Observability issues in networked clocks with applications to epilepsy

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 3527-3532

  O'Sullivan Greene, Elma ^a   Mareels, Iven ^a   Burkitt, Anthony ^a   Kulhmann, Levin ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CLOCKS; ELECTROPHYSIOLOGY; SYNCHRONIZATION;

BRAIN DYNAMICS; BRAIN TISSUE; COUPLED OSCILLATORS; EPILEPTIC SEIZURE PREDICTION; GLOBAL SYNCHRONIZATION; ILL POSED PROBLEM; MEASUREMENTS OF; RESEARCH EFFORTS;

ELECTROENCEPHALOGRAPHY;

EID: 77950826424     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400545     Document Type: Conference Paper

References (25)

1. Y. Kuramoto. Chemical Oscillations, Waves, and Turbulence. Springer-Verlag, New York, 1984.
2. A Stefanovska. Coupled oscillators: Complex but not complicated cardiovascular and brain interactions. Proceedings of 28th IEEE EMBS International Conference, pages 437-440, September 2006.
3. S. Boi, ID Couzin, N. Del Buono, NR Franks, and NF Britton. Coupled oscillators and activity waves in ant colonies. Proceedings of the Royal Society B: Biological Sciences, 266(1417):371, 1999.
4. H. Haken. Brain Dynamics: Synchronization and Activity Patterns in Pulse-coupled Neural Nets with Delays and Noise. Springer, 2002.
5. R.S. Fisher et al. Epileptic seizures and epilepsy. definitions proposed by the ILAE and the IBE. Epilepsia, 46:470-472, 2005.
6. F. Mormann, R. G. Andrzejak, C. E. Elger, and K. Lehnertz. Seizure prediction: the long and winding road. Brain, 130(2):314-333, 2007.
7. ILAE IBE and WHO. Atlas Epilepsy Care in the World 2005: Global Campaign Against Epilepsy. World Health Organization, 2005.
8. C.E. Elger. Future trends in epileptology. Current Opinion in Neurology, 14:185-186, 2001.
9. E. Niedermeyer and R. Lopes Da Silva. Electroencephalography: Basic Principles, Clinical Applications and Related Fields. Lippincott Williams & Wilkins, 5th edition edition, 2005.
10. P.L. Nunez and R. Srinivasan. Electric Fields of the Brain - The neurophysics of EEG. Oxford University Press, 2nd edition, 2006.
11. C.J. Stam. Nonlinear Brain Dynamics. Nova Science Publishers, 1st edition edition, 2006.
12. F. Mormann, T. Kreuz, C. Reike, R. G. Andrzejak, A Kraskov, P. David, C. E. Elger, and K. Lehnertz. On the predictability of epileptic seizures. Clinical Neurophysiology, 116:569-587, 2005.
13. F. Mormann, K. Lehnertz, P. David, and C. E. Elger. Mean phase coherance as a measure for phase synchronisation and its application to the eeg of epileptic patients. Physica D, 114:358-369, 2000.
14. M. Le Van Quyen et al. Preictal state identification by synchronization changes in long-term intracranial eeg recordings. Clinical Neurophysiology, 116:559-568, 2005.
15. F. Takens. Detecting strange attractors in turbulence. In D. A. Rand and L.-S. Young, editors, Dynamical Systems and Turbulence, volume 898 of Lecture Notes in Mathematics, page 366. Springer-Verlag, 1981.
16. D. Aeyels. Generic observability of differentiable systems. SIAM J. Control and optimization, 19(5), 1981.
17. K. Lehnertz and C.E. Elger. Can epileptic seizures be predicted? evidence from nonlinear time series analysis of brain electrical activity. Physical Review Letters, 80(22):5019-5022, 1998.
18. L. D. Iasemidis, J. C. Sackellares, H. P. Zaveri, and W. J. Williams. Phase space topography and yje lyapunov exponent of electrocorticograms in partial seizures. Brain Topography, 2(3):187-201, 1990.
19. J. J. Wright, R. R. Kydd, and G. J. Lees. State-changes in the brain viewed as linear steady-states and non-linear transitions between steady-states. Biological Cybernetics, 53:11-17, 1985.
20. P. Suffczynski, S. Kalitzin, F.L. da Silva, J. Parra, D. Velis, and F. Wendling. Active paradigms of seizure anticipation: Computer model evidence for necessity of stimulation. Phys. Rev. E, 78, 2008.
21. T. Kailath, editor. Linear systems. Information & Science Series. Prentice-Hall, 1980.
22. D Feingold and S Richard. Block diagonally dominant matrices and generalizations of the gerschgorin circle theorm. Pacific Journal of Mathematics, 12(4):1241-1250, 1962.
23. Compumedics. Profusion eeg user guide. ©Compumedics Limited, 30-40 Flockhart Street, Abbotsford 3067, Victoria, 2002.
24. 2 Specifications, 2009.
25. A.C. Antoulas. Approximation of Large-Scale Dynamical Systems (Advances in Design and Control). Society for Industrial and Applied Mathematics Philadelphia, PA, USA, 2005.