Generic two-variable model of excitability

ALEJANDRA C VENTURA; BERNARDO G MINDLIN; SILVINA PONCE DAWSON

PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS

American Physical Society

Año: 2002 vol. 65 p. 1 - 7

1063-651X

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 Eguıía et al. Phys. Rev. E 58, 2636 1998. In each case, we determine the excitability class of the corresponding system.