Kuramoto Model for Excitation-Inhibition-Based Oscillations

Ernest Montbrió and Diego Pazó
Phys. Rev. Lett. 120, 244101 – Published 13 June 2018
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Abstract

The Kuramoto model (KM) is a theoretical paradigm for investigating the emergence of rhythmic activity in large populations of oscillators. A remarkable example of rhythmogenesis is the feedback loop between excitatory (E) and inhibitory (I) cells in large neuronal networks. Yet, although the EI-feedback mechanism plays a central role in the generation of brain oscillations, it remains unexplored whether the KM has enough biological realism to describe it. Here we derive a two-population KM that fully accounts for the onset of EI-based neuronal rhythms and that, as the original KM, is analytically solvable to a large extent. Our results provide a powerful theoretical tool for the analysis of large-scale neuronal oscillations.

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  • Received 4 January 2018
  • Revised 10 April 2018

DOI:https://doi.org/10.1103/PhysRevLett.120.244101

© 2018 American Physical Society

Physics Subject Headings (PhySH)

Interdisciplinary PhysicsNonlinear DynamicsPhysics of Living Systems

Authors & Affiliations

Ernest Montbrió1 and Diego Pazó2

  • 1Center for Brain and Cognition. Department of Information and Communication Technologies, Universitat Pompeu Fabra, 08018 Barcelona, Spain
  • 2Instituto de Física de Cantabria (IFCA), CSIC-Universidad de Cantabria, 39005 Santander, Spain

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Issue

Vol. 120, Iss. 24 — 15 June 2018

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