Kelly, D. H., 1981. Nonlinear visual responses to ﬂickering sinusoidal gratings. J. Opt. Soc. Am. 71, 1051-1055. Kerr, C. C., Rennie, C. J., Robinson, P. A., 2008. Physiology-based modeling of cortical au-ditory evoked potentials. Biol. Cybern. 98, 171-184. Kim, Y. C., Powers, E. J., 1979. Digital bispectral analysis and its applications to nonlinear wave interactions. IEEE Trans. Plasma Sci. 7, 120-131. Kim, J. W., Roberts, J. A., Robinson, P. A., 2009. Dynamics of epileptic seizures: evolution, spreading, and suppression. J. Theor. Biol. 257, 527-532. Klimesch, W., 1999. EEG alpha and theta oscillations re ﬂect cognitive and memory per-formance: a review and analysis. Brain Res. Rev. 29, 169-195. Klinger, T., Greiner, F., Rohde, A., Piel, A., Koe pke, M. E., 1995. van der Pol behavior of relaxation oscillations in a periodically driven thermionic discharge. Phys. Rev. E 52, 4316-4327. Lehnertz, K., Elger, C. E., 1998. Can epileptic seizures be predicted? Evidence from nonlinear time series analysis of brain electri cal activity. Phys. Rev. Lett. 80, 5019-5022. Liu, Z., Rios, C., Zhang, N., Yang, L., Chen, W., He, B., 2010. Linear and nonlinear relationships between visual stimuli, EEG and BOLD f MRI signals. Neuroimage 50, 1054-1066. Lopes da Silva, F. H., Hoeks, A., Smits, H., Zetterberg, L. H., 1974. Model of brain rhythmic activity. The alpha-rhythm of the thalamus. Kybernetik 15, 27-37. Lopes da Silva, F., Blanes, W., Kalitzin, S. N., Parra, J., Suffczynski, P., Velis, D. N., 2003. Ep-ilepsies as dynamical diseases of brain systems: basic models of the transition be-tween normal and epileptic activity. Epilepsia 44 (Suppl. 12), 72-83. Merkwirth, C., Parlitz, U., Wedekind, I., Engster, D., Lauterborn, W., 2009. Open TSTOOL, http://www. physik3. gwdg. de/tstool/index. html. Moran, R. J., Stephan, K. E., Seidenbecher, T., Pape, H. C., Dolan, R. J., Friston, K. J., 2009. Dy-namic causal models of steady-state responses. Neuroimage 44, 796-811. Müller, M. M., Andersen, S., Trujillo, N. J., Valdés-Sosa, P., Malinowski, P., Hillyard, S. A., 2006. Feature-selective attention enhances color signals in early visual areas of the human brain. Proc. Natl. Acad. Sci. U. S. A. 103, 14250-14254. Muthukumaraswamy, S. D., Singh, K. D., 2008. Spatiotemporal frequency tuning of BOLD and gamma band MEG responses compared in primary visual cortex. Neuroimage40, 1552-1560. Nevado-Holgado, A. J., Marten, F., Richardson, M. P., Terry, J. R., 2012. Characterising the dy-namics of EEG waveforms as the path through parameter space of a neural mass model: application to epilepsy seizure evolution. Neuroimage 59, 2374-2392. Nunez, P. L., 1974. The brain wave equation: a model for the EEG. Math. Biosci. 21, 279-297. Nunez, P. L., 1995. Neocortical Dynamics and Human EEG Rhythms. New York, Oxford. Parkes, L. M., Fries, P., Kerskens, C. M., Norris, D. G., 2004. Reduced BOLD response to pe-riodic visual stimulation. Neuroimage 21, 236-246. Parlitz, U., 1998. Nonlinear time-series analysis. In: Suykens, J. A. K., Vandewalle, J. (Eds. ), Nonlinear Modeling —Advanced Black-Box Techniques. Kluwer Academic, Boston, pp. 209-239. Parra, J., Kalitzin, S. N., Lopes da Silva, F. H., 2005. Photosensitivity and visually induced seizures. Curr. Opin. Neurobiol. 18, 155-159. Pinotsis, D. A., Friston, K. J., 2011. Neural ﬁelds, spectral responses and lateral connec-tions. Neuroimage 55, 39-48. Pinotsis, D. A., Moran, R. J., Friston, K. J., 2012. Dynamic causal modeling with neural ﬁelds. Neuroimage 59, 1261-1274. Porciatti, V., Bonanni, P., Fiorentini, A., Guerrini, R., 2000. Lack of cortical contrast gain control in human photosensitive epilepsy. Nat. Neurosci. 3, 259-263. Press, W. H., Teukolsky, S. A., Vetterling, W. T., Flannery, B. P., 1992. Numerical Recipes in C, 2nd edition. Cambridge, Cambridge. Rager, G., Singer, W., 1998. The response of cat visual cortex to ﬂicker stimuli of vari-able frequency. Eur. J. Neurosci. 10, 1856-1877. Regan, D., 1989. Human Brain Electrophysiology. Elsevier, New York. Roberts, J. A., 2010. Physiologically-Based Modeling of Thalamocortical Dynamics and Stability. Ph. D. thesis. The University of Sydney. Roberts, J. A., Robinson, P. A., 2008. Modeling absence seizure dyamics: implications for basic mechanisms and measurement of thalamocortical and corticothalamic laten-cies. J. Theor. Biol. 253, 189-201. Robinson, P. A., 2007. Visual gamma oscillations: waves, correlations, and other phe-nomena, including comparison with experimental data. Biol. Cybern. 