Abstract
This paper extended the concept of motif by maximum cliques defined as “hyperedges” in brain networks, as novel and flexible characteristic network building blocks. Based on the definition of hyperedge, a naïve brain hypergraph model was constructed from a graph model of large-scale brain functional networks during rest. Nine intrinsic hub hyperedges of functional connectivity were identified, which could be considered as the most important intrinsic information processing blocks (or units), and they also covered many components of the core brain intrinsic networks. Furthermore, these overlapped hub hyperedges were assembled into a compound structure as a core subsystem of the intrinsic brain organization.
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References
Sporns, O., Chialvo, D.R., Kaiser, M., Hilgetag, C.C.: Organization, development and function of complex brain networks. Trends in Cognitive Sciences 8, 418–425 (2004)
Bassett, D.S., Bullmore, E.D.: Small-world brain networks. Neuroscientist 12, 512–523 (2006)
Bressler, S.L., Menon, V.: Large-scale brain networks in cognition: emerging methods and principles. Trends in Cognitive Sciences 14, 277–290 (2010)
Menon, V.: Large-scale brain networks and psychopathology: a unifying triple network model. Trends in Cognitive Sciences 15, 483–506 (2011)
Watts, D.J., Strogatz, S.H.: Collective dynamics of ”small-world” networks. Nature 393, 440–442 (1998)
Latora, V., Marchiori, M.: Efficient behaviour of small-world networks. Phys. Rev. Lett. 87, 198701 (2001)
Latora, V., Marchiori, M.: Economic small-world behaviour in weighted networks. Euro. Phys. JB. 32, 249–263 (2003)
Eguíluz, V.M., Chialvo, D.R., Cecchi, G.A., Baliki, M., Apkarian, A.V.: Scale-free brain functional networks. Phys. Rev. Lett. 94, 018102 (2005)
Salvador, R., Suckling, J., Coleman, M.R., Pickard, J.D., Menon, D., Bullmore, E.D.: Neurophysiological architecture of functional magnetic resonance images of human brain. Cereb. Cortex 15, 1332–1342 (2005a)
Achard, S., Salvador, R., Whitcher, B., Suckling, J., Bullmore, E.D.: A resilient, low-frequency, small-world human brain functional network with highly connected association cortical hubs. J. Neurosci. 26, 63–72 (2006)
Van den Heuvel, M.P., Stam, C.J., Boersma, M., Hulshoff Pol, H.E.: Small-world and scale-free organization of voxel-based resting-state functional connectivity in the human brain. Neuroimage 43, 528–539 (2008)
Hagmann, P., Kurant, M., Gigandet, X., Thiran, P., Wedeen, V.J., Meuli, R., Thiran, J.P.: Mapping the structural core of human cerebral cortex. PLoS ONE 2, e597 (2007)
He, Y., Chen, Z.J., Evans, A.C.: Small-world anatomical networks in the human brain revealed by cortical thickness from MRI. Cereb. Cortex 17, 2407–2419 (2007)
Iturria-Medina, Y., Sotero, R.C., Canales-Rodriguez, E.J., Aleman-Gomez, Y., Melie-Garcia, L.: Studying the human brain ananatomical network via diffusion-weighted MRI and graph theory. NeuroImage 40, 1064–1076 (2008)
Sporns, O., Honey, C.J., Kötter, R.: Identification and classification of hubs in brain networks. PLoS Biology 2, e1049 (2004)
He, Y., Wang, J., Wang, L., Chen, Z.J., Yan, C., Yang, H., Tang, H., Zhu, C., Gong, Q., Zang, Y., Evans, A.C.: Uncovering intrinsic modular organization of spontaneous brain activity in humans. PLoS ONE 4, e5226 (2009)
Sporns, O., Kötter, R.: Motifs in brain networks. PLoS Biology 2, e369 (2004)
Costa, L.F., Rodrigues, F.A.: Superedges: connecting structure and dynamics in complex networks. arXiv:0801.4068v2 (2008)
De Vico Fallani, F., Rodrigues, F.A., Costa, L.F., Astolfi, L., Cincotti, F., Mattia, D., Salinari, S., Babiloni, F.: Multiple pathways analysis of brain functional networks from EEG signals: an application to real data. Brain Topogr. 23, 344–354 (2011)
Shirer, W.R., Ryali, S., Rykhlevskaia, E., Menon, V., Greicius, M.D.: Decoding subject-driven cognitive states with whole-brain connectivity patterns. Cere. Cortex (2011), doi: 10.1093/cercor/bhr099
Fox, M.D., Snyder, A.Z., Vincent, J.L., Corbetta, M., Van Essen, D.C., Raichle, M.E.: The human brain is intrinsically organized into dynamic, anticorrelated functional networks. Proc. Natl. Acad. Sci. U.S.A. 102, 9673–9678 (2005)
Jenkins, G.M., Watts, D.G.: Spectral Analysis and Its Applications. Holden-Day, San Francisco (1968)
Bonacich, P.: Techinique for analyzing overlapping memberships. Sociological Methodology 4, 176–185 (1972)
Bonacich, P., Holdren, A.C., Johnston, M.: Hyper-edges and multidimensional centrality. Social Networks 26, 189–203 (2004)
Perron, O.: Zur Theorie der Matrices. Mathematische Annalen 64, 248–263 (1907)
Frobenius, G.: Üeber Matrizen aus nicht negativen Elementen. Sitzungsber. Königl. Preuss. Akad. Wiss (Berlin), 456–477 (1912)
Shulman, G.L., Fiez, J.A., Corbetta, M., Buckner, R.L., Miezin, F.M., Raichle, M.E., Petersen, S.E.: Common blood flow changes across visual tasks: II. decreases in cerebral cortex. J. Cognit. Neurosci. 9, 648–663 (1997)
Raichle, M.E., Macleod, A.M., Snyder, A.Z., Powers, W.J., Gusnard, D.A., Shulman, G.L.: A default mode of brain function. Proc. Natl. Acad. Sci. U.S.A. 98, 676–682 (2001)
Cole, M.W., Pathak, S., Schneider, W.: Identifying the brain’s most globally connected regions. NeuroImage 49, 3132–3148 (2010)
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Wang, Z. et al. (2012). A Naïve Hypergraph Model of Brain Networks. In: Zanzotto, F.M., Tsumoto, S., Taatgen, N., Yao, Y. (eds) Brain Informatics. BI 2012. Lecture Notes in Computer Science(), vol 7670. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35139-6_12
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DOI: https://doi.org/10.1007/978-3-642-35139-6_12
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