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

Paolo Acquistapace; Anna P. Candeloro; Vladimir Georgiev; Maria L. Manca

doi:10.3846/13926292.2016.1247302

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

Paolo Acquistapace, Anna P. Candeloro, Vladimir Georgiev, Maria L. Manca

Graduate School of Advanced Science and Engineering

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	794-810
Number of pages	17
Journal	Mathematical Modelling and Analysis
Volume	21
Issue number	6
DOIs	https://doi.org/10.3846/13926292.2016.1247302
Publication status	Published - 2016 Nov 1

Keywords

NREM sleep
REM sleep
mathematical models

ASJC Scopus subject areas

Analysis
Modelling and Simulation

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AU - Georgiev, Vladimir

AU - Manca, Maria L.

PY - 2016/11/1

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N2 - 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.

AB - 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.

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

Abstract

Keywords

ASJC Scopus subject areas

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