Previous simulation studies on human connectomes  suggested, that critical dynamics emerge subcrititcally in the so called Griffiths Phases. This is the consequence of the strong heterogeneity of the graphs. Now we investigate this on the largest available brain network, the $21.662$ node fruit-fly connectome, using the Kuramoto synchronizationmodel. As this graph is less heterogeneous, lacking modular structure and exhibit high topological dimension, we expect a difference from the previous results. Indeed, the synchronization transition is mean-field like, and the width of the transition region is larger than in random graphs, but much smaller than as for the KKI-18 human connectome. This demonstrates the effect of modular structure and dimension on the dynamics, providing a basis for better understanding the complex critical dynamics of humans .
I show some numerical results obtained by the Kuramoto-GPU code developed for ODE solution of synchronization phenomena.
 G. Odor and J. Kelling, Critical synchronization dynamics of the Kuramoto model on connectome and small world graphs, Scientic Reports 9 (2019) 19621.
 Geza Odor, Gustavo Deco and Jeffrey Kelling
Differences in the critical dynamics underlying the human and fruit-fly
connectome, Phys. Rev. Res. 4 (2021) 023057.