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Double coherence resonance of the FitzHugh Nagumo neuron driven by harmonic velocity noise

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Chinese Physics B 2014年第8期23卷 297-301页

作者：宋艳丽 School of Science Tianjin University

The effect of noise frequency on the FitzHugh-Nagumo neuron is investigated by the use of the harmonic velocity noise, which has a direct frequency parameter and no zero frequency part of the power spectrum. It is shown that the neuron has the resonance characteristic strongly responding to the noise with a certain frequency at fixed power, and there is double coherence resonance related to the frequency and the intensity. If the harmonic velocity noise lacks low frequency ingredients, there is no synchronization between the frequency of the neuron and that of the noise. Thus the low frequency part of the noise plays an important role in creating the synchronization.

关键词： coherence resonance FitzHugh-Nagumo neuron harmonic noise frequency effect

coherence resonance and synchronization of Hindmarsh-Rose neurons with noise

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Chinese Physics B 2005年第6期14卷 1088-1094页

作者：石霞陆启韶 SchoolofScience BeijingUniversityofAeronauticsandAstronauticsBeijing100083China

Noise effects on coherence resonance and synchronization of Hindmarsh-Rose (HR) neuron model are studied. The coherence resonance of a single HR neuron with Gaussian white noise added to the membrane potential is investigated in situations before, near and after the Hopf bifurcation, separately, with the external direct current as a bifurcation parameter. It is shown that even though there is no coupling between neurons, uncoupled identical HR neurons driven by a common noise can achieve complete synchronization when the noise intensity is higher than a critical value. Furthermore, noise also enhances complete synchronization of weakly coupled neurons. It is concluded that synchronization in bursting neurons is easier to be induced than in spiking ones, and coupling enhances the sensitivity of synchronization of neurons to noise stimulus.

关键词： coherence resonance synchronization Hindmarsh-Rose neuron Gaussian white noise

coherence resonance in a noise-driven gene network regulated by small RNA

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Theoretical & Applied Mechanics Letters 2014年第1期4卷 58-62页

作者： Yanan Zhu Jianwei Shen Yong Xu Departments of Applied Mathematics Northwestern Polytechnical University Institute of Applied Mathematics Xuchang University

Small RNA has recently drawn more and more attention. In this paper, we concentrate on the influence of noises on gene network regulated by small RNA using chemical Langevin equation. It shows that the noise can cause oscillation when the oscillate does not occur in the corresponding deterministic system. The coherence of the noise induced oscillation reaches a maximum for an optimal intensity of noise, and the coherence resonance appears accordingly. The findings imply probably omnipresent importance of noise in the functioning process of living organism.

关键词： small RNA additive noise coherence resonance

Dynamics and coherence resonance in a thermosensitive neuron driven by photocurrent

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Chinese Physics B 2020年第9期29卷 597-608页

作者：徐莹刘明华朱志刚马军 Department of Physics Lanzhou University of TechnologyLanzhou 730050China Department of Physics Central China Normal UniversityWuhan 430079China Electrical Engineering College Northwest Minzu UniversityLanzhou 730124China School of Science Chongqing University of Posts and TelecommunicationsChongqing 430065China

A feasible neuron model can be effective to estimate the mode transition in neural activities in a complex electromagnetic *** neurons are exposed to electromagnetic field,the continuous magnetization and polarization can generate nonlinear effect on the exchange and propagation of ions in the cell,and then the firing patterns can be regulated *** conductivity of ion channels can be affected by the temperature and the channel current is adjusted for regulating the excitability of *** this paper,a phototube and a thermistor are used to the functions of neural *** phototube is used to capture external illumination for energy injection,and a continuous signal source is *** thermistor is used to percept the changes of temperature,and the channel current is changed to adjust the excitability of *** functional neural circuit can encode the external heat(temperature)and illumination excitation,and the dynamics of neural activities is investigated in *** photocurrent generated in the phototube can be used as a signal source for the neural circuit,and the thermistor is used to estimate the conduction dependence on the temperature for neurons under heat *** analysis and Hamilton energy are calculated to explore the mode *** is found that complete dynamical properties of biological neurons can be reproduced in spiking,bursting,and chaotic firing when the phototube is activated as voltage *** functional neural circuit mainly presents spiking states when the photocurrent is handled as a stable current *** white noise is imposed to detect the occurrence of coherence *** neural circuit can provide possible guidance for investigating dynamics of neural networks and potential application in designing sensitive sensors.

