The relationship between structural and functional connectivity: Graph theoretical analysis of an EEG neural mass model

NeuroImage

Volumn 52, Issue 3, 2010, Pages 985-994

  Ponten, S C ^a   Daffertshofer, A ^b   Hillebrand, A ^a   Stam, C J ^a  

^a VU UNIVERSITY MEDICAL CENTER   (Netherlands)

^b VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

Complexity; EEG; Functional connectivity; Graph theory; Modeling; Small world networks; Synchronization

Indexed keywords

ALGORITHM; ALPHA RHYTHM; ARTICLE; BRAIN FUNCTION; CONTROLLED STUDY; CORTICAL SYNCHRONIZATION; ELECTROENCEPHALOGRAPHY; EXCITATORY POSTSYNAPTIC POTENTIAL; FUNCTIONAL ASSESSMENT; INHIBITORY POSTSYNAPTIC POTENTIAL; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; NEURAL MASS MODEL; PRIORITY JOURNAL; ARTIFICIAL NEURAL NETWORK; BIOLOGICAL MODEL; BRAIN; NERVE CELL NETWORK; PHYSIOLOGY;

BRAIN; ELECTROENCEPHALOGRAPHY; MODELS, NEUROLOGICAL; NERVE NET; NEURAL NETWORKS (COMPUTER);

EID: 77954386365     PISSN: 10538119     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.neuroimage.2009.10.049     Document Type: Article

References (76)

