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.

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.

EFFECT OF NON-GAUSSIAN CHANNEL NOISE ON COHERENCE RESONANCE IN COUPLED STOCHASTIC HODGKIN–HUXLEY NEURONS

2012 ◽  
Vol 11 (02) ◽  
pp. 1250013 ◽  
Author(s):  
YUBING GONG ◽  
LI WANG ◽  
XIU LIN
Keyword(s):  
Information Processing ◽  
Ion Channel ◽  
Gaussian Distribution ◽  
Underlying Mechanism ◽  
Channel Noise ◽  
Gaussian Channel ◽  
Coherence Resonance ◽  
Patch Area ◽  
Neuron Number ◽  
Non Gaussian

In this paper, we study the effect of non-Gaussian channel noise (NCN) on the spiking coherence of a single and an array of bi-directionally coupled Hodgkin–Huxley neurons, mainly investigating how the non-Gaussian character of channel noise affects the coherence resonance (CR) induced by channel noise and by the number of neurons. It is found that, when NCN's deviation q from Gaussian distribution is increased, the CR moves to larger patch area (smaller channel noise) and smaller neuron number, which means that CR occurs in bigger ion channel clusters and smaller neuron number when q is increased. This result shows that, depending on the type of NCN, CR occurs in different sizes of ion channel clusters and numbers of neurons. The underlying mechanism is briefly discussed in terms of the property of NCN. These findings may help to better understand the roles of NCN for improving the time precision of the information processing in coupled stochastic neurons.

NON-GAUSSIAN NOISE-INDUCED FIRING TRANSITIONS AND ORDERED BURSTING IN A THERMO-SENSITIVE NEURON

2010 ◽  
Vol 09 (03) ◽  
pp. 289-299 ◽  
Author(s):  
YUBING GONG ◽  
XIU LIN ◽  
YINGHANG HAO ◽  
YANHANG XIE ◽  
XIAOGUANG MA
Keyword(s):  
Information Processing ◽  
Gaussian Noise ◽  
Correlation Time ◽  
Colored Noise ◽  
Firing Activity ◽  
Firing Behavior ◽  
Gaussian Colored Noise ◽  
Non Gaussian

In this letter, we investigate how a particular kind of non-Gaussian colored noise (NGN), especially the correlation time τ and the departure q from Gaussian noise, affects the chaotic firing behavior in a thermo-sensitive neuron. It is found that transitions between spiking and bursting occur with changing τ or q, and ordered bursting appears when τ is optimal. As τ is increased, the neuron alternately exhibits spiking and bursting when q < 1, but always bursts when q > 1, and chaotic bursts may become ordered at an optimal τ. As q is increased, the neuron also exhibits transitions between spiking and bursting. These findings provide a new mechanism for the firing transitions in the neuron and present the constructive role of the NGN in the firing activity in the neuron. This reveals that the NGN would play subtle roles in the communication and information processing in the neurons.

COHERENCE RESONANCE BY EITHER INTERNAL NOISE OR EXTERNAL NON-GAUSSIAN NOISE IN INTRACELLULAR CALCIUM OSCILLATIONS

2012 ◽  
Vol 11 (02) ◽  
pp. 1250008 ◽  
Author(s):  
YUBING GONG ◽  
BO XU ◽  
LI WANG
Keyword(s):  
Intracellular Calcium ◽  
Cell Volume ◽  
Gaussian Noise ◽  
Correlation Time ◽  
Internal Noise ◽  
External Noise ◽  
Calcium Oscillations ◽  
Noise Strength ◽  
Coherence Resonance ◽  
Non Gaussian

In this paper, we study the effects of both internal Gaussian noise and external non-Gaussian noise (NGN) on the temporal coherence of intracellular calcium oscillations. It is found that for a small cell volume internal noise can induce coherence resonance (CR) when external noise strength is small, and for a large cell volume external NGN can induce CR when noise strength, correlation time or the deviation from Gaussian distribution is varied. These results show that the calcium oscillation coherence can be optimized by either internal noise or external noise, depending on the cell volume. Furthermore, external NGN can optimize the oscillations in different ways by varying its noise strength, correlation time, or the deviation from Gaussian distribution. These findings imply that CR may appear frequently in the calcium oscillations when internal noise and external NGN coexist. This may help to entirely understand the constructive roles of internal noise and external NGN in the calcium oscillations.

Stochastic Kinetics for a FitzHugh–Nagumo Neural System with Time Delay Driven by Non-Gaussian Noise and a Multiplicative Periodic Signal

2019 ◽  
Vol 18 (04) ◽  
pp. 1950027 ◽  
Author(s):  
Kang-Kang Wang ◽  
De-Cai Zong ◽  
Hui Ye ◽  
Ya-Jun Wang
Keyword(s):  
Time Delay ◽  
Probability Density ◽  
Gaussian Noise ◽  
Correlation Time ◽  
Neural System ◽  
Noise Correlation ◽  
Stable States ◽  
The Stability ◽  
Non Gaussian ◽  
System With Time Delay

In the present paper, the stability and the phenomena of stochastic resonance (SR) for a FitzHugh–Nagumo (FHN) system with time delay driven by a multiplicative non-Gaussian noise and an additive Gaussian white noise are investigated. By using the fast descent method, unified colored noise approximation and the two-state theory for the SR, the expressions for the stationary probability density function (SPDF) and the signal-to-noise ratio (SNR) are obtained. The research results show that the two noise intensities and time delay can always decrease the probability density at the two stable states and impair the stability of the neural system; while the noise correlation time [Formula: see text] can increase the probability density around both stable states and consolidate the stability of the neural system. Furthermore, the other noise correlation time [Formula: see text] can increase the probability at the resting state, but reduce that around the excited state. With respect to the SNR, it is discovered that the two noise strengths can both weaken the SR effect, while time delay [Formula: see text] and the departure parameter [Formula: see text] will always amplify the SR phenomenon. Moreover, the noise correlation time [Formula: see text] can motivate the SR effect, but not alter the peak value of the SNR. What’s most interesting is that the other noise correlation time [Formula: see text] can not only stimulate the SR phenomenon, but also results in the occurrence of two resonant peaks, whose heights are simultaneously improved because of the action of [Formula: see text].

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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