메뉴 건너뛰기




Volumn 31, Issue 12, 2012, Pages 2267-2277

Persistent brain network homology from the perspective of dendrogram

Author keywords

Barcode; functional brain network; Gromov Hausdorff distance; persistent homology; rips complex; rips filtration; single linkage dendrogram

Indexed keywords

BRAIN NETWORKS; DENDROGRAMS; GROMOV-HAUSDORFF DISTANCE; PERSISTENT HOMOLOGY; RIPS COMPLEX;

EID: 84870481558     PISSN: 02780062     EISSN: None     Source Type: Journal    
DOI: 10.1109/TMI.2012.2219590     Document Type: Article
Times cited : (226)

References (66)
  • 1
    • 30744439313 scopus 로고    scopus 로고
    • A resilient, low-frequency, small-world human brain functional network with highly connected association cortical hubs
    • DOI 10.1523/JNEUROSCI.3874-05.2006
    • S. Achard, R. Salvador, B. Whitcher, J. Suckling, and E. Bullmore, "A resilient, low-frequency, small-world human brain functional network with highly connected association cortical hubs, " J. Neurosci., vol. 26, pp. 63-72, 2006. (Pubitemid 43090914)
    • (2006) Journal of Neuroscience , vol.26 , Issue.1 , pp. 63-72
    • Achard, S.1    Salvador, R.2    Whitcher, B.3    Suckling, J.4    Bullmore, E.5
  • 2
    • 33750466904 scopus 로고    scopus 로고
    • Small-world brain networks
    • DOI 10.1177/1073858406293182
    • D. S. Bassett, "Small-world brain networks, " Neuroscientist, vol. 12, pp. 512-523, 2006. (Pubitemid 44657966)
    • (2006) Neuroscientist , vol.12 , Issue.6 , pp. 512-523
    • Bassett, D.S.1    Bullmore, E.2
  • 3
    • 58149184695 scopus 로고    scopus 로고
    • Revealing modular architecture of human brain structural networks by using cortical thickness from MRI
    • Z. J. Chen, Y. He, P. Rosa-Neto, J. Germann, and A. C. Evans, "Revealing modular architecture of human brain structural networks by using cortical thickness from MRI, " Cereb. Cortex, vol. 18, pp. 2374-2381, 2008.
    • (2008) Cereb. Cortex , vol.18 , pp. 2374-2381
    • Chen, Z.J.1    He, Y.2    Rosa-Neto, P.3    Germann, J.4    Evans, A.C.5
  • 5
    • 34548837501 scopus 로고    scopus 로고
    • Small-world anatomical networks in the human brain revealed by cortical thickness from MRI
    • DOI 10.1093/cercor/bhl149
    • Y. He, Z. Chen, and A. Evans, "Small-world anatomical networks in the human brain revealed by cortical thickness from MRI, " Cereb. Cortex, vol. 170, pp. 2407-2419, 2007. (Pubitemid 47517476)
    • (2007) Cerebral Cortex , vol.17 , Issue.10 , pp. 2407-2419
    • He, Y.1    Chen, Z.J.2    Evans, A.C.3
  • 6
    • 57649177558 scopus 로고    scopus 로고
    • Age-related changes in modular organization of human brain functional networks
    • D. Meunier, S. Achard, A. Morcom, and E. Bullmore, "Age-related changes in modular organization of human brain functional networks, " NeuroImage, vol. 44, pp. 715-723, 2009.
    • (2009) NeuroImage , vol.44 , pp. 715-723
    • Meunier, D.1    Achard, S.2    Morcom, A.3    Bullmore, E.4
  • 7
    • 4444229670 scopus 로고    scopus 로고
    • The small world of the cerebral cortex
    • DOI 10.1385/NI:2:2:145
    • O. Sporns and J. D. Zwi, "The small world of the cerebral cortex, " Neuroinformatics, vol. 2, pp. 145-162, 2004. (Pubitemid 41214095)
    • (2004) Neuroinformatics , vol.2 , Issue.2 , pp. 145-162
    • Sporns, O.1    Zwi, J.D.2
  • 8
    • 0347914619 scopus 로고    scopus 로고
    • Functional connectivity patterns of human magnetoencephalographic recordings: A 'small-world' network?