1. Aertsen A.M.H.J., Gerstein G.L., Habib M.K., Palm G. Dynamics of neuronal firing correlation-modulation of effective connectivity. J. Neurophysiol. 1989, 61:900-917.
2. Ansari-Asl K., Senhadji L., Bellanger J.J., Wendling F. Quantitative evaluation of linear and nonlinear methods characterizing interdependencies between brain signals. Phys. Rev. E 2006, 031916:74.
3. Babiloni C., Ferri R., Moretti D.V., Strambi A., Binetti G., Dal Forno G., Ferreri F., Lanuzza B., Bonato C., Nobili F., Rodriguez G., Salinari S., Passero S., Rocchi R., Stam C.J., Rossini P.M. Abnormal fronto-parietal coupling of brain rhythms in mild Alzheimer's disease: a multicentric EEG study. Eur. J. Neurosci. 2004, 19:2583-2590.
4. Barabasi A.L., Albert R. Emergence of scaling in random networks. Science 1999, 286:509-512.
5. Bartolomei F., Bosma I., Klein M., Baayen J.C., Reijneveld J.C., Postma T.J., Heimans J.J., van Dijk B.W., de Munck J.C., de Jongh A., Cover K.S., Stam C.J. Disturbed functional connectivity in brain tumour patients: evaluation by graph analysis of synchronization matrices. Clin. Neurophysiol. 2006, 117:2039-2049.
6. Boccaletti S., Latora V., Moreno Y., Chavez M., Hwang D.U. Complex networks: structure and dynamics. Physics Reports 2006, 424:175-308.
7. Brede M. Locals vs. global synchronization in networks of non-identical Kuramoto oscillators. European Physical Journal B 2008, 62:87-94.
8. Chen M., Shang Y., Zou Y., Kurths J. Synchronization in the Kuramoto model: a dynamical gradient network approach. Phys. Rev. E. 2008, 027101:77.
9. Damoiseaux J.S., Rombouts S.A.R.B., Barkhof F., Scheltens P., Stam C.J., Smith S.M., Beckmann C.F. Consistent resting-state networks across healthy subjects. Proc. Natl. Acad. Sci. U.S.A. 2006, 103:13848-13853.
10. David O., Friston K.J. A neural mass model for MEG/EEG: coupling and neuronal dynamics. Neuroimage 2003, 20:1743-1755.
11. David O., Cosmelli D., Hasboun D., Garnero L. A multitrial analysis for revealing significant corticocortical networks in magnetoencephalography and electroencephalography. Neuroimage 2003, 20:186-201.
12. David O., Harrison L., Friston K.J. Modelling event-related responses in the brain. Neuroimage 2005, 25:756-770.
13. Deco G., Jirsa V.K., Robinson P.A., Breakspear M., Friston K. The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS Comput. Biol. 2008, 4:e1000092.
14. Eguiluz V.M., Chialvo D.R., Cecchi G.A., Baliki M., Apkarian A.V. Scale-free brain functional networks. Phys. Rev. Lett. 2005, 018102:94.
15. Freeman W.J. Models of the dynamics of neural populations. Electroencephalograph. Clin. Neurophysiol. Suppl. 1978, 9-18.
16. Friston K.J. Brain function, nonlinear coupling, and neuronal transients. Neuroscientist 2001, 7:406-418.
17. Golomb D., Hansel D. The number of synaptic inputs and the synchrony of large, sparse neuronal networks. Neural Comput. 2000, 12:1095-1139.
18. He Y., Chen Z.J., Evans A.C. Small-world anatomical networks in the human brain revealed by cortical thickness from MRI. Cereb. Cortex 2007, 17:2407-2419.
19. Hilgetag C.C., Burns G.A.P.C., O'Neill M.A., Scannell J.W., Young M.P. Anatomical connectivity defines the organization of clusters of cortical areas in the macaque monkey and the cat. Philos. Trans. R. Soc. Lond B Biol. Sci. 2000, 355:91-110.
20. Honey C.J., Sporns O. Dynamical consequences of lesions in cortical networks. Hum. Brain Mapp. 2008, 29:802-809.
21. Honey C.J., Kotter R., Breakspear M., Sporns O. Network structure of cerebral cortex shapes functional connectivity on multiple time scales. Proc. Natl. Acad. Sci. U.S.A. 2007, 104:10240-10245.
22. Honey C.J., Sporns O., Cammoun L., Gigandet X., Thiran J.P., Meuli R., Hagmann P. Predicting human resting-state functional connectivity from structural connectivity. Proc. Natl. Acad. Sci. U.S.A. 2009, 106:2035-2040.
23. Izhikevich E.M., Edelman G.M. Large-scale model of mammalian thalamocortical systems. Proc. Natl. Acad. Sci. U.S.A. 2008, 105:3593-3598.
24. Jansen B.H., Rit V.G. Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns. Biol. Cybern. 1995, 73:357-366.
25. Kuramoto Y. Self-entrainment of a population of coupled non-linear oscillators. International Symposium on Mathematical Problems in Theoretical Physics, Lecture Notes in Physics 1975, 420-422. Springer-Verlag, Kyoto/ Japan. H. Arakai (Ed.).
