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˙...
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...
FitzHugh-Nagumo model | The FitzHugh–Nagumo model, named after Richard FitzHugh (1922 – 2007) who suggested the system in 1961 and J. Nagumo et al. who created the equivalent circuit the following year, describes a prototype of an excitable system (e.g., a neuron).Nagumo Model...
FitzHugh-nagumo模型1. In our numerical simulation, a modified Fitzhugh-Nagumo model, which was used to describe the excitable and/or oscillatory media under appropriate parameters, was investigated. 在数值模拟中,以一类改进的Fitzhugh-Nagumo模型为研究对象(在恰当参数值下可分别描述激发介质和振荡介质),...
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 ...
Global Bifurcations in FitzHugh-Nagumo Model The FitzHugh-Nagumo (F-N) system 1 modelling the electrical potential in the nodal system of the heart is shown to have a rich dynamics. The results are synthesized in the global bifurcation diagram providing an overall view of all possi... A Georg...
Lecture6TheFitzHugh-NagumoModel 系统标签: fitzhughnagumomodellecturenullclineexcitable Lecture6TheFitzHugh-NagumoModel6.1TheNatureofExcitableCellModelsClassically,itwasknownthatthecellmembranecarriesapotentialacrosstheinnerandoutersurfaces,henceabasicmodelforacellmembraneisthatofacapacitorandresistorinparallel.Themodelequa...
作者: William Erik Sherwood 摘要: 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... DOI: 10.1007/978-1-4614-7320-6_147-1 收藏...
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...
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