Generic two-variable model of excitability

被引：7

作者：

Ventura, A.C. ^{[1
]}

Mindlin, G.B. ^{[1
]}

Dawson, S. Ponce ^{[1
]}

机构：

[1] Departamento de Física, FCEN, UBA Ciudad Universitaria, Pabellón 1, 1428, Buenos Aires, Argentina

来源：

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | 2002年 / 65卷 / 04期

关键词：

Algorithms - Bifurcation (mathematics) - Diffusion - Ionic conduction - Perturbation techniques;

D O I：

10.1103/PhysRevE.65.046231

中图分类号：

学科分类号：

摘要：

We present a simple model that displays all classes of two-dimensional excitable regimes. One of the variables of the model displays the usual spikes observed in excitable systems. Since the model is written in terms of a standard vector field, it is always possible to fit it to experimental data displaying spikes in an algorithmic way. In fact, we use it to fit a series of membrane potential recordings obtained in the medicinal leech and time series generated with the FitzHugh-Nagumo equations and the excitability model of Egui´a et al. [Phys. Rev. E 58, 2636 (1998)]. In each case, we determine the excitability class of the corresponding system. © 2002 The American Physical Society.

引用

页码：1 / 046231