The Electrical Activity of Neurons Subject to Electromagnetic Induction and Gaussian White Noise

Neurons can give appropriate response to external electrical stimuli and the modes in electrical activities can be carefully selected. Most of the neuron models mainly emphasize on the ion channel ...

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

[2]  Chunni Wang,et al.  Defects formation and wave emitting from defects in excitable media , 2016, Commun. Nonlinear Sci. Numer. Simul..

[3]  J M Bekkers,et al.  Neurophysiology: Are autapses prodigal synapses? , 1998, Current Biology.

[4]  Qingdu Li,et al.  Hyperchaos in a 4D memristive circuit with infinitely many stable equilibria , 2015 .

[5]  Daqing Guo,et al.  Stochastic resonance in Hodgkin-Huxley neuron induced by unreliable synaptic transmission. , 2012, Journal of theoretical biology.

[6]  M. Perc,et al.  Regulation of Irregular Neuronal Firing by Autaptic Transmission , 2016, Scientific Reports.

[7]  M. Perc,et al.  Complex synchronous behavior in interneuronal networks with delayed inhibitory and fast electrical synapses. , 2012, Physical review. E, Statistical, nonlinear, and soft matter physics.

[8]  Jun Ma,et al.  Pattern selection in neuronal network driven by electric autapses with diversity in time delays , 2015 .

[9]  Adi R. Bulsara,et al.  Tuning in to Noise , 1996 .

[10]  Huagan Wu,et al.  Coexisting infinitely many attractors in active band-pass filter-based memristive circuit , 2016 .

[11]  Mahmut Ozer,et al.  Autaptic pacemaker mediated propagation of weak rhythmic activity across small-world neuronal networks , 2016 .

[12]  Huagan Wu,et al.  Chaotic and periodic bursting phenomena in a memristive Wien-bridge oscillator , 2016 .

[13]  Matjaz Perc,et al.  Firing regulation of fast-spiking interneurons by autaptic inhibition , 2016, 1606.01358.

[14]  Vladimir E. Bondarenko,et al.  Information processing, memories, and synchronization in chaotic neural network with the time delay , 2005, Complex..

[15]  Giuseppe Grassi,et al.  On the simplest fractional-order memristor-based chaotic system , 2012 .

[16]  Ergin Yılmaz,et al.  Enhancement of pacemaker induced stochastic resonance by an autapse in a scale-free neuronal network , 2016, Science China Technological Sciences.

[17]  H. Gu,et al.  Phase noise-induced double coherence resonances in a neuronal model , 2015 .

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

[19]  Jun Tang,et al.  Astrocyte calcium wave induces seizure-like behavior in neuron network , 2017 .

[20]  Matjaz Perc,et al.  Amplification of information transfer in excitable systems that reside in a steady state near a bifurcation point to complex oscillatory behavior. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.

[21]  Matjaz Perc,et al.  Controlling the spontaneous spiking regularity via channel blocking on Newman-Watts networks of Hodgkin-Huxley neurons , 2009, 0905.3084.

[22]  Jun Ma,et al.  Information Transmission in a Neuron-Astrocyte Coupled Model , 2013, PloS one.

[23]  Wen-Ting Yu,et al.  Heterogeneous delay-induced asynchrony and resonance in a small-world neuronal network system , 2016 .

[24]  Uchechukwu E. Vincent,et al.  Multi-switching combination synchronization of chaotic systems , 2015, Nonlinear Dynamics.

[25]  Christoph S. Herrmann,et al.  Autapse Turns Neuron into oscillator , 2004, Int. J. Bifurc. Chaos.

[26]  Jian Xu,et al.  An introduction and guidance for neurodynamics , 2015 .

[27]  Danfeng Zhu,et al.  Phase-response synchronization in neuronal population , 2014, Science China Technological Sciences.

[28]  Q. Lu,et al.  Cluster synchronization and rhythm dynamics in a complex neuronal network with chemical synapses , 2015 .

