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

Paolo Acquistapace, Anna P. Candeloro, Vladimir Simeonov Gueorguiev, Maria L. Manca

    研究成果: Article

    4 引用 (Scopus)

    抄録

    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.

    元の言語English
    ページ(範囲)794-810
    ページ数17
    ジャーナルMathematical Modelling and Analysis
    21
    発行部数6
    DOI
    出版物ステータスPublished - 2016 11 1

    Fingerprint

    Eye Movements
    Eye movements
    Sleep
    Modulation
    Interaction
    Ginzburg-Landau Model
    Alternation
    Reaction-diffusion
    Synchronization
    Experimental Data
    Model
    Oscillation
    Necessary

    ASJC Scopus subject areas

    • Analysis
    • Modelling and Simulation

    これを引用

    Mathematical Phase Model of Neural Populations Interaction in Modulation of REM/NREM Sleep. / Acquistapace, Paolo; Candeloro, Anna P.; Gueorguiev, Vladimir Simeonov; Manca, Maria L.

    :: Mathematical Modelling and Analysis, 巻 21, 番号 6, 01.11.2016, p. 794-810.

    研究成果: Article

    Acquistapace, Paolo ; Candeloro, Anna P. ; Gueorguiev, Vladimir Simeonov ; Manca, Maria L. / Mathematical Phase Model of Neural Populations Interaction in Modulation of REM/NREM Sleep. :: Mathematical Modelling and Analysis. 2016 ; 巻 21, 番号 6. pp. 794-810.
    @article{e6dddaa3fd5e404b97e7a385a4839225,
    title = "Mathematical Phase Model of Neural Populations Interaction in Modulation of REM/NREM Sleep",
    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.",
    keywords = "mathematical models, NREM sleep, REM sleep",
    author = "Paolo Acquistapace and Candeloro, {Anna P.} and Gueorguiev, {Vladimir Simeonov} and Manca, {Maria L.}",
    year = "2016",
    month = "11",
    day = "1",
    doi = "10.3846/13926292.2016.1247302",
    language = "English",
    volume = "21",
    pages = "794--810",
    journal = "Mathematical Modelling and Analysis",
    issn = "1392-6292",
    publisher = "Vilnius Gediminas Technical University",
    number = "6",

    }

    TY - JOUR

    T1 - Mathematical Phase Model of Neural Populations Interaction in Modulation of REM/NREM Sleep

    AU - Acquistapace, Paolo

    AU - Candeloro, Anna P.

    AU - Gueorguiev, Vladimir Simeonov

    AU - Manca, Maria L.

    PY - 2016/11/1

    Y1 - 2016/11/1

    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.

    KW - mathematical models

    KW - NREM sleep

    KW - REM sleep

    UR - http://www.scopus.com/inward/record.url?scp=84995968149&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=84995968149&partnerID=8YFLogxK

    U2 - 10.3846/13926292.2016.1247302

    DO - 10.3846/13926292.2016.1247302

    M3 - Article

    AN - SCOPUS:84995968149

    VL - 21

    SP - 794

    EP - 810

    JO - Mathematical Modelling and Analysis

    JF - Mathematical Modelling and Analysis

    SN - 1392-6292

    IS - 6

    ER -