Seizure prediction: The long and winding road

Brain

Volumn 130, Issue 2, 2007, Pages 314-333

  Mormann, Florian ^a,c   Andrzejak, Ralph G ^b   Elger, Christian E ^a   Lehnertz, Klaus ^a  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITAT POMPEU FABRA   (Spain)

^c CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Algorithm; Guidelines; Methodology; Performance; Seizure anticipation; Statistical validation

Indexed keywords

ALGORITHM; BRAIN DEPTH RECORDING; BRAIN REGION; CORTICAL SYNCHRONIZATION; ELECTROENCEPHALOGRAM; HUMAN; PRACTICE GUIDELINE; PREDICTION; PRIORITY JOURNAL; RELIABILITY; REVIEW; SEIZURE; STATISTICAL ANALYSIS; VALIDATION PROCESS;

EID: 33846638294     PISSN: 00068950     EISSN: 14602156     Source Type: Journal    
DOI: 10.1093/brain/awl241     Document Type: Review

References (154)

1. Adelson PD, Nemoto E, Scheuer M, Painter M, Morgan J, Yonas H. Noninvasive continuous monitoring of cerebral oxygenation periictally using near-infrared spectroscopy: a preliminary report. Epilepsia 1999; 40: 1484-9.
2. Andrzejak RG, Widman G, Lehnertz K, Rieke C, David P, Elger CE. The epileptic process as nonlinear deterministic dynamics in a stochastic environment-an evaluation of mesial temporal lobe epilepsy. Epilepsy Res 2001;44:129-40.
3. Andrzejak RG, Mormann F, Kreuz T, Rieke C, Kraskov A, Elger CE, et al. Testing the null hypothesis of the non-existence of the pre-seizure state. Phys Rev E 2003; 67: 010901.
4. Andrzejak RG, Mormann F, Widman G, Kreuz T, Elger CE, Lehnertz K. Improved spatial characterization of the epileptic brain by focusing on nonlinearity. Epilepsy Res 2006; 69: 30-44.
5. Annegers JF. The epidemiology in epilepsy. In: Wyllie E, editor. The treatment of epilepsy: principle and practice. Baltimore: Williams & Wilkins; 1996. p. 165-72.
6. Arnhold J, Grassberger P, Lehnertz K, Elger CE. A robust method for detecting interdependencies: application to intracranially recorded EEG. Physica D 1999; 134: 419-30.
7. Aschenbrenner-Scheibe R, Maiwald T, Winterhalder M, Voss HU, Timmer J, Schulze-Bonhage A. How well can epileptic seizures be predicted? An evaluation of a nonlinear method. Brain 2003; 126: 2616-26.
8. Bartolomei F, Wendling F, Regis J, Gavaret M, Guye M, Chauvel P. Pre-ictal synchronicity in limbic networks of mesial temporal lobe epilepsy. Epilepsy Res 2004; 61: 89-104.
9. Bauer J, Burr W. Course of chronic focal epilepsy resistant to anticonvulsant treatment. Seizure 2001; 10: 239-46.
10. Baumgartner C, Serles W, Leutmezer F, Pataraia E, Aull S, Czech T, et al. Preictal SPECT in temporal lobe epilepsy: regional cerebral blood flow is increased prior to electroencephalography-seizure onset. J Nucl Med 1998; 39: 978-82.
11. Bragin A, Engel J Jr, Wilson CL, Fried I, Buzsaki G. High-frequency oscillations in human brain. Hippocampus 1999; 9: 137-42.
12. Bragin A, Mody I, Wilson CL, Engel J Jr. Local generation of fast ripples in epileptic brain. J Neurosci 2002; 22: 2012-21.
13. Broomhead DS, King GP. Extracting qualitative dynamics from experimental data. Physica D 1986; 20: 217-36.
14. Cerf R, el-Ouasdad EH. Spectral analysis of stereo-electroencephalograms: preictal slowing in partial epilepsies. Biol Cybern 2000; 83: 399-405.
15. Cerf R, el-Ouasdad EH, Kahane P. Criticality and synchrony of fluctuations in rhythmical brain activity: pretransitional effects in epileptic patients. Biol Cybern 2004; 90: 239-55.
16. Chaovalitwongse W, Iasemidis LD, Pardalos PM, Carney PR, Shiau DS, Sackellares JC. Performance of a seizure warning algorithm based on the dynamics of intracranial EEG. Epilepsy Res 2005; 64: 93-113.
