCILLATORS THE PINWHEEL EXPERIMENT
PINWHEEL EXPERIMENT REVISITED (PER) I^HEART FCK 1 """ I N S T A B I L
I ^ F ** SINGULAR FILAMENT A QUICK SUMMARY OF THE APRIL 1997
EXPERIMENTS WHAT S NEXT? 18. PATTERN FORMATION IN THE FUNGI A: BREADMOLD
WITH A CIRCADIAN CLOCK B: BREADMOLDS IN TWO-DIMENSIONAL GROWTH C:
PATTERN POLYMORPHISM IN BOURRET'S NECTRIA D: INTEGRATION OF PATTERN 19.
CIRCADIAN RHYTHMS IN GENERAL SOME CHARACTERISTICS OF CIRCADIAN RHYTHMS
CLOCK EVOLUTION THE MULTIOSCILLATOR VIEW OF CIRCADIAN RHYTHMS 20. THE
CIRCADIAN CLOCKS OF INSECT ECLOSION A: BASICS OF INSECT ECLOSION CLOCKS
B: PHASE AND AMPLITUDE RESETTING IN DROSOPHUEA PSEUDOOBSCURA *-. UTNER
DIPTERA 21, TH E FLOWER OF KALANCHOE A: TYPE 0 RESETTING RESETTING DATA
AT MANY STIMULUS MAGNITUDES A PHASE SINGULARITY ARRHYTHMICITY NOT AN
ARTIFACT OF POPULATIONS AMPLITUDE RESETTING B C D E: 22. THE CELL
MITOTIC CYCLE A: B: THREE BASIC CONCEPTS AND SOME MODELS REGULATION OF
MITOSIS BY THE CIRCADIAN CLOCK 472 474 483 490 492 495 498 505 518 525
532 533 537 538 539 540 543 545 561 576 585 592 592 606 620 624 624 627
630 630 631 632 634 640 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 |
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| ctrlnum | (OCoLC)255239543 (DE-599)BVBBV021746420 |
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| dewey-raw | 571.77 |
| dewey-search | 571.77 |
| dewey-sort | 3571.77 |
| dewey-tens | 570 - Biology |
| discipline | Biologie Informatik Mathematik |
| discipline_str_mv | Biologie Informatik Mathematik |
| edition | 2. ed., [Nachdr.] |
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| id | DE-604.BV021746420 |
| illustrated | Illustrated |
| index_date | 2024-07-02T15:31:01Z |
| indexdate | 2024-07-09T20:43:05Z |
| institution | BVB |
| isbn | 0387989927 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-014959688 |
| oclc_num | 255239543 |
| open_access_boolean | |
| owner | DE-20 DE-706 DE-526 DE-11 |
| owner_facet | DE-20 DE-706 DE-526 DE-11 |
| physical | XXVI, 777 S. Ill., graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| 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., [Nachdr.] New York [u.a.] Springer 2006 XXVI, 777 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Interdisciplinary applied mathematics 12 Literaturverz. S. 661 - 758 Biorhythmus Mathematik Biological rhythms Mathematics Synergetik (DE-588)4058755-1 gnd rswk-swf Kinetik (DE-588)4030665-3 gnd rswk-swf Biomathematik (DE-588)4139408-2 gnd rswk-swf Mathematisches Modell (DE-588)4114528-8 gnd rswk-swf Biologie (DE-588)4006851-1 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Biorhythmus (DE-588)4006896-1 gnd rswk-swf Dynamik (DE-588)4013384-9 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 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014959688&sequence=000001&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 Biorhythmus Mathematik Biological rhythms Mathematics Synergetik (DE-588)4058755-1 gnd Kinetik (DE-588)4030665-3 gnd Biomathematik (DE-588)4139408-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Biologie (DE-588)4006851-1 gnd Mathematik (DE-588)4037944-9 gnd Biorhythmus (DE-588)4006896-1 gnd Dynamik (DE-588)4013384-9 gnd |
| subject_GND | (DE-588)4058755-1 (DE-588)4030665-3 (DE-588)4139408-2 (DE-588)4114528-8 (DE-588)4006851-1 (DE-588)4037944-9 (DE-588)4006896-1 (DE-588)4013384-9 |
| title | The geometry of biological time |
| title_auth | The geometry of biological time |
| title_exact_search | The geometry of biological time |
| title_exact_search_txtP | 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 | Biorhythmus Mathematik Biological rhythms Mathematics Synergetik (DE-588)4058755-1 gnd Kinetik (DE-588)4030665-3 gnd Biomathematik (DE-588)4139408-2 gnd Mathematisches Modell (DE-588)4114528-8 gnd Biologie (DE-588)4006851-1 gnd Mathematik (DE-588)4037944-9 gnd Biorhythmus (DE-588)4006896-1 gnd Dynamik (DE-588)4013384-9 gnd |
| topic_facet | Biorhythmus Mathematik Biological rhythms Mathematics Synergetik Kinetik Biomathematik Mathematisches Modell Biologie Dynamik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=014959688&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004216726 |
| work_keys_str_mv | AT winfreearthurtaylor thegeometryofbiologicaltime |