[29]  Shenquan Liu,et al.  Synchronization of two electrically coupled inspiratory pacemaker neurons , 2014 .

[30]  J. Hindmarsh,et al.  A model of neuronal bursting using three coupled first order differential equations , 1984, Proceedings of the Royal Society of London. Series B. Biological Sciences.

[31]  J. Bekkers.  Synaptic Transmission: Functional Autapses in the Cortex , 2003, Current Biology.

[32]  Wuyin Jin,et al.  Simulating the formation of spiral wave in the neuronal system , 2013 .

[33]  Matjaz Perc,et al.  Minimal model for spatial coherence resonance. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[34]  Chenggui Yao,et al.  The infinite-scroll attractor and energy transition in chaotic circuit , 2016 .

[35]  Jun Ma,et al.  Effect of calcium channel noise in astrocytes on neuronal transmission , 2016, Commun. Nonlinear Sci. Numer. Simul..

[36]  Daqing Guo,et al.  Stochastic and coherence resonance in feed-forward-loop neuronal network motifs. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

[37]  Kehui Sun,et al.  A nonlinear circuit with two memcapacitors , 2016 .

[38]  Chunni Wang,et al.  Model of electrical activity in cardiac tissue under electromagnetic induction , 2016, Scientific Reports.

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

[40]  Jun Ma,et al.  Multiple modes of electrical activities in a new neuron model under electromagnetic radiation , 2016, Neurocomputing.

[41]  Matjaž Perc,et al.  Effects of small-world connectivity on noise-induced temporal and spatial order in neural media , 2007 .

[42]  S. -. Lee,et al.  Parameter dependence of stochastic resonance in the stochastic Hodgkin-Huxley neuron. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[43]  Jiajia Li,et al.  Dynamic transition of neuronal firing induced by abnormal astrocytic glutamate oscillation , 2016, Scientific Reports.

[44]  Jun Ma,et al.  Model of electrical activity in a neuron under magnetic flow effect , 2016 .

[45]  Huaguang Gu,et al.  White noise-induced spiral waves and multiple spatial coherence resonances in a neuronal network with type I excitability ☆ , 2013 .

[46]  Wuyin Jin,et al.  Pattern selection and self-organization induced by random boundary initial values in a neuronal network , 2016 .

[47]  Ma Jun,et al.  Transition of electric activity of neurons induced by chemical and electric autapses , 2015 .

[48]  Qingdu Li,et al.  On hyperchaos in a small memristive neural network , 2014 .

[49]  Matjaž Perc,et al.  Pacemaker-guided noise-induced spatial periodicity in excitable media , 2009 .

[50]  Ma Jun,et al.  A review for dynamics of collective behaviors of network of neurons , 2015 .

[51]  Long Huang,et al.  Parameters estimation, mixed synchronization, and antisynchronization in chaotic systems , 2014, Complex..

[52]  Xianfa Jiao,et al.  Synchronous firing patterns of neuronal population with excitatory and inhibitory connections , 2010 .

[53]  Matjaž Perc,et al.  Thoughts out of noise , 2006 .

[54]  Lili Zhou,et al.  Generating hyperchaotic multi-wing attractor in a 4D memristive circuit , 2016, Nonlinear Dynamics.

[55]  Matjaz Perc,et al.  Delay-induced multiple stochastic resonances on scale-free neuronal networks. , 2009, Chaos.

[56]  Guanrong Chen,et al.  Chaos synchronization of coupled neurons with gap junctions , 2006 .

[57]  Jinde Cao,et al.  Adaptive synchronization of fractional-order memristor-based neural networks with time delay , 2015, Nonlinear Dynamics.

[58]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1952, The Journal of physiology.

[59]  Zhijie Wang,et al.  Robust synchronization of bursting Hodgkin–Huxley neuronal systems coupled by delayed chemical synapses , 2015 .

[60]  Yong Chen,et al.  Effect of an autapse on the firing pattern transition in a bursting neuron , 2014, Commun. Nonlinear Sci. Numer. Simul..