    • DOI 10.1016/j.neulet.2003.10.063
    • C. J. Stam, "Functional connectivity patterns of human magnetoen-cephalographic recordings: A small-world network?, " Neurosci. Lett., vol. 355, pp. 25-28, 2004. (Pubitemid 38077176)
    • (2004) Neuroscience Letters , vol.355 , Issue.1-2 , pp. 25-28
    • Stam, C.J.1
  • 9
    • 54149095921 scopus 로고    scopus 로고
    • Small-world and scale-free organization of voxel-based resting-state functional connectivity in the human brain
    • M. P. Van den Heuvel, C. J. Stam, M. Boersma, and H. E. Hulshoff Pol, "Small-world and scale-free organization of voxel-based resting-state functional connectivity in the human brain, " NeuroImage, vol. 43, pp. 528-539, 2008.
    • (2008) NeuroImage , vol.43 , pp. 528-539
    • Van Den Heuvel, M.P.1    Stam, C.J.2    Boersma, M.3    Hulshoff Pol, H.E.4
  • 10
    • 33845353054 scopus 로고    scopus 로고
    • Hierarchical organization unveiled by functional connectivity in complex brain networks
    • C. Zhou, L. Zemanová, G. Zamora, C. C. Hilgetag, and J. Kurths, "Hierarchical organization unveiled by functional connectivity in complex brain networks, " Phys. Rev. Lett., vol. 97, p. 238103, 2006.
    • (2006) Phys. Rev. Lett. , vol.97 , pp. 238103
    • Zhou, C.1    Zemanová, L.2    Zamora, G.3    Hilgetag, C.C.4    Kurths, J.5
  • 11
    • 31144436747 scopus 로고    scopus 로고
    • The human connectome: A struc tural description of the human brain
    • O. Sporns, G. Tononi, and R. Kotter, "The human connectome: A struc tural description of the human brain, " PLoS Comput. Biol., vol. 1, p. e42, 2005.
    • (2005) PLoS Comput. Biol. , vol.1
    • Sporns, O.1    Tononi, G.2    Kotter, R.3
  • 12
    • 60549103853 scopus 로고    scopus 로고
    • Complex brain networks: Graph theoretical analysis of structural and functional systems
    • E. Bullmore and O. Sporns, "Complex brain networks: Graph theoretical analysis of structural and functional systems, " Nature Rev. Neu-rosci., vol. 10, pp. 186-198, 2009.
