A small world of neuronal synchrony

Cerebral Cortex

Volumn 18, Issue 12, 2008, Pages 2891-2901

  Yu, Shan ^a   Huang, Debin ^a,b   Singer, Wolf ^a,c   Nikolić, Danko ^a,c  

^a MAX PLANCK INSTITUTE FOR BRAIN RESEARCH   (Germany)

^b SHANGHAI UNIVERSITY   (China)

^c FRANKFURT INSTITUTE FOR ADVANCED STUDIES   (Germany)

Author keywords

Ising model; Maximum entropy; Orientation selectivity; Parallel recording; Scale free; Visual cortex

Indexed keywords

ANIMAL EXPERIMENT; ARTICLE; BRAIN CELL; CAT; ENTROPY; NONHUMAN; PRIORITY JOURNAL; RELIABILITY; SIMULATION; STIMULUS RESPONSE; VISUAL CORTEX; VISUAL STIMULATION;

ANIMALS; BRAIN; CATS; CEREBRAL CORTEX; CRANIOTOMY; ELECTROCARDIOGRAPHY; ELECTROENCEPHALOGRAPHY; ENTROPY; EVOKED POTENTIALS; NERVE NET; NEURONS; ORIENTATION; THINKING; VISUAL PERCEPTION;

EID: 56449124586     PISSN: 10473211     EISSN: 14602199     Source Type: Journal    
DOI: 10.1093/cercor/bhn047     Document Type: Article

References (54)

