Delay-induced synchronization transition in a small-world neuronal network of FitzHugh–Nagumo neurons subjected to sine-Wiener bounded noise

Noise and delay are ubiquitous in brain and they have significant effects on neuronal network synchronization and even brain functions. Based on a small-world neuronal network of delayed FitzHugh–N...

[1]  Jun Tang,et al.  Wave emitting and propagation induced by autapse in a forward feedback neuronal network , 2015, Neurocomputing.

[2]  U. Rutishauser,et al.  Human memory strength is predicted by theta-frequency phase-locking of single neurons , 2010, Nature.

[3]  Olaf Sporns,et al.  Network structure of cerebral cortex shapes functional connectivity on multiple time scales , 2007, Proceedings of the National Academy of Sciences.

[4]  R. FitzHugh Impulses and Physiological States in Theoretical Models of Nerve Membrane. , 1961, Biophysical journal.

[5]  Jun Tang,et al.  Study of spatial signal transduction in bistable switches , 2016 .

[6]  Beom Jun Kim,et al.  Synchronization on small-world networks. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[7]  L. Ning,et al.  The effect of sine-Wiener noises on transition in a genotype selection model with time delays , 2016 .

[8]  Yuangen Yao,et al.  Weak periodic signal detection by sine-Wiener-noise-induced resonance in the FitzHugh–Nagumo neuron , 2018, Cognitive Neurodynamics.

[9]  Jun Ma,et al.  Impact of bounded noise on the formation and instability of spiral wave in a 2D Lattice of neurons , 2017, Scientific Reports.

[10]  Chenggui Yao,et al.  Resonance in an ensemble of excitable reaction-diffusion systems under spatially periodic force , 2017 .

[11]  Jun Ma,et al.  Delay and diversity-induced synchronization transitions in a small-world neuronal network. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[12]  W. Singer,et al.  Stimulus-dependent synchronization of neuronal responses in the visual cortex of the awake macaque monkey , 1996, The Journal of neuroscience : the official journal of the Society for Neuroscience.

[13]  Jun Ma,et al.  Autapse-induced synchronization in a coupled neuronal network , 2015 .

[14]  C. Yao,et al.  Spatiotemporal stochastic resonance in a bistable FitzHugh-Nagumo ring with phase-repulsive coupling , 2011 .

[15]  Thomas Nowotny,et al.  Enhancement of Synchronization in a Hybrid Neural Circuit by Spike-Timing Dependent Plasticity , 2003, The Journal of Neuroscience.

[16]  Effects of two different time delays on transport properties of coupled ratchets , 2010 .

[17]  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.

[18]  Guanrong Chen,et al.  Synchronization transitions on small-world neuronal networks: Effects of information transmission delay and rewiring probability , 2008 .

[19]  Alberto d'Onofrio,et al.  "Fuzzy oncology": Fuzzy noise induced bifurcations and their application to anti-tumor chemotherapy , 2008, Appl. Math. Lett..

[20]  Yubing Gong,et al.  Spike-timing-dependent plasticity enhanced synchronization transitions induced by autapses in adaptive Newman-Watts neuronal networks , 2016, Biosyst..

[21]  Jun Ma,et al.  A review and guidance for pattern selection in spatiotemporal system , 2017 .

[22]  Ying Xu,et al.  Effects of ion channel blocks on electrical activity of stochastic Hodgkin-Huxley neural network under electromagnetic induction , 2017, Neurocomputing.

[23]  Danielle Smith Bassett,et al.  Small-World Brain Networks , 2006, The Neuroscientist : a review journal bringing neurobiology, neurology and psychiatry.

[24]  M. Sheng,et al.  Role of NMDA Receptor Subtypes in Governing the Direction of Hippocampal Synaptic Plasticity , 2004, Science.

[25]  G. Ermentrout,et al.  Reliability, synchrony and noise , 2008, Trends in Neurosciences.

[26]  Ahmed Alsaedi,et al.  Collective responses in electrical activities of neurons under field coupling , 2018, Scientific Reports.

[27]  Stephen F. Traynelis,et al.  Getting the most out of noise in the central nervous system , 1998, Trends in Neurosciences.

[28]  Xiao Fan Wang,et al.  Synchronization in Small-World Dynamical Networks , 2002, Int. J. Bifurc. Chaos.

[29]  Sergey M. Bezrukov,et al.  Noise-induced enhancement of signal transduction across voltage-dependent ion channels , 1995, Nature.

[30]  Xiaole Yue,et al.  Bounded noise enhanced stability and resonant activation , 2012 .

[31]  Y. Dan,et al.  Spike timing-dependent plasticity: a Hebbian learning rule. , 2008, Annual review of neuroscience.

[32]  Alberto Gandolfi,et al.  Resistance to antitumor chemotherapy due to bounded-noise-induced transitions. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.

[33]  Ming Yi,et al.  Detection of sub-threshold periodic signal by multiplicative and additive cross-correlated sine-Wiener noises in the FitzHugh–Nagumo neuron , 2018 .

[34]  Alberto d’Onofrio,et al.  Bounded Noises in Physics, Biology, and Engineering , 2013 .

[35]  S. Bernard,et al.  Spontaneous synchronization of coupled circadian oscillators. , 2005, Biophysical journal.

[36]  J. Fell,et al.  Memory formation by neuronal synchronization , 2006, Brain Research Reviews.

[37]  Xiaoqin Luo,et al.  Diversity-induced resonance with two different kinds of time delays , 2011 .

[38]  W. Singer Synchronization of cortical activity and its putative role in information processing and learning. , 1993, Annual review of physiology.

[39]  I. Tomlinson,et al.  A nonlinear mathematical model of cell turnover, differentiation and tumorigenesis in the intestinal crypt. , 2007, Journal of theoretical biology.

[40]  Qi Wang,et al.  Autaptic self-feedback-induced synchronization transitions in Newman-Watts neuronal network with time delays , 2015 .

[41]  Ming Yi,et al.  Coherence resonance induced by cross-correlated sine-Wiener noises in the FitzHugh-Nagumo neurons , 2017 .

[42]  Ya Jia,et al.  Mode transition in electrical activities of neuron driven by high and low frequency stimulus in the presence of electromagnetic induction and radiation , 2017, Nonlinear Dynamics.

[43]  Xiaoqin Luo,et al.  Effects of adaptive coupling on stochastic resonance of small-world networks. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[44]  Atsushi Uchida,et al.  Reliability and synchronization in a delay-coupled neuronal network with synaptic plasticity. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[45]  L. Ning,et al.  Phase transitions induced by time-delay and different noises , 2017 .

[46]  Yuangen Yao,et al.  Impact of Bounded Noise and Rewiring on the Formation and Instability of Spiral Waves in a Small-World Network of Hodgkin-Huxley Neurons , 2017, PloS one.