Highlighting the Structure-Function Relationship of the Brain with the Ising Model and Graph Theory

BioMed Research International

Volumn 2014, Issue , 2014, Pages

  Das, T K ^a   Abeyasinghe, P M ^a   Crone, J S ^b,c   Sosnowski, A ^a   Laureys, S ^d   Owen, A M ^a   Soddu, A ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

^b PARACELSUS MEDICAL UNIVERSITY   (Austria)

^c UNIVERSITY OF SALZBURG   (Austria)

^d UNIVERSITY OF LIÈGE   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

ANATOMICAL CONCEPTS; ANESTHESIA; BRAIN FUNCTION; BRAIN INJURY; COGNITION; CORRELATION ANALYSIS; DEFAULT MODE NETWORK; ELECTROPHYSIOLOGY; FUNCTIONAL MAGNETIC RESONANCE IMAGING; GRAPH THEORY; HUMAN; ISING MODEL; KURAMOTO MODEL; MATHEMATICAL MODEL; NEUROANATOMY; NEUROBIOLOGY; NEUROIMAGING; NEUROSCIENCE; REVIEW; WHITE MATTER; ANATOMY AND HISTOLOGY; BIOLOGICAL MODEL; BRAIN; BRAIN MAPPING; COMPUTER SIMULATION; NERVE CELL NETWORK; PHYSIOLOGY;

BRAIN; BRAIN MAPPING; COMPUTER SIMULATION; HUMANS; MODELS, NEUROLOGICAL; NERVE NET;

EID: 84930653999     PISSN: 23146133     EISSN: 23146141     Source Type: Journal    
DOI: 10.1155/2014/237898     Document Type: Review

References (112)

