The Mathematical Structure of the Human Sleep-Wake Cycle

Steven Strogatz, geboren 1959, promovierte an der Harvard University in Mathematik. Heute lehrt er als Professor für angewandte Mathematik an der Cornell University. Er ist einer der weltweit meistzitierten Mathematiker und erhielt eine Auszeichnung für sein Lebenswerk für mathematische Kommunikation. Für die New York Times schrieb er die populäre Kolumne "The Elements of Math", auf der dieses Buch basiert.

1. Introduction.- 1.1 Beyond Time.- 1.2 The Rosetta Stone.- 1.3 Overview.- 2. Experimental Background.- 2.1 Phenomena and Terminology.- 2.2 History of Free-Run Studies.- 3. Data Bank.- 3.1 Subject 1.- 3.2 Subject 2.- 3.3 Subject 3.- 3.4 Subject 4.- 3.5 Subject 5.- 3.6 Subject 6.- 3.7 Subject 7.- 3.8 Subject 8.- 3.9 Subject 9.- 3.10 Subject 10.- 3.11 Subject 11.- 3.12 Subject 12.- 3.13 Subject 13.- 3.14 Subject 14.- 3.15 Subject 15.- 3.16 Subject 16.- 3.17 Subject 17.- 3.18 Subject 18.- 3.19 Subject 19.- 3.20 Subject 20.- 3.21 Subject 21.- 3.22 Subject 22.- 4. Patterns.- 4.1 Durations Vary with Circadian Phase of Sleep Onset.- 4.2 Sleep Length and Prior Wake Length.- 4.3 Timing of Wake-Up.- 4.4 Timing of Sleep Onset.- 4.5 Wake-Maintenance Zones.- 4.6 Estimating Circadian Parameters from Sleep Data Alone.- 4.7 Phase-Trapping.- 4.8 Slow Changes in Sleep-Wake Cycle Length.- 4.9 Miscellany and Missing Patterns.- 4.10 Napping and Split Sleep.- 4.11 Summary: The Basic Patterns of Internal Desynchrony.- 5. Theoretical Background.- 5.1 Conceptual Model of Aschoff and Wever.- 5.2 Wever's Noninteractive Model.- 5.3 Kronauer's XY Model: Coupled Van der Pol Oscillators.- 5.4 Conceptual Model of Borbely.- 5.5 Winfree's Half-Model.- 5.6 Gated Pacemaker of Daan, Beersma, and Borbely.- 5.7 Other Approaches.- 6. Analysis of Models.- 6.1 Introduction.- 6.2 BEATS Model.- 6.3 PHASE Model.- 6.4 XY Model of Kronauer et al..- 6.5 Model of Daan et al..- 7. Simulations.- 7.1 Transition from Synchrony to Desynchrony.- 7.2 Napping and Split Sleep Simulations.- 7.3 A Representative Simulation of Internal Desynchrony.- 7.4 Overall Performance During Desynchrony.- 7.5 Summary and Discussion.- 8. Epilogue.- 8.1 Contributions.- 8.2 Directions for Future Research.- References.- Index of Authors.