97, 317-335. Robinson, P. A., Rennie, C. J., Wright, J. J., 1997. Propagation and stability of waves of elec-trical activity in the cerebral cortex. Phys. Rev. E 56, 826-840. Robinson, P. A., Rennie, C. J., Wright, J. J., Bourke, P. D., 1998. Steady states and global dy-namics of electrical activity in the cerebral cortex. Phys. Rev. E 58, 3557-3571. Robinson, P. A., Loxley, P. N., O'Connor, S. C., Rennie, C. J., 2001a. Modal analysis of cor-ticothalamic dynamics, electroencephalographic spectra, and evoked potentials. Phys. Rev. E 63, 041909. Robinson, P. A., Rennie, C. J., Wright, J. J., Bahramali, H., Gordon, E., Rowe, D. L., 2001b. Prediction of electroencephalographic spectra from neurophysiology. Phys. Rev. E 63, 021903. Robinson, P. A., Rennie, C. J., Rowe, D. L., 2002. Dynamics of large-scale brain activity in normal arousal states and epileptic seizures. Phys. Rev. E 65, 041924. Robinson, P. A., Rennie, C. J., Rowe, D. L., O'Connor, S. C., 2004. Estimation of multiscale neurophysiologic parameters by electroencephalographic means. Hum. Brain Mapp. 23, 53-72. Robinson, P. A., Chen, P. C., Yang, L., 2008. Physiologically based calculation of steady-state evoked potentials and cortical wave velocities. Biol. Cybern. 98, 1-10. Schwartz, O., Simoncelli, E. P., 2001. Natural signal statistics and sensory gain control. Nat. Neurosci. 4, 819-825. Sherman, S. M., Guillery, R. W., 1996. Functional organization of thalamocortical relays. J. Neurophysiol. 76, 1367-1395. Spiegler, A., Knösche, T. R., Schwab, K., Haueisen, J., Atay, F. M., 2011. Modeling brain res-onance phenomena using a neural mass model. PLo S Comput. Biol. 7, e1002298. Stam, C. J., 2005. Nonlinear dynamics analysis of EEG and MEG: review of an emerging ﬁeld. Clin. Neurophysiol. 116, 2266-2301. Stam, C. J., Pijn, J. P. M., Suffczynski, P., Lopes da Silva, F. H., 1999. Dynamics of the human alpha rhythm: evidence for non-linearity? Clin. Neurophysiol. 110, 1801-1813. Stephan, K. E., Kasper, L., Harrison, L. M., Daunizeau, J., den Ouden, H. E. M., Breakspear, M., Friston, K. J., 2008a. Nonlinear dynamic causal models for f MRI. Neuroimage 42, 649-662. Stephan, K. E., Riera, J. J., Deco, G., Horwitz, B., 2008b. The brain connectivity workshops: moving the frontiers of computational systems neuroscience. Neuroimage 42, 1-9. Steriade, M., Jones, E. H., Mc Cormick, D. A. (Eds. ), 1997. Thalamus, vol. 2. Elsevier, Oxford. Swettenham, J. B., Muthukumaraswamy, S. D., Singh, K. D., 2009. Spectral properties of induced and evoked gamma oscillations in human early visual cortex to moving and stationary stimuli. J. Neurophysiol. 102, 1241-1253. Taylor, P. N., Baier, G., 2011. A spatially extended model for macroscopic spike-wave discharges. J. Comput. Neurosci. 31, 679-684. Townsend, R. E., Lubin, A., Naitoh, P., 1975. Stabilization of alpha frequency by sinusoi-dally modulated light. Electroencephalogr. Clin. Neurophysiol. 39, 515-518. Valdes-Sosa, P. A., Sanchez-Bornot, J. M., Sotero, R. C., Iturria-Medina, Y., Aleman-Gomez, Y., Bosch-Bayard, J., Carbonell, F., Ozaki, T., 2009. Model driven EEG/f MRI fusion of brain oscillations. Hum. Brain Mapp. 30, 2701-2721. van der Tweel, L. H., Spekreijse, H., 1969. Signal transport and recti ﬁcation in the human evoked-response system. Ann. N. Y. Acad. Sci. 156, 678-695. van der Tweel, L. H., Verduyn Lunel, H. F. E., 1965. Human visual responses to sinusoidal-ly modulated light. Electroencephalogr. Clin. Neurophysiol. 18, 587-598. Varela, F., Lachaux, J. P., Rodriguez, E., Martinerie, J., 2001. The brainweb: Phase syn-chronization and large-scale integration. Nat. Rev. Neurosci. 2, 229-239. Vierling-Claassen, D., Siekmeier, P., Stuf ﬂebeam, S., Kopell, N., 2008. Modeling GABA al-terations in schizophrenia: a link between impaired inhibition and altered gamma and beta range auditory entrainment. J. Neurophysiol. 99, 2656-2671. Wendling, F., Bellanger, J. J., Bartolomei, F., Chauvel, P., 2000. Relevance of nonlinear lumped-parameter models in the analysis of depth-EEG epileptic signals. Biol. Cybern. 83, 367-378. Whitham, G. B., 1974. Linear and Nonlinear Waves. Wiley, New York. Wilson, H. R., Cowan, J. D., 1973. A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue. Kybernetik 13, 55-80. Wright, J. J., Liley, D. T. J., 1996. Dynamics of the brain at global and microscopic scales: Neural networks and the EEG. Behav. Brain Sci. 19, 285-320. 1955 J. A. Roberts, P. A. Robinson / Neuro Image 62 (2012) 1947-1955