3.1 FitzHugh–Nagumo model The two dimensional FitzHugh–Nagumo model describes the process of activation and deactivation dynamics of a spiking neuron. The mathematical form of the individual system is described by the following set of ordinary differential equations: (1)ϵ0u˙=u−u33−v,v˙...
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...
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:bWaVWIWVVVext 33(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extI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 为正常数。在FH-N模型中,如果...
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 ...
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...
Lecture6TheFitzHugh-NagumoModel 系统标签: fitzhughnagumomodellecturenullclineexcitable Lecture6TheFitzHugh-NagumoModel6.1TheNatureofExcitableCellModelsClassically,itwasknownthatthecellmembranecarriesapotentialacrosstheinnerandoutersurfaces,henceabasicmodelforacellmembraneisthatofacapacitorandresistorinparallel.Themodelequa...
1 3 9 0 4 8 12 1 20 Prediction st ep Norm alized ISI F ig .3 Th e multi-mode spiking from det erministic FHN model stimulated by pu lse current . (A) Spike train s, the low subthreshold pulse is cau sed by the external p eriodic pulse stimulus an d noise. (B) ISI ...
model stimulated by pulsecurrent A Spike trains the low subthreshold pulse is caused by the external periodic pulse stimulus and noise B ISI histogram the peaks are different to Fig 2 B They do not decrease exponentially C ISI return map D The NPE of ISI series versus the prediction step E...
neuronalmodel[J].Nonlinear 全局稳定 的. Analysis:Theory,Methods&|Applications,2011,74 证明 由条件 (i),(ii)保证 的常负性.显 (18):7532—7542. 然 ,集合 uVe0(这里 一O)不包含系统(18)的整 [1O]SlavovaA,ZeccaP.Complexbehaviorofpolynomial 条轨线. Fitzhugh—Nagumocellularneuralnetworkmodel[J]....
A mechanistic model of the Fitzhugh–Nagumo type is proposed for the pulse-like jasmonate response in plants. The model is composed of a bistable signaling pathway coupled to a negative feedback loop. The bistable signaling pathway describes a recently discovered positive feedback loop involving jasm...