Comparison of the synchronization transition of the Kuramoto model on fruit-fly versus a large human connectome*

The Kuramoto equation has been solved numerically on the 21.662 node fruit-fly [1] and the 804.113 node human connectomes. While the fly neural connectome resembles to a structureless random graph, the KKI-18 grey matter human connectome exhibits a hierarchical modular organization [2]. The synchronization transition of the fly is mean-field like, with a weak hysteresis, but a narrow Griffiths phase cannot be excluded [3]

In contrast, the transition on the KKI-18 is very broad and a frustrated synchronziation phase, with nonuniversal power-laws can be observed, sub-critically [4].

[1] L. K Scheffer et al, A connectome and analysis of the adult Drosophila central brain,

    eLife 2020;9:e57443 doi: 10.7554/eLife.57443

[2] M. T. Gastner and G. Odor, The topology of large Open Connectome

    networks for the human brain, Scientific Reports 6 (2016) 27249.

[3] G. Odor, J. Kelling, G. Deco, work in progress.

[4] G. Odor and J. Kelling, Critical synchronization dynamics of the

    Kuramoto model on connectome and small world graphs, Scientic Reports 9 (2019) 19621.