Complex network measures of brain connectivity: Uses and interpretations

Achard, 2007, Efficiency and cost of economical brain functional networks, PLoS Comput. Biol., 3, e17, 10.1371/journal.pcbi.0030017 Achard, 2006, A resilient, low-frequency, small-world human brain functional network with highly connected association cortical hubs, J. Neurosci., 26, 63, 10.1523/JNEUROSCI.3874-05.2006 Alstott, 2009, Modeling the impact of lesions in the human brain, PLoS Comput. Biol., 5, e1000408, 10.1371/journal.pcbi.1000408 Barabasi, 1999, Emergence of scaling in random networks, Science, 286, 509, 10.1126/science.286.5439.509 Barrat, 2004, The architecture of complex weighted networks, Proc. Natl. Acad. Sci. U. S. A., 101, 3747, 10.1073/pnas.0400087101 Bassett, 2006, Small-world brain networks, Neuroscientist, 12, 512, 10.1177/1073858406293182 Bassett, 2009, Human brain networks in health and disease, Curr. Opin. Neurol., 22, 340, 10.1097/WCO.0b013e32832d93dd Bassett, 2006, Adaptive reconfiguration of fractal small-world human brain functional networks, Proc. Natl. Acad. Sci. U. S. A., 103, 19518, 10.1073/pnas.0606005103 Bassett, 2008, Hierarchical organization of human cortical networks in health and schizophrenia, J. Neurosci., 28, 9239, 10.1523/JNEUROSCI.1929-08.2008 Batagelj, 2003, Pajek — analysis and visualization of large networks, 77 Blondel, 2008, Fast unfolding of communities in large networks, J. Stat. Mech., 2008, P10008, 10.1088/1742-5468/2008/10/P10008 Boccaletti, 2006, Complex networks: Structure and dynamics, Phys. Rep., 424, 175, 10.1016/j.physrep.2005.10.009 Brandes, 2001, A faster algorithm for betweenness centrality, J. Math. Sociol., 25, 163, 10.1080/0022250X.2001.9990249 Bullmore, 2009, Complex brain networks: graph theoretical analysis of structural and functional systems, Nat. Rev., Neurosci., 10, 186, 10.1038/nrn2575 Butts, 2009, Revisiting the foundations of network analysis, Science, 325, 414, 10.1126/science.1171022 Costa, 2007, Predicting the connectivity of primate cortical networks from topological and spatial node properties, BMC Syst. Biol., 1, 16, 10.1186/1752-0509-1-16 Costa, 2007, Characterization of complex networks: a survey of measurements, Adv. Phys., 56, 167, 10.1080/00018730601170527 Damoiseaux, J.S., Greicius, M.D., 2009. Greater than the sum of its parts: A review of studies combining structural connectivity and resting-state functional connectivity. Brain Struct Funct. 213, 525–533 (Epub 2009 Jun 30). Danon, 2005, Comparing community structure identification, J. Stat. Mech., 2005, P09008, 10.1088/1742-5468/2005/09/P09008 Deuker, 2009, Reproducibility of graph metrics of human brain functional networks, NeuroImage, 47, 1460, 10.1016/j.neuroimage.2009.05.035 Estrada, 2008, Communicability in complex networks, Phys. Rev., E Stat. Nonlinear Soft Matter Phys., 77, 036111, 10.1103/PhysRevE.77.036111 Fagiolo, 2007, Clustering in complex directed networks, Phys. Rev., E Stat. Nonlinear Soft Matter Phys., 76, 026107, 10.1103/PhysRevE.76.026107 Freeman, 1978, Centrality in social networks: conceptual clarification, Soc. Netw., 1, 215, 10.1016/0378-8733(78)90021-7 Friston, 1994, Functional and effective connectivity in neuroimaging: a synthesis, Hum. Brain Mapp., 2, 56, 10.1002/hbm.460020107 Friston, 2003, Dynamic causal modelling, NeuroImage, 19, 1273, 10.1016/S1053-8119(03)00202-7 Girvan, 2002, Community structure in social and biological networks, Proc. Natl. Acad. Sci. U. S. A., 99, 7821, 10.1073/pnas.122653799 Gleich, D., 2008. Matlabbgl (version 4.0). Guimera, 2005, Cartography of complex networks: modules and universal roles, J. Stat. Mech., 2005, P02001, 10.1088/1742-5468/2005/02/P02001 Hagberg, 2008, Exploring network structure, dynamics, and function using networkx, 11 Hagmann, 2008, Mapping the structural core of human cerebral cortex, PLoS Biol., 6, e159, 10.1371/journal.pbio.0060159 He, 2007, Small-world anatomical networks in the human brain revealed by cortical thickness from MRI, Cereb. Cortex, 17, 2407, 10.1093/cercor/bhl149 Honey, 2007, Network structure of cerebral cortex shapes functional connectivity on multiple time scales, Proc. Natl. Acad. Sci. U. S. A., 104, 10240, 10.1073/pnas.0701519104 Honey, 2009, Predicting human resting-state functional connectivity from structural connectivity, Proc. Natl. Acad. Sci. U. S. A., 106, 2035, 10.1073/pnas.0811168106 Horwitz, 2003, The elusive concept of brain connectivity, NeuroImage, 19, 466, 10.1016/S1053-8119(03)00112-5 Humphries, 2008, Network ‘small-world-ness’: a quantitative method for determining canonical network