A Biased Diffusion Approach to Sleep Dynamics Reveals Neuronal Characteristics

Hila Dvir, Jan W. Kantelhardt, Melanie Zinkhan, Frank Pillmann, Andras Szentkiralyi, Anne Obst, Wolfgang Ahrens, Ronny P. Bartsch

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

We propose a biased diffusion model of accumulated subthreshold voltage fluctuations in wake-promoting neurons to account for stochasticity in sleep dynamics and to explain the occurrence of brief arousals during sleep. Utilizing this model, we derive four neurophysiological parameters related to neuronal noise level, excitability threshold, deep-sleep threshold, and sleep inertia. We provide the first analytic expressions for these parameters, and we show that there is good agreement between empirical findings from sleep recordings and our model simulation results. Our work suggests that these four parameters can be of clinical importance because we find them to be significantly altered in elderly subjects and in children with autism.

Original languageEnglish
Pages (from-to)987-997
Number of pages11
JournalBiophysical Journal
Volume117
Issue number5
DOIs
StatePublished - 3 Sep 2019

Bibliographical note

Publisher Copyright:
© 2019 Biophysical Society

Funding

This research was supported by a Shulamit Aloni Fellowship of the Ministry of Science, Technology & Space, Israel (grant no. 3-13276 to H.D.), the Colman-Soref Grant Foundation Fellowship of the Council for Higher Education, Israel (grant no. kra/colman/194 to H.D.), the Israel Science Foundation (grant no. 1657/16 to R.P.B.), and the German Israeli Foundation (grant no. I-1372-303.7/2016 to R.P.B.). This project was conducted in the context of the pretest studies of the GNC (https://nako.de/). These were funded by the Federal Ministry of Education and Research, Förderkennzeichen 01ER1001A-I, and supported by the Helmholtz Association as well as by the participating universities and Institutes of the Leibniz Association. This research was supported by a Shulamit Aloni Fellowship of the Ministry of Science, Technology & Space, Israel (grant no. 3-13276 to H.D.), the Colman-Soref Grant Foundation Fellowship of the Council for Higher Education, Israel (grant no. kra/colman/194 to H.D.), the Israel Science Foundation (grant no. 1657/16 to R.P.B.), and the German Israeli Foundation (grant no. I-1372-303.7/2016 to R.P.B.). This project was conducted in the context of the pretest studies of the GNC ( https://nako.de/ ). These were funded by the Federal Ministry of Education and Research , Förderkennzeichen 01ER1001A-I , and supported by the Helmholtz Association as well as by the participating universities and Institutes of the Leibniz Association .

FundersFunder number
GNC
German Israeli FoundationI-1372-303.7/2016
Leibniz-Gemeinschaft
Ministry of Science, Technology and Space3-13276
Bundesministerium für Bildung und Forschung
Israel Science Foundation1657/16
Council for Higher Education
Helmholtz Association

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