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 | |
| Publication status | Published - 2016 Nov 1 |
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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 journal › Article
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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
VL - 21
SP - 794
EP - 810
JO - Mathematical Modelling and Analysis
JF - Mathematical Modelling and Analysis
SN - 1392-6292
IS - 6
ER -