Mathematical Phase Model of Neural Populations Interaction in Modulation of REM/NREM Sleep

Aim of the present study is to compare the synchronization of the classical Kuramoto system and the reaction - diffusion space time Landau - Ginzburg model, in order to describe the alternation of REM (rapid eye movement) and NREM (non-rapid eye movement) sleep across the night. These types of sleep...

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Bibliographic Details
Published inMathematical modelling and analysis Vol. 21; no. 6; pp. 794 - 810
Main Authors Acquistapace, Paolo, Candeloro, Anna P., Georgiev, Vladimir, Manca, Maria L.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.11.2016
Vilnius Gediminas Technical University
Subjects
Alternations
Eye movements
Mathematical models
Modulation
NREM sleep
Populations
REM sleep
Sleep
Slow-wave sleep
Synchronization
Time synchronization
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Summary:Aim of the present study is to compare the synchronization of the classical Kuramoto system and the reaction - diffusion space time Landau - Ginzburg model, in order to describe the alternation of REM (rapid eye movement) and NREM (non-rapid eye movement) sleep across the night. These types of sleep are considered as produced by the cyclic oscillation of two neuronal populations that, alternatively, promote and inhibit the REM sleep. Even if experimental data will be necessary, a possible interpretation of the results has been proposed.
Bibliography:ObjectType-Article-1
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ISSN:1392-6292
1648-3510
DOI:10.3846/13926292.2016.1247302