Paper Info
Title
Periodically Forced Piecewise-Linear Adaptive Exponential Integrate-And-Fire Neuron
Abstract
Although variability is a ubiquitous characteristic of the nervous system, under appropriate conditions neurons can generate precisely timed action potentials. Thus considerable attention has been given to the study of a neuron's output in relation to its stimulus. In this study, we consider an increasingly popular spiking neuron model, the adaptive exponential integrate-and-fire neuron. For analytical tractability, we consider its piecewise-linear variant in order to understand the responses of such neurons to periodic stimuli. There exist regions in parameter space in which the neuron is mode locked to the periodic stimulus, and instabilities of the mode locked states lead to an Arnol'd tongue structure in parameter space. We analyze mode locked solutions and examine the bifurcations that define the boundaries of the tongue structures. The theoretical analysis is in excellent agreement with numerical simulations, and this study can be used to further understand the functional features related to responses of such a model neuron to biologically realistic inputs.
Year
DOI
Venue
2013
10.1142/S021812741350171X
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
Keywords
DocType
Volume
Periodic stimuli, mode locked solutions, Arnol'd tongue, piecewise-linear adaptive exponential integrate-and-fire neuron
Journal
23
Issue
ISSN
Citations 
10
0218-1274
2
PageRank 
References 
Authors
0.39
11
2
Name
Order
Citations
PageRank
LieJune Shiau1304.91
Carlo R. Laing229541.21