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Synchronized Firing in Coupled Inhomogeneous excitable Neurons

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Communications in Theoretical Physics 2002年第10期38卷 415-420页

作者： ZHENG Zhi-Gang WANG Fu-Zhong Department of Physics Beijing Normal University Beijing 100875 China Department of Physics Jinzhou Teachers College Jinzhou 121003 Liaoning Province China Department of Physics Jinzhou Teachers College Jinzhou 121003 Liaoning Province China

We study the firing synchronization behavior of the inhomogeneous excitable media. Phase synchronizationof neuron firings is observed with increasing the coupling, while the phases of neurons are different (out-of-phase synchronization). We found the synchronization of bursts can be greatly enhanced by applying an external forcing (in-phasesynchronization). The external forcing can be either a periodic or just homogeneous thermal noise. The mechanismresponsible for this enhancement is *** numbers: 05.45.-a, 87.10.

关键词： excitable media, phase synchronization, FitzHugh-Nagumo model

Canard explosion and internal signal stochastic bi-resonance in the CO oxidation on platinum surface

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Science China Chemistry 2006年第2期49卷 133-139页

作者： ZHAO Gang HOU Zhonghuai XIN Houwen Department of Chemical Physics University of Science and Technology of China Hefei 230026 China Department of Chemical Physics University of Science and Technology of China Hefei 230026 China Department of Chemical Physics University of Science and Technology of China Hefei 230026 China

Canard explosion is a kind of complex temporal behavior and is ubiquitous in excitable systems. It is associated with an abrupt change of amplitude and period of an oscillatory trajectory in a very narrow interval of a control parameter. We have analyzed in the present paper the behavior of canard explosion that is near a supercritical Hopf bifurcation and its response to white noise in a temporal model of CO oxidation on platinum surface. We have found that the presence of canard explosion gives rise to internal signal stochastic bi-resonance, thus demonstrating a novel functional feature of noise: selective amplifying signals with different periods.

关键词： internal signal stochastic bi-resonance, canard explosion, CO oxidation on platinum surface, excitable system, nullcline.

Effects of Inhibitory Signal on Criticality in Excitatory-Inhibitory Networks

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Communications in Theoretical Physics 2019年第6期71卷 746-752页

作者： Fan Wang Sheng-Jun Wang Physics and Information Technology Shaanxi Normal University

We study the criticality in excitatory-inhibitory networks consisting of excitable elements. We investigate the effects of the inhibitory strength using both numerical simulations and theoretical analysis. We show that the inhibitory strength cannot affect the critical point. The dynamic range is decreased as the inhibitory strength *** simulate of decreasing the efficacy of excitation and inhibition which was studied in experiments, we remove excitatory or inhibitory nodes, delete excitatory or inhibitory links, and weaken excitatory or inhibitory coupling strength in critical excitatory-inhibitory network. Decreasing the excitation, the change of the dynamic range is most dramatic as the same as previous experimental results. However, decreasing inhibition has no effect on the criticality in excitatory-inhibitory network.

关键词： criticality excitable network dynamic range

Target Pattern Waves in Specific Reaction-Diffusion Equation

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Communications in Theoretical Physics 2002年第8期38卷 243-246页

作者： ZHOU Tian-Shou TANG Yun Department of Mathematical Sciences Tsinghua University Beijing 100084 China Department of Mathematical Sciences Tsinghua University Beijing 100084 China

This paper uses two-timing to solve a class of reaction-diffusion equations of Oregonator and constructsformally stable target pattern solutions to leading term in small parameter, which can be used to account for someobserved experimental facts. In addition, it also gives the explicit expression of the period corresponding to the targetwaves.

关键词： excitable media, target wave, perturbation method, Oregonator

The Tight Coupling and Non-Linear Relationship between the Macroscopic Electrical and Optical Concomitants of Electrochemical CNS Waves Reflect the Non-Linear Dynamics of Neural Glial Propagation

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Open Journal of Biophysics 2015年第1期5卷 1-20页

作者： Vera Maura Fernandes de Lima José Roberto Castilho Piqueira Wolfgang Hanke CCO Medical School Universidade Federal de Sao Joao Del Rei Sao Joao Del Rei Brazil LIM-26 Faculty of Medicine USP Sao Paulo Brazil Laboratory of Automation and Control Escola Politecnica USP Sao Paulo Brazil Membrane Physiology Division Physiology Institute 230 Hohenheim University Stuttgart Germany

In isolated chick retina, the visualization of electrochemical self-organized patterns is possible due to the presence of macroscopic intrinsic optical signals (IOSs). Isolated circular waves, standing patterns, and self-sustained sequences of spirals are all easily obtained using an IOS approach. In this paper we present the tight coupling and non-linear relationship between optical and electrical wave concomitants, and potassium-induced whole tissue excitability changes. Elementary statistical methods and time series analyses were applied to two sets of data: 1) solitary circular retinal spreading depression waves, and 2) tissue response to exogenous potassium fast pulses. The results were interpreted from the point of view of non-linear thermodynamical concepts and volume phase transitions in polyanionic gels according to the Tasaki action potential model. From these and previous results, it is clear that the glial network and extracellular matrix contribute to the propagation and emergence of these patterns.

关键词： Glial Network Extracellular Matrix KCl Spreading Depression excitable Media

A SOLITARY SOLUTION AND ITS STABILITY IN A 1-D FHN EQUATION

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Journal of Shanghai Jiaotong university(Science) 1996年第2期1卷 17-20,24页

作者： Gu Shengshi(Dept. of Applied Mathematics, Shanghai Jiaotong University)A. V. Holden Zhang Henggui(Dept. of Physiology & Centre for Non-linear Studies, Leeds University, Leeds, LS2 9JT,England)

The analytic solutions in a 1-D FitzHugh-Nagumo model are offered,and a function of wave speed cwith parameters ε,γ,β and D1 has been derived. In the parameter space (ε,β),the conditions for the assumed periodic ... 详细信息

关键词： solitary wave excitable media nonlinear wave process 1-D FitzHugh-Nagumo equations

The noise-induced spatiotemporal patterns in Hodgkin-Huxley neural network

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The noise-induced spatiotemporal patterns in Hodgkin-Huxley ...