Tutorials and ReviewsNo Access

THE EFFECT OF CORTICO-THALAMIC CONNECTIONS ON THE DIVERSITY OF CORTICAL ACTIVATIONS AS MODELED BY THE ISING MODEL

Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP, Brazil

and

Instituto de Física de São Carlos, Universidade de São Paulo, Caixa Postal 369, 13560-970 São Carlos, SP, Brazil

Instituto Nacional de Ciência e Tecnologia para Sistemas Complexos, Centro Brasileiro de Pesquisa Física, R. Dr. Xavier Sigaud 150, 22290-180 Rio de Janeiro, RJ, Brazil

Search for more papers by this author

https://doi.org/10.1142/S0218127410026502Cited by:1 (Source: Crossref)

Abstract

The influence of the thalamus on the diversity of cortical activations is investigated in terms of the Ising model with respect to progressive levels of cortico-thalamic connectivity. The results show that better diversity is achieved at lower modulation levels, being higher than those obtained with counterpart network models.

Keywords:

References

R. Albert and A. L. Barabási, Rev. Mod. Phys. 74, 47 (2002), DOI: 10.1103/RevModPhys.74.47. Crossref, Web of Science, Google Scholar
A. Arenas, A. Diaz-Guilera and C. J. Perez-Vicente, Phys. Rev. Lett. 96, 114102 (2006), DOI: 10.1103/PhysRevLett.96.114102. Crossref, Web of Science, Google Scholar
A. L. Barabási and R. Albert, Science 286, 509 (1999). Crossref, Web of Science, Google Scholar
S. Boccalettiet al., Phys. Rep. 424, 175 (2006), DOI: 10.1016/j.physrep.2005.10.009. Crossref, Web of Science, Google Scholar
H. Burton and E. M. Kopf, J. Comp. Neurol. 224, 173 (1984), DOI: 10.1002/cne.902240203. Crossref, Web of Science, Google Scholar
G. Buzsákiet al., Trends Neurosci. 27, 186 (2004). Crossref, Web of Science, Google Scholar
L. da F. Costa and O. Sporns, Eur. Phys. J. B 48, 567 (2005). Crossref, Web of Science, Google Scholar
L. da F. Costa and O. Sporns, Appl. Phys. Lett. 89, 013903 (2006). Crossref, Web of Science, Google Scholar
Costa, L. da F., Oliveira, O. N., Jr., Travieso, G., Rodrigues, F. A., Boas, P. R. V., Antiqueira, L., Viana, M. P. & Rocha, L. E. C. da [2007a] "Analyzing and modeling real-world phenomena with complex networks: A survey of applications" , arXiv:0711.3199v3 . Google Scholar
L. da F. Costaet al., Adv. Phys. 56, 167 (2007), DOI: 10.1080/00018730601170527. Crossref, Web of Science, Google Scholar
L. da F. Costa and O. Sporns, Int. J. Bifurcation and Chaos 17, 2387 (2007). Link, Web of Science, Google Scholar
V. M. Eguiluzet al., Phys. Rev. Lett. 94, 018102 (2005), DOI: 10.1103/PhysRevLett.94.018102. Crossref, Web of Science, Google Scholar
P. Erdös and A. Rényi, Publi. Mathematicae 6, 290 (1959). Crossref, Google Scholar
A. Grabowski and R. A. Kosinski, Phys. Stat. Mech. Appl. 361, 651 (2006), DOI: 10.1016/j.physa.2005.06.102. Crossref, Web of Science, Google Scholar
Ising, E. [1924] "Beitrag zur Theorie des Ferro- und Paramagnetismus," PhD thesis (Mathematisch-Naturwissenschaftliche Fakultät der Hamburgischen Universität Hamburg) . Google Scholar
E. R. Kandel , J. H. Schwartz and T. M. Jessell , Essentials of Neural Science and Behavior ( Appleton & Lange , Stamford , 1995 ) . Google Scholar
B. M. McCoy and T. T. Wu , The Two-Dimensional Ising Model ( Harvard University Press , Cambridge , 1973 ) . Crossref, Google Scholar
N. Metropoliset al., J. Chem. Phys. 21, 1087 (1953), DOI: 10.1063/1.1699114. Crossref, Web of Science, Google Scholar
T. I. Netoffet al., J. Neurosci. 24, 8075 (2004), DOI: 10.1523/JNEUROSCI.1509-04.2004. Crossref, Web of Science, Google Scholar
M. E. J. Newman and G. T. Barkema , Monte Carlo Methods in Statistical Physics ( Oxford University Press , Oxford , 2002 ) . Google Scholar
T. Y. Pang and K. Y. Szeto, LNCS 4224 (2006) pp. 1191–1198. Google Scholar
D. Plenz and T. C. Thiagarajan, Trends Neurosci. 30, 101 (2007), DOI: 10.1016/j.tins.2007.01.005. Crossref, Web of Science, Google Scholar
D. Raczkowski and A. C. Rosenquist, J. Neurosci. 3, 1912 (1983). Crossref, Web of Science, Google Scholar
J. W. Scannellet al., Cereb. Cortex 9, 277 (1999), DOI: 10.1093/cercor/9.3.277. Crossref, Web of Science, Google Scholar
E. Schneidmanet al., Nature 440, 1007 (2006), DOI: 10.1038/nature04701. Crossref, Web of Science, Google Scholar
S. W. Son, H. Jeong and J. D. Noh, Eur. Phys. J. B 50, 431 (2006), DOI: 10.1140/epjb/e2006-00155-4. Crossref, Web of Science, Google Scholar
O. Spornset al., Trends Cogn. Sci. 8, 418 (2004), DOI: 10.1016/j.tics.2004.07.008. Crossref, Web of Science, Google Scholar
G. Tononi and G. M. Edelman, Science 282, 1846 (1998), DOI: 10.1126/science.282.5395.1846. Crossref, Web of Science, Google Scholar
F. Varelaet al., Nat. Rev. Neurosci. 2, 229 (2001), DOI: 10.1038/35067550. Crossref, Web of Science, Google Scholar
D. J. Watts and S. H. Strogatz, Nature 393, 440 (1998), DOI: 10.1038/30918. Crossref, Web of Science, Google Scholar
S. Yuet al., Cereb. Cortex 18, 2891 (2008), DOI: 10.1093/cercor/bhn047. Crossref, Web of Science, Google Scholar