Dresden 2014 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 13: Poster - Glasses / Stat. Phys. Bio. / Networks (joint session DY/BP/CPP/SOE)
DY 13.24: Poster
Dienstag, 1. April 2014, 09:30–12:30, P1
Extended diffusion model of sleep depth dynamics — •Anna Barkentien1 and Jens Christian Claussen2,1 — 1INB, Universität zu Lübeck, Germany — 2Computational Systems Biology Lab, Research II, Jacobs University Bremen, Germany
The duration of wake bouts during sleep has puzzled complex systems scientists since a decade since [1], as these distributions eventually resemble a power-law.
The theoretical understanding is incomplete, biologically plausible models still are not available. A pure Markov analysis [2] assuming random switching however ignores any deterministic components in the dynamics which are manifest in time correlations. The phenomenological model proposed in [1] describes sleep depth by a one-dimensional diffusion process with a reflecting border for sleep and a restoring force for wake. We extend this model in [3] to account for the REM state and modify the restoring force law to account for deviations to the power law that are observed in data from some (but not all) labs and obtain a better fit to data [3].
We conclude that a refined model as [3] is necessary to account for the different experimental results, but significantly larger cohorts of sleep studies would be needed to distinguish between the two-regime and the one-regime distributions.
This concerns only the wake → sleep transition, the sleep → wake transition remains consistant with a random process homogeneous in time.
[1] C.C. Lo et al, EPL 57, 631, 2002.
[2] J.W. Kim et al, PRL 102, 2009.
[3] A. Barkentien and J.C. Claussen (in preparation).