1. O. Sporns, "Contributions and challenges for network models in cognitive neuroscience, " Nature Neuroscience, vol. 17, pp. 652-660, 2014.
2. M. D. Greicius, B. Krasnow, A. L. Reiss, and V. Menon, "Functional connectivity in the resting brain: a network analysis of the default mode hypothesis, " Proceedings of the National Academy of Sciences of the United States of America, vol. 100, no. 1, pp. 253-258, 2003.
3. B. B. Biswal, "Resting state fMRI: a personal history, " NeuroImage, vol. 62, no. 2, pp. 938-944, 2012.
4. M. P. van den Heuvel and H. E. Hulshoff Pol, "Exploring the brain network: a review on resting-state fMRI functional connectivity, " European Neuropsychopharmacology, vol. 20, no. 8, pp. 519-534, 2010.
5. M. D. Greicius, K. Supekar, V. Menon, and R. F. Dougherty, "Resting-state functional connectivity reflects structural connectivity in the default mode network, " Cerebral Cortex, vol. 19, no. 1, pp. 72-78, 2009.
6. D. M. Cole, S. M. Smith, and C. F. Beckmann, "Advances and pitfalls in the analysis and interpretation of resting-state FMRI data, " Frontiers in Systems Neuroscience, vol. 4, p. 8, 2010.
7. Y. Liu, M. Liang, Y. Zhou et al., "Disrupted small-world networks in schizophrenia, " Brain, vol. 131, no. 4, pp. 945-961, 2008.
8. O. Sporns, Networks of the Brain, MIT Press, Boston, Mass, USA, 2011.
9. C. R. Noback, N. L. Strominger, R. J. Demarest, and D. A. Ruggiero, The Human Nervous System: Structure and Function, Springer, NewYork, NY, USA, 2005.
10. E. Bullmore and O. Sporns, "Complex brain networks: graph theoretical analysis of structural and functional systems, " Nature Reviews Neuroscience, vol. 10, no. 3, pp. 186-198, 2009.
11. A. L. Hodgkin and A. F. Huxley, "A quantitative description of membrane current and its application to conduction and excitation in nerve, " The Journal of Physiology, vol. 117, no. 4, pp. 500-544, 1952.
12. D. J. Amit, Modeling Brain Function: The World of Attractor Neural Networks, Cambridge University Press, 1992.
13. J. S. Kelso, Dynamic Patterns:The Self-Organization of Brain and Behavior, MIT Press, 1995.
14. E. M. Izhikevich, Dynamical Systems in Neuroscience, The MIT Press, Boston, Mass, USA, 2007.
15. M. Ozer, M. Perc, and M. Uzuntarla, "Controlling the spontaneous spiking regularity via channel blocking on Newman-Watts networks of Hodgkin-Huxley neurons, " EPL, vol. 86, no. 4, Article ID 40008, 2009.
16. M. Breakspear, S. Heitmann, and A. Daffertshofer, "Generative models of cortical oscillations: neurobiological implications of the Kuramoto model, " Frontiers in Human Neuroscience, vol. 4, article 190, 2010.
17. M. D. Fox and M. E. Raichle, "Spontaneous fluctuations in brain activity observed with functional magnetic resonance imaging, " Nature Reviews Neuroscience, vol. 8, no. 9, pp. 700-711, 2007.
18. D. R. Chialvo, "Emergent complex neural dynamics, " Nature Physics, vol. 6, no. 10, pp. 744-750, 2010.
19. J. Cabral, E. Hugues, O. Sporns, and G. Deco, "Role of local network oscillations in resting-state functional connectivity, " NeuroImage, vol. 57, no. 1, pp. 130-139, 2011.
20. G. Deco, V. K. Jirsa, and A. R. McIntosh, "Emerging concepts for the dynamical organization of resting-state activity in the brain, " Nature Reviews Neuroscience, vol. 12, no. 1, pp. 43-56, 2011.
21. C. J. Honey, O. Sporns, L. Cammoun et al., "Predicting human resting-state functional connectivity fromstructural connectivity, " Proceedings of theNationalAcademy of Sciences of theUnited States of America, vol. 106, no. 6, pp. 2035-2040, 2009.
22. J. Cabral, E. Hugues, M. L. Kringelbach, andG. Deco, "Modeling the outcome of structural disconnection on resting-state functional connectivity, " NeuroImage, vol. 62, no. 3, pp. 1342-1353, 2012.
23. E. Ziegler, A. Foret, L. Mascetti et al., "Altered white matter architecture in BDNF Met carriers, " PLoS ONE, vol. 8, no. 7, Article ID e69290, 2013.