关键词： thermosensitive neuron thermistor phototube bifurcation coherence resonance

Erratum to "coherence resonance in globally coupled neuronal networks with different neuron numbers"

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Chinese Physics B 2013年第1期22卷 563-563页

作者：宁维莲张争珍曾上游罗晓曙胡锦霖曾绍稳邱怡吴慧思 College of Electronic Engineering Guangxi Normal University

The expression of Eq. (1) in page 028702-2 of Ref. [1] is inaccurate. This correct formula should be CmdVi/dt = gNam3ihi(Vi-VNa)

关键词： coherence resonance ion channel noise neuronal network

Stochastic resonance in Neural Systems with Small-World Connections

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Chinese Physics Letters 2007年第3期24卷 835-838页

作者：袁五届罗晓曙杨仁桓 College of Physics and Electronic Engineering Guangxi Normal University Guilin 541004 Department of Physics Huaibei Coal Industry Teachers' College Huaibei 235000

We study the stochastic resonance （SR） in Hodgkin-Huxley （HH） neural systems with small-world （SW） connections under the noise synaptic current and periodic stimulus, focusing on the dependence of properties of SR on coupling strength c. It is found that there exists a critical coupling strength c^＊ such that if c 〈 c^＊, then the SR can appear on the SW neural network. Especially, dependence of the critical coupling strength c^＊ on the number of neurons N shows the monotonic even almost linear increase of c^＊ as N increases and c^＊ on the SW network is smaller than that on the random network. For the effect of the SW network on the phenomenon of SR, we show that decreasing the connection-rewiring probability p of the network topology leads to an enhancement of SR. This indicates that the SR on the SW network is more prominent than that on the random network （p = 1.0）. In addition, it is noted that the effect becomes remarkable as coupling strength increases. Moreover, it is found that the SR weakens but resonance range becomes wider with the increase of c on the SW neural network.

关键词： coherence resonance FIRE NEURON LEAKY INTEGRATE NETWORKS MODELS NOISE SYNCHRONIZATION ENSEMBLE DYNAMICS SIGNALS

Best Spatiotemporal Performance Sustained by Optimal Number of Random Shortcuts on Complex Networks

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Chinese Physics Letters 2006年第10期23卷 2666-2669页

作者：汪茂胜侯中怀辛厚文 Department of Chemical Physics University of Science and Technology of China Hefei 230026 College of Physics and Electronic Information Anhui Normal University Wuhu 241000

The spatial synchronization and temporal coherence of FitzHugh-Nagumo （FHN） neurons on complex networks are numerically investigated. When an optimal number of random shortcuts are added to a regular neural chain, the system can reach a state which is nearly periodic in time and almost synchronized in space. More shortcuts do not increase the spatial synchronization too much, but will obviously destroy the temporal regularity.

关键词： WORLD-WIDE-WEB PHASE SYNCHRONIZATION coherence resonance EXCITABLE SYSTEMS

Amplified Signal Response by Neuronal Diversity on Complex Networks

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Chinese Physics Letters 2008年第5期25卷 1591-1594页

作者：申传胜陈含爽张季谦 1Department of Educational Technology Anqing Teachers College Anqing 246011 College of Physics and Electronic Information Anhui Normal University Wuhu 241000

The effect of diversity on dynamics of coupled FitzHugh-Nagumo neurons on complex networks is numerically investigated, where each neuron is subjected to an external subthreshold signal. With the diversity the network is a mixture of excitable and oscillatory neurons, and the diversity is determined by the variance of the system＇s parameter. The complex network is constructed by randomly adding long-range connections （shortcuts） on a nearest-neighbouring coupled one-dimensional chain. Numerical results show that external signals are maximally magnified at an intermediate value of the diversity, as in the case of well-known stochastic resonance, burthermore, the effects of the number of shortcuts and coupled strength on the diversity-induced phenomena are also discussed. These findings exhibit that the diversity may play a constructive role in response to external signal, and highlight the importance of the diversity on such complex networks.

关键词： SMALL-WORLD NETWORKS STOCHASTIC resonance coherence resonance NEURAL-NETWORKS SYNCHRONIZATION SYSTEMS INFORMATION MECHANISM DISORDER NOISE

Coupling Effect of Ion Channel Clusters on Calcium Signalling

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Chinese Physics Letters 2008年第3期25卷 1149-1152页

作者：唐军贾亚易鸣马军余光 Department of Physics and Institute of Biophysics Huazhong Normal University Wuhan 430079 College of Science China University of Mining and technology Xuzhou 221008

Based on a modified intracellular Ca^2＋ model involving diffusive coupling of two calcium ion channel dusters, the effects of coupling on calcium signalling are numerically investigated. The simulation results indicate that the diffusive coupling of dusters together with internal noise determine the calcium dynamics of single duster, and for either homogeneous or heterogeneous coupled dusters, the synchronization of dusters, which is important to calcium signalling, is enhanced by the coupling effect.

关键词： CA2+ RELEASE coherence resonance OSCILLATIONS EVENTS MODELS SYSTEM WAVES