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Dissecting the Phase Response of a Model Bursting Neuron

Authors
  • Sherwood, William Erik
  • Guckenheimer, John
Type
Preprint
Publication Date
Oct 11, 2009
Submission Date
Oct 11, 2009
Identifiers
arXiv ID: 0910.1970
Source
arXiv
License
Yellow
External links

Abstract

We investigate the phase response properties of the Hindmarsh-Rose model of neuronal bursting using burst phase response curves (BPRCs) computed with an infinitesimal perturbation approximation and by direct simulation of synaptic input. The resulting BPRCs have a significantly more complicated structure than the usual Type I and Type II PRCs of spiking neuronal models, and they exhibit highly timing-sensitive changes in the number of spikes per burst that lead to large magnitude phase responses. We use fast-slow dissection and isochron calculations to analyze the phase response dynamics in both weak and strong perturbation regimes.

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