Skewed and Long-Tailed Distributions of Spiking Activity in Coupled Network Modules with Log-Normal Synaptic Weight Distribution

1. Bassett, D.S., Sporns, O.: Network neuroscience. Nat. Neurosci. 20(3), 353–364 (2017)

   Article  Google Scholar 

2. Battaglia, F.P., Sutherland, G.R., Cowen, S.L., Mc Naughton, B.L., Harris, K.D.: Firing rate modulation: a simple statistical view of memory trace reactivation. Neural Netw. 18(9), 1280–1291 (2005)

   Article  Google Scholar 

3. Blake, R., Logothetis, N.K.: Visual competition. Nat. Rev. Neurosci. 3(1), 13 (2002)

   Article  Google Scholar 

4. Borsellino, A., De Marco, A., Allazetta, A., Rinesi, S., Bartolini, B.: Reversal time distribution in the perception of visual ambiguous stimuli. Kybernetik 10(3), 139–144 (1972)

   Article  Google Scholar 

5. Bullmore, E., Sporns, O.: Complex brain networks: graph theoretical analysis of structural and functional systems. Nat. Rev. Neurosci. 10(3), 186–198 (2009)

   Article  Google Scholar 

6. Buzsáki, G., Mizuseki, K.: The log-dynamic brain: how skewed distributions affect network operations. Nat. Rev. Neurosci. 15(4), 264–278 (2014)

   Article  Google Scholar 

7. Costa, M., Goldberger, A.L., Peng, C.K.: Multiscale entropy analysis of complex physiologic time series. Phys. Rev. Lett. 89(6), 068102 (2002)

   Article  Google Scholar 

8. Eguiluz, V.M., Chialvo, D.R., Cecchi, G.A., Baliki, M., Apkarian, A.V.: Scale-free brain functional networks. Phys. Rev. Lett. 94(1), 018102 (2005)

   Article  Google Scholar 

9. Fell, J., Kaplan, A., Darkhovsky, B., Röschke, J.: EEG analysis with nonlinear deterministic and stochastic methods: a combined strategy. Acta Neurobiol. Exp. 60(1), 87–108 (1999)

   Google Scholar 

10. Glasser, M.F., et al.: A multi-modal parcellation of human cerebral cortex. Nature 536(7615), 171–178 (2016)

    Article  Google Scholar 

11. Glasser, M.F., et al.: The human connectome project’s neuroimaging approach. Nat. Neurosci. 19(9), 1175–1187 (2016)

    Article  Google Scholar 

12. Hagmann, P., et al.: Mapping the structural core of human cerebral cortex. PLoS Biol. 6(7), e159 (2008)

    Article  Google Scholar 

13. Hagmann, P., et al.: Mapping human whole-brain structural networks with diffusion MRI. PloS One 2(7), e597 (2007)

    Article  Google Scholar 

14. van den Heuvel, M., Mandl, R., Luigjes, J., Pol, H.H.: Microstructural organization of the cingulum tract and the level of default mode functional connectivity. J. Neurosci. 28(43), 10844–10851 (2008)

    Article  Google Scholar 

15. van den Heuvel, M.P., Sporns, O.: Network hubs in the human brain. Trends Cogn. Sci. 17(12), 683–696 (2013)

    Article  Google Scholar 

16. Hirase, H., Leinekugel, X., Czurkó, A., Csicsvari, J., Buzsáki, G.: Firing rates of hippocampal neurons are preserved during subsequent sleep episodes and modified by novel awake experience. Proc. Natl. Acad. Sci. 98(16), 9386–9390 (2001)

    Article  Google Scholar 

17. Hromádka, T., DeWeese, M.R., Zador, A.M.: Sparse representation of sounds in the unanesthetized auditory cortex. PLoS Biol. 6(1), e16 (2008)

    Article  Google Scholar 

18. Kanamaru, T.: Chaotic pattern alternations can reproduce properties of dominance durations in multistable perception. Neural Comput. 29(6), 1696–1720 (2017)

    Article  MathSciNet  Google Scholar 

19. Lefort, S., Tomm, C., Sarria, J.C.F., Petersen, C.C.: The excitatory neuronal network of the C2 barrel column in mouse primary somatosensory cortex. Neuron 61(2), 301–316 (2009)

    Article  Google Scholar 

20. Lehky, S.R.: Binocular rivalry is not chaotic. Proc. R. Soc. Lond. B 259(1354), 71–76 (1995)

    Article  Google Scholar 

21. Levelt, W.J.: Note on the distribution of dominance times in binocular rivalry. Br. J. Psychol. 58(1–2), 143–145 (1967)

    Article  Google Scholar 

22. Mizuseki, K., Buzsáki, G.: Preconfigured, skewed distribution of firing rates in the hippocampus and entorhinal cortex. Cell Rep. 4(5), 1010–1021 (2013)

    Article  Google Scholar 

23. Mizuseki, K., Buzsaki, G.: Theta oscillations decrease spike synchrony in the hippocampus and entorhinal cortex. Phil. Trans. R. Soc. B 369(1635), 20120530 (2014)

    Article  Google Scholar 

24. Nagao, N., Nishimura, H., Matsui, N.: A neural chaos model of multistable perception. Neural Process. Lett. 12(3), 267–276 (2000)

    Article  Google Scholar 

25. O’Connor, D.H., Peron, S.P., Huber, D., Svoboda, K.: Neural activity in barrel cortex underlying vibrissa-based object localization in mice. Neuron 67(6), 1048–1061 (2010)

    Article  Google Scholar 

26. Peyrache, A., et al.: Spatiotemporal dynamics of neocortical excitation and inhibition during human sleep. Proc. Natl. Acad. Sci. 109(5), 1731–1736 (2012)

    Article  Google Scholar 

27. Schreiber, T., Schmitz, A.: Improved surrogate data for nonlinearity tests. Phys. Rev. Lett. 77(4), 635 (1996)

    Article  Google Scholar 

28. Shafi, M., Zhou, Y., Quintana, J., Chow, C., Fuster, J., Bodner, M.: Variability in neuronal activity in primate cortex during working memory tasks. Neuroscience 146(3), 1082–1108 (2007)

    Article  Google Scholar 

29. She, Q., Chen, G., Chan, R.H.: Evaluating the small-world-ness of a sampled network: functional connectivity of entorhinal-hippocampal circuitry. Sci. Rep. 6, 21468 (2016)

    Article  Google Scholar 

30. Song, S., Sjöström, P.J., Reigl, M., Nelson, S., Chklovskii, D.B.: Highly nonrandom features of synaptic connectivity in local cortical circuits. PLoS Biol. 3(3), e68 (2005)

    Article  Google Scholar 

31. Sporns, O.: Contributions and challenges for network models in cognitive neuroscience. Nat. Neurosci. 17(5), 652–660 (2014)

    Article  Google Scholar 

32. Teramae, J.N., Tsubo, Y., Fukai, T.: Optimal spike-based communication in excitable networks with strong-sparse and weak-dense links. Sci. Rep. 2, 485 (2012)

    Article  Google Scholar 

33. Walker, P.: Stochastic properties of binocular rivalry alternations. Percept. Psychophys. 18(6), 467–473 (1975)

    Article  Google Scholar 

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