Cover Image
Read Now

The Mathematical Structure of the Human Sleep-Wake Cycle

Over the past three years I have grown accustomed to the puzzled look which appears on people's faces when they hear that I am a mathematician who studies sleep. They wonder, but are usually too polite to ask, what does mathematics have to do with sleep? Instead they ask the questions that fasc...

Full description

Bibliographic Details
Main Author: Strogatz, Steven H.
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1986, 1986
Edition:1st ed. 1986
Series:Lecture Notes in Biomathematics
Subjects:
Statistics 
Biomathematics
Mathematical And Computational Biology
Statistics For Life Sciences, Medicine, Health Sciences
Probability Theory And Stochastic Processes
Probabilities
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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

Similar Items