Abstract
Dynamic networking and dynamic networks suggest new ways to transfer information utilizing the long-distance communication through local cooperative interaction. A great deal of recent research has clarified how the global intelligence of a complex network emerges from the local cooperation of elements, whether these elements are neurons or people and emphasizes the role played by critical phase transitions in the observed persistence of this cooperation. This is no where more evident than in the recent research on the cooperative behavior of neurons within the brain.
Essentially, all models are wrong, but some are useful…. George E. P. Box
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Bibliography
M.M. Ali, K.K. Sellers, F. Fröhlich, J. Neurosci. 33, 11262 (2013)
P. Allegrini, P. Paradisi, D. Menicucci, A. Gemignani, in Decision Making: A Psychophysics Application of Network Science, ed. by P. Grigolini, B.J. West. Studies of Nonlinear Phenomena in Life Science, vol. 15 (World Scientific, Hackensack, 2011)
P. Allegrini, D. Menicucci, R. Bedini, L. Fronzoni, A. Gemignani, P. Grigolini, B.J. West, P. Paradisi, Phys. Rev. E 80, 061914 (2009)
G. Aquino, M. Bologna, P. Grigolini, B.J. West, Phys. Rev. Lett. 105, 040601 (2010)
M. Aschwanden, Self-Organized Criticality in Astrophysics: The Statistics of Nonlinear Processes in the Universe (Springer, Berlin, 2011)
M. Aureli, F. Fiorilli, M. Porfiri, Physica D 241, 908–920 (2012)
F. Bailly, G. Longo, Mathematics and the Natural Sciences: The Physical Singularity of Life (Imperial College Press/World Scientific, Singapore, 2011)
P. Bak, C. Tang, K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987)
P. Bak, M. Paczuski, Proc. Natl. Acad. Sci. U.S.A. 92, 6689 (1995)
P. Balenzuela, H. Braun, D.R. Chialvo, Contemp. Phys. 53, 17–38 (2012)
A. Baronchelli, M. Felici, V. Loreto, E. Caglioti, L. Steels, J. Stat. Mech. P06014, 1–12 (2006)
J.M. Beggs, D. Plenz, J. Neurosci. 23, 11167–11177 (2003)
J.M. Beggs, D. Plenz, J. Neurosci. 24, 5216 (2004)
J.M. Beggs, N. Timme, Front. Fractal Physiol. 3, 163 (2012). doi:10.3389/fphys.2012.00163
N. Bellomo, J. Soler, Math. Models Methods Appl. Sci. 22(SUPPL.1), e33588 (2012)
C.H. Bennett, Int. J. Theor. Phys. 21, 905 (1982); Sci. Am. 256, 108 (1987)
M. Buiatti, D. Papo, P.-M. Baudonniére, C. van Vreeswijk, Neuroscience 146, 1400–1412 (2007)
A. Cavagna, A. Cimarelli, I. Giardina, G. Parisi, R. Santagati, F. Stefanini, M. Viale, Proc. Natl. Acad. Sci. U.S.A. 107, 11865 (2010)
D.R. Chialvo, Nat. Phys. 6, 744 (2010)
D.R. Chialvo, in Criticality in Neural Systems, ed. by E. Niebur, D. Plenz, H.G. Shuster (Wiley, New York, 2013)
Y.F. Contoyiannis, F.K. Diakonos, Phys. Lett. A 268, 286 (2000)
Y.F. Contoyiannis, F.K. Diakonos, A. Malakis, Phys. Rev. Lett. 89, 035701 (2002)
L. de Arcangelis, H.J. Hermann, Front. Physiol. 3, 1–9 (2012)
N. Dehghani, N.G. Hatsopoulos, Z.D. Haga, R.A. Parker, B. Greger, E. Halgren, S.S. Cash, A. Destexhe, Front. Physiol. 302 (2012)
A. Fessel, C. Oettmeier, E. Bernitt, N.C. Gauthier, H.-G. Döbereiner, Phys. Rev. Lett. 109, 078103 (2012)
D. Fraiman, P. Balenzuela, J. Foss, D.R. Chialvo, Phys. Rev. E 79, 061922 (2009)
N. Friedman, S. Ito, B.A.W. Brinkman, M. Shimono, R.E. Lee DeVille, K.A. Dahmen, J.M. Beggs, T.C. Butler, Phys. Rev. Lett. 108, 208102 (2012)
E. Geneston, P. Grigolini, in Decision Making: A Psychophysics Application of Network Science, ed. by P. Grigolini, B.J. West (World Scientific, Singapore, 2011)
P. Grigolini, M. Zare, A. Svenkeson, B.J. West, in Criticality in Neural Systems, ed. by E. Niebur, D. Plenz, H.G. Schuster (Wiley, Hoboken, 2013)
G.W. Gross, J. Kowalski, B.K. Rhoades, in Oscillations in Neural Systems, ed. by D.S. Levine, V.R. Brown, V.T. Shirey (Lawrence Erlbaum Associates, Mahwah, NJ, 2000), pp. 3–30 (Pertinent Figure: Fig. 1.9)
S. Grossberg, J. Math. Anal. Appl. 66, 47093 (1978); S. Grossberg, J. Theor. Biol. 73, 10130 (1978); S. Grossberg, Proc. Natl. Acad. Sci. U.S.A. 77, 233842 (1980); S. Grossberg, J. Math. Biol. 4, 23756 (1977)
