Ising-like dynamics in large-scale functional brain networks
Brain "rest" is defined-more or less unsuccessfully-as the state in which there is no explicit brain input or output. This work focuses on the question of whether such state can be comparable to any known dynamical state. For that purpose, correlation networks from human brain functional m...
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Otros Autores: | , , |
Formato: | Capítulo de libro |
Lenguaje: | Inglés |
Publicado: |
2009
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Acceso en línea: | Registro en Scopus DOI Handle Registro en la Biblioteca Digital |
Aporte de: | Registro referencial: Solicitar el recurso aquí |
Sumario: | Brain "rest" is defined-more or less unsuccessfully-as the state in which there is no explicit brain input or output. This work focuses on the question of whether such state can be comparable to any known dynamical state. For that purpose, correlation networks from human brain functional magnetic resonance imaging are contrasted with correlation networks extracted from numerical simulations of the Ising model in two dimensions at different temperatures. For the critical temperature Tc, striking similarities appear in the most relevant statistical properties, making the two networks indistinguishable from each other. These results are interpreted here as lending support to the conjecture that the dynamics of the functioning brain is near a critical point. © 2009 The American Physical Society. |
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Bibliografía: | Werner, G., (2007) J. Physiol. (Paris), 101, p. 273 Fox, M.D., Raichle, M.E., (2007) Nat. Rev. Neurosci., 8, p. 700. , 10.1038/nrn2201 Raichle, M.E., MacLeod, A.M., Snyder, A.Z., Powers, W.J., Gusnard, D.A., Shulman, G.L., (2001) Proc. Natl. Acad. Sci. U.S.A., 98, p. 676. , 10.1073/pnas.98.2.676 Raichle, M.E., (2006) Science, 314, p. 1249. , 10.1126/science. 1134405 Greicius, M.D., Krasnow, B., Reiss, A.L., Menon, V., (2003) Proc. Natl. Acad. Sci. U.S.A., 100, p. 253. , 10.1073/pnas.0135058100 Stam, C.J., (2004) Neurosci. Lett., 355, p. 25. , 10.1016/j.neulet.2003.10.063 Van Den Heuvel, M.P., Stam, C.J., Boersma, M., Hulsshoff Pol, H.E., (2008) Neuroimage, 43, p. 528. , 10.1016/j.neuroimage.2008.08.010 Salvador, R., Suckling, J., Coleman, M.R., Pickard, J.D., Menon, D., Bullmore, E.T., (2005) Cereb. Cortex, 15, p. 1332. , 10.1093/cercor/bhi016 Achard, S., Bullmore, E.T., (2007) PLOS Comput. Biol., 3, p. 17. , 10.1371/journal.pcbi.0030017 Eguiluz, V.M., Chialvo, D.R., Cecchi, G.A., Baliki, M., Apkarian, A.V., (2005) Phys. Rev. Lett., 94, p. 018102. , 10.1103/PhysRevLett.94.018102 Hagmann, P., Cammoun, L., Gigandet, X., Meuli, R., Honey, C.J., Wedeen, V.J., Sporns, O., (2008) PLoS Biol., 6, p. 159. , 10.1371/journal.pbio.0060159 Park, C.-H., Kima, S.Y., Kimb, Y.-H., Kimc, K., (2008) Physica A, 387, p. 5958. , 10.1016/j.physa.2008.06.048 Achard, S., Salvador, R., Whitcher, B., Suckling, J., Bullmore, E.T., (2006) J. Neurosci., 26, p. 63. , 10.1523/JNEUROSCI.3874-05.2006 Fox, M.D., Snyder, A.Z., Vincent, J.L., Corbetta, M., Van Essen, D.C., Raichle, M.E., (2005) Proc. Natl. Acad. Sci. U.S.A., 102, p. 9673. , 10.1073/pnas.0504136102 Baliki, M.N., Geha, P.Y., Apkarian, A.V., Chialvo, D.R., (2008) J. Neurosci., 28, p. 1398. , 10.1523/JNEUROSCI.4123-07.2008 Chialvo, D.R., (2004) Physica A, 340, p. 756. , 10.1016/j.physa.2004.05.064 Chialvo, D.R., (2007) Cooperative Behavior in Neutral Systems: Ninth Granda Lectures, 887, p. 1. , AIP Conf. Proc. No. AIP, New York