24. D. R. Chialvo, "Critical brain networks, " Physica A: Statistical Mechanics and Its Applications, vol. 340, no. 4, pp. 756-765, 2004.
25. A. Levina, J. M. Herrmann, and T. Geisel, "Dynamical synapses causing self-organized criticality in neural networks, " Nature Physics, vol. 3, no. 12, pp. 857-860, 2007.
26. A. Haimovici, E. Tagliazucchi, P. Balenzuela, and D. R. Chialvo, "Brain organization into resting state networks emerges at criticality on a model of the human connectome, " Physical Review Letters, vol. 110, no. 17, Article ID178101, 2013.
27. D. R. Chialvo, P. Balenzuela, and D. Fraiman, "The brain: what is critical about it?" American Institute of Physics Conference Proceedings, vol. 1028, pp. 28-45, 2008.
28. D. Fraiman, P. Balenzuela, J. Foss, and D. R. Chialvo, "Isinglike dynamics in large-scale functional brain networks, " Physical Review E, vol. 79, no. 6, Article ID061922, 2009.
29. S. Istrail, "Statistical mechanics, three-dimensionality and NPcompleteness. I. Universality of intractability for the partition function of the ISIng model across non-planar surfaces (extended abstract), " in Proceedings of the 32nd Annual ACM Symposium on Theory of Computing, pp. 87-96, ACM, New York, NY, USA.
30. J. M. Beggs and N. Timme, "Being critical of criticality in the brain, " Frontiers in Physiology, vol. 3, article 163, 2012.
31. K. J. Friston, "Functional and effective connectivity: a review, " Brain Connectivity, vol. 1, no. 1, pp. 13-36, 2011.
32. D. Marinazzo, M. Pellicoro, and S. Stramaglia, "Information transfer of an Ising model on a brain network, " BMC Neuroscience, vol. 14, article P376, supplement 1, 2013.
33. L. Heine, A. Soddu, F. Gomez et al., "Resting state networks and consciousness: alterations of multiple resting state network connectivity in physiological, pharmacological, and pathological consciousness states, " Frontiers in Psychology, vol. 3, Article ID Article 295, 2012.
34. C. J. Honey, R. Kotter, M. Breakspear, and O. Sporns, "Network structure of cerebral cortex shapes functional connectivity on multiple time scales, " Proceedings of the National Academy of Sciences of the United States of America, vol. 104, no. 24, pp. 10240-10245, 2007.
35. R. Almeida and M. Stetter, "Modeling the link between functional imaging and neuronal activity: synaptic metabolic demand and spike rates, " NeuroImage, vol. 17, no. 2, pp. 1065-1079, 2002.
36. J. Scholz, M. C. Klein, T. E. J. Behrens, and H. Johansen-Berg, "Training induces changes inwhite-matter architecture, " Nature Neuroscience, vol. 12, no. 11, pp. 1370-1371, 2009.
37. M. E. Raichle, "A paradigm shift in functional brain imaging, " The Journal of Neuroscience, vol. 29, no. 41, pp. 12729-12734, 2009.
38. P. Hagmann, O. Sporns, N. Madan et al., "White matter maturation reshapes structural connectivity in the late developing human brain, " Proceedings of the National Academy of Sciences of the United States of America, vol. 107, no. 44, pp. 19067-19072, 2010.
39. E. T. Bullmore and D. S. Bassett, "Brain graphs: graphical models of the human brain connectome, " Annual Review of Clinical Psychology, vol. 7, pp. 113-140, 2011.
40. B. Horwitz, "The elusive concept of brain connectivity, " NeuroImage, vol. 19, no. 2, pp. 466-470, 2003.
41. G. Gong, Y. He, L. Concha et al., "Mapping anatomical connectivity patterns of human cerebral cortex using in vivo diffusion tensor imaging tractography, " Cerebral Cortex, vol. 19, no. 3, pp. 524-536, 2009.
42. Y. He, Z. J. Chen, and A. C. Evans, "Small-world anatomical networks in the human brain revealed by cortical thickness from MRI, " Cerebral Cortex, vol. 17, no. 10, pp. 2407-2419, 2007.
43. 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, " Cerebral Cortex, vol. 18, no. 10, pp. 2374-2381, 2008.
44. D. J. Watts and S. H. Strogatz, "Collective dynamics of "smallworld" networks, " Nature, vol. 393, no. 6684, pp. 440-442, 1998.
45. O. Sporns, "The non-random brain: efficiency, economy, and complex dynamics, " Frontiers in Computational Neuroscience, vol. 5, article 5, 2011.
