Impact of time-periodic coupling strength on the firing regularity of a scale-free network

In this paper, the effects of time-periodic coupling on the firing regularity of a scale-free network (SF), consisting of stochastic Hodgkin-Huxley neurons, have been investigated depending on ion channel noise. The effects of both the frequency and the amplitude of periodic coupling on the firing regularity have been tackled, separately. It is seen from the obtained results that the firing (spiking) regularity shows resonance like behavior depending on ion channel noise when the frequency of the periodic coupling equals integer multiple of the sub threshold oscillation frequency of H-H neurons. Additionally, it is determined that this resonance is maximal at an optimal value of the amplitude of the periodic coupling strength.

[1]  I. Goychuk,et al.  Stochastic resonance as a collective property of ion channel assemblies , 2001, physics/0106036.

[2]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990 .

[3]  R. Fox Stochastic versions of the Hodgkin-Huxley equations. , 1997, Biophysical Journal.

[4]  Bo Xu,et al.  Multiple coherence resonances by time-periodic coupling strength in scale-free networks of bursting neurons , 2012 .

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

[6]  M. Ozer,et al.  Stochastic resonance on Newman–Watts networks of Hodgkin–Huxley neurons with local periodic driving , 2009 .

[7]  Albert,et al.  Emergence of scaling in random networks , 1999, Science.

[8]  J. R. Hughes,et al.  Post-tetanic potentiation. , 1958, Physiological reviews.

[9]  Louis J. DeFelice,et al.  Limitations of the Hodgkin-Huxley Formalism: Effects of Single Channel Kinetics on Transmembrane Voltage Dynamics , 1993, Neural Computation.

[10]  Peter Hänggi,et al.  STOCHASTIC RESONANCE AND OPTIMAL CLUSTERING FOR ASSEMBLIES OF ION CHANNELS , 2004, The Random and Fluctuating World.

[11]  J. White,et al.  Channel noise in neurons , 2000, Trends in Neurosciences.

[12]  Peter Hänggi,et al.  Stochastic resonance in biology. How noise can enhance detection of weak signals and help improve biological information processing. , 2002, Chemphyschem : a European journal of chemical physics and physical chemistry.

[13]  J. Kurths,et al.  Array-enhanced coherence resonance: nontrivial effects of heterogeneity and spatial independence of noise. , 2001, Physical review letters.

[14]  K. Krischer,et al.  Resonance tongues in a system of globally coupled FitzHugh-Nagumo oscillators with time-periodic coupling strength. , 2010, Chaos.

[15]  Hu,et al.  Phase synchronization in coupled nonidentical excitable systems and array-enhanced coherence resonance , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[16]  POST-TETANIC POTENTIATION IN MASSETER MOTONEURON , 1972 .

[17]  D. Chik,et al.  Coherence resonance and noise-induced synchronization in globally coupled Hodgkin-Huxley neurons. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[18]  H Lecar,et al.  Theory of threshold fluctuations in nerves. II. Analysis of various sources of membrane noise. , 1971, Biophysical journal.

[19]  F. Liu,et al.  Resonance-enhanced signal detection and transduction in the Hodgkin-Huxley neuronal systems. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[20]  Zhonghuai Hou,et al.  Double-system-size resonance for spiking activity of coupled Hodgkin-Huxley neurons. , 2004, Chemphyschem : a European journal of chemical physics and physical chemistry.

[21]  Fox,et al.  Emergent collective behavior in large numbers of globally coupled independently stochastic ion channels. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[22]  J. Kurths,et al.  Array-Enhanced Coherence Resonance , 2001 .

[23]  Yubing Gong,et al.  Coherence resonance and bi-resonance by time-periodic coupling strength in Hodgkin-Huxley neuron networks , 2012, Science China Chemistry.

[24]  Yubing Gong,et al.  Multiple coherence resonance induced by time-periodic coupling in stochastic Hodgkin-Huxley neuronal networks. , 2011, Chaos.

[25]  G. Cecchi,et al.  Scale-free brain functional networks. , 2003, Physical review letters.

[26]  Mahmut Ozer,et al.  Collective firing regularity of a scale-free Hodgkin–Huxley neuronal network in response to a subthreshold signal , 2013 .

[27]  Cornelis J. Stam,et al.  Small-world and scale-free organization of voxel-based resting-state functional connectivity in the human brain , 2008, NeuroImage.

[28]  Yan Liu,et al.  Enhancement and sustainment of internal stochastic resonance in unidirectional coupled neural system. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  Idan Segev,et al.  Ion Channel Stochasticity May Be Critical in Determining the Reliability and Precision of Spike Timing , 1998, Neural Computation.