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Methods Inf Med 1997; 36(04/05): 282-285
DOI: 10.1055/s-0038-1636849
Original Article
Schattauer GmbH

An Interpretation of the Internal Desynchronizations Based on Dynamics of the Two-process Model

M. Nakao
1   Laboratory of Neurophysiology and Bioinformatics, Graduate School of Information Sciences, Tohoku University, Sendai, Japan
,
H. Sakai
1   Laboratory of Neurophysiology and Bioinformatics, Graduate School of Information Sciences, Tohoku University, Sendai, Japan
,
M. Yamamoto
1   Laboratory of Neurophysiology and Bioinformatics, Graduate School of Information Sciences, Tohoku University, Sendai, Japan
› Institutsangaben
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Publikationsdatum:
19. Februar 2018 (online)

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Abstract.

Daan’s two-process model is known to be one of the most powerful models, covering various situations from free-running to sleep deprivation. In this study, bifurcation properties of the model dynamics are clarified using a circle map. In addition, the two-process model is applied to simulate the two distinct patterns (the period-prolonged: I and the period-shortened: II) of sleep-wake cycles during internal desynchronizations. We propose the novel interpretation that types I and II could be regarded as mutual entrainments between the body temperature rhythm and the sleep-wake cycle with the period ratios 3:4 and 3:2, respectively. From the bifurcation properties of the two-process model obtained above, the model is shown to be able to generate the respective type of mutual entrainment with an appropriate range of a parameter value, i.e, a gap between thresholds. The variable behavior of human circadian rhythm is suggested to be systematically understood based on the bifurcation properties of the two-process model.

Keywords:

Two-process Model - Desynchronization - Entrainment - Sleepwake Cycle - Bifurcation
 

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