46. J. Alstott, M. Breakspear, P. Hagmann, L. Cammoun, and O. Sporns, "Modeling the impact of lesions in the human brain, " PLoS Computational Biology, vol. 5, no. 6, Article ID e1000408, 2009.
47. C. J. Honey and O. Sporns, "Dynamical consequences of lesions in cortical networks, " Human Brain Mapping, vol. 29, no. 7, pp. 802-809, 2008.
48. T. Binzegger, R. J. Douglas, and K. A. Martin, "A quantitative map of the circuit of cat primary visual cortex, " The Journal of Neuroscience, vol. 24, no. 39, pp. 8441-8453, 2004.
49. S. J. Schiff, Neural Control Engineering: The Emerging Intersection between Control Theory and Neuroscience, MIT Press, Boston, Mass, USA, 2012.
50. J. Schmahmann, "The primary motor cerebellum is in the anterior lobe but not the posterior lobe. Evidence from stroke patients, " in Neurology, Lippincott Williams & Wilkins, Philadelphia, Pa, USA, 2007.
51. D. A. Fair, A. L. Cohen, N. U. F. Dosenbach et al., "Thematuring architecture of the brains default network, " Proceedings of the National Academy of Sciences of the United States of America, vol. 105, no. 10, pp. 4028-4032, 2008.
52. S. M. Nelson, A. L. Cohen, J. D. Power et al., "A parcellation scheme for human left lateral parietal cortex, " Neuron, vol. 67, no. 1, pp. 156-170, 2010.
53. G. Buzsaki, "Large-scale recording of neuronal ensembles, " Nature Neuroscience, vol. 7, no. 5, pp. 446-451, 2004.
54. E. Bullmore and O. Sporns, "The economy of brain network organization, " Nature Reviews Neuroscience, vol. 13, no. 5, pp. 336-349, 2012.
55. P. Boveroux, A. Vanhaudenhuyse, M. Bruno et al., "Breakdown of within-and between-network resting state functional magnetic resonance imaging connectivity during propofol-induced loss of consciousness, " Anesthesiology, vol. 113, no. 5, pp. 1038-1053, 2010.
56. J. L. Vincent, G. H. Patel, M. D. Fox et al., "Intrinsic functional architecture in the anaesthetized monkey brain, " Nature, vol. 447, no. 7140, pp. 83-86, 2007.
57. M. M. Monti, "Dynamic change of global and local information processing in propofol-induced loss and recovery of consciousness, " PLoS Computational Biology, vol. 9, no. 10, Article ID e1003271, 2013.
58. P. Guldenmund, A. Demertzi, P. Boveroux et al., "Thalamus, brainstem and salience network connectivity changes during propofol-induced sedation and unconsciousness, " Brain connectivity, vol. 3, no. 3, pp. 273-285, 2013.
59. M. Tschernegg, J. S. Crone, T. Eigenberger et al., "Abnormalities of functional brain networks in pathological gambling: a graphtheoretical approach, " Frontiers in Human Neuroscience, vol. 7, article 625, 2013.
60. O. Sporns, "Structure and function of complex brain networks, " Dialogues in Clinical Neuroscience, vol. 15, no. 3, pp. 247-262, 2013.
61. G. Werner, "Metastability, criticality and phase transitions in brain and its models, " BioSystems, vol. 90, no. 2, pp. 496-508, 2007.
62. S. G. Brush, "History of the Lenz-Ising model, " Reviews of Modern Physics, vol. 39, no. 4, pp. 883-893, 1967.
63. L. Onsager, "Crystal statistics. I. A two-dimensional model with an order-disorder transition, " Physical Review, vol. 65, article 117, 1944.
64. M. G. Kitzbichler, M. L. Smith, S. R. Christensen, and E. Bullmore, "Broadband criticality of human brain network synchronization, " PLoS Computational Biology, vol. 5, no. 3, Article ID e1000314, 2009.
65. L. E. Reichl and I. Prigogine, A Modern Course in Statistical Physics, vol. 71, University of Texas Press, 1980.
66. D. P. Landau and K. Binder, A Guide toMonte Carlo Simulations in Statistical Physics, Cambridge University Press, Cambridge, 3rd edition, 2009.
67. B. Fischl, "FreeSurfer, " NeuroImage, vol. 62, no. 2, pp. 774-781, 2012.
68. H. B. Barlow, "Single units and sensation: a neuron doctrine for perceptual psychology?" Perception, vol. 1, no. 4, pp. 371-394, 1972.
69. C. Koch, Biophysics of Computation: Information Processing in Single Neurons, Oxford University Press, 2004.
