Neuronal avalanches in complex networks

References

• Albert, R., Jeong, H., & Barabási, A.-L. (2000). Error and attack tolerance of complex networks.Nature, 406, 378–382.10.1038/35019019
   PubMed Web of Science ®Google Scholar
• de Arcangelis, L., Perrone-Capano, C., & Herrmann, H. J. (2006). Self-organized criticality model for brain plasticity. Physical Review Letters, 96, 028107.10.1103/PhysRevLett.96.028107
   PubMed Web of Science ®Google Scholar
• Bak, P. (1997). How nature works. Oxford: Oxford University Press.
   Google Scholar
• Bak, P., Tang, C., & Wiesenfeld, K. (1988). Self-organized criticality. Physical Review A, 38, 364–374.10.1103/PhysRevA.38.364
   PubMed Web of Science ®Google Scholar
• Barabasi, A.-L., & Albert, R. (1999). Emergence of scaling in random networks. Science, 286, 509–512.
   PubMed Web of Science ®Google Scholar
• Barbieri, R., & Shimono, M. (2012). Criticality in large-scale brain fMRI dynamics unveiled by a novel point process analysis. Networking of Psychophysics, Psychology and Neurophysiology, 61 p.
   Google Scholar
• Beggs, J. M. (2008). The criticality hypothesis: How local cortical networks might optimize information processing. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 366, 329–343.10.1098/rsta.2007.2092
   PubMed Web of Science ®Google Scholar
• Beggs, J., & Plenz, D. (2003). Neuronal avalanches in neocortical circuits. The Journal of Neuroscience, 23, 11167–11177.
   PubMed Web of Science ®Google Scholar
• Beggs, J., & Plenz, D. (2004). Neuronal avalanches are diverse and precise activity patterns that are stable for many hours in cortical slice cultures. Journal of Neuroscience, 24, 5216–5229.10.1523/JNEUROSCI.0540-04.2004
   PubMed Web of Science ®Google Scholar
• Beggs, J., & Timme, N. (2012). Being critical of criticality in the brain. Frontiers in Physiology, 3, 163 p.
   PubMed Web of Science ®Google Scholar
• Bellay, T., Klaus, A., Seshadri, S., & Plenz, D. (2015). eLife, 4, e07224.
   PubMed Web of Science ®Google Scholar
• Bertschinger, N., & Natschläger, T. (2004). Real-time computation at the edge of chaos in recurrent neural networks. Neural Computation, 16, 1413–1436.10.1162/089976604323057443
   PubMed Web of Science ®Google Scholar
• Bornholdt, S., & Rohlf, T. (2000). Topological evolution of dynamical networks: Global criticality from local dynamics. Physical Review Letters, 84, 6114.10.1103/PhysRevLett.84.6114
   PubMed Web of Science ®Google Scholar
• Bornholdt, S., & Röhl, T. (2003). Self-organized critical neural networks. Physical Review E, 67, 066118.10.1103/PhysRevE.67.066118
   Web of Science ®Google Scholar
• Bullmore, E., & Sporns, O. (2009). Complex brain networks: graph theoretical analysis of structural and functional systems. Nature Reviews Neuroscience, 10, 186–198.10.1038/nrn2575
   PubMed Web of Science ®Google Scholar
• Bullmore, E., & Sporns, O. (2012). The economy of brain network organization. Nature Reviews Neuroscience, 13, 336–349.
   PubMed Web of Science ®Google Scholar
• Chialvo, D. R. (2006). Psychophysics: Are our senses critical? Nature Physics, 2, 301–302.10.1038/nphys300
   Web of Science ®Google Scholar
• Clauset, A., Shalizi, C. R., & Newman, M. E. (2009). Power-law distributions in empirical data. SIAM Review, 51, 661–703.10.1137/070710111
   Web of Science ®Google Scholar
• Eurich, C., Herrmann, J., & Ernst, U. (2002). Finite-size effects of avalanche dynamics. Physical Review E, 66, 066137.10.1103/PhysRevE.66.066137
   Web of Science ®Google Scholar
• Friedman, N., Ito, S., Brinkman, B. A., Shimono, M., DeVille, R. L., Dahmen, K. A., … Butler, T. C. (2012). Universal critical dynamics in high resolution neuronal avalanche data. Physical Review Letters, 108, 208102.10.1103/PhysRevLett.108.208102
   PubMed Web of Science ®Google Scholar
• Gross, T., & Blasius, B. (2008). Adaptive coevolutionary networks: A review. Journal of the Royal Society Interface, 5, 259–271.10.1098/rsif.2007.1229
   PubMed Web of Science ®Google Scholar
• Gross, T., & Sayama, H. (2009). Adaptive networks: Theory, models and applications. Berlin: Springer Verlag.10.1007/978-3-642-01284-6
   Google Scholar
• Haldeman, C., & Beggs, J. (2005). Critical branching captures activity in living neural networks and maximizes the number of metastable states. Physical Review Letters, 94, 58101.10.1103/PhysRevLett.94.058101
   Web of Science ®Google Scholar
• van den Heuvel, M. P., & Sporns, O. (2011). Rich-club organization of the human connectome. Journal of Neuroscience, 31, 15775–15786.10.1523/JNEUROSCI.3539-11.2011
   PubMed Web of Science ®Google Scholar
• van den Heuvel, M., Kahn, R., Goni, J., & Sporns, O. (2012). Theories of matter: Infinities and renormalization. Proceedings of the National Academy of Sciences, 109, 11372–11377.10.1073/pnas.1203593109
   PubMed Web of Science ®Google Scholar
• Jensen, H. J. (1998). Self-organized criticality (Vol. 10). Cambridge: Cambridge University Press.10.1017/CBO9780511622717
   Google Scholar
• Kadano, L. P. (2010). Theories of matter: Infinities and renormalization. arXiv preprint arXiv:1002.2985.