17. Chaovalitwongse W, Iasemidis LD, Pardalos PM, Carney PR, Shiau DS, Sackellares JC. Performance of a seizure warning algorithm based on the dynamics of intracranial EEG [Author Reply]. Epilepsy Res 2006, Epub ahead of print doi:10.1016/j.eplepsyres.2006.06.014.
18. Chávez M, Le Van Quyen M, Navarro V, Baulac M, Martinerie J. Spatiotemporal dynamics prior to neocortical seizures: amplitude versus phase couplings. IEEE Trans Biomed Eng 2003; 50: 571-83.
19. D'Alessandro M, Esteller R, Vachtsevanos G, Hinson A, Echauz J, Litt B. Epileptic seizure prediction using hybrid feature selection over multiple intracranial EEG electrode contacts: a report of four patients. IEEE Trans Biomed Eng 2003; 50: 603-15.
20. D'Alessandro M, Vachtsevanos G, Esteller R, Echauz J, Cranstoun S, Worrell G, et al. A multi-feature and multi-channel univariate selection process for seizure prediction. Clin Neurophysiol 2005; 116: 506-16.
21. De Clercq W, Lemmerling P, Van Huffel S, Van Paesschen W. Anticipation of epileptic seizures from standard EEG recordings. Lancet 2003; 361: 971.
22. Delamont R, Julu P, Jamal G. Changes in a measure of cardiac vagal activity before and after epileptic seizures. Epilepsy Res 1999; 35: 87-94.
23. Drury I, Smith B, Li D, Savit R. Seizure prediction using scalp electroencephalogram. Exp Neurol 2003; 184: 9-18.
24. Elger CE, Lehnertz K. Seizure prediction by non-linear time series analysis of brain electrical activity. Eur J Neurosci 1998; 10: 786-9.
25. Elger CE. Future trends in epileptology. Curr Opin Neurol 2001; 14: 185-6.
26. Esteller R, Echauz J, D'Alessandro M, Worrell G, Cranstoun S, Vachtsevanos G, et al. Continuous energy variation during the seizure cycle: towards an on-line accumulated energy. Clin Neurophysiol 2005; 116: 517-26.
27. Federico P, Abbott DF, Briellmann RS, Harvey AS, Jackson GD. Functional MRI of the pre-ictal state. Brain 2005; 128: 1811-7.
28. Fountas KN, Smith JR, Murro AM, Politsky J, Park YD, Jenkins PD. Implantation of a closed-loop stimulation in the management of medically refractory focal epilepsy: a technical note. Stereotact Funct Neurosurg 2005; 83: 153-8.
29. Franaszczuk PJ, Bergey GK, Kaminski MJ. Analysis of mesial temporal seizure onset and propagation using the directed transfer function method. Electroencephalogr Clin Neurophysiol 1994; 91: 413-27.
30. Franaszczuk PJ, Bergey GK, Durka PJ, Eisenberg HM. Time-frequency analysis using the matching pursuit algorithm applied to seizures originating from the mesial temporal lobe. Electroencephalogr Clin Neurophysiol 1998; 106: 513-21.
31. Gabor D. Theory of communication. Proc IEEE London 1946; 93: 429-57. Gigola S, Ortiz F, D'Attellis CE, Silva W, Kochen S. Prediction of epileptic seizures using accumulated energy in a multiresolution framework. J Neurosci Methods 2004; 138: 107-11.
32. Gotman J, Marciani MG. Electroencephalographic spiking activity, drug levels and seizure occurrence in epileptic patients. Ann Neurol 1985; 17: 597-603.
33. Gotman J, Koffler DJ. Interictal spiking increases after seizures but does not after decrease in medication. Electroencephalogr Clin Neurophysiol 1989; 72: 7-15.
34. Grassberger P, Procaccia I. Characterization of strange attractors. Phys Rev Lett 1983a; 50: 346-9.
35. Grassberger P, Procaccia I. Estimation of the Kolmogorov entropy from a chaotic signal. Phys Rev A 1983b; 28: 2591-3.
36. Grassberger P, Schreiber T, Schaffrath C. Nonlinear time sequence analysis. Int J Bifurcat Chaos 1991; 1: 521-47.
37. Hao B-L. Elementary symbolic dynamics and chaos in dissipative systems. Singapore: World Scientific; 1989.