70. E. Schneidman, M. J. Berry II, R. Segev, and W. Bialek, "Weak pairwise correlations imply strongly correlated network states in a neural population, " Nature, vol. 440, no. 7087, pp. 1007-1012, 2006.
71. J. J. Hopfield, "Neural networks and physical systems with emergent collective computational abilities, " Proceedings of the National Academy of Sciences of the United States of America, vol. 79, no. 8, pp. 2554-2558, 1982.
72. R. Kozma, M. Puljic, and W. J. Freeman, "Thermodynamic model of criticality in the cortex based on EEG/ECOG data, " Criticality in Neural Systems, 2014.
73. S. Yu, H. Yang, O. Shriki, and D. Plenz, "Universal organization of resting brain activity at the thermodynamic critical point, " Frontiers in Systems Neuroscience, vol. 7, article 42, 2013.
74. S. N. Dorogovtsev and J. F. F. Mendes, Evolution of Networks: From Biological Nets to the Internet andWWW, OxfordUniversity Press, Oxford, UK, 2013.
75. H. G. Schuster, D. Plenz, and E. Niebur, Criticality in Neural Systems, JohnWiley & Sons, 2014.
76. J. A. Scott Kelso, "Multistability and metastability: understanding dynamic coordination in the brain, " Philosophical Transactions of the Royal Society B: Biological Sciences, vol. 367, no. 1591, pp. 906-918, 2012.
77. J. Hidalgo, J. Grilli, S. Suweis, M. A. Munoz, J. R. Banavar, and A. Maritan, "Emergence of criticality in living systems through adaptation and evolution: practice makes critical, " 2013, http://arxiv.org/abs/1307.4325.
78. T. Froese, A. Woodward, and T. Ikegami, "Turing instabilities in biology, culture, and consciousness? On the enactive origins of symbolic material culture, " Adaptive Behavior, vol. 21, no. 3, pp. 199-214, 2013.
79. M. I. Rabinovich, V. S. Afraimovich, C. Bick, and P. Varona, "Information flow dynamics in the brain, " Physics of Life Reviews, vol. 9, no. 1, pp. 51-73, 2012.
80. J. S. Kelso and E. Tognoli, "Toward a complementary neuroscience: metastable coordination dynamics of the brain, " in Downward Causation and theNeurobiology of FreeWill, pp. 103-124, Springer, 2009.
81. G. Deco and M. Corbetta, "The dynamical balance of the brain at rest, " The Neuroscientist, vol. 17, no. 1, pp. 107-123, 2011.
82. B. C. M. vanWijk, C. J. Stam, and A. Daffertshofer, "Comparing brain networks of different size and connectivity density using graph theory, " PLoS ONE, vol. 5, no. 10, Article IDe13701, 2010.
83. H.-J. Park and K. Friston, "Structural and functional brain networks: from connections to cognition, " Science, vol. 342, no. 6158, Article ID 1238411, 2013.
84. K. Supekar, V. Menon, D. Rubin, M. Musen, andM. D. Greicius, "Network analysis of intrinsic functional brain connectivity in Alzheimers disease, " PLoS Computational Biology, vol. 4, no. 6, Article ID e1000100, 2008.
85. O. Sporns and J. D. Zwi, "The smallworld of the cerebral cortex, " Neuroinformatics, vol. 2, no. 2, pp. 145-162, 2004.
86. M. Rubinov and O. Sporns, "Complex network measures of brain connectivity: uses and interpretations, " NeuroImage, vol. 52, no. 3, pp. 1059-1069, 2010.
87. S. H. Strogatz, "Exploring complex networks, " Nature, vol. 410, no. 6825, pp. 268-276, 2001.
88. S. Achard and E. Bullmore, "Efficiency and cost of economical brain functional networks, " PLoS Computational Biology, vol. 3, no. 2, p. e17, 2007.
89. V. Latora and M. Marchiori, "Efficient behavior of small-world networks, " Physical Review Letters, vol. 87, no. 19, Article ID 198701, 2001.
90. V. Latora and M. Marchiori, "Economic small-world behavior in weighted networks, " The European Physical Journal B :CondensedMatter and Complex Systems, vol. 32, no. 2, pp. 249-263, 2003.
91. J. Sophia Crone, A. Soddu, Y. Holler et al., "Altered network properties of the fronto-parietal network and the thalamus in impaired consciousness, " NeuroImage: Clinical, vol. 4, pp. 240-248, 2014.
92. O. Sporns and R. Kotter, "Motifs in brain networks, " PLoS Biology, vol. 2, no. 11, article e369, 2004.
