Dynamics and bifurcations of the adaptive exponential integrate-and-fire model

Recently, several two-dimensional spiking neuron models have been introduced, with the aim of reproducing the diversity of electrophysiological features displayed by real neurons while keeping a simple model, for simulation and analysis purposes. Among these models, the adaptive integrate-and-fire model is physiologically relevant in that its parameters can be easily related to physiological quantities. The interaction of the differential equations with the reset results in a rich and complex dynamical structure. We relate the subthreshold features of the model to the dynamical properties of the differential system and the spike patterns to the properties of a Poincar

• Type: Journal
• Year: 2008
• Where: BC
• Authors: Jonathan Touboul, Romain Brette
• Keywords: Adaptive Integrate-and-fire Model, BC 2008, Complex Dynamical Structure, Two-dimensional Spiking Neuron