Emergence of modular structure in a large-scale brain network with interactions between dynamics and connectivity

Frontiers in Computational Neuroscience

Volumn 4, Issue , 2010, Pages

  Stam, Cornelis J ^a   Hillebrand, Arjan ^a   Wang, Huijuan ^a   Van Mieghem, Piet ^b  

^a VU UNIVERSITY MEDICAL CENTER   (Netherlands)

^b DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Complex brain networks; Development; Graph theory; Lesion; Modularity; Plasticity; Small world networks; Synchronization

Indexed keywords

BRAIN NETWORKS; DEVELOPMENT; LESION; MODULARITY; SMALL WORLD NETWORKS; CONNECTION STRENGTH; HOMEOSTATIC PROCESS; INHIBITORY NEURONS; NETWORK STRUCTURES;

DYNAMICS; GRAPH THEORY; PLASTICITY; SYNCHRONIZATION; CURRICULA; SMALL-WORLD NETWORKS;

CURRICULA; COMPLEX NETWORKS;

ARTICLE; ARTIFICIAL NEURAL NETWORK; CELL POPULATION; CELL SYNCHRONIZATION; ELECTROENCEPHALOGRAPHY; MAGNETOENCEPHALOGRAPHY; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; NERVE CELL INHIBITION; NERVE CELL MEMBRANE POTENTIAL; NERVE CELL PLASTICITY; NERVE EXCITABILITY; NEUROMODULATION; SIGNAL TRANSDUCTION;

EID: 84870446320     PISSN: 16625188     EISSN: None     Source Type: Journal    
DOI: 10.3389/fncom.2010.00133     Document Type: Article

References (53)

