ArticleChaos (Woodbury, N.Y.)2016
Average activity of excitatory and inhibitory neural populations.
Article in Chaos (Woodbury, N.Y.), 2016. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 4 papers.
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Who cites it
4 citing papers in PubMed.
- Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks.PLoS computational biology · 2017Article
- Nonlinear dynamics in the study of birdsong.Chaos (Woodbury, N.Y.) · 2017Article
- From perception to action in songbird production: dynamics of a whole loop.Current opinion in systems biology · 2017Article
- The Effect of Gap Junctional Coupling on the Spatiotemporal Patterns of Ca2+ Signals and the Harmonization of Ca2+-Related Cellular Responses.PLoS computational biology · 2016Article
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2 authors.
Funding
Abstract
We develop an extension of the Ott-Antonsen method [E. Ott and T. M. Antonsen, Chaos 18(3), 037113 (2008)] that allows obtaining the mean activity (spiking rate) of a population of excitable units. By means of the Ott-Antonsen method, equations for the dynamics of the order parameters of coupled excitatory and inhibitory populations of excitable units are obtained, and their mean activities are computed. Two different excitable systems are studied: Adler units and theta neurons. The resulting bifurcation diagrams are compared with those obtained from studying the phenomenological Wilson-Cowan model in some regions of the parameter space. Compatible behaviors, as well as higher dimensional chaotic solutions, are observed. We study numerical simulations to further validate the equations.
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