FitzHugh–Nagumo model - Wikipedia, the free encyclopediaSchiff, Steven
本文主要分为两个部分对FH-N 模型展开说明。第一部分主要介绍FH-N 模型的数学模型方程。第二部分主要介绍FH-N 模型的相关数学性质。例如：FH-N 系统的相位图分析、分岔分析、混沌行为和振荡。二、FitzHugh-Nagumo 数学模型方程（Mathematical Model Equation ）FH-N 模型具体的简化后的系统方程如下：bW a V W I...
The 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 mechanism, operates in 4 ...
二、FitzHugh-Nagumo数学模型方程(MathematicalModelEquation) FH-N模型具体的简化后的系统方程如下: bWaVW IW V VV ext 3 3 (1) 2 其中,变量V代表神经元的膜电位,它是一个快变量,参数 ext I为外部施加电流,W为“恢 复”变量,它是一个慢变量,代表钠通道失活和钾通道失活的综合效应。这里a、b和 为 正常...
The Hodgkin-Huxley Model:霍奇金-赫胥黎模型 热度: Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional FitzHugh-Nagumo monodomain model 热度: Derivation of an Improved Hodgkin-Huxley Model for Potassium Channel by Means of the Fokker-Planck Equation 热度: 相关推荐 ...
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 ...
Mean response time of FitzHugh-Nagumo model in the presence of non-Gaussian noise and a periodic signal非高斯噪声激励下含周期信号FitzHugh-Nagumo系统的响应特征 The dynamics of the FitzHugh-Nagumo (FHN) model in the presence of non-Gaussian noise and a periodic signal is analyzed in this paper....
P. van Heijster, C.-N. Chen, Y. Nishiura, T. Teramoto, "Pinned solutions in a het- erogeneous three-component FitzHugh-Nagumo model", J. Dyn. Diff. Eq., online only (2018)van Heijster, P. and Sandstede, B., Planar radial spots in a three-component Fitzhugh- Nagumo system, J...
Based on the stability of the model, the generation of self-excited firing patterns is justified. Making use of the famous Helmholtz theorem, a Hamilton function is provided for the estimation of the energy released during each electrical activity of the model. From the investigation of the 1D ...
Examples of such models are the Fitzhugh-Nagumo (FHN) model, the Hindmarsh-Rose (HR) model, the Morris-Lecar (ML) model and the Izhikevich model. In this work, we first prescribe the biologically relevant parameter ranges for the FHN model and subsequently study the dynamical behaviour of ...