   Google Scholar
• Kinouchi, O., & Copelli, M. (2006). Optimal dynamical range of excitable networks at criticality. Nature Physics, 2, 348–351.10.1038/nphys289
   Web of Science ®Google Scholar
• Klaus, A., Yu, S., & Plenz, D. (2011). Statistical analyses support power law distributions found in neuronal avalanches. PLoS ONE, 12.
   Web of Science ®Google Scholar
• Larremore, D. B., Shew, W. L., & Restrepo, J. G. (2011). Predicting criticality and dynamic range in complex networks: Effects of topology. Physical Review Letters, 106, 058101.10.1103/PhysRevLett.106.058101
   PubMed Web of Science ®Google Scholar
• Larremore, D. B., Shew, W. L., & Restrepo, J. G. (2014). Critical dynamics in complex networks. Criticality in Neural Systems, 365–392.
   Google Scholar
• Levina, A., Herrmann, J., & Geisel, T. (2007). Dynamical synapses causing self-organized criticality in neural networks. Nature Physics, 3, 857–860.10.1038/nphys758
   Web of Science ®Google Scholar
• Massobrio, P., de Arcangelis, L., Pasquale, V., Jensen, H. J., & Plenz, D. (2015). Criticality as a signature of healthy neural systems. Frontiers in systems neuroscience, 9, 3 p.
   PubMed Web of Science ®Google Scholar
• Meisel, C., & Gross, T. (2009). Adaptive self-organization in a realistic neural network model. Physical Review E, 80, 061917. doi:10.1103/PhysRevE.80.06191710.1103/PhysRevE.80.061917
   Web of Science ®Google Scholar
• Moretti, P., & Munoz, M. A. (2013). Griffiths phases and the stretching of criticality in brain networks. Nature Communications, 4, 10 p.
   PubMed Web of Science ®Google Scholar
• Pearlmutter, B. A., & Houghton, C. J. (2009). A new hypothesis for sleep: Tuning for criticality. Neural Computation, 21, 1622–1641.10.1162/neco.2009.05-08-787
   PubMed Web of Science ®Google Scholar
• Petermann, T., Thiagarajan, T., Lebedev, M., Nicolelis, M., Chialvo, D., & Plenz, D. (2009). Spontaneous cortical activity in awake monkeys composed of neuronal avalanches. Proceedings of the National Academy of Sciences, 106, 15921–15926.10.1073/pnas.0904089106
   PubMed Web of Science ®Google Scholar
• Priesemann, V., Wibral, M., Valderrama, M., Propper, R., Le Van Quyen, M., Geisel, T., … Munk, M. H. (2014). Spike avalanches in vivo suggest a driven, slightly subcritical brain state. Frontiers in Systems Neuroscience, 8, 17 p.
   PubMedGoogle Scholar
• Rubinov, M., & Sporns, O. (2010). Complex network measures of brain connectivity: Uses and interpretations. NeuroImage, 52, 1059–1069. doi:10.1016/j.neuroimage.2009.10.00310.1016/j.neuroimage.2009.10.003
   PubMed Web of Science ®Google Scholar
• Shew, W. L., Clawson, W. P., Pobst, J., Karimipanah, Y., Wright, N. C., & Wessel, R. (2015). Adaptation to sensory input tunes visual cortex to criticality. Nature Physics, 659–663.
   Web of Science ®Google Scholar
• Shin, C., & Kim, S. (2006). Self-organized criticality and scale-free properties in emergent functional neural networks. Physical Review E, 74, 045101.10.1103/PhysRevE.74.045101
   Web of Science ®Google Scholar
• Song, S., Sjöström, P. J., Reigl, M., Nelson, S., & Chklovskii, D. B. (2005). Highly nonrandom features of synaptic connectivity in local cortical circuits. PLoS Biology, 3, e68.10.1371/journal.pbio.0030068
   PubMed Web of Science ®Google Scholar
• Sornette, D. (2004). Critical phenomena in natural sciences: chaos, fractals, selforganization and disorder: concepts and tools. Springer Science & Business Media.
   Google Scholar
• Sporns, O. (2010). Networks of the Brain. Boston: MIT Press.
   Google Scholar
• Sporns, O., Chialvo, D., Kaiser, M., & Hilgetag, C. (2004). Organization, development and function of complex brain networks. Trends in Cognitive Sciences, 8, 418–425.10.1016/j.tics.2004.07.008
   PubMed Web of Science ®Google Scholar
• Stumpf, M. P., & Porter, M. A. (2012). Critical truths about power laws. Science, 335, 665–666.10.1126/science.1216142
   PubMed Web of Science ®Google Scholar
• Tagliazucchi, E., & Chialvo, D. R. (2011). The collective brain is critical, 14 p. arXiv preprint arXiv:1103.2070.
   Google Scholar
• Touboul, J., & Destexhe, A. (2010). Can power-law scaling and neuronal avalanches arise from stochastic dynamics? PLoS ONE, 5, e8982.10.1371/journal.pone.0008982
   PubMed Web of Science ®Google Scholar
• Watts, D., & Strogatz, S. (1998). Collective dynamics of ‘small-world’ networks. Nature, 393, 440–442.10.1038/30918
   PubMed Web of Science ®Google Scholar
• Yu, S., Huang, D., Singer, W., & Nikolic, D. (2008). A small world of neuronal synchrony. Cerebral Cortex, 18, 2891–2901.10.1093/cercor/bhn047
   PubMed Web of Science ®Google Scholar