The FitzHugh–Nagumo (FHN) model is a mathematical model of neuronal excitability developed by Richard FitzHugh as a reduction of the Hodgkin and Huxley's model of action potential generation in the...Sherwood, William ErikUniversity of Utah...
FitzHugh-Nagumo模型 1FitzHugh-Nagumo 模型 摘要：FitzHugh-Nagumo （FH-N）模型是以Richard Fitzhugh （1922-2007）和J.Nagumo 等人命名。Richard Fitzhugh 在1961年提出该系统的，J.Nagumo 在第二年创造了等效电路。该模型是对Hodgkin-Huxley（H-H）模型进行了全面简化。到目前为止，许多的研究者对FH-N 模型的...
FitzHugh_Nagumo_ModelThe FitzHugh-Nagumo Model Thismodelcaptures much of the non-linear behavior of spike generation. It does this in a simplified, "ad-hoc," 2-dimensional setting, allowing phase-plane analysis. (In contrast, the Hodgkin-Huxley model, being much closer to the biological ...
FitzHugh-Nagumo模型 摘要:FitzHugh-Nagumo(FH-N)模型是以RichardFitzhugh(1922-2007)和J.Nagumo等人命名。 RichardFitzhugh在1961年提出该系统的,J.Nagumo在第二年创造了等效电路。该模型是对 Hodgkin-Huxley(H-H)模型进行了全面简化。到目前为止,许多的研究者对FH-N模型的数学 性质进行了深入的研究与讨论。本文就...
The Fitzhugh-Nagumo model is often used as a generic model for excitable media because it is analytically tractable. It as a simple model to generate traveling waves by the addition of a diffusion term: a second derivative in spatial coordinates. The chapter also introduces the most practical ...
FitzHugh-NagumoModel NervousSystem Signalsarepropagatedfromnervecelltonervecell(neuron)viaelectro-chemicalmechanisms ~100billionneuronsinaperson HodgkinandHuxleyexperimentedonsquidsanddiscoveredhowthesignalisproducedwithintheneuron H.-H.modelwaspublishedinJour.ofPhysiology(1952) ...
FitzHugh Nagumo 模型的两种多峰分布放电节律 上述研究初步表明自治多峰混沌节律 自治整 数倍节律在表观上有明显差异 由于真实神经元总 是受传入信号作用 神经元对激励做出不同响应的 动力学机理更具有生物学意义 目前对由外激励诱 发的随机整数倍节律和混沌多峰节律间的区别与联 系还不明确 也不清楚这些节律在...
For two particular choices of the three parameters in the FitzHugh-Nagumo model the equilibrium points are found. The corresponding phase portrait around them is graphically represented allowing us to delimit an absorbing domain. Then the Jolly-Rosa-Temam numerical method is applied in order to ...
关键词:Fitzhugh-Nagumo方程;Galcrkin方法;Gronwall不等式 数理医药学杂志000106 摘要:讨论了Fitzhugh-Nagumo方程的周期初值问题,用Galerkin方法证明了整体解的存在唯一性。 中图分类号:O 241.81 文章编号:1004-4337(2000)01-0013-02▲ 1 引言 近年来人们对描述神经脉冲传导的Fitzhugh-Nagumo方程 ...
This application-oriented monograph presents a comprehensive theoretical and numerical investigation of all types of oscillators and bifurcations (such as Hopf, Bogdanov-Takens, Bautin, and homoclinic) generated by the FitzHugh-Nagumo model. The wide diversity of the oscillators as used in electrophysiolo...