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

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

    Research output: Contribution to journalArticle

    3 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 languageEnglish
    Pages (from-to)794-810
    Number of pages17
    JournalMathematical Modelling and Analysis
    Volume21
    Issue number6
    DOIs
    Publication statusPublished - 2016 Nov 1

    Fingerprint

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

    Keywords

    • mathematical models
    • NREM sleep
    • REM sleep

    ASJC Scopus subject areas

    • Analysis
    • Modelling and Simulation

    Cite this

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

    In: Mathematical Modelling and Analysis, Vol. 21, No. 6, 01.11.2016, p. 794-810.

    Research output: Contribution to journalArticle

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