    • (2009) Nature Rev. Neu-rosci. , vol.10 , pp. 186-198
    • Bullmore, E.1    Sporns, O.2
  • 13
    • 0041924877 scopus 로고    scopus 로고
    • Dynamic causal modelling
    • DOI 10.1016/S1053-8119(03)00202-7
    • K. J. Friston, L. Harrison, and W. Penny, "Dynamic causal modelling, " NeuroImage, vol. 19, pp. 1273-1302, 2003. (Pubitemid 37025831)
    • (2003) NeuroImage , vol.19 , Issue.4 , pp. 1273-1302
    • Friston, K.J.1    Harrison, L.2    Penny, W.3
  • 15
    • 0028312413 scopus 로고
    • Structural equation modeling and its application to network analysis in functional brain imaging
    • A. R. McIntosh and F. Gonzalez-Lima, "Structural equation modeling and its application to network analysis in functional brain imaging, " Hum. Brain Mapp., vol. 2, pp. 2-22, 1994. (Pubitemid 124000439)
    • (1994) Human Brain Mapping , vol.2 , Issue.1-2 , pp. 2-22
    • McIntosh, A.R.1    Gonzalez-Lima, F.2
  • 16
    • 3042641165 scopus 로고    scopus 로고
    • Comparing dynamic causal models
    • DOI 10.1016/j.neuroimage.2004.03.026, PII S1053811904001648
    • W. D. Penny, K. E. Stephan, A. Mechelli, and K. J. Friston, "Comparing dynamic causal models, " NeuroImage, vol. 22, pp. 1157-1172, 2004. (Pubitemid 38829205)
    • (2004) NeuroImage , vol.22 , Issue.3 , pp. 1157-1172
    • Penny, W.D.1    Stephan, K.E.2    Mechelli, A.3    Friston, K.J.4
  • 19
    • 44649118754 scopus 로고    scopus 로고
    • Structural insights into aberrant topo-logical patterns of large-scale cortical networks in alzheimers disease
    • Y. He, Z. Chen, and A. Evans, "Structural insights into aberrant topo-logical patterns of large-scale cortical networks in alzheimers disease, " J. Neurosci., vol. 28, pp. 4756-4766, 2008.
    • (2008) J. Neurosci. , vol.28 , pp. 4756-4766
    • He, Y.1    Chen, Z.2    Evans, A.3
  • 20
    • 78149435102 scopus 로고    scopus 로고
    • Comparing brain networks of different size and connectivity density using graph theory
    • B. C. M. Wijk, C. J. Stam, and A. Daffertshofer, "Comparing brain networks of different size and connectivity density using graph theory, " PLoS ONE, vol. 5, p. e13701, 2010.
    • (2010) PLoS ONE , vol.5
    • Wijk, B.C.M.1    Stam, C.J.2    Daffertshofer, A.3
  • 21
    • 70349637517 scopus 로고    scopus 로고
    • The brain atlas concordance problem: Quantitative comparison of anatomical parcel-lations
    • J. W. Bohland, H. Bokil, C. B. Allen, and P. P. Mitra, "The brain atlas concordance problem: Quantitative comparison of anatomical parcel-lations, " PLoS ONE, vol. 4, p. e7200, 2009.
    • (2009) PLoS ONE , vol.4
    • Bohland, J.W.1    Bokil, H.2    Allen, C.B.3    Mitra, P.P.4
  • 24
    • 18144431880 scopus 로고    scopus 로고
    • Neurophysiological architecture of functional magnetic resonance images of human brain
    • R. Salvador, J. Suckling, M. R. Coleman, J. D. Pickard, D. Menon, and E. Bullmore, "Neurophysiological architecture of functional magnetic resonance images of human brain, " Cereb. Cortex, vol. 15, pp. 1332-1342, 2005.
    • (2005) Cereb. Cortex , vol.15 , pp. 1332-1342
    • Salvador, R.1    Suckling, J.2    Coleman, M.R.3    Pickard, J.D.4    Menon, D.5    Bullmore, E.6
  • 25
    • 33847283332 scopus 로고    scopus 로고
    • Efficiency and cost of economical brain functional networks
    • S. Achard and E. Bullmore, "Efficiency and cost of economical brain functional networks, " PLoS Comput. Biol., vol. 3, p. e17, 2007.
    • (2007) PLoS Comput. Biol. , vol.3
    • Achard, S.1    Bullmore, E.2
  • 26
    • 42749087848 scopus 로고    scopus 로고
    • Emergent network topology at seizure onset in humans
    • M. A. Kramer, E. D. Kolaczyk, and H. E. Kirsch, "Emergent network topology at seizure onset in humans, " Epilepsy Res., vol. 79, pp. 173-186, 2008.