1. Abbott, L. F., and Nelson, S. B. (2000). Synaptic plasticity: taming the beast. Nat. Neurosci. 3(Suppl.), 1178-1183.
2. Alstott, J., Breakspear, M., Hagmann, P., Cammoun, L., and Sporns, O. (2009). Modeling the impact of lesions in the human brain. PLoS Comput. Biol. 5, e1000408. doi: 10.1371/journal.pcbi.1000408.
3. Aoki, T., and Aoyagi, T. (2009). Co-evolution of phases and connection strengths in a network of phase oscillators. Phys. Rev. Lett. 102, 034101.
4. 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., and Stam, C. J. (2006a). How do brain tumors alter functional connectivity? A magnetoencephalography study. Ann. Neurol. 59, 128-138.
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., and Stam, C. J. (2006b). Disturbed functional connectivity in brain tumour patients: evaluation by graph analysis of synchronization matrices. Clin. Neurophysiol. 117, 2039-2049.
6. Bettencourt, L. M. A., Stephens, G. J., Ham, M. I., and Gross, G. W. (2007). Functional structure of cortical neuronal networks grown in vitro. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 75, 021915.
7. Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., and Hwang, D.-U. (2006). Complex networks: structure and dynamics. Phys. Rep. 424, 175-308.
8. Bonifazi, P., Goldin, M., Picardo, M. A., Jorguera, L., Cattani, A., Bianconi, G., Represa, A., Ben-Ari, Y., and Cossart, R. (2009). GABAergic hub neurons orchestrate synchrony in developing hippocampal networks. Science 326, 1419-1426.
9. Bosma, I., Reijneveld, J. C., Klein, M., Douw, L., van Dijk, B. W., Heimans, J. J., and Stam, C. J. (2009). Disturbed functional brain networks and neurocognitive function in low-grade glioma patients: a graph theoretical analysis of resting-state MEG. Nonlin. Biomed. Phys. 3, 9. doi: 10.1186/1753-4631-3-9.
10. Bullmore, E., and Sporns, O. (2009). Complex brain networks: graph theoretical analysis of structural and functional systems. Nat. Rev. Neurosci. 10, 186-198.
11. Butz, M., Wörgötter, F., and van Ooyen, A. (2009a). Activity-dependent structural plasticity. Brain Res. Rev. 60, 287-305.
12. Butz, M., van Ooyen, A., and Worgotter, F. (2009b). A model for cortical rewiring following deafferentation and focal stroke. Front. Comput. Neurosci. 3:10. doi: 10.3389/neuro.10.010.2009.
13. de Arcangelis, L., and Herrmann, H. J. (2010). Learning as a phenomenon occurring in a critical state. Proc. Natl. Acad. Sci. U.S.A. 107, 3977-3981.
14. Douw, L., Baayen, H., Bosma, I., Klein, M., Vandertop, P., Heimans, J., Stam, K., de Munck, J., and Reijneveld, J. (2008). Treatment-related changes in functional connectivity in brain tumor patients: a magnetoencephalography study. Exp. Neurol. 212, 285-290.
15. Fuchs, E., Ayali, A., Ben-Jacob, E., and Boccaletti, S. (2009). The formation of synchronization cliques during the development of modular neural networks. Phys. Biol. 6, 036018.
16. Grindrod, P., and Higham, D. J. (2009). Evolving graphs: dynamical models, inverse problems and propagation. Proc. R. Soc. Lond. A Math. Phys. Sci. doi: 10.1098/rspa.2009.0456[3133].
17. Guimera, R., and Nunes Amaral, L. A. (2005). Functional cartography of complex metabolic networks. Nature 433, 895-900.
18. Hagmann, P., Cammoun, L., Gigandet, X., Meuli, R., Honey, C. J., and van Wedeen, J. (2008). Mapping the structural core of human cerebral cortex. PLoS Biol. 6, e159. doi: 10.1371/journal.pbio.0060159.
19. Honey, C. J., Kotter, R., Breakspear, M., and Sporns, O. (2007). Network structure of cerebral cortex shapes functional connectivity on multiple time scales. Proc. Natl. Acad. Sci. U.S.A. 104, 10240-10245.
20. Honey, C. J., and Sporns, O. (2008). Dynamical consequences of lesions in cortical networks. Hum. Brain Mapp. 29, 802-809.
21. Honey, C. J., Sporns, O., Cammoun, L., Gigandet, X., Thiran, J. P., Meuli, R., and Hagmann, P. (2009). Predicting human resting-state functional connectivity from structural connectivity. Proc. Natl. Acad. Sci. U.S.A. 106, 2035-2040.
22. Jun, J. K., and Jin, D. Z. (2007). Development of neural circuitry for precise temporal sequences through spontaneous activity, axon remodeling, and synaptic plasticity. PLoS ONE 8, e723. doi: 10.1371/journal.pone.0000723.
23. Kaiser, M., and Hilgetag, C. C. (2004). Spatial growth of real-world networks. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 69, 036103.
24. Kaiser, M., and Hilgetag, C. C. (2007). Development of multi-cluster cortical networks by time windows for spatial growth. Neurocomputing 70, 1829-1832.
25. Kaiser, M., Hilgetag, C. C., and van Ooyen, A. (2009). A simple rule for axon outgrowth and synaptic competition generates realistic connection lengths and filling fractions. Cereb. Cortex 19, 3001-3010.
26. Kinouchi, O., and Copelli, M. (2007). Optimal dynamical range of excitable networks at criticality. Nat. Phys. 2, 348-352.
27. Leung, C. C., and Chau, H. F. (2007). Weighted assortative and disassortative networks model. Physica A 378, 591-602.
