Comparison of the synchronization transition of the Kuramoto model on fruit-fly versus a large human connectome
ORAL
Abstract
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.
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.
*National Research, Development and Innovation Office NKFIH, under Grant No. K128989,Project HPC-EUROPA3 (INFRAIA-2016-1-730897) from the EC Research Innovation Action under the H2020 Programme.
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Publication: M. T. Gastner and G. Ódor, The topology of large Open Connectome networks for the human brain
Scientific Reports 6 (2016) 27249.
G. Odor and J. Kelling, Critical synchronization dynamics of the Kuramoto model on connectome and small world graphs. Scientic Reports 9 (2019).
Geza Odor, M. T. Gastner, J. Kelling, G. Deco,
Modelling on the very large-scale connectome, J. Phys. Complex. 2 (2021) 045002.
Presenters
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Geza Odor
- Institute of Technical Physics and Mater