Phase Coherence Induced by Additive Gaussian and Non-gaussian Noise in Excitable Networks With Application to Burst Suppression-Like Brain Signals

Frontiers in Applied Mathematics and Statistics

Axel Hutt¹  Heiko A. Kaiser²  Darren Hight²  Jérémie Lefebvre³ 

[1] Department for Data Assimilation, German Weather Service, Offenbach, Germany;Department of Anaesthesiology, Inselspital, Bern University Hospital, University of Bern, Bern, Switzerland;Krembil Research Institute, University Health Network, Toronto, ON, Canada;

关键词: coherence resonance;    burst suppression;    phase transition;    stochastic process;    excitable system;   

DOI  :  10.3389/fams.2019.00069

来源: DOAJ

【 摘 要 】

It is well-known that additive noise affects the stability of non-linear systems. Using a network composed of two interacting populations, detailed stochastic and non-linear analysis demonstrates that increasing the intensity of iid additive noise induces a phase transition from a spectrally broad-band state to a phase-coherent oscillatory state. Corresponding coherence resonance-like system behavior is described analytically for iid noise as well. Stochastic transitions and coherence resonance-like behavior were also found to occur for non-iid additive noise induced by increased heterogeneity, corresponding analytical results complement the analysis. Finally, the results are applied to burst suppression-like patterns observed in electroencephalographic data under anesthesia, providing strong evidence that these patterns reflect jumps between random and phase-coherent neural states induced by varying external additive noise levels.

【 授权许可】

Unknown