28. Levina, A., Herrmann, J. M., and Geisel, T. (2007). Dynamical synapses causing self-organized criticality in neural networks. Nat. Phys. 3, 857-860.
29. Li, Y., Liu, Y., Li, J., Qin, W., Li, K., Yu C., and Jiang, T. (2009). Brain anatomical network and intelligence. PloS Comput. Biol. 5, e1000395. doi: 10.1371/journal.pcbi.1000395.
30. Lopes da Silva, F. H., Hoeks, A., Smits, A., and Zetterberg, L. H. (1974). Model of brain rhythmic activity. Kybernetik 15, 27-37.
31. Nakamura, T., Hillary, F. G., and Biswal, B. B. (2009). Resting Network plasticity following brain injury. PLoS ONE 4, e8220. doi: 10.1371/journal.pone.0008220.
32. Ponten, S. C., Daffertshofer, A., Hillebrand, A., and Stam, C. J. (2010). The relationship between structural and functional connectivity: graph theoretical analysis of an EEG neural mass model. Neuroimage 52, 985-994.
33. Reijneveld, J. C., Ponten, S. C., Berendse, H. W., and Stam, C. J. (2007). The application of graph theoretical analysis to complex networks in the brain. Clin Neurophysiol 118, 2317-2331.
34. Rubinov, M., McIntosh, A. R., Valenzuela, M. J., and Breakspear, M. (2009a). Simulation of neuronal death and network recovery in a computational model of distributed cortical activity. Am. J. Geriatr. Psychiatry 17, 210-217.
35. Rubinov, M., Sporns, O., van Leeuwen, C., and Breakspear, M. (2009b). Symbiotic relationship between brain structure and dynamics. BMC Neurosci. 10, 55.
36. Schuuring, D. (1988). Modelleren en simuleren van epileptische activiteit. Masters thesis, Rapport 080 DV-8807, communicatietechniek, Informatie en Systeemtheorie, technische Universiteit Twente.
37. Sendina-Nadal, I., Buldu, J. M., Leyva, I., and Boccaletti, S. (2008). Phase locking induces scale-free topologies in networks of coupled oscillators. PLoS ONE 3, e2644. doi: 10.1371/journal.pone.0002644.
38. Shin, Ch-W., and Kim, S. (2006). Self-organized criticality and scale-free properties in emergent functional neural networks. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74, 045101.
39. Siri, B., Quoy, M., Delord, B., Cessac, B., and Berry, H. (2007). Effects of Hebbian learning on the dynamics and structure of random networks with inhibitory and excitatory neurons. J. Physiol. Paris 101, 136-148.
40. Smit, D. J. A., Boersma, M., van Beijsterveldt, C. E. M., Posthuma, D., Boomsma, D. I., Stam, C. J., and de Geus, E. J. C. (2010). Endophenotypes in a dynamically connected brain. Behav. Genet. 40, 167-177.
41. Smit, D. J. A., Stam, C. J., Posthuma, D., Boomsma, D. I., and de Geus, E. (2008). Heritability of 'small-world' networks in the brain: a graph theoretical analysis of resting-state EEG functional connectivity. Hum. Brain Mapp. 29, 1368-1378.
42. Song, S., Miller, K. D., and Abbott, L. F. (2000). Competitive Hebbian learning through spike-timing-dependent synaptic plasticity. Nat. Neurosci. 3, 919-926.
43. Sporns, O., Chialvo, D. R., Kaiser, M., and Hilgetag, C. C. (2004). Organization, development and function of complex brain networks. Trends Cogn. Sci. 8, 418-425.
44. Srinivas, K. V., Jain, R., Saurav, S., and Sikdar, S. K. (2007). Small-word network topology of hippocampal neuronal network is lost, in an in vitro glutamate injury model of epilepsy. Eur. J. Neurosci. 25, 3276-3286.
45. Stam, C. J., de Haan, W., Daffertshofer, A., Jones, B. F., Manshanden, I., van Cappellen van Walsum, A. M., Montez, T., Verbunt, J. P. A., de Munck, J. C., van Dijk, B. W., Berendse, H. W., and Scheltens, P. (2009). Graph theoretical analysis of magnetoencephalographic functional connectivity in Alzheimer's disease. Brain 132, 213-224.
46. Stam, C. J., Pijn, J. P. M., Suffczynski, P., and Lopes da Silva, F. H. (1999). Dynamics of the human alpha rhythm: evidence for non-linearity? Clin. Neurophysiol. 110, 1801-1813.
47. Stam, C. J., and Reijneveld, J. C. (2007). Graph theoretical analysis of complex networks in the brain. Nonlin. Biomed. Phys. 1, 3. doi: 10.1186/1753-4631-1-3.
48. Ursino, M., Zavaaglia, M., Astolfi, L., and Babiloni, F. (2007). Use of a neural mass model for the analysis of effective connectivity among cortical regions based on high resolution EEG recordings. Biol. Cybern. 96, 351-365.
49. van den Berg, D., and van Leeuwen, C. (2004). Adaptive rewiring in chaotic networks renders small-world connectivity with consistent clusters. Europhys. Lett. 65, 459-464.
50. Van den Heuvel, M. P., Stam, C. J., Kahn, R. S., and Hulshoff Pol, H. E. (2009). Efficiency of functional brain networks and intellectural performance. J. Neurosci. 29, 7620-7625.
51. Yu, S., Huang, D., Singer, W., and Nikolic, D. (2008). A small world of neuronal synchrony. Cereb. Cortex 18, 2891-2901.
52. Zetterberg, L. H., Kristiansson, L., and Mossberg, K. (1978). Performance of a model for a local Neuron population. Biol. Cybern. 31, 15-26.
53. Zhou, C., Zemanova, L., Zamora-Lopez, G., Hilgetag, C., and Kurths, J. (2007). Structure-function relationship I complex brain networks expressed by hierarchical synchronization. New J. Phys. 9, 178.