Kuramoto model for excitation-inhibition-based oscillations

Montbrió, Ernest, 1974-; Pazó, Diego

doi:http://dx.doi.org/10.1103/PhysRevLett.120.244101

Kuramoto model for excitation-inhibition-based oscillations

Citació

Montbrió E, Pazó D. Kuramoto model for excitation-inhibition-based oscillations. Phys Rev Lett. 2018;120(24):244101. DOI: 10.1103/PhysRevLett.120.244101

Resum

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.