Multiscale phase oscillations induced by cluster synchronisation in human connectome core network
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911049259679744 |
|---|---|
| author | Tadic, Bosiljka Dankulov, Marija Mitrovic Melnik, Roderick |
| author_facet | Tadic, Bosiljka Dankulov, Marija Mitrovic Melnik, Roderick |
| contents | Brain imaging data mapping onto human connectome networks enables the investigation of global brain dynamics, where the brain hubs play an essential role in transferring activity between different brain parts. At this scale, the synchronisation processes are increasingly investigated as one of the key mechanisms revealing many aspects of brain functional coherence in healthy brains and revealing deviations due to various brain disorders. For the human connectome core network, consisting of the eight brain hubs and the higher-order structure attached to them, previous simulations of Kuramoto phase oscillators at network nodes indicate instability of the global order parameter for a range of positive coupling strengths. In this work, we investigate the multiscale oscillations of the global phase order parameter and show that they are connected with the cluster synchronisation processes occurring in this range of couplings below the master stability threshold. We use the spectral graph analysis and eigenvector localisation methodology, where the clusters of nodes playing a similar role in the synchronisation processes have a small mutual distance in the eigenvector space. We determine three significant clusters of brain regions and show the position of hubs in them. With the parallel analysis of the weighted core network and its binary version, we demonstrate the primary role of the network's topology in the formation of synchronised clusters. Meanwhile, the wights of edges contribute to the hub's synchronisation with the surrounding cluster, stabilise the order parameter variations and reduce the multifractal spectrum. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_07583 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Multiscale phase oscillations induced by cluster synchronisation in human connectome core network Tadic, Bosiljka Dankulov, Marija Mitrovic Melnik, Roderick Pattern Formation and Solitons Quantitative Methods Brain imaging data mapping onto human connectome networks enables the investigation of global brain dynamics, where the brain hubs play an essential role in transferring activity between different brain parts. At this scale, the synchronisation processes are increasingly investigated as one of the key mechanisms revealing many aspects of brain functional coherence in healthy brains and revealing deviations due to various brain disorders. For the human connectome core network, consisting of the eight brain hubs and the higher-order structure attached to them, previous simulations of Kuramoto phase oscillators at network nodes indicate instability of the global order parameter for a range of positive coupling strengths. In this work, we investigate the multiscale oscillations of the global phase order parameter and show that they are connected with the cluster synchronisation processes occurring in this range of couplings below the master stability threshold. We use the spectral graph analysis and eigenvector localisation methodology, where the clusters of nodes playing a similar role in the synchronisation processes have a small mutual distance in the eigenvector space. We determine three significant clusters of brain regions and show the position of hubs in them. With the parallel analysis of the weighted core network and its binary version, we demonstrate the primary role of the network's topology in the formation of synchronised clusters. Meanwhile, the wights of edges contribute to the hub's synchronisation with the surrounding cluster, stabilise the order parameter variations and reduce the multifractal spectrum. |
| title | Multiscale phase oscillations induced by cluster synchronisation in human connectome core network |
| topic | Pattern Formation and Solitons Quantitative Methods |
| url | https://arxiv.org/abs/2507.07583 |