38. Harrison MA, Frei MG, Osorio I. Accumulated energy revisited. Clin Neurophysiol 2005a; 116: 527-31.
39. Harrison MA, Osorio I, Frei MG, Asuri S, Lai YC. Correlation dimension and integral do not predict epileptic seizures. Chaos 2005b; 15: 33106.
40. Haut SR, Swick C, Freeman K, Spencer S. Seizure clustering during epilepsy monitoring. Epilepsia 2002; 43: 711-5.
41. Hill MW, Wong M, Amarakone A, Rothman SM. Rapid cooling aborts seizure-like activity in rodent hippocampal-entorhinal slices. Epilepsia 2000; 41: 1241-8.
42. Hively LM, Protopopescu VA, Gailey PC. Timely detection of dynamical change in scalp EEG signals. Chaos 2000; 10: 864-75.
43. Hively LM, Protopopescu VA. Channel-consistent forewarning of epileptic events from scalp EEG. IEEE Trans Biomed Eng 2003; 50: 584-93.
44. Hjorth B. EEG analysis based on time domain properties. Electroencephalogr Clin Neurophysiol 1970; 29: 306-10.
45. Hughes J, Devinsky O, Feldmann E, Bromfield E. Premonitory symptoms in epilepsy. Seizure 1993; 2: 201-3.
46. Huygens C. Horoloquium Oscilatorium. In: Apud F. Muguet, Parisis, France. 1673 (Engl. translation: The pendulum clocks. Ames: Iowa State University Press; 1986).
47. Iasemidis LD, Sackellares JC, Zaveri HP, Williams WJ. Phase space topography and the Lyapunov exponent of electrocorticograms in partial seizures. Brain Topogr 1990; 2: 187-201.
48. Iasemidis LD, Pardalos P, Sackellares JC, Shiau DS. Quadratic binary programming and dynamical system approach to determine the predictability of epileptic seizures. J Comb Optim 2001; 5: 9-26.
49. Iasemidis LD, Shiau DS, Chaovalitwongse W, Sackellares JC, Pardalos PM, Principe JC, et al. Adaptive epileptic seizure prediction system. IEEE Trans Biomed Eng 2003; 50: 616-27.
50. Iasemidis LD, Shiau DS, Pardalos PM, Chaovalitwongse W, Narayanan K, Prasad A, et al. Long-term prospective on-line real-time seizure prediction. Clin Neurophysiol 2005; 116: 532-44.
51. Jerger KK, Netoff TI, Francis JT, Sauer T, Pecora L, Weinstein SL, et al. Early seizure detection. J Clin Neurophysiol 2001; 18: 259-68.
52. Jerger KK, Weinstein SL, Sauer T, Schiff SJ. Multivariate linear discrimination of seizures. Clin Neurophysiol 2005; 116: 545-51.
53. Jouny CC, Franaszczuk PJ, Bergey GK. Signal complexity and synchrony of epileptic seizures: is there an identifiable preictal period? Clin Neurophysiol 2005; 116: 552-8.
54. Kalitzin S, Parra J, Velis D, Lopes da Silva FH. Enhancement of phase clustering in the EEG/MEG gamma frequency band anticipates transitions to paroxysmal epileptiform activity in epileptic patients with known visual sensitivity. IEEE Trans Biomed Eng 2002; 49: 1279-86.
55. Kalitzin S, Velis D, Suffczynski P, Parra J, Lopes da Silva F. Electrical brain-stimulation paradigmfor estimating the seizure onset site and the time to ictal transition in temporal lobe epilepsy. Clin Neurophysiol 2005; 116: 718-28.
56. Kantz H. Quantifying the closeness of fractal measures. Phys Rev E 1994a; 49: 5091-7.
57. Kantz H. A robust method to estimate the maximal Lyapunov exponent of a time series. Phys Lett A 1994b; 185: 77-87.
58. Kantz H, Schreiber T. Nonlinear time series analysis. Cambridge: Cambridge University Press; 1997.
59. Kaplan DT, Glass L. Direct test for determinism in a time series. Phys Rev Lett 1992; 68: 427-30.
60. Kasper F, Schuster HG. Easily calculable measure for the complexity of spatio-temporal patterns. Phys Rev A 1987; 36: 842-8.
61. Katz A, Marks DA, McCarthy G, Spencer SS. Does interictal spiking rate change prior to seizures? Electroencephalogr Clin Neurophysiol 1991; 79: 153-6.
62. Kerem DH, Geva AB. Forecasting epilepsy from the heart rate signal. Med Biol Eng Comput 2005; 43: 230-9.
