Coherence resonance in stimulated neuronal network

Abstract We consider a neuronal network model where an external stimulus excites some neurons, which in turn activate other neurons in the network via synapse. We find that the regularity in macroscopic spiking activity of the whole neuronal network maximizes at a certain level of intrinsic noise. A similar resonant behavior, referred to as coherence resonance, is also observed with respect to the stimulus strength, network size, and number of stimulated neurons. The coherence is quantitatively estimated with the signal-to-noise ratio calculated from the average power spectra of the macroscopic signal and with autocorrelation time. Overall synchronization in the neuronal network also exhibits a non-monotonic dependence on the network size.

[1]  C. Elger,et al.  CAN EPILEPTIC SEIZURES BE PREDICTED? EVIDENCE FROM NONLINEAR TIME SERIES ANALYSIS OF BRAIN ELECTRICAL ACTIVITY , 1998 .

[2]  Massimo Riani,et al.  Visual Perception of Stochastic Resonance , 1997 .

[3]  A N Pisarchik,et al.  Prebifurcation noise amplification in a fiber laser. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[4]  Hongjun Cao,et al.  Stability and synchronization of coupled Rulkov map-based neurons with chemical synapses , 2016, Commun. Nonlinear Sci. Numer. Simul..

[5]  J. Kurths,et al.  Coherence Resonance in a Noise-Driven Excitable System , 1997 .

[6]  R Jaimes-Reátegui,et al.  Deterministic coherence resonance in coupled chaotic oscillators with frequency mismatch. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  Z. Duan,et al.  Synchronization transitions on scale-free neuronal networks due to finite information transmission delays. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  J. M. Sausedo-Solorio,et al.  Synchronization in network motifs of delay-coupled map-based neurons , 2017 .

[9]  Nikolai F. Rulkov,et al.  Oscillations in Large-Scale Cortical Networks: Map-Based Model , 2004, Journal of Computational Neuroscience.

[10]  Gregoire Nicolis,et al.  Stochastic resonance , 2007, Scholarpedia.

[11]  Daniele Marinazzo,et al.  Steady-state visual evoked potentials and phase synchronization in migraine patients. , 2004, Physical review letters.

[12]  M. O. Zhuravlev,et al.  Experimental measurements of human brain noise intensity in perception of ambiguous images , 2016 .

[13]  A. Opstal Dynamic Patterns: The Self-Organization of Brain and Behavior , 1995 .

[14]  Hugo L D de S Cavalcante,et al.  Experimental deterministic coherence resonance. , 2004, Physical review letters.

[15]  Alexander N. Pisarchik,et al.  Critical slowing down and noise-induced intermittency in bistable perception: bifurcation analysis , 2014, Biological Cybernetics.

[16]  C. Mirasso,et al.  System size coherence resonance in coupled FitzHugh-Nagumo models , 2003 .

[17]  A. Pisarchik,et al.  Noise-induced on-off intermittency in mutually coupled semiconductor lasers , 2013 .

[18]  Alexander B. Neiman,et al.  COHERENCE RESONANCE AT NOISY PRECURSORS OF BIFURCATIONS IN NONLINEAR DYNAMICAL SYSTEMS , 1997 .

[19]  Florian Gomez,et al.  Macroscopic bursting in physiological networks: node or network property? , 2015 .

[20]  Mahmut Ozer,et al.  Autapse-induced multiple coherence resonance in single neurons and neuronal networks , 2016, Scientific Reports.

[21]  Gustavo Deco,et al.  Stochastic dynamics as a principle of brain function , 2009, Progress in Neurobiology.

[22]  A. Pikovsky,et al.  System size resonance in coupled noisy systems and in the Ising model. , 2002, Physical review letters.

[23]  R Jaimes-Reátegui,et al.  Experimental evidence of deterministic coherence resonance in coupled chaotic systems with frequency mismatch. , 2016, Physical review. E.