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Fast reciprocal inhibition can synchronize bursting neurons

Sajiya Jalil, Igor Belykh, and Andrey Shilnikov
Phys. Rev. E 81, 045201(R) – Published 23 April 2010

Abstract

We study a pair of endogenously bursting neurons with fast nondelayed inhibitory connections. We show that fast reciprocal inhibition, known to facilitate antiphase bursting, can stably synchronize bursting neurons. This contrasts with the classical view that reciprocal inhibition has to be slow or time delayed to establish in-phase synchronization. Through stability analysis, we reveal the emergent mechanism of in-phase synchronization and discuss its implications for various types of bursting neurons and networks.

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  • Received 10 July 2009

DOI:https://doi.org/10.1103/PhysRevE.81.045201

©2010 American Physical Society

Authors & Affiliations

Sajiya Jalil, Igor Belykh, and Andrey Shilnikov

  • Department of Mathematics and Statistics and Neuroscience Institute, Georgia State University, 30 Pryor Street, Atlanta, Georgia 30303, USA

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Issue

Vol. 81, Iss. 4 — April 2010

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