C. Haldeman, J.M. Beggs, Phys. Rev. Lett. 94, 058101 (2005)
S.L. Hawkins, Front. Physiol. 2, 68 (2011). DOI 10.3389/fphys.2011.00068
B.J. He, J. Neurosci. 31, 13786–13795 (2011)
N.W. Hollingshad, A. Svenkeson, B.J. West, P. Grigolini, Physica A 392, 2302–2310 (2013)
A.K. Kalashyan, M. Buiatti, P. Grigolini, Chaos Solitons Fractals 39, 895–909 (2009)
O. Kinouchi, M. Copelli, Nat. Phys. 2, 348–352 (2006)
M.G. Kitzbichler, M.L. Smith, S.R. Christensen, E. Bullmore, PLoS Comput. Biol. 5, 1 (2009)
A. Klaus, S. Yu, D. Plenz, PLoS ONE 6, 1 (2011)
N. Korabel, E. Barkai, Phys. Rev. Lett. 102, 050601 (2009)
V.P. Koverda, V.N. Skokov, Physica A 390, 2468–2479 (2011)
J. Krause, A.F.T. Winfield, J.-L. Deneubourg, Trends Ecol. Evol. 26, 369–375 (2011)
D.B. Larremore, W.L. Shew, E. Ott, J.G. Restrepo, Chaos 21(2), 025117 (2011)
F. Lombardi, H.J. Herrmann, C. Perrone-Capano, D. Plenz, L. de Arcangelis, Phys. Rev. Lett. 108, 228703 (2012)
V. Loreto, A. Baronchelli, A. Mukherjee, A. Pugliisi, F. Tria, J. Stat. Mech. Theory Exp. P04006, 1–9 (2011)
E. Lovecchio, P. Allegrini, E. Geneston, B.J. West, P. Grigolini, in Criticality in Neural Systems, ed. E. Niebur, D. Plenz, H.G. Schuster (Wiley, Hoboken, 2013)
S.B. Lowen, M.C. Teich, Fractal-Based Point Processes (Wiley, Hoboken, 2005)
M. Luković, M. Ignaccolo, L. Fronzoni, P. Grigolini, Phys. Lett. A 372, 2608–2613 (2007)
M. Luković, P. Grigolini, J. Chem. Phys. 129, 184102 (2008)
T. Mora, W. Bialek, J. Stat. Phys. 144(2), 268–302 (2011)
E. Novikov, A. Novikov, D. Shannahoff-Khalsa, B. Schwartz, J. Wright, Phys. Rev. E 56, R2387 (1997)
M.A. Nowak, R.M. May, Nature 359, 826–829 (1992)
M. Pais-Vieira, M. Lebedev, C. Kunicki, J. Wang, M.A.L. Nicolellis, Sci. Rep. 3, 1319 (2013). doi:10.1038/srep01319
M. Perc, P. Grigolini, Chaos Solitons Fractals 56, 1–5 (2013)
P. Pikovsky, M. Rosenblum, J. Kurths, Synchronization: A Universal Concept in Nonlinear Science (Cambridge University Press, Cambridge, 2003)
D. Plenz, T.C. Thiagarjan, Trends Neurosci. 30, 101 (2007)
S. Rosenfeld, Gene Regul. Syst. Biol. 7, 23–39 (2013)
A.N. Schulman, The New Atlantis: J. Technol. Soc. (Winter) (2009). www.TheNewAtlantis.com
W.L. Shew, H. Yang, S. Yu, R. Roy, D. Plenz, J. Neurosci. 31, 5563 (2011)
W. Singer, The brain-an orchestra without a conductor. Max Planck Res. 3, 15 (2005)
P.E. Smaldino, Chaos Solitons Fractals 56, 6–12 (2013)
J.E.S. Socolar, S.A. Kauman, Phys. Rev. Lett. 90, 4 (2003)
L. Steels, Artif. Life 2, 319 (1995)
A. Svenkeson, M. Bologna, P. Grigolini, Phys. Rev. E 86, 041145 (2012)
G. Szabó, C. Hauert, Phys. Rev. Lett. 89, 118101, (1–4) (2002)
J. Touboul, A. Destexhe, PLoS ONE 5(2), e8982. doi:10.1371/journal.pone.0008982
M. Turalska, B.J. West, P. Grigolini, Phys. Rev. E 83, 061142 (2011)
F. Vanni, M. Luković, P. Grigolini, Phys. Rev. Lett. 107, 1–4, 078103 (2011)
F. Vanni, M. Luković, P. Grigolini, Phys. Rev. Lett. (submitted)
T. Vicsek, A. Czirok, E. Ben-Jacob, I. Cohen, O. Shochet, Phys. Rev. Lett. 75, 1226 (1995)
E.-J. Wagenmakers, H.L.J. van der Massa, S. Farrlee, Top. Cogn. Sci. 4, 87–93 (2012)
Q. Wang, Y. Zheng, J. Ma, Chaos Solitons Fractals 56, 19–27 (2013)
G. Werner, Front. Physiol. 2, 60 (2011)
G. Werner, Chaos Solitons Fractals 55, 3–12 (2013)
B.J. West, P. Grigolini, Complex Webs: Anticipating the Improbable (Cambridge University Press, Cambridge, 2011)
B.J. West, E. Geneston, P. Grigolini, Phys. Rep. 468, 1–99 (2008)
J. Xie, S. Sreenivasan, G. Korniss, W. Zhang, C. Lim, B.K. Szymanski, Phys. Rev. E 84, 011130, 1–8 (2011)
M. Zare, P. Grigolini, Chaos Solitons Fractals 50, 80 (2013)
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West, B.J., Turalska, M., Grigolini, P. (2014). Critical Networks. In: Networks of Echoes. Computational Social Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-04879-6_6
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