DOI: 10.1162/089976604322860668. On the Phase Reduction and Response Dynamics of Neural Oscillator Populations

On the Phase Reduction and Response Dynamics of Neural Oscillator Populations

10.1162/089976604322860668

Crossref journal-article

MIT Press - Journals

Neural Computation (281)

Abstract

We undertake a probabilistic analysis of the response of repetitively firing neural populations to simple pulselike stimuli. Recalling and extending results from the literature, we compute phase response curves (PRCs) valid near bifurcations to periodic firing for Hindmarsh-Rose, Hodgkin-Huxley, Fitz Hugh-Nagumo, and Morris-Lecar models, encompassing the four generic (codimension one) bifurcations. Phase density equations are then used to analyze the role of the bifurcation, and the resulting PRC, in responses to stimuli. In particular, we explore the interplay among stimulus duration, baseline firing frequency, and population-level response patterns. We interpret the results in terms of the signal processing measure of gain and discuss further applications and experimentally testable predictions.

Bibliography

Brown, E., Moehlis, J., & Holmes, P. (2004). On the Phase Reduction and Response Dynamics of Neural Oscillator Populations. Neural Computation, 16(4), 673â715.

Authors 3

Eric Brown (first)
Jeff Moehlis (additional)
Philip Holmes (additional)

References 42 Referenced 439

Dates

Type	When
Created	21 years, 6 months ago (March 1, 2004, 8:28 p.m.)
Deposited	4 years, 5 months ago (March 12, 2021, 4:50 p.m.)
Indexed	4 days, 21 hours ago (Aug. 30, 2025, 12:44 p.m.)
Issued	21 years, 5 months ago (April 1, 2004)
Published	21 years, 5 months ago (April 1, 2004)
Published Print	21 years, 5 months ago (April 1, 2004)

Funders 0

None

BibTeX

@article{Brown_2004, title={On the Phase Reduction and Response Dynamics of Neural Oscillator Populations}, volume={16}, ISSN={1530-888X}, url={http://dx.doi.org/10.1162/089976604322860668}, DOI={10.1162/089976604322860668}, number={4}, journal={Neural Computation}, publisher={MIT Press - Journals}, author={Brown, Eric and Moehlis, Jeff and Holmes, Philip}, year={2004}, month=apr, pages={673–715} }

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