26. Le Van Quyen M. Disentangling the dynamic core: a research program for a neurodynamics at the large-scale. Biological Research 2003, 36:67-88.
27. Le Van Quyen M., Foucher J., Lachaux J., Rodriguez E., Lutz A., Martinerie J., Varela F.J. Comparison of Hilbert transform and wavelet methods for the analysis of neuronal synchrony. J. Neurosci. Methods 2001, 111:83-98.
28. Lee L., Harrison L.M., Mechelli A. A report of the functional connectivity workshop, Düsseldorf 2002. Neuroimage 2003, 19:457-465.
29. Lopes da Silva F.H. Neural mechanisms underlying brain waves: from neural membranes to networks. Electroencephalogr. Clin. Neurophysiol 1991, 79:81-93.
30. Lopes da Silva F.H., Hoeks A., Smits H., Zetterberg L.H. Model of brain rhythmic activity. The alpha-rhythm of the thalamus. Kybernetik. 1974, 15:27-37.
31. Lopes da Silva F.H., van Rotterdam A., Barts P., van Heusden E., Burr W. Models of neuronal populations: the basic mechanisms of rhythmicity. Prog. Brain Res. 1976, 45:281-308.
32. Lopes da Silva F.H., Pijn J.P., Velis D., Nijssen P.C. Alpha rhythms: noise, dynamics and models. Int. J. Psychophysiol. 1997, 26:237-249.
33. Mardia K.V. Statistics of directional data 1972, Academic Press, London.
34. Maslov S., Sneppen K. Specificity and stability in topology of protein networks. Science 2002, 296:910-913.
35. Micheloyannis S., Pachou E., Stam C.J., Breakspear M., Bitsios P., Vourkas M., Erimaki S., Zervakis M. Small-world networks and disturbed functional connectivity in schizophrenia. Schizophr. Res. 2006, 87:60-66.
36. Mormann F., Lehnertz K., David P., Elger C.E. Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients. Physica D-Nonlinear Phenomena 2000, 144:358-369.
37. Motter A.E., Zhou C.S., Kurths J. Enhancing complex-network synchronization. Europhysics Letters 2005, 69:334-340.
38. Newman M.E.J. The structure and function of complex networks. Siam Rev 2003, 45:167-256.
39. Nishikawa T., Motter A.E., Lai Y.C., Hoppensteadt F.C. Heterogeneity in oscillator networks: are smaller worlds easier to synchronize?. Phys. Rev. Lett. 2003, 014101:91.
40. Ponten S.C., Bartolomei F., Stam C.J. Small-world networks and epilepsy: graph theoretical analysis of intracerebrally recorded mesial temporal lobe seizures. Clin. Neurophysiol. 2007, 118:918-927.
41. Posthuma D., de Geus E.J.C., Mulder E.J.C.M., Smit D.J.A., Boomsma D.I., Stam C.J. Genetic components of functional connectivity in the brain: the heritability of synchronization likelihood. Hum. Brain Mapp. 2005, 26:191-198.
42. Reijneveld J.C., Ponten S.C., Berendse H.W., Stam C.J. The application of graph theoretical analysis to complex networks in the brain. Clin. Neurophysiol 2007, 118:2317-2331.
43. Robinson P.A., Rennie C.J., Rowe D.L., O'Connor S.C., Gordon E. Multiscale brain modelling. Philos. Trans. R. Soc. Lond B Biol. Sci. 2005, 360:1043-1050.
44. Rosenblum M.G., Pikovsky A.S., Kurths J. Phase synchronization of chaotic oscillators. Phys. Rev. Lett. 1996, 76:1804-1807.
45. Rubinov M., Sporns O., van Leeuwen C., Breakspear M. Symbiotic relationship between brain structure and dynamics. BMC Neuroscience 2009, 10:55. 10.1186/1471-2202-10-55.
46. Schnitzler A., Gross J. Normal and pathological oscillatory communication in the brain. Nat. Rev. Neurosci. 2005, 6:285-296.
47. Schuuring, D., 1988. Modelleren en simuleren van epileptische aktiviteit, Master thesis communicatietechniek, Informatie en Systeemtheorie, technische Universiteit Twente [dissertation].
48. Smit D.J.A., Stam C.J., Posthuma D., Boomsma D.I., Geus de E.J.C. Heritability of "small-world" networks in the brain: a graph theoretical analysis of resting-state EEG functional connectivity. Hum. Brain Mapp. 2007, 29:1368-1378.
49. Sotero R.C., Trujillo-Barreto N.J., Iturria-Medina Y., Carbonell F., Jimenez J.C. Realistically coupled neural mass models can generate EEG rhythms. Neural Comput 2007, 19:478-512.
50. Sporns O., Zwi J.D. The small world of the cerebral cortex. Neuroinformatics 2004, 2:145-162.
51. Sporns O., Tononi G., Edelman G.M. Connectivity and complexity: the relationship between neuroanatomy and brain dynamics. Neural Netw. 2000, 13:909-922.
52. Stam C.J., Pijn J.P., Suffczynski P., Lopes da Silva F.H. Dynamics of the human alpha rhythm: evidence for non-linearity?. Clin. Neurophysiol. 1999, 110:1801-1813.