    • (2008) Epilepsy Res. , vol.79 , pp. 173-186
    • Kramer, M.A.1    Kolaczyk, E.D.2    Kirsch, H.E.3
  • 27
    • 67049097328 scopus 로고    scopus 로고
    • Efficiency of functional brain networks and intellectual performance
    • M. P. Van den Heuvel, C. J. Stam, R. S. Kahn, and H. E. Hulshoff Pol, "Efficiency of functional brain networks and intellectual performance, " J. Neurosci., vol. 29, pp. 7619-7624, 2009.
    • (2009) J. Neurosci. , vol.29 , pp. 7619-7624
    • Van Den Heuvel, M.P.1    Stam, C.J.2    Kahn, R.S.3    Hulshoff Pol, H.E.4
  • 28
  • 31
    • 12944263639 scopus 로고    scopus 로고
    • Computing persistent homology
    • DOI 10.1007/s00454-004-1146-y
    • A. Zomorodian and G. Carlsson, "Computing persistent homology, " Discrete Comput. Geom., vol. 33, pp. 249-274, 2005. (Pubitemid 40176437)
    • (2005) Discrete and Computational Geometry , vol.33 , Issue.2 , pp. 249-274
    • Zomorodian, A.1    Carlsson, G.2
  • 35
    • 80053516901 scopus 로고    scopus 로고
    • Topology based kernels with application to inference problems in alzheimer's disease
    • Oct
    • D. Pachauri, C. Hinrichs, M. Chung, S. Johnson, and V. Singh, "Topology based kernels with application to inference problems in alzheimer's disease, " IEEE Trans. Med. Imag., vol. 30, no. 10, pp. 1760-1770, Oct. 2011.
    • (2011) IEEE Trans. Med. Imag. , vol.30 , Issue.10 , pp. 1760-1770
    • Pachauri, D.1    Hinrichs, C.2    Chung, M.3    Johnson, S.4    Singh, V.5
  • 38
    • 41849100389 scopus 로고    scopus 로고
    • Barcodes: The persistent topology of data
    • R. Ghrist, "Barcodes: The persistent topology of data, " B. Am. Math. Soc., vol. 45, pp. 61-75, 2008.
    • (2008) B. Am. Math. Soc. , vol.45 , pp. 61-75
    • Ghrist, R.1
  • 41
    • 77951952667 scopus 로고    scopus 로고
    • Characterization, stability and convergence of hierarchical clustering methods
    • G. Carlsson and F. Mémoli, "Characterization, stability and convergence of hierarchical clustering methods, " J. Mach. Learn. Res., vol. 11, pp. 1425-1470, 2010.
    • (2010) J. Mach. Learn. Res. , vol.11 , pp. 1425-1470
    • Carlsson, G.1    Mémoli, F.2
  • 42
    • 84884804029 scopus 로고    scopus 로고
    • Computational topology for shape modeling
    • Washington, DC
    • J. C. Hart, "Computational topology for shape modeling, " in Proc. Int. Conf. Shape Model. Appl., Washington, DC, 1999, pp. 36-43.
    • (1999) Proc. Int. Conf. Shape Model. Appl , pp. 36-43
    • Hart, J.C.1
  • 46
    • 77954385460 scopus 로고    scopus 로고
    • Complex network measures of brain connectivity: Uses and interpretations
    • [Online]. Available: http://www.brain-connec-tivity-toolbox.net
    • M. Rubinov and O. Sporns, "Complex network measures of brain connectivity: Uses and interpretations, " NeuroImage vol. 52, pp. 1059-1069, 2010 [Online]. Available: http://www.brain-connec-tivity-toolbox.net
    • (2010) NeuroImage , vol.52 , pp. 1059-1069
    • Rubinov, M.1    Sporns, O.2
  • 49
    • 18744389789 scopus 로고    scopus 로고
    • Assortative mixing in networks
    • M. E. Newman, "Assortative mixing in networks, " Phys. Rev. Lett., vol. 89, p. 208701, 2002.
