A time-series model of phase amplitude cross frequency coupling and comparison of spectral characteristics with neural data

BioMed Research International

Volumn 2015, Issue , 2015, Pages

  Lepage, Kyle Q ^a   Vijayan, Sujith ^a  

^a USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CROSS FREQUENCY COUPLING; HIGH FREQUENCY OSCILLATION; MATHEMATICAL ANALYSIS; NOISE; OSCILLATION; SIMULATION; SPECTROSCOPY; STATISTICS; TIME SERIES ANALYSIS; ARTIFICIAL NEURAL NETWORK; THEORETICAL MODEL;

MODELS, THEORETICAL; NEURAL NETWORKS (COMPUTER); STOCHASTIC PROCESSES;

EID: 84926512736     PISSN: 23146133     EISSN: 23146141     Source Type: Journal    
DOI: 10.1155/2015/140837     Document Type: Article

References (19)

1. C. T. Dickson, G. Biella, and M. De Curtis, "Evidence for spatial modules mediated by temporal synchronization of carbachol-induced gamma rhythm in medial entorhinal cortex," The Journal of Neuroscience, vol. 20, no. 20, pp. 7846-7854, 2000.
2. A. von Stein and J. Sarnthein, "Different frequencies for different scales of cortical integration: from local gamma to long range alpha/theta synchronization," International Journal of Psychophysiology, vol. 38, no. 3, pp. 301-313, 2000.
3. P. Lakatos, A. S. Shah, K. H. Knuth, I. Ulbert, G. Karmos, and C. E. Schroeder, "An oscillatory hierarchy controlling neuronal excitability and stimulus processing in the auditory cortex," Journal of Neurophysiology, vol. 94, no. 3, pp. 1904-1911, 2005.
4. R. T. Canolty, E. Edwards, S. S. Dalal et al., "High gamma power is phase-locked to theta oscillations in human neocortex," Science, vol. 313, no. 5793, pp. 1626-1628, 2006.
5. C. Scheffzük, V. I. Kukushka, A. L. Vyssotski, A. Draguhn, A. B. L. Tort, and J. Brankačk, "Selective coupling between theta phase and neocortical fast gamma oscillations during REM-sleep in mice," PLoS ONE, vol. 6, no. 12, Article ID e28489, 2011.
6. A. B. L. Tort, R. W. Komorowski, J. R. Manns, N. J. Kopell, and H. Eichenbaum, "Theta-gamma coupling increases during the learning of item-context associations," Proceedings of the National Academy of Sciences of the United States of America, vol. 106, no. 49, pp. 20942-20947, 2009.
7. J. J. Chrobak and G. Buzsáki, "Gamma oscillations in the entorhinal cortex of the freely behaving rat," The Journal of Neuroscience, vol. 18, no. 1, pp. 388-398, 1998.
8. A. B. L. Tort, M. A. Kramer, C. Thorn et al., "Dynamic cross-frequency couplings of local field potential oscillations in rat striatum and hippocampus during performance of a T-maze task," Proceedings of the National Academy of Sciences of the United States of America, vol. 105, no. 51, pp. 20517-20522, 2008.
9. B. Voytek, R. T. Canolty, A. Shestyuk, N. E. Crone, J. Parvizi, and R. T. Knight, "Shifts in gamma phase-amplitude coupling frequency from theta to alpha over posterior cortex during visual tasks," Frontiers in Human Neuroscience, vol. 4, article 191, 2010.
10. J. Brankačk, C. Scheffzük, V. I. Kukushka, A. L. Vyssotski, A. B. L. Tort, and A. Draguhn, "Distinct features of fast oscillations in phasic and tonic rapid eye movement sleep," Journal of Sleep Research, vol. 21, no. 6, pp. 630-633, 2012.
11. P. Lakatos, G. Karmos, A. D. Mehta, I. Ulbert, and C. E. Schroeder, "Entrainment of neuronal oscillations as a mechanism of attentional selection," Science, vol. 320, no. 5872, pp. 110-113, 2008.
12. J. E. Lisman and O. Jensen, "The θ-γ neural code," Neuron, vol. 77, no. 6, pp. 1002-1016, 2013.
13. M. B. Priestley, Spectral Analysis and Time Series, Elsevier Academic Press, 1981.
14. D. B. Percival and A. T. Walden, Spectral Analysis for Physical Applications, Cambridge University Press, Cambridge, UK, 1993.
15. D. R. Brillinger, Time Series: Data Analysis and Teory, vol. 36 of Classics in Applied Mathematics, Society for Industrial and Applied Mathematics, Philadelphia, Pa, USA, 2001.
16. L. Isserlis, "On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables," Biometrika, vol. 12, no. 1-2, pp. 134-139, 1918.
17. T. E. Özkurt, "Statistically reliable and fast direct estimation of phase-amplitude cross-frequency coupling," IEEE Transactions on Biomedical Engineering, vol. 59, no. 7, pp. 1943-1950, 2012.
18. W. D. Penny, E. Duzel, K. J. Miller, and J. G. Ojemann, "Thesting for nested oscillation," Journal of Neuroscience Methods, vol. 174, no. 1, pp. 50-61, 2008.
19. M. A. Kramer and U. T. Eden, "Assessment of cross-frequency coupling with confidence using generalized linear models," Journal of Neuroscience Methods, vol. 220, no. 1, pp. 64-74, 2013.