53. Stam C.J., Vliegen J.H., Nicolai J. Investigation of the dynamics underlying periodic complexes in the EEG. Biol. Cybern. 1999, 80:57-69.
54. Stam C.J., Breakspear M., van Cappellen A.M., van Dijk B.W. Nonlinear synchronization in EEG and whole-head MEG recordings of healthy subjects. Hum. Brain Mapp. 2003, 19:63-78.
55. Stam C.J., Montez T., Jones B.F., Rombouts S.A., van der, Made Y., Pijnenburg Y.A., Scheltens P. Disturbed fluctuations of resting state EEG synchronization in Alzheimer's disease. Clin. Neurophysiol. 2005, 116:708-715.
56. Stam C.J., Jones B.F., Nolte G., Breakspear M., Scheltens P. Small-world networks and functional connectivity in Alzheimer's disease. Cereb. Cortex 2007, 17:92-99.
57. Stam C.J., Nolte G., Daffertshofer A. Phase lag index: assessment of functional connectivity from multi channel EEG and MEG with diminished bias from common sources. Hum. Brain Mapp. 2007, 28:1178-1193.
58. Stam C.J., de Haan W., Daffertshofer A., Jones B.F., Manshanden I., van Cappellen A.M., Montez T., Verbunt J.P., de Munck J.C., van Dijk B.W., Berendse H.W., Scheltens P. Graph theoretical analysis of magnetoencephalographic functional connectivity in Alzheimer's disease. Brain 2008, 132:213-224.
59. Stephan K.E., Hilgetag C.C., Burns G.A., O'Neill M.A., Young M.P., Kötter R. Computational analysis of functional connectivity between areas of primate cerebral cortex. Philos. Trans. R. Soc. Lond B Biol. Sci. 2000, 355:111-126.
60. Stephan K.E., Riera J.J., Deco G., Horwitz B. The Brain Connectivity Workshops: moving the frontiers of computational systems neuroscience. Neuroimage 2008, 42:1-9.
61. Uhlhaas P.J., Singer W. Neural synchrony in brain disorders: relevance for cognitive dysfunctions and pathophysiology. Neuron 2006, 52:155-168.
62. Ursino M., Zavaglia M., Astolfi L., Babiloni F. Use of a neural mass model for the analysis of effective connectivity among cortical regions based on high resolution EEG recordings. Biol. Cybern. 2007, 96:351-365.
63. Valdes P.A., Jimenez J.C., Riera J., Biscay R., Ozaki T. Nonlinear EEG analysis based on a neural mass model. Biol. Cybern. 1999, 81:415-424.
64. van Wijk, B.C.M., Stam, C.J., Beek, P.J., Daffertshofer, A., in preparation. How to compare graph-measures between networks of different size and density?
65. van Rotterdam A., Lopes da Silva F.H., van den E.J., Viergever M.A., Hermans A.J. A model of the spatial-temporal characteristics of the alpha rhythm. Bull. Math. Biol. 1982, 44:283-305.
66. van Vreeswijk C. Analysis of the asynchronous state in networks of strongly coupled oscillators. Physical Review Letters 2000, 84:5110-5113.
67. Varela F., Lachaux J.P., Rodriguez E., Martinerie J. The brainweb: phase synchronization and large-scale integration. Nat. Rev. Neurosci. 2001, 2:229-239.
68. Wang X.F., Chen G. Complex networks: small-world, scale-free and beyond. IEEE Circuits and systems magazine 2003, 6-20.
69. Watts D.J., Strogatz S.H. Collective dynamics of 'small-world' networks. Nature 1998, 393:440-442.
70. Wendling F., Bartolomei F., Bellanger J.J., Chauvel P. Interpretation of interdependencies in epileptic signals using a macroscopic physiological model of the EEG. Clin. Neurophysiol. 2001, 112:1201-1218.
71. Wendling F., Hernandez A., Bellanger J.J., Chauvel P., Bartolomei F. Interictal to ictal transition in human temporal lobe epilepsy: insights from a computational model of intracerebral EEG. J Clin. Neurophysiol. 2005, 22:343-356.
72. Wilson H.R., Cowan J.D. Excitatory and inhibitory interactions in localized populations of model neurons. Biophys. J. 1972, 12:1-24.
73. Yu S., Huang D., Singer W., Nikolic D. A small world of neuronal synchrony. Cereb. Cortex 2008, 18:2891-2901.
74. Zetterberg L.H., Kristiansson L., Mossberg K. Performance of a model for a local neuron population. Biol. Cybern. 1978, 31:15-26.
75. Zhou C., Zemanova L., Zamora G., Hilgetag C.C., Kurths J. Hierarchical organization unveiled by functional connectivity in complex brain networks. Phys. Rev. Lett. 2006, 238103:97.
76. Zhou C.S., Zemanova L., Zamora-Lopez G., Hilgetag C.C., Kurths J. Structure-function relationship in complex brain networks expressed by hierarchical synchronization. New Journal of Physics 2007, 9:1-21.