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 208701
    • Newman, M.E.1
  • 50
    • 33750177351 scopus 로고
    • Centrality in social networks: Conceptual clarification
    • L. Freeman, "Centrality in social networks: Conceptual clarification, " Soc. Netw., vol. 1, pp. 215-239, 1978.
    • (1978) Soc. Netw. , vol.1 , pp. 215-239
    • Freeman, L.1
  • 51
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of small-world networks
    • D. J. Watts and S. H. Strogatz, "Collective dynamics of small-world networks, " Nature, vol. 393, pp. 440-442, 1998.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 52
    • 42749100809 scopus 로고    scopus 로고
    • Fast algorithm for detecting community structure in networks
    • M. E. Newman, "Fast algorithm for detecting community structure in networks, " Phys. Rev. E, vol. 69, p. 066133, 2004.
    • (2004) Phys. Rev. e , vol.69 , pp. 066133
    • Newman, M.E.1
  • 53
    • 33344464122 scopus 로고    scopus 로고
    • Vertex similarity in networks
    • E. A. Leicht, P. Holme, and M. E. J. Newman, "Vertex similarity in networks, " Phys. Rev. E, vol. 73, p. 026120, 2006.
    • (2006) Phys. Rev. e , vol.73 , pp. 026120
    • Leicht, E.A.1    Holme, P.2    Newman, M.E.J.3
  • 54
    • 33846672214 scopus 로고    scopus 로고
    • Biological network comparison using graphlet degree distribution
    • N. Przulj, "Biological network comparison using graphlet degree distribution, " Bioinformatics, vol. 23, pp. 177-183, 2007.
    • (2007) Bioinformatics , vol.23 , pp. 177-183
    • Przulj, N.1
  • 55
    • 74549181082 scopus 로고    scopus 로고
    • P-rank: A comprehensive structural similarity measure over information networks
    • P. Zhao, J. Han, Y. Sun, and Y., "P-rank: A comprehensive structural similarity measure over information networks, " in Proc. 18th ACM Conf. Inf. Knowl. Manag., 2009, pp. 553-562.
    • (2009) Proc. 18th ACM Conf. Inf. Knowl. Manag. , pp. 553-562
    • Zhao, P.1    Han, J.2    Sun, Y.3
  • 56
    • 84924181828 scopus 로고    scopus 로고
    • Towards a theory of scale-free graphs: Definition, properties, and implications
    • L. Li, D. Alderson, J. C. Doyle, and W. Willinger, "Towards a theory of scale-free graphs: Definition, properties, and implications, " Internet Math., vol. 2, pp. 431-523, 2005.
    • (2005) Internet Math. , vol.2 , pp. 431-523
    • Li, L.1    Alderson, D.2    Doyle, J.C.3    Willinger, W.4
  • 57
    • 31844435550 scopus 로고    scopus 로고
    • A theoretical and computational framework for isometry invariant recognition of point cloud data
    • DOI 10.1007/s10208-004-0145-y
    • F. Mémoli and G. Sapiro, "A theoretical and computational framework for isometry invariant recognition of point cloud data, " Found. Comput. Math., vol. 5, pp. 313-347, 2005. (Pubitemid 43183919)
    • (2005) Foundations of Computational Mathematics , vol.5 , Issue.3 , pp. 313-347
    • Memoli, F.1    Sapiro, G.2
  • 58
    • 8444243043 scopus 로고    scopus 로고
    • Astrocytic control of glutamatergic activity: Astrocytes as stars of the show
    • DOI 10.1016/j.tins.2004.10.008, PII S0166223604003364
    • L. Hertz and H. Zielke, "Astrocytic control of glutamatergic activity: Astrocytes as stars of the show, " Trends Neurosci., vol. 27, pp. 735-743, 2004. (Pubitemid 39488077)
