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 () and inhibitory () cells in large neuronal networks. Yet, although the -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 -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.
- Received 4 January 2018
- Revised 10 April 2018
DOI:https://doi.org/10.1103/PhysRevLett.120.244101
© 2018 American Physical Society