Origin of Hyperbolicity in Brain-to-Brain Coordination Networks
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Hyperbolicity or negative curvature of complex networks is the intrinsic geometric proximity of nodes in the graph metric space, which implies an improved network function. Here, we investigate hidden combinatorial geometries in brain-to-brain coordination networks arising through social communications. The networks originate from correlations among EEG signals previously recorded during spoken communications comprising of 14 individuals with 24 speaker-listener pairs. We find that the corresponding networks are delta-hyperbolic with delta(max) = 1 and the graph diameter D = 3 in each brain. While the emergent hyperbolicity in the two-brain networks varies satisfying delta(max)/D/2 LT = 1 and can be attributed to the topology of the subgraph formed around the cross-brains linking channels. We identify these subgraphs in each studied two-brain network and decompose their structure into simple geometric descriptors ( triangles, tetrahedra and cliques of higher orders) that contribute to ...hyperbolicity. Considering topologies that exceed two separate brain networks as a measure of coordination synergy between the brains, we identify different neural correlation patterns ranging from weak coordination to super-brain structure. These topology features are in qualitative agreement with the listeners self-reported ratings of own experience and quality of the speaker, suggesting that studies of the cross-brain connector networks can reveal new insight into the neural mechanisms underlying human social behavior.
Keywords:
brain-to-brain coordination networks / hyperbolicity of graphs / algebraic topology / social brain / multibrain networksSource:
Frontiers in Physics, 2018, 6Funding / projects:
- Fundamental processes and applications of particle transport in non-equilibrium plasmas, traps and nanostructures (RS-MESTD-Basic Research (BR or ON)-171037)
- Application of low temperature plasmas in biomedicine, environmental protection and nanotechnologies (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-41011)
- Advanced analytical, numerical and analysis methods of applied fluid mechanics and complex systems (RS-MESTD-Basic Research (BR or ON)-174014)
- Slovenian Research Agency [P1-0044]
DOI: 10.3389/fphy.2018.00007
ISSN: 2296-424X
WoS: 000424773400001
Scopus: 2-s2.0-85042315811
Institution/Community
VinčaTY - JOUR AU - Tadić, Bosiljka AU - Anđelković, Miroslav AU - Šuvakov, Milovan PY - 2018 UR - https://vinar.vin.bg.ac.rs/handle/123456789/1953 AB - Hyperbolicity or negative curvature of complex networks is the intrinsic geometric proximity of nodes in the graph metric space, which implies an improved network function. Here, we investigate hidden combinatorial geometries in brain-to-brain coordination networks arising through social communications. The networks originate from correlations among EEG signals previously recorded during spoken communications comprising of 14 individuals with 24 speaker-listener pairs. We find that the corresponding networks are delta-hyperbolic with delta(max) = 1 and the graph diameter D = 3 in each brain. While the emergent hyperbolicity in the two-brain networks varies satisfying delta(max)/D/2 LT = 1 and can be attributed to the topology of the subgraph formed around the cross-brains linking channels. We identify these subgraphs in each studied two-brain network and decompose their structure into simple geometric descriptors ( triangles, tetrahedra and cliques of higher orders) that contribute to hyperbolicity. Considering topologies that exceed two separate brain networks as a measure of coordination synergy between the brains, we identify different neural correlation patterns ranging from weak coordination to super-brain structure. These topology features are in qualitative agreement with the listeners self-reported ratings of own experience and quality of the speaker, suggesting that studies of the cross-brain connector networks can reveal new insight into the neural mechanisms underlying human social behavior. T2 - Frontiers in Physics T1 - Origin of Hyperbolicity in Brain-to-Brain Coordination Networks VL - 6 DO - 10.3389/fphy.2018.00007 ER -
@article{ author = "Tadić, Bosiljka and Anđelković, Miroslav and Šuvakov, Milovan", year = "2018", abstract = "Hyperbolicity or negative curvature of complex networks is the intrinsic geometric proximity of nodes in the graph metric space, which implies an improved network function. Here, we investigate hidden combinatorial geometries in brain-to-brain coordination networks arising through social communications. The networks originate from correlations among EEG signals previously recorded during spoken communications comprising of 14 individuals with 24 speaker-listener pairs. We find that the corresponding networks are delta-hyperbolic with delta(max) = 1 and the graph diameter D = 3 in each brain. While the emergent hyperbolicity in the two-brain networks varies satisfying delta(max)/D/2 LT = 1 and can be attributed to the topology of the subgraph formed around the cross-brains linking channels. We identify these subgraphs in each studied two-brain network and decompose their structure into simple geometric descriptors ( triangles, tetrahedra and cliques of higher orders) that contribute to hyperbolicity. Considering topologies that exceed two separate brain networks as a measure of coordination synergy between the brains, we identify different neural correlation patterns ranging from weak coordination to super-brain structure. These topology features are in qualitative agreement with the listeners self-reported ratings of own experience and quality of the speaker, suggesting that studies of the cross-brain connector networks can reveal new insight into the neural mechanisms underlying human social behavior.", journal = "Frontiers in Physics", title = "Origin of Hyperbolicity in Brain-to-Brain Coordination Networks", volume = "6", doi = "10.3389/fphy.2018.00007" }
Tadić, B., Anđelković, M.,& Šuvakov, M.. (2018). Origin of Hyperbolicity in Brain-to-Brain Coordination Networks. in Frontiers in Physics, 6. https://doi.org/10.3389/fphy.2018.00007
Tadić B, Anđelković M, Šuvakov M. Origin of Hyperbolicity in Brain-to-Brain Coordination Networks. in Frontiers in Physics. 2018;6. doi:10.3389/fphy.2018.00007 .
Tadić, Bosiljka, Anđelković, Miroslav, Šuvakov, Milovan, "Origin of Hyperbolicity in Brain-to-Brain Coordination Networks" in Frontiers in Physics, 6 (2018), https://doi.org/10.3389/fphy.2018.00007 . .
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