equivalence, PLoS ONE, 3, e0002051, 10.1371/journal.pone.0002051 Ioannides, 2007, Dynamic functional connectivity, Curr. Opin. Neurobiol., 17, 161, 10.1016/j.conb.2007.03.008 Kintali, S., 2008. Betweenness centrality: algorithms and lower bounds. arXiv, 0809.1906v0802. Latora, 2001, Efficient behavior of small-world networks, Phys. Rev. Lett., 87, 198701, 10.1103/PhysRevLett.87.198701 Leicht, 2008, Community structure in directed networks, Phys. Rev. Lett., 100, 118703, 10.1103/PhysRevLett.100.118703 Leistedt, 2009, Altered sleep brain functional connectivity in acutely depressed patients, Hum. Brain Mapp., 30, 2207, 10.1002/hbm.20662 Leung, 2007, Weighted assortative and disassortative networks model, Physica, A, 378, 591, 10.1016/j.physa.2006.12.022 Maslov, 2002, Specificity and stability in topology of protein networks, Science, 296, 910, 10.1126/science.1065103 Milo, 2002, Network motifs: simple building blocks of complex networks, Science, 298, 824, 10.1126/science.298.5594.824 Newman, 2002, Assortative mixing in networks, Phys. Rev. Lett., 89, 2087011, 10.1103/PhysRevLett.89.208701 Newman, 2003, The structure and function of complex networks, SIAM Rev., 45, 167, 10.1137/S003614450342480 Newman, 2004, Analysis of weighted networks, Phys. Rev., E Stat. Nonlinear Soft Matter Phys., 70, 056131, 10.1103/PhysRevE.70.056131 Newman, 2004, Fast algorithm for detecting community structure in networks, Phys. Rev., E, 69, 066133, 10.1103/PhysRevE.69.066133 Newman, 2006, Modularity and community structure in networks, Proc. Natl. Acad. Sci. U. S. A., 103, 8577, 10.1073/pnas.0601602103 NWB-Team, 2006. Network workbench tool. Indiana university, Northeastern University, and University of Michigan. Onnela, 2005, Intensity and coherence of motifs in weighted complex networks, Phys. Rev., E Stat. Nonlinear Soft Matter Phys., 71, 065103, 10.1103/PhysRevE.71.065103 Palla, 2005, Uncovering the overlapping community structure of complex networks in nature and society, Nature, 435, 814, 10.1038/nature03607 Pastor-Satorras, 2001, Dynamical and correlation properties of the internet, Phys. Rev. Lett., 87, 258701, 10.1103/PhysRevLett.87.258701 Piraveenan, 2008, Local assortativeness in scale-free networks, Europhys. Lett., 84, 28002, 10.1209/0295-5075/84/28002 Ponten, 2009, Indications for network regularization during absence seizures: weighted and unweighted graph theoretical analyses, Exp. Neurol., 217, 197, 10.1016/j.expneurol.2009.02.001 Saramaki, 2007, Generalizations of the clustering coefficient to weighted complex networks, Phys. Rev., E Stat. Nonlinear Soft Matter Phys., 75, 027105, 10.1103/PhysRevE.75.027105 Sharan, 2006, Modeling cellular machinery through biological network comparison, Nat. Biotechnol., 24, 427, 10.1038/nbt1196 Sporns, 2004, Motifs in brain networks, PLoS Biol., 2, e369, 10.1371/journal.pbio.0020369 Sporns, 2004, The small world of the cerebral cortex, Neuroinformatics, 2, 145, 10.1385/NI:2:2:145 Sporns, 2006, Small worlds inside big brains, Proc. Natl. Acad. Sci. U. S. A., 103, 19219, 10.1073/pnas.0609523103 Sporns, 2005, The human connectome: a structural description of the human brain, PLoS Comput. Biol., 1, e42, 10.1371/journal.pcbi.0010042 Stam, 2007, Graph theoretical analysis of complex networks in the brain, Nonlinear Biomed. Phys., 1, 3, 10.1186/1753-4631-1-3 Stam, 2007, Small-world networks and functional connectivity in Alzheimer's disease, Cereb. Cortex, 17, 92, 10.1093/cercor/bhj127 Stam, 2009, Graph theoretical analysis of magnetoencephalographic functional connectivity in Alzheimer's disease, Brain, 132, 213, 10.1093/brain/awn262 Strogatz, 2001, Exploring complex networks, Nature, 410, 268, 10.1038/35065725 Tononi, 1994, A measure for brain complexity: relating functional segregation and integration in the nervous system, Proc. Natl. Acad. Sci. U. S. A., 91, 5033, 10.1073/pnas.91.11.5033 Wang, 2009, Parcellation-dependent small-world brain functional networks: a resting-state fMRI study, Hum. Brain Mapp., 30, 1511, 10.1002/hbm.20623 Wang, 2009, Altered small-world brain functional networks in children with attention-deficit/hyperactivity disorder, Hum. Brain Mapp., 30, 638, 10.1002/hbm.20530 Watts, 1998, Collective dynamics of ‘small-world’ networks, Nature, 393, 440, 10.1038/30918 Zhou, 2006, Hierarchical organization unveiled by functional connectivity in complex brain networks, Phys. Rev. Lett., 97, 238103, 10.1103/PhysRevLett.97.238103 Zhou, D., Thompson, W.K., Siegle, G., 2009. Matlab toolbox for functional connectivity. Neuroimage. 2009 Oct 1;47(4):1590-1607. Epub 2009 Jun 8