Noise-induced up/down dynamics in scale-free neuronal networks

International Journal of Bifurcation and Chaos

Volumn 22, Issue 7, 2012, Pages

  Grau Moya, Jordi ^a   Pons, Antonio J ^a   Garcia Ojalvo, Jordi ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

neuronal noise; scale free neuronal networks; Up down states

Indexed keywords

DYNAMICS; NEURONS;

CORTICAL NEURONAL NETWORK; INTEGRATE-AND-FIRE NEURONS; NETWORK NODE; NEURONAL NOISE; RANDOM PERTURBATIONS; SCALE-FREE NEURONAL NETWORKS; SCALE-FREE TOPOLOGIES; UP/DOWN STATE;

NEURAL NETWORKS;

EID: 84864804245     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127412501751     Document Type: Conference Paper

References (51)

1. Balenzuela, P. & García-Ojalvo, J. 2005 "Role of chemical synapses in coupled neurons with noise," Phys. Rev. E 72, 021901.
2. Bazhenov, M., Timofeev, I., Steriade, M. & Sejnowski, T. J. 2002 "Model of thalamocortical slow-wavesleep oscillations and transitions to activated states," J. Neurosci. 22, 8691-8704.
3. Boccaletti, S., Latora, V., Moreno, Y., Chavez, M. & Hwang, D. U. 2006 "Complex networks: Structure and dynamics," Phys. Rep. 424, 175-308.
4. Buldu, J. M., Bajo, R., Maestu, F., Castellanos, N., Leyva, I., Gil, P., Sendiña-Nadal, I., Almendral, J. A., Nevado, A., del Pozo, F. & Boccaletti, S. 2011 "Reorganization of functional networks in mild cognitive impairment," PLoS One 6, e19584.
5. Bullmore, E. & Sporns, O. 2009 "Complex brain networks: Graph theoretical analysis of structural and functional systems," Nat. Rev. Neurosci. 10, 186-198.
6. Busch, H. & Kaiser, F. 2003 "Influence of spatiotemporally correlated noise on structure formation in excitable media," Phys. Rev. E 67, 041105.
7. Castellanos, N. P., Leyva, I., Buldu, J. M., Bajo, R., Paúl, N., Cuesta, P., Ord'oñez, V. E., Pascua, C. L., Boccaletti, S., Maestu, F. & del Pozo, F. 2011 "Principles of recovery from traumatic brain injury: Reorganization of functional networks," Neuroimage 55, 1189-1199.
8. Chialvo, D. R. 2010 "Emergent complex neural dynamics," Nat. Phys. 6, 744-750.
9. Chun-Biao, G., Matjaz, P. & Qing-Yun, W. 2010 "Delay-aided stochastic multiresonances on scalefree FitzHugh-Nagumo neuronal networks," Chinese Phys. B 19, 040508.
10. Compte, A., Sanchez-Vives,M. V., McCormick, D. A. & Wang, X.-J. 2003 "Cellular and network mechanisms of slow oscillatory activity and wave propagations in a cortical network model," J. Neurophysiol. 89, 2707-2725.
11. Cossart, R., Aronov, D. & Yuste, R. 2003 "Attractor dynamics of network up states in the neocortex," Nature 423, 283-288.
12. Cunningham, M. O., Pervouchine, D. D., Racca, C., Kopell, N. J., Davies, C. H., Jones, R. S. G., Traub, R. D. & Whittington, M. A. 2006 "Neuronal metabolism governs cortical network response state," Proc. Natl. Acad. Sci. USA 103, 5597-5601.
13. Destexhe, A. 2009 "Self-sustained asynchronous irregular states and Up-Down states in thalamic, cortical and thalamocortical networks of nonlinear integrateand-fire neurons," J. Comput. Neurosci. 27, 493-506.
14. Eguíluz, V. M., Chialvo, D. R., Cecchi, G. A., Baliki, M. & Apkarian, A. V. 2005 "Scale-free brain functional networks," Phys. Rev. Lett. 94, 018102.
15. García-Ojalvo, J. & Sancho, J. 1999 Noise in Spatially Extended Systems (Springer Verlag).
16. Gerstner, W. & Kistler, W. 2002 Spiking Neuron Models: Single Neurons, Populations, Plasticity (Cambridge University Press, Cambridge).
17. Gong, G., He, Y., Concha, L., Lebel, C., Gross, D. W., Evans, A. C. & Beaulieu, C. 2009 "Mapping anatomical connectivity patterns of human cerebral cortex using in vivo diffusion tensor imaging tractography," Cereb. Cortex 19, 524-536.
18. Gong, Y., Xie, Y., Lin, X., Hao, Y. & Ma, X. 2010 "Ordering chaos and synchronization transitions by chemical delay and coupling on scale-free neuronal networks," Chaos Solit. Fract. 43, 96-103.
19. Gosak, M., Korošak, D. & Marhl, M. 2010 "Optimal network configuration for maximal coherence resonance in excitable systems," Phys. Rev. E 81, 056104.
20. Guye, M., Bettus, G., Bartolomei, F. & Cozzone, P. J. 2010 "Graph theoretical analysis of structural and functional connectivity MRI in normal and pathological brain networks," Magn. Reson. Mater. Phys. 23, 409-421.
21. Hao, Y., Gong, Y. & Lin, X. 2011 "Multiple resonances with time delays and enhancement by non-gaussian noise in Newman-Watts networks of Hodgkin-Huxley neurons," Neurocomputing 74, 1748-1753.
22. Hill, S. & Tononi, G. 2005 "Modeling sleep and wakefulness in the thalamocortical system," J. Neurophysiol. 93, 1671-1698.
