2018
DOI: 10.1371/journal.pcbi.1006160
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Phase-lags in large scale brain synchronization: Methodological considerations and in-silico analysis

Abstract: Architecture of phase relationships among neural oscillations is central for their functional significance but has remained theoretically poorly understood. We use phenomenological model of delay-coupled oscillators with increasing degree of topological complexity to identify underlying principles by which the spatio-temporal structure of the brain governs the phase lags between oscillatory activity at distant regions. Phase relations and their regions of stability are derived and numerically confirmed for two… Show more

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Cited by 75 publications
(153 citation statements)
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“…To test this rigorously, we developed a generative four-population-Kuramoto model [71] for investigating the joint effects of within-and cross-frequency phase coupling (see Methods I). The model comprised of two "areas" that each contained two populations of weakly coupled oscillators; one at low frequency (LF) and another at high frequency (HF) so that fHF = 2·fLF, i.e., with the n:m ratio (hereafter defined as LF:HF ratio) of 1:2 (Fig 2a).…”
Section: Simulation Of Cfc and Spurious Interactions With Kuramoto Modelmentioning
confidence: 99%
“…To test this rigorously, we developed a generative four-population-Kuramoto model [71] for investigating the joint effects of within-and cross-frequency phase coupling (see Methods I). The model comprised of two "areas" that each contained two populations of weakly coupled oscillators; one at low frequency (LF) and another at high frequency (HF) so that fHF = 2·fLF, i.e., with the n:m ratio (hereafter defined as LF:HF ratio) of 1:2 (Fig 2a).…”
Section: Simulation Of Cfc and Spurious Interactions With Kuramoto Modelmentioning
confidence: 99%
“…These models do not include transmission delays, but exhibit exponents expected for a critical branching process. Less abstract analysis regarding the coexistence of critical and oscillatory dynamics must incorporate biologically relevant transmission delays to which neuronal oscillations are known to exhibit high sensitivity 75,76 .…”
Section: The Temporal Profile Of Neuronal Avalanches 15mentioning
confidence: 99%
“…Participants. 30,20,50,30,20 and 15 participants (age range: 18-35 years; 69% of females) were respectively recruited for experiments 1 to 6. The experiments followed the local ethics guidelines from Aix-Marseille University.…”
Section: Methodsmentioning
confidence: 99%
“…The noise is additive and Gaussian with an intensity D, such as ⟨ ( )⟩ = 0 and ⟨ ( ) (t′)⟩ = 2 δ(t − t′)δ (where ⟨•⟩ denotes the time-average operator and δ the delta function). In line with studies implementing models of coupled oscillators, we ran the simulation during 1e4 seconds, in order to obtain an equilibrium in the interaction between the coupled oscillators 50,92 . The sampling rate of the simulation was 25 ms. We thus set internal time-delays to 0 ms (i.e., < 25 ms).…”
Section: Timing Of Motor Acts In Tracking Sessionsmentioning
confidence: 99%
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