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

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

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

Keywords

  • NREM sleep
  • REM sleep
  • mathematical models

ASJC Scopus subject areas

  • Analysis
  • Modelling and Simulation

Fingerprint Dive into the research topics of 'Mathematical Phase Model of Neural Populations Interaction in Modulation of REM/NREM Sleep'. Together they form a unique fingerprint.

Cite this