23. Humphries, M. D., Gurney, K. & Prescott, T. J. 2006 "The brainstem reticular formation is a small-world, not scale-free, network," Proc. Roy. Soc. B 273, 503-511.
24. Johnson, H. A. & Buonomano, D. V. 2007 "Development and plasticity of spontaneous activity and Up states in cortical organotypic slices," J. Neurosci. 27, 5915-5925.
25. Jung, P. & Mayer-Kress, G. 1995 "Spatiotemporal stochastic resonance in excitable media," Phys. Rev. Lett. 74, 2130-2133.
26. Kaiser,M., Martin, R., Andras, P. & Young, M. P. 2007 "Simulation of robustness against lesions of cortical networks," Eur. J. Neurosci. 25, 3185-3192.
27. Kang, S., Kitano, K. & Fukai, T. 2004 "Self-organized two-state membrane potential transitions in a network of realistically modeled cortical neurons," Neur. Netw. 17, 307-312.
28. Lampl, I., Reichova, I. & Ferster, D. 1999 "Synchronous membrane potential fluctuations in neurons of the cat visual cortex," Neuron. 22, 361-374.
29. Levina, A., Herrmann, J. M. & Geisel, T. 2007 "Dynamical synapses causing self-organized criticality in neural networks," Nat. Phys. 3, 857-860.
30. Lindner, B., Garcia-Ojalvo, J., Neiman, A. & Schimansky-Geier, L. 2004 "Effects of noise in excitable systems," Phys. Rep. 392, 321-424.
31. McDonnell, M. D. &Ward, L. M. 2011 "The benefits of noise in neural systems: Bridging theory and experiment," Nat. Rev. Neurosci. 12, 415-426.
32. Modha, D. S. & Singh, R. 2010 "Network architecture of the long-distance pathways in the macaque brain," Proc. Natl. Acad. Sci. USA 107, 13485-13490.
33. Parga, N. & Abbott, L. F. 2007 "Network model of spontaneous activity exhibiting synchronous transitions between up and down states," Front Neurosci. 1, 57-66.
34. Perc,M. 2005 "Spatial coherence resonance in excitable media," Phys. Rev. E 72, 016207.
35. Perc, M. 2008 "Stochastic resonance on weakly paced scale-free networks," Phys. Rev. E 78, 036105.
36. Petermann, T., Thiagarajan, T. C., Lebedev, M. A., Nicolelis, M. A. L., Chialvo, D. R. & Plenz, D. 2009 "Spontaneous cortical activity in awakemonkeys composed of neuronal avalanches," Proc. Natl. Acad. Sci. USA 106, 15921-15926.
37. Petersen, C. C. H., Hahn, T. T. G., Mehta, M., Grinvald, A. & Sakmann, B. 2003 "Interaction of sensory responses with spontaneous depolarization in layer 2/3 barrel cortex," Proc. Natl. Acad. Sci. USA 100, 13638-13643.
38. Rué, P., Pons, A. J., Domedel-Puig, N. & García-Ojalvo, J. 2010 "Relaxation dynamics and frequency response of a noisy cell signaling network," Chaos 20, 045110.
39. Sanchez-Vives, M. V. & McCormick, D. A. 2000 "Cellular and network mechanisms of rhythmic recurrent activity in neocortex," Nat. Neurosci. 3, 1027-1034.
40. Sporns, O., Chialvo, D. R., Kaiser, M. & Hilgetag, C. C. 2004 "Organization, development and function of complex brain networks," Trends Cogn. Sci. 8, 418-425.
41. Sporns, O. & Zwi, J. D. 2004 "The small world of the cerebral cortex," Neuroinformatics 2, 145-162.
42. Steriade, M., Timofeev, I. & Grenier, F. 2001 "Natural waking and sleep states: A view from inside neocortical neurons," J. Neurophysiol. 85, 1969-1985.
43. Steriade, M. & Timofeev, I. 2003 "Neuronal plasticity in thalamocortical networks during sleep and waking oscillations," Neuron 37, 563-576.
44. Strogatz, S. H. 2001 "Exploring complex networks," Nature 410, 268-276.
45. van den Heuvel,M. P., Stam, C. J., Boersma,M. & Hulshoff Pol, H. E. 2008 "Small-world and scale-free organization of voxel-based resting-state functional connectivity in the human brain," Neuroimag. 43, 528-539.
46. Wang, Q., Perc,M., Duan, Z. & Chen, G. 2009a "Delayinduced multiple stochastic resonances on scale-free neuronal networks," Chaos 19, 023112.
47. Wang, Q., Perc, M., Duan, Z. & Chen, G. 2009b "Synchronization transitions on scale-free neuronal networks due to finite information transmission delays," Phys. Rev. E 80, 026206.
48. Wu, H., Jiang, H. & Hou, Z. 2011 "Spatiotemporal dynamics on small-world neuronal networks: The roles of two types of time-delayed coupling," Chaos Solit. Fract. 44, 836-844.
49. Zalesky, A., Fornito, A., Harding, I. H., Cocchi, L., Yücel, M., Pantelis, C. & Bullmore, E. T. 2010 "Whole-brain anatomical networks: Does the choice of nodes matter?" Neuroimage 50, 970-983.
50. Zamora-Lopez, G., Zhou, C. & Kurths, J. 2009 "Graph analysis of cortical networks reveals complex anatomical communication substrate," Chaos 19, 015117.
51. Zhou, C., Kurths, J. & Hu, B. 2001 "Array-enhanced coherence resonance: Nontrivial effects of heterogeneity and spatial independence of noise," Phys. Rev. Lett. 87, 098101.