Colored non-Gaussian noise induced resonant activation

Majee, Pradip; Goswami, Gurupada; Bag, Bidhan Chandra

doi:10.1016/j.cplett.2005.09.105

Cited by 44 publications

(11 citation statements)

References 32 publications

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“…The gating variables m, h, and n describe the mean ratios of the open gates of the working channels, and the factors n 4 and m 3 h are the mean portions of the open ion channels within the membrane patch. The noise term η(t) is assumed to have a non-Gaussian distribution [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] with the Gaussian colored noise with correlation time τ, and is an Ornstein-Uhlenbeck process with correlation function given by…”

Section: Model and Equationsmentioning

confidence: 99%

“…However, some experimental results for one kind of crayfish [24] and rat skin [25] have offered strong indications that the noise source in these sensory systems could be non-Gaussian. In the last decade, a particular kind of non-Gaussian colored noise (NGN) has been widely studied in various nonlinear dynamical systems [26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41] , especially including the so-called genetic model that follows from a particular biological modeling [33] . The non-Gaussianity of the NGN is characterized simply by a parameter q that measures the departure from Gaussian noise (q = 1).…”

Section: Introductionmentioning

confidence: 99%

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Enhancement of spike coherence by the departure from Gaussian noise in a Hodgkin-Huxley neuron

Xie

Gong

Hao

2009

Sci. China Ser. B-Chem.

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Experimental study has shown that non-Gaussian noise exists in sensory systems like neurons. The departure from Gaussian behavior is a characteristic parameter of non-Gaussian noise. In this paper, we have numerically studied the effect of a particular kind of non-Gaussian colored noise (NGN), especially its departure q from Gaussian noise (q = 1), on the spiking activity in a deterministic HodgkinHuxley (HH) neuron driven by sub-threshold periodic stimulus. Simulation results show that the departure q can affect the spiking activity induced by noise intensity D. For smaller q values, the minimum in the variation coefficient (CV) as a function of noise intensity (D) becomes smaller, showing that D-induced stochastic resonance (SR) becomes strengthened. Meanwhile, depending on the value of D, q can either enhance or reduce the spiking regularity. Interestingly, CV changes non-monotonously with varying q and passes through a minimum at an intermediate q, representing the presence of "departure-induced SR". This result shows that appropriate departures of the NGN can enhance the spike coherence in the HH neuron. Since the departure of the NGN determines the probability distribution and hence may denote the type of the noise, "departure-induced SR" shows that different types of noise can enhance the spike coherence, and hence may improve the timing precision of sub-threshold signal encoding in the HH neuron.neuron, non-Gaussian colored noise, spike coherence, stochastic resonance, stochastic dynamics

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Section: Model and Equationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Enhancement of spike coherence by the departure from Gaussian noise in a Hodgkin-Huxley neuron

Xie

Gong

Hao

2009

Sci. China Ser. B-Chem.

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“…These facts allow the application of non-Gaussian noise to chemical reaction systems. Over the last two decades, much attention has been paid to the nature and the effect of a particular kind of non-Gaussian colored noise (NGN) on the kinetics of various nonlinear dynamical systems [30][31][32][33][34][35][36][37][38]. Very recently, the NGN-induced spiking CR and synchronization in Hodgkin-Huxley (HH) neurons [39][40][41] and CR of stochastic rate oscillations in NO reduction with CO on small-size Pt(100) surfaces have been found [42].…”

Section: Introductionmentioning

confidence: 98%

Non-Gaussian noise-enhanced stochastic rate oscillations in CO oxidation on nanometer-sized Pd particles

2010

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The effect of non-Gaussian colored noise (NGN), mainly its departure q from the Gaussian noise, on the optimal ISRO of CO oxidation on nanometer-sized Pd particles was studied. It was found that the ISRO in the absence of external noise can still be enhanced when the NGN is applied. Specifically, the ISRO varies with changing q and becomes more regular at an appropriate q value, and when q is optimal, the ISRO becomes the most regular. Because the departure q from the Gaussian noise determines the probability distribution function and hence may denote the types of noise, this result shows that different types of external noise can enhance the ISRO of CO oxidation, and non-Gaussian noise may enhance the ISRO more greatly than the Gaussian noise. Therefore, non-Gaussian noise could play more effective roles in the catalytic process of CO oxidation on nanometer-sized Pd particles.non-Gaussian colored noise, catalytic CO oxidation on nanometer Pd particles, intrinsic stochastic rate oscillation, coherence resonance

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“…Noise of biological origin due to nonlinear dynamics may be correlated and non-Gaussian. In the past decade, much attention has been paid to the effect of NGN on the kinetics of general nonlinear dynamical systems [9][10][11][12][13][14][15][16][17][18]. However, there are few such studies of biological and chemical systems.…”

Section: Introductionmentioning

confidence: 99%

Multiple enhancements of rate oscillations by non-Gaussian noise in NO reduction with CO on Pt(100)

2010

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The effect of the non-Gaussian colored noise (NGN) on the dynamics of nonlinear systems has attracted increasing attention. This work numerically studied the effect of a particular kind of the NGN, mainly in terms of its departure from Gaussian noise, on the rate oscillations (RO) in the catalytic reduction of NO with CO on Pt(100) surfaces. It was found that power spectrum density changes non-monotonically and the signal-to-noise ratio shows several peaks with increasing departure, demonstrating the presence of "departure-induced multiple resonance". Since the departure of the NGN determines the probability distribution and hence denotes the type of the noise, the phenomenon of "departure-induced multiple resonance" not only gives multiple enhancements of the RO by virtue of the departure of the NGN, but also implies that, besides Gaussian noise, various other types of noise may enhance the RO in the surface catalytic reaction systems.non-Gaussian colored noise, catalytic reduction of NO with CO on Pt(100), reaction rate oscillation, coherence resonance

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Colored non-Gaussian noise induced resonant activation

Cited by 44 publications

References 32 publications

Enhancement of spike coherence by the departure from Gaussian noise in a Hodgkin-Huxley neuron

Enhancement of spike coherence by the departure from Gaussian noise in a Hodgkin-Huxley neuron

Non-Gaussian noise-enhanced stochastic rate oscillations in CO oxidation on nanometer-sized Pd particles

Multiple enhancements of rate oscillations by non-Gaussian noise in NO reduction with CO on Pt(100)

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