Chialvo, D.R., Balenzuela, P., Fraiman, D., (2008) Collective Dynamics: Topics on Competition and Cooperation in the Biosciences, 1028, p. 28. , AIP Conf. Proc. AIP, New York Vincent, J.L., Patel, G.H., Fox, M.D., Snyder, A.Z., Van Essen, D.C., Corbetta, M., Raichle, M.E., (2007) Nature (London), 447, p. 83. , 10.1038/nature05758 Stam, C.J., Reijneveld, J.C., (2007) Nonlinear Biomed. Phys., 1, p. 3. , 10.1186/1753-4631-1-3 Reijneveld, J.C., Ponten, S.C., Berendse, H.W., Stam, C.J., (2007) Clin. Neurophysiol., 118, p. 2317. , 10.1016/j.clinph.2007.08.010 Ising, E., (1925) Z. Phys., 31, p. 253. , 10.1007/BF02980577 Jezzard, P., Mathews, P., Smith, S.M., (2001) Functional MRI: An Introduction to Methods, , Oxford University Press, New York Metropolis, N., Rosenbluth, A.W., Rosenbluth, M.N., Teller, A.H., Teller, E., (1953) J. Chem. Phys., 21, p. 1087. , 10.1063/1.1699114 Gould, H., Tobochnik, J., (1996) An Introduction to Computer Simulations Methods, , Addison-Wesley, Reading, MA Aleksiejuk, A., Hołyst, J.A., Stauffer, D., (2002) Physica A, 310, p. 260. , 10.1016/S0378-4371(02)00740-9 Dorogovtsev, S.N., Goltsev, A.V., Mendes, J.F.F., (2008) Rev. Mod. Phys., 80, p. 1275. , 10.1103/RevModPhys.80.1275 Bassett, D.S., Meyer-Lindenberg, A., Achard, S., Duke, T., Bullmore, E.T., (2006) Proc. Natl. Acad. Sci. U.S.A., 103, p. 19518. , 10.1073/pnas.0606005103 This is a fundamental brain puzzle, a stability problem that still remains unsolved. Solutions that will work in relatively small, linear, and delayless systems eventually breakdown when realistic delays are added, sizes are scale up, and nonlinear aspects are considered. A quantitative discussion of these issues can be found in page 104 in; Abeles, M., (1991) Corticonics: Neural Circuits of the Cerebral Cortex, , Cambridge University Press, Cambridge Maslov, S., Sneppen, K., Alom, U., (2003) Handbook of Graphs and Networks, , edited by S. Bornholdt and H. G. Schuster (Wiley-VCH, Weinheim Watts, D.J., Strogatz, S.H., (1998) Nature (London), 393, p. 440. , 10.1038/30918 Latora, V., Marchiori, M., (2001) Phys. Rev. Lett., 87, p. 198701. , 10.1103/PhysRevLett.87.198701 Boccaletti, S., Latora, V., Moreno, Y., Chavez, M., Hwang, D.-U., (2006) Phys. Rep., 424, p. 175. , 10.1016/j.physrep.2005.10.009 Bassett, D.S., Bullmore, E.T., (2006) Neuroscientist, 12, p. 512. , 10.1177/1073858406293182 Tsonis, A.A., Swanson, K.L., Wang, G., (2008) Physica A, 387, p. 5287. , 10.1016/j.physa.2008.05.048 Friston, K.J., (1994) Hum. Brain Mapp, 2, p. 56. , 10.1002/hbm.460020107 Horwitz, B., (2003) Neuroimage, 19, p. 466. , 10.1016/S1053-8119(03)00112-5 Sporns, O., Tononi, G., Kotter, R., (2005) PLOS Comput. Biol., 1, p. 42. , 10.1371/journal.pcbi.0010042 Haken, H., (1983) Synergetics: An Introduction, , Springer Series in Synergetics (Springer, Berlin Kelso, J.A.S., (1995) Patterns: The Self-Organization of Brain and Behavior, , MIT, Cambridge, MA Kelso, J.A.S., Tognoli, E., (2007) Neurodynamics of Cognition and Consciousness, , edited by R. Kozma and L. Perlovsky (Springer-Verlag, Berlin Honey, C.J., Kotter, R., Breakspear, M., Sporns, O., (2007) Proc. Natl. Acad. Sci. U.S.A., 104, p. 10240. , 10.1073/pnas.0701519104 Kitzbichler, M.G., Smith, M.L., Christensen, S.R., Bullmore, E., (2009) PLOS Comput. Biol., 5, p. 1000314. , 10.1371/journal.pcbi.1000314 Newman, M.E.J., (2001) Phys. Rev. e, 64, p. 016132. , 10.1103/PhysRevE.64.016132 Newman, M.E.J., (2002) Phys. Rev. Lett., 89, p. 208701. , 10.1103/PhysRevLett.89.208701 http://www.fmrib.ox.ac.uk/fsl |
ISSN: | 15393755 |
DOI: | 10.1103/PhysRevE.79.061922 |