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arXiv · 1806.05279

Kuramoto model for excitation-inhibition-based oscillations

Ernest Montbrió·Diego Pazó
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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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BibTeXRIS

Ernest Montbrió, Diego Pazó. 2018-06-13. Kuramoto model for excitation-inhibition-based oscillations. https://doi.org/10.1103/physrevlett.120.244101

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