Firing patterns in the adaptive exponential integrate-and-fire model

Biological cybernetics
Richard NaudWulfram Gerstner

Abstract

For simulations of large spiking neuron networks, an accurate, simple and versatile single-neuron modeling framework is required. Here we explore the versatility of a simple two-equation model: the adaptive exponential integrate-and-fire neuron. We show that this model generates multiple firing patterns depending on the choice of parameter values, and present a phase diagram describing the transition from one firing type to another. We give an analytical criterion to distinguish between continuous adaption, initial bursting, regular bursting and two types of tonic spiking. Also, we report that the deterministic model is capable of producing irregular spiking when stimulated with constant current, indicating low-dimensional chaos. Lastly, the simple model is fitted to real experiments of cortical neurons under step current stimulation. The results provide support for the suitability of simple models such as the adaptive exponential integrate-and-fire neuron for large network simulations.

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Citations

Nov 18, 2008·Biological cybernetics·Jonathan Touboul, Romain Brette
Nov 6, 2008·Biological cybernetics·Renaud JolivetWalter Senn
Jan 15, 2011·Journal of Computational Neuroscience·Cyrille Zbinden
Aug 13, 2011·Journal of Computational Neuroscience·Stephan HenkerRené Schüffny
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Oct 1, 2013·Neural Networks : the Official Journal of the International Neural Network Society·James Bonaiuto, Michael A Arbib
Apr 16, 2011·Neural Computation·Jonathan Touboul
Sep 17, 2011·Neural Computation·Richard NaudWulfram Gerstner
Oct 15, 2011·PLoS Computational Biology·Robert B Levy, Alex D Reyes
Apr 19, 2012·PLoS Computational Biology·Josef LadenbauerKlaus Obermayer
Jan 21, 2014·Journal of Computational Neuroscience·Victor J BarrancaDavid Cai
Feb 3, 2016·Frontiers in Computational Neuroscience·Fariba SharifianSimo Vanni
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Jan 30, 2018·IEEE Transactions on Biomedical Circuits and Systems·Saber MoradiGiacomo Indiveri
Nov 1, 2013·Journal of Neurophysiology·Josef LadenbauerKlaus Obermayer

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Matlab
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