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arXiv · 0910.1970

Dissecting the Phase Response of a Model Bursting Neuron

William Erik Sherwood·John Guckenheimer
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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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William Erik Sherwood, John Guckenheimer. 2009-10-11. Dissecting the Phase Response of a Model Bursting Neuron. https://arxiv.org/abs/0910.1970

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