PERIODIC COUPLING STRENGTH-ENHANCED COHERENCE RESONANCE INDUCED BY A PARTICULAR KIND OF NON-GAUSSIAN NOISE IN NEURONAL NETWORKS

2012 ◽  
Vol 11 (04) ◽  
pp. 1250029
Author(s):  
YUBING GONG ◽  
LI WANG ◽  
BO XU
Keyword(s):  
Complex Networks ◽  
Coupling Strength ◽  
Gaussian Noise ◽  
Refractory Period ◽  
Neuronal Networks ◽  
Coherence Resonance ◽  
Non Gaussian ◽  
Time Periodic ◽  
Spiking Activity

In this Letter, we study the effect of time-periodic coupling strength (TPCS) on the coherence resonance (CR) of spiking behavior induced by a particular kind of non-Gaussian noise in Newman–Watts networks of Hodgkin–Huxley neurons. It is found that the CR by the non-Gaussian noise can be enhanced by TPCS when TPCS frequency is equal to or multiple of the inverse of the refractory period, and can occur in networks with more random shortcuts for TPCS than for constant coupling strength. Furthermore, the CR by the non-Gaussian noise can occur at smaller TPCS frequency when network randomness increases. These results show that the CR by the non-Gaussian noise can be enhanced by TPCS and can occur in more complex networks in case of TPCS. These findings may help to better understand the joint roles of the non-Gaussian noise and TPCS in the spiking activity of the neuronal networks.

EXTERNAL NON-GAUSSIAN NOISE-ENHANCED COLLECTIVE INTRINSIC SPIKING COHERENCE IN AN ARRAY OF STOCHASTIC HODGKIN–HUXLEY NEURONS

2011 ◽  
Vol 10 (04) ◽  
pp. 395-404 ◽  
Author(s):  
YUBING GONG ◽  
XIU LIN ◽  
LI WANG
Keyword(s):  
Gaussian Distribution ◽  
Gaussian Noise ◽  
Temporal Coherence ◽  
Channel Noise ◽  
Coherence Resonance ◽  
Neuron Number ◽  
Small Channel ◽  
Non Gaussian ◽  
Spiking Activity

In this Letter, we study the effect of the interaction of external non-Gaussian noise and channel noise on the temporal coherence of the collective intrinsic spiking of an array of bi-directionally coupled stochastic Hodgkin–Huxley (HH) neurons, mainly investigating how the non-Gaussian noise's deviation q from Gaussian distribution affects the spiking coherence and coherence resonance (CR) induced by channel noise and neuron number. It is found that the spiking coherence for small channel noise and the CR induced by channel noise or by neuron number change with the variation of q. As q is increased, the spiking with smaller channel noise becomes more ordered in time, and the CR by channel noise moves to bigger patch sizes. Furthermore, there is CR phenomenon when neuron number is varied, and the CR can occur in smaller channel noise when q is increased. These results show that appropriate external non-Gaussian noise can enhance and optimize the temporal coherence of the collective spiking of the coupled neurons when channel noise is sufficiently small, and can help the collective spiking with smaller channel noise reach the most ordered performance at an optimal neuron number. The mechanism underlying the phenomena is briefly discussed in terms of the property of the non-Gaussian noise. These findings could help to better understand the joint roles of external non-Gaussian noise and channel noise in the collective spiking activity of an array of coupled stochastic neurons.

Non-Gaussian noise optimized spiking activity of Hodgkin–Huxley neurons on random complex networks

2009 ◽  
Vol 144 (1-2) ◽  
pp. 88-93 ◽  
Author(s):  
Yubing Gong ◽  
Yinghang Hao ◽  
Yanhang Xie ◽  
Xiaoguang Ma ◽  
Chuanlu Yang
Keyword(s):  
Complex Networks ◽  
Gaussian Noise ◽  
Random Complex ◽  
Non Gaussian ◽  
Spiking Activity

ENHANCEMENT OF INTRINSIC SPIKING COHERENCE BY EXTERNAL NON-GAUSSIAN NOISE IN A STOCHASTIC HODGKIN–HUXLEY NEURON

2011 ◽  
Vol 10 (04) ◽  
pp. 359-369 ◽  
Author(s):  
LI WANG ◽  
YUBING GONG ◽  
XIU LIN
Keyword(s):  
Information Processing ◽  
Gaussian Distribution ◽  
Gaussian Noise ◽  
Correlation Time ◽  
Temporal Coherence ◽  
Channel Noise ◽  
Coherence Resonance ◽  
Non Gaussian ◽  
Proper Values ◽  
Membrane Patch

In this paper, we study the effect of external non-Gaussian noise on the temporal coherence of the intrinsic spiking induced by the channel noise in a stochastic Hodgkin–Huxley neuron. It is found that, for a sufficiently large membrane patch, the intrinsic spiking coherence can be enhanced by the proper values of non-Gaussian noise's strength, correlation time, or deviation from Gaussian distribution. And that the intrinsic spiking can exhibit coherence resonance when the noise's strength is optimal. This implies that the channel noise-induced intrinsic spiking may become more or the most ordered in time with the assistance of the external non-Gaussian noise. These results show that the external non-Gaussian noise can play a constructive role for improving the time precision of information processing in stochastic neurons.

NON-GAUSSIAN NOISE-INDUCED COHERENCE RESONANCE OF CALCIUM OSCILLATIONS IN BIDIRECTIONALLY COUPLED CELLS

2010 ◽  
Vol 20 (11) ◽  
pp. 3709-3715 ◽  
Author(s):  
YUBING GONG ◽  
XIU LIN ◽  
YINGHANG HAO ◽  
XIAOGUANG MA
Keyword(s):  
Gaussian Noise ◽  
Calcium Oscillations ◽  
Q Value ◽  
Coherence Resonance ◽  
Coupled Cells ◽  
Non Gaussian ◽  
Insight Into

We have studied the effect of a particular kind of non-Gaussian noise (NGN), mainly of its deviation q from Gaussian noise, on the intercellular calcium (Ca2+) oscillations in an array of bidirectionally coupled cells. It is found that as q is increased, the Ca2+ oscillation becomes the most regular at an intermediate optimal q value, representing the occurrence of coherence resonance (CR). This deviation-induced CR behavior shows that the intercellular Ca2+ oscillations of the coupled cells can be enhanced and even optimized by the appropriate NGN. This result provides a new insight into the constructive role of the NGN on the transmission of Ca2+ signaling in coupled cells.

NON-GAUSSIAN NOISE- AND COUPLING-INDUCED FIRING TRANSITIONS OF NEWMAN-WATTS NEURONAL NETWORKS

2011 ◽  
Vol 10 (01) ◽  
pp. 1-11 ◽  
Author(s):  
YUBING GONG ◽  
XIU LIN ◽  
YINGHANG HAO ◽  
XIAOGUANG MA
Keyword(s):  
Information Processing ◽  
Gaussian Noise ◽  
Neuronal Networks ◽  
Small World ◽  
Firing Activity ◽  
Chaotic Bursting ◽  
Non Gaussian

In this Letter, we study firing transitions induced by a particular kind of non-Gaussian noise (NGN) and coupling in Newman-Watts small-world neuronal networks. It is found that chaotic bursting can be tamed by the coupling and evolves to regular spiking or bursting behavior as the coupling increases. As the NGN's deviation from Gaussian noise changes, the neurons exhibit firing transitions from irregular spiking to regular bursting, and the number of spikes inside per burst varies with the change of the deviation. These results show that the NGN and the coupling play crucial roles in the firing activity of the neurons, and hence are of great importance to the information processing and transmission in the neuronal networks.

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