    • (2004) Trends in Neurosciences , vol.27 , Issue.12 , pp. 735-743
    • Hertz, L.1    Zielke, H.R.2
  • 59
    • 0042671273 scopus 로고    scopus 로고
    • Developmental hemispheric asymmetry of interregional metabolic correlation of the auditory cortex in deaf subjects
    • DOI 10.1016/S1053-8119(03)00118-6
    • E. Kang, D. S. Lee, J. S. Lee, H. Kang, C. H. Hwang, S. H. Oh, C. S. Kim, J. K. Chung, M. C. Lee, M. J. Jang, Y. J. Lee, P. Morosan, and K. Zilles, "Developmental hemispheric asymmetry of interregional metabolic correlation of the auditory cortex in deaf subjects, " Neu-roImage, vol. 19, pp. 777-783, 2003. (Pubitemid 36918220)
    • (2003) NeuroImage , vol.19 , Issue.3 , pp. 777-783
    • Kang, E.1    Lee, D.S.2    Lee, J.S.3    Kang, H.4    Hwang, C.H.5    Oh, S.H.6    Kim, C.S.7    Chung, J.-K.8    Lee, M.C.9    Jang, M.J.10    Lee, Y.J.11    Morosan, P.12    Zilles, K.13
  • 60
    • 50449108302 scopus 로고    scopus 로고
    • Metabolic connectivity by interregional correlation analysis using statistical parametric mapping (SPM) and FDG brain PET; Methodological development and patterns of metabolic connectivity in adults
    • D. S. Lee, H. Kang, H. Kim, H. Park, J. S. Oh, J. S. Lee, and M. C. Lee, "Metabolic connectivity by interregional correlation analysis using statistical parametric mapping (SPM) and FDG brain PET; methodological development and patterns of metabolic connectivity in adults, " Eur. J. Nucl. Med. Mol. Imag., vol. 35, pp. 1681-1691, 2008.
    • (2008) Eur. J. Nucl. Med. Mol. Imag. , vol.35 , pp. 1681-1691
    • Lee, D.S.1    Kang, H.2    Kim, H.3    Park, H.4    Oh, J.S.5    Lee, J.S.6    Lee, M.C.7
  • 61
    • 30344444805 scopus 로고    scopus 로고
    • Cytology and functionally correlated circuits of human posterior cingulate areas
    • DOI 10.1016/j.neuroimage.2005.07.048, PII S105381190500546X
    • B. Vogt, L. Vogt, and S. Laureys, "Cytology and functionally correlated circuits of human posterior cingulate areas, " NeuroImage, vol. 15, pp. 452-466, 2006. (Pubitemid 43063302)
    • (2006) NeuroImage , vol.29 , Issue.2 , pp. 452-466
    • Vogt, B.A.1    Vogt, L.2    Laureys, S.3
  • 64
  • 65
    • 58149148230 scopus 로고    scopus 로고
    • Cognitive neuroscience of attention deficit hyperactivity disorder: Current status and working hypotheses
    • C. J. Vaidya and M. Stollstorff, "Cognitive neuroscience of attention deficit hyperactivity disorder: Current status and working hypotheses, " Dev. Disabil. Res. Rev., vol. 14, pp. 261-267, 2008.
    • (2008) Dev. Disabil. Res. Rev. , vol.14 , pp. 261-267
    • Vaidya, C.J.1    Stollstorff, M.2
  • 66
    • 8644226199 scopus 로고    scopus 로고
    • Sensory-motor deficits in children with developmental coordination disorder, attention deficit hyperactivity disorder and autistic disorder
    • DOI 10.1016/j.humov.2004.08.019, PII S0167945704000624
    • J. P. Piek and M. J. Dyck, "Sensory-motor deficits in children with developmental coordination disorder, attention deficit hyperactivity disorder and autistic disorder, " Hum. Movement Sci., vol. 23, pp. 475-488, 2004. (Pubitemid 39497173)
    • (2004) Human Movement Science , vol.23 , Issue.3-4 SPEC. ISSUE , pp. 475-488
    • Piek, J.P.1    Dyck, M.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.