93. P. Crucittia, V. Latorab, M. Marchioric, and A. Rapisarda, "Efficiency of scale-free networks: error and attack tolerance, " Physica A, vol. 320, pp. 622-642, 2003.
94. B. Alper, B. Bach, N. H. Riche, T. Isenberg, and J. Fekete, "Weighted graph comparison techniques for brain connectivity analysis, " in Proceedings of the SIGCHI Conference on Human Factors in Computing Systems (CHI 13), pp. 483-492, May 2013.
95. A. Roebroeck, E. Formisano, and R. Goebel, "The identification of interacting networks in the brain using fMRI: model selection, causality and deconvolution, " NeuroImage, vol. 58, no. 2, pp. 296-302, 2011.
96. W. D. Penny, K. E. Stephan, A. Mechelli, and K. J. Friston, "Modelling functional integration: a comparison of structural equation and dynamic causal models, " NeuroImage, vol. 23, no. 1, pp. S264-S274, 2004.
97. K. Friston, "Causal modelling and brain connectivity in functional magnetic resonance imaging, " PLoS Biology, vol. 7, no. 2, Article ID e1000033, 2009.
98. K. Friston, "Dynamic causal modeling and granger causality comments on: the identification of interacting networks in the brain using fMRI: model selection, causality and deconvolution, " NeuroImage, vol. 58, no. 2, pp. 303-305, 2011.
99. D. J. Sharp, G. Scott, and R. Leech, "Network dysfunction after traumatic brain injury, " Nature Reviews Neurology, vol. 10, pp. 156-166, 2014.
100. S. Laureys, A. M. Owen, and N. D. Schiff, "Brain function in coma, vegetative state, and related disorders, " The Lancet Neurology, vol. 3, no. 9, pp. 537-546, 2004.
101. A. Soddu, A. Vanhaudenhuyse, M. A. Bahri et al., "Identifying the default-mode component in spatial IC analyses of patients with disorders of consciousness, " Human Brain Mapping, vol. 33, no. 4, pp. 778-796, 2012.
102. M. S. Schroter, V. I. Spoormaker, A. Schorer et al., "Spatiotemporal reconfiguration of large-scale brain functional networks during propofol-induced loss of consciousness, " The Journal of Neuroscience, vol. 32, no. 37, pp. 12832-12840, 2012.
103. M. M. Monti, A. Vanhaudenhuyse, M. R. Coleman et al., "Willful modulation of brain activity in disorders of consciousness, " The New England Journal of Medicine, vol. 362, no. 7, pp. 579-589, 2010.
104. P. Moretti, M. A. Mu, and M. A. Munoz, "Griffiths phases and the stretching of criticality in brain networks, " Nature Communications, vol. 4, Article ID2521, 2013.
105. A. L. Roskies, "Brain-mind and structure-function relationships: a methodological response to coltheart, " Philosophy of Science, vol. 76, no. 5, pp. 927-939, 2010.
106. A. Demertzi, F. Gomez, J. S. Crone et al., "Multiple fMRI system-level baseline connectivity is disrupted in patients with consciousness alterations, " Cortex, vol. 52, pp. 35-46, 2014.
107. M. A. Bruno, D. Fernandez-Espejo, R. Lehembre et al., "Multimodal neuroimaging in patients with disorders of consciousness showing " functional hemispherectomy", " Progress in Brain Research, vol. 193, pp. 323-333, 2011.
108. A. Soddu, A. Vanhaudenhuyse, A. Demertzi et al., "Resting state activity in patients with disorders of consciousness, " Functional Neurology, vol. 26, no. 1, pp. 37-43, 2011.
109. A. M. Owen and M. R. Coleman, "Functional MRI in disorders of consciousness: advantages and limitations, " Current Opinion in Neurology, vol. 20, no. 6, pp. 632-637, 2007.
110. J. T. Giacino, J. J. Fins, S. Laureys, and N. D. Schiff, "Disorders of consciousness after acquired brain injury: the state of the science, " Nature Reviews Neurology, vol. 10, pp. 99-114, 2014.
111. R. W. van Boven, G. S. Harrington, D. B. Hackney et al., "Advances in neuroimaging of traumatic brain injury and posttraumatic stress disorder, " Journal of Rehabilitation Research and Development, vol. 46, no. 6, pp. 717-756, 2009.
112. M. Inglese, S. Makani, G. Johnson et al., "Diffuse axonal injury in mild traumatic brain injury: a diffusion tensor imaging study, " Journal of Neurosurgery, vol. 103, no. 2, pp. 298-303, 2005.