1. Achard S, Bullmore E. 2007. Efficiency and cost of economical brain functional networks. PLoS Comput Biol. 3(2):e17.
2. Achard S, Salvador R, Whitcher B, Suckling J, Bullmore E. 2006. A resilient, low-frequency, small-world human brain functional network with highly connected association cortical hubs. J Neurosci. 26(1):63-72.
3. Albert R, Jeong H, Barabasi AL. 2000. Error and attack tolerance of complex networks. Nature. 406(6794):378-382.
4. Amaral LAN, Scala A, Barthelemy M, Stanley HE. 2000. Classes of small-world networks. Proc Natl Acad Sci USA. 97(21):11149-11152.
5. Barabasi AL, Albert R. 1999. Emergence of scaling in random networks. Science. 286(5439):509-512.
6. Barrat A, Barthelemy M, Pastor-Satorras R, Vespignani A. 2004. The architecture of complex weighted networks. Proc Natl Acad Sci USA. 101(11):3747-3752.
7. Bassett DS, Bullmore E. 2006. Small-world brain networks. Neuroscientist. 12(6):512-523.
8. Bassett DS, Meyer-Lindenberg A, Achard S, Duke T, Bullmore E. 2006. Adaptive reconfiguration of fractal small-world human brain functional networks. Proc Natl Acad Sci USA. 103(51):19518-19523.
9. Bettencourt LMA, Stephens GJ, Ham MI, Gross GW. 2007. Functional structure of cortical neuronal networks grown in vitro. Phys Rev E Stat Nonlin Soft Matter Phys. 75(2):021915.
10. Biederlack J, Castelo-Branco M, Neuenschwander S, Wheeler DW, Singer W, Nikolić D. 2006. Brightness induction: rate enhancement and neuronal synchronization as complementary codes. Neuron. 52(6):1073-1083.
11. Boccaletti S, Latora V, Moreno Y, Chavez M, Hwang DU. 2006. Complex networks: structure and dynamics. Phys Rep. 424(4-5):175-308.
12. Castelo-Branco M, Neuenschwander S, Singer W. 1998. Synchronization of visual responses between the cortex, lateral geniculate nucleus, and retina in the anesthetized cat. J Neurosci. 18(16):6395-6410.
13. Cowan JD, Friedman AE. 1990. Simple spin models for the development of ocular dominance columns and iso-orientation patches. In: Lippmann RP, Moody JE, Touretzky DS, editors. Proceedings of the 1990 Conference on Advances in Neural information Processing Systems 3. San Francisco: Morgan Kaufmann Publishers. p. 26-31.
14. Dan Y, Alonso JM, Usrey WM, Reid RC. 1998. Coding of visual information by precisely correlated spikes in the lateral geniculate nucleus. Nat Neurosci. 1(6):501-507.
15. Eguiluz VM, Chialvo DR, Cecchi GA, Baliki M, Apkarian AV. 2005. Scale-free brain functional networks. Phys Rev Lett. 94(1):018102.
16. Ferster D, Miller KD. 2000. Neural mechanisms of orientation selectivity in the visual cortex. Annu Rev Neurosci. 23:441-471.
17. Fingelkurts AA, Fingelkurts AA, Kahkonen S. 2005. Functional connectivity in the brain - is it an elusive concept? Neurosci Biobehav Rev. 28(8):827-836.
18. Fries P. 2005. A mechanism for cognitive dynamics: neuronal communication through neuronal coherence. Trends Cogn Sci. 9(10):474-480.
19. Fries P, Nikolić D, Singer W. 2007. The gamma cycle. Trends Neurosci. 30(7):309-316.
20. Fries P, Roelfsema PR, Engel AK, Konig P, Singer W. 1997. Synchronization of oscillatory responses in visual cortex correlates with perception in interocular rivalry. Proc Natl Acad Sci USA. 94(23):12699-12704.
21. Gray CM. 1999. The temporal correlation hypothesis of visual feature integration: still alive and well. Neuron. 24(1):31-47.
22. Gray CM, Konig P, Engel AK, Singer W. 1989. Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature. 338(6213):334-337.
23. Gray CM, Singer W. 1989. Stimulus-specific neuronal oscillations in orientation columns of cat visual cortex. Proc Natl Acad Sci USA. 86(5):1698-1702.
24. He Y, Chen ZJ, Evans AC. 2007. Small-world anatomical networks in the human brain revealed by cortical thickness from MRI. Cereb Cortex. 17(10):2407-2419.
25. Hilgetag CC, Kaiser M. 2004. Clustered organization of cortical connectivity. Neuroinformatics. 2(3):353-360.
26. Huang D, Pipa G. 2007. Achieving synchronization of networks by an auxiliary hub. Europhys Lett. 77(5):50010.
27. Huang DB. 2005. Simple adaptive-feedback controller for identical chaos synchronization. Phys Rev E. Stat Nonlin Soft Matter Phys. E 71(3):037203-037207.
28. Humphries MD, Gurney K, Prescott TJ. 2006. The brainstem reticular formation is a small-world, not scale-free, network. Proc Biol Sci. 273(1585):503-511.
29. Kaiser M, Martin R, Andras P, Young MP. 2007. Simulation of robustness against lesions of cortical networks. Eur J Neurosci. 25(10):3185-3192.
30. Lago-Fernandez LF, Huerta R, Corbacho F, Siguenza JA. 2000. Fast response and temporal coherent oscillations in small-world networks. Phys Rev Lett. 84(12):2758-2761.
31. Leventhal AG, Thompson KG, Liu D, Zhou Y, Ault SJ. 1995. Concomitant sensitivity to orientation, direction, and color of cells in layers 2, 3, and 4 of monkey striate cortex. J Neurosci. 15(3):1808-1818.
32. Lezon TR, Banavar JR, Cieplak M, Maritan A, Fedoroff NV. 2006. Using the principle of entropy maximization to infer genetic interaction networks from gene expression patterns. Proc Natl Acad Sci USA. 103(50):19033-19038.
33. Micheloyannis S, Pachou E, Stam CJ, Breakspear M, Bitsios P, Vourkas M, Erimaki S, Zervakis M. 2006. Small-world networks and disturbed functional connectivity in schizophrenia. Schizophr Res. 87(1-3):60-66.
34. Montoya JM, Sol RV. 2002. Small world patterns in food webs. J Theor Biol. 214(3):405-412.
35. Neuenschwander S, Singer W. 1996. Long-range synchronization of oscillatory light responses in the cat retina and lateral geniculate nucleus. Nature. 379(6567):728-733.
36. Panzeri S, Treves A. 1996. Analytical estimates of limited sampling biases in different information measures. Network Comput Neural Syst. 7(1):87-107.
37. Schmidt KE, Goebel R, Lowel S, Singer W. 1997. The perceptual grouping criterion of colinearity is reflected by anisotropies of connections in the primary visual cortex. Eur J Neurosci. 9(5):1083-1089.
38. Schneidman E, Berry MJ, Segev R, Bialek W. 2006. Weak pairwise correlations imply strongly correlated network states in a neural population. Nature. 440(7087):1007-1012.
39. Schneidman E, Still S, Berry MJ, Bialek W. 2003. Network information and connected correlations. Phys Rev Lett. 91(23):238701.
40. Schnitzer MJ, Meister M. 2003. Multineuronal firing patterns in the signal from eye to brain. Neuron. 37(3):499-511.
41. Shlens J, Field GD, Gauthier JL, Grivich MI, Petrusca D, Sher A, Litke AM, Chichilnisky EJ. 2006. The structure of multi-neuron firing patterns in primate retina. J Neurosci. 26(32):8254-8266.
42. Simard D, Nadeau L, Kroger H. 2005. Fastest learning in small-world neural networks. Phys Lett A. 336(1):8-15.
43. Singer W. 1999. Neuronal synchrony: a versatile code for the definition of relations? Neuron. 24(1):49-65.
44. Sompolinsky H, Shapley R. 1997. New perspectives on the mechanisms for orientation selectivity. Curr Opin Neurobiol. 7:514-522.
45. Sporns O, Chialvo DR, Kaiser M, Hilgetag CC. 2004. Organization, development and function of complex brain networks. Trends Cogn Sci. 8(9):418-425.
46. Sporns O, Tononi G, Edelman GM. 2000. Theoretical neuro-anatomy: relating anatomical and functional connectivity in graphs and cortical connection matrices. Cereb Cortex. 10(2):127-141.
47. Sporns O, Zwi JD. 2004. The small world of the cerebral cortex. Neuroinformatics. 2(2):145-162.
48. Stam CJ. 2004. Functional connectivity patterns of human magneto-encephalographic recordings: a 'small-world' network? Neurosci Lett. 355(1-2):25-28.
49. Stam CJ, Jones BF, Nolte G, Breakspear M, Scheltens P. 2007. Small-world networks and functional connectivity in Alzheimer's disease. Cereb Cortex. 17(1):92-99.
50. Stephan KE, Hilgetag CC, Burns GA, O'Neill MA, Young MP, Kotter R. 2000. Computational analysis of functional connectivity between areas of primate cerebral cortex. Philos Trans R Soc Lond B Biol Sci. 355(1393):111-126.
51. Stumpf MP, Wiuf C, May RM. 2005. Subnets of scale-free networks are not scale-free: sampling properties of networks. Proc Natl Acad Sci USA. 102(12):4221-4224.
52. Tang A, Jackson D, Hobbs J, Chen W, Smith JL, Patel H, Prieto A, Petrusca D, Grivich MI, Sher A, et al. 2008. A maximum entropy model applied to spatial and temporal correlations from cortical networks in vitro. J Neurosci. 28(2):505-518.
53. Toyama K, Kimura M, Tanaka K. 1981. Cross-correlation analysis of interneuronal connectivity incat visual-cortex. J Neurophysiol. 46(2):191-201.
54. Watts DJ, Strogatz SH. 1998. Collective dynamics of 'small-world' networks. Nature. 393(6684):440-442.