63. Kossoff EH, Ritzl EK, Politsky JM, Murro AM, Smith JR, Duckrow RB, et al. Effect of an external responsive neurostimulator on seizures and electrographic discharges during subdural electrode monitoring. Epilepsia 2004; 45: 1560-7.
64. Kreuz T, Andrzejak RG, Mormann F, Kraskov A, Stogbauer H, Elger CE, et al. Measure profile surrogates: a method to validate the performance of epileptic seizure prediction algorithms. Phys Rev E 2004; 69: 061915.
65. Lachaux JP, Rodriguez E, Martinerie J, Varela FJ. Measuring phase synchrony in brain signals. Hum Brain Mapp 1999; 8: 194-208.
66. Lai YC, Harrison MA, Frei MG, Osorio I. Inability of Lyapunov exponents to predict epileptic seizures. Phys Rev Lett 2003; 91: 068102.
67. Lai YC, Harrison MA, Frei MG, Osorio I. Controlled test for predictive power of Lyapunov exponents: their inability to predict epileptic seizures. Chaos 2004; 14: 630-42.
68. Lange HH, Lieb JP, Engel J Jr, Crandall PH. Temporo-spatial patterns of preictal spike activity in human temporal lobe epilepsy. Electroencephalogr Clin Neurophysiol 1983; 56: 543-55.
69. Le Van Quyen M , Martinerie J, Baulac M, Varela F. Anticipating epileptic seizure in real time by a nonlinear analysis of similarity between EEG recordings. Neuroreport 1999; 10: 2149-55.
70. Le Van Quyen M, Adam C, Martinerie J, Baulac M, Clemenceau S, Varela F. Spatio-temporal characterization of non-linear changes in intracranial activities prior to human temporal lobe seizures. Eur J Neurosci 2000; 12: 2124-34.
71. Le Van Quyen M, Martinerie J, Navarro V, Boon P, D'Have M, Adam C, et al. Anticipation of epileptic seizures from standard EEG recordings. Lancet 2001a; 357: 183-8.
72. Le Van Quyen M, Martinerie J, Navarro V, Baulac And M, Varela FJ. Characterizing neurodynamic changes before seizures. J Clin Neurophysiol 2001b; 18: 191-208.
73. Le Van Quyen M, Navarro V, Martinerie J, Baulac M, Varela FJ. Towards a neurodynamical understanding of ictogenesis. Epilepsia 2003; 44: 30-43.
74. Le Van Quyen M, Soss J, Navarro V, Robertson R, Chavez M, Baulac M, et al. Preictal state identification by synchronization changes in long-term intracranial EEG recordings. Clin Neurophysiol 2005; 116: 559-68.
75. Lehnertz K. Non-linear time series analysis of intracranial EEG recordings in patients with epilepsy-an overview. Int J Psychophysiol 1999; 34: 45-52.
76. Lehnertz K, Elger CE. Neuronal complexity loss in temporal lobe epilepsy: effects of carbamazepine on the dynamics of the epileptogenic focus. Electroencephalogr Clin Neurophysiol 1997; 103: 376-80.
77. Lehnertz K, Elger CE. Can epileptic seizures be predicted? Evidence from nonlinear time series analysis of brain electrical activity. Phys Rev Lett 1998; 80: 5019-23.
78. Lehnertz K, Litt B. The first international collaborative workshop on seizure prediction: summary and data description. Clin Neurophysiol 2005; 116: 493-505.
79. Lehnertz K, Andrzejak RG, Arnhold J, Kreuz T, Mormann F, Rieke C, et al. Nonlinear EEG analysis in epilepsy: its possible use for interictal focus localization, seizure anticipation, and prevention. J Clin Neurophysiol 2001; 18: 209-22.
80. Lempel A, Ziv J. On the complexity of finite sequences. IEEE Trans Inf Theory 1976; 22: 75-81.
81. Lerner DE. Monitoring changing dynamics with correlation integrals: case study of an epileptic seizure. Physica D 1996; 97: 563-76.
82. Li D, Zhou W, Drury I, Savit R. Non-linear, non-invasive method for seizure anticipation in focal epilepsy. Math Biosci 2003; 186: 63-77.
83. Litt B, Esteller R, Echauz J, D'Alessandro M, Shor R, Henry T, et al. Epileptic seizures may begin hours in advance of clinical onset: a report of five patients. Neuron 2001; 30: 51-64.
84. Lopes da Silva FH. EEG analysis: theory and practice. In: Niedermayer E, Lopes da Silva FH, editors. Electroencephalography, basic principles, clinical applications and related fields. Baltimore: Urban and Schwarzenberg; 1987. p. 871-97.
85. Lopes da Silva FH, Mars NJI. Parametric methods in EEG analysis. In: Gevins AS, Remond A, editors. Methods of analysis of brain electrical andmagnetic signals. EEG Handbook (Revised Series, Vol. 1). Amsterdam: Elsevier; 1987. p. 243-60.
86. Lopes da Silva F, Blanes W, Kalitzin S, Parra J, Suffczynski P, Velis DN. Epilepsies as a dynamical disease of brain systems: basic models of the transition between normal and epileptic activity. Epilepsia 2003; 44: 72-83.
87. Maiwald T, Winterhalder M, Aschenbrenner-Scheibe R, Voss HU, Schulze-Bonhage A, Timmer J. Comparison of three nonlinear seizure prediction methods by means of the seizure prediction characteristic. Physica D 2004; 194: 357-68.
88. Makhoul J. Linear prediction: a tutorial review. Proc IEEE 1973; 63: 561-80.
89. Manuca R, Savit R. Stationarity and nonstationarity in time series analysis. Physica D 1996; 99: 134-61.
90. Martinerie J, Adam C, Le Van Quyen M, Baulac M, Clemenceau S, Renault B, et al. Epileptic seizures can be anticipated by non-linear analysis. Nat Med 1998; 4: 1173-6.
91. McSharry PE, Smith LA, Tarassenko L. Prediction of epileptic seizures: are nonlinear methods relevant? Nat Med 2003; 9: 241-2.
92. Mormann F, Lehnertz K, David P, Elger CE. Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients. Physica D 2000; 144: 358-69.
93. Mormann F, Andrzejak RG, Kreuz T, Rieke C, David P, Elger CE, et al. Automated detection of a pre-seizure state based on a decrease in synchronization in intracranial EEG recordings from epilepsy patients. Phys Rev E 2003a; 67: 021912.
94. Mormann F, Kreuz T, Andrzejak RG, David P, Lehnertz K, Elger CE. Epileptic seizures are preceded by a decrease in synchronization. Epilepsy Res 2003b; 53: 173-85.
95. Mormann F, Kreuz T, Rieke C, Andrzejak RG, Kraskov A, David P, et al. On the predictability of epileptic seizures. Clin Neurophysiol 2005; 116: 569-87.
96. Mormann F, Elger CE, Lehnertz K. Seizure anticipation: from algorithms to clinical practice [Review]. Curr Opin Neurol 2006a; 19: 187-93.
97. Mormann F, Elger CE, Lehnertz K. Performance of a seizure warning algorithm based on the dynamics of intracranial EEG [Comment Letter]. Epilepsy Res 2006b, Epub ahead of print doi:10.1016/j.eplepsyres.2006.06.011.
98. Morrell M. Brain stimulation for epilepsy: can scheduled or responsive neurostimulation stop seizures? [Review]. Curr Opin Neurol 2006; 19: 164-8.
99. Navarro V, Martinerie J, Le Van Quyen M, Clemenceau S, Adam C, et al. Seizure anticipation in human neocortical partial epilepsy. Brain 2002; 125: 640-55.
100. Navarro V, Martinerie J, Le Van Quyen M, Baulac M, Dubeau F, Gotman J. Seizure anticipation: do mathematical measures correlate with video-EEG evaluation? Epilepsia 2005; 46: 385-96.
101. Niederhauser JJ, Esteller R, Echauz J, Vachtsevanos G, Litt B. Detection of seizure precursors from depth-EEG using a sign periodogram transform. IEEE Trans Biomed Eng 2003; 50: 449-58.
102. Novak V, Reeves AL, Novak P, Low PA, Sharbrough FW. Time-frequency mapping of R-R interval during complex partial seizures of temporal lobe origin. J Auton Nerv Syst 1999; 77: 195-202.
103. Osorio I, Frei M, Wilkinson S. Real-time automated detection and quantitative analysis of seizures and short-term prediction of clinical onset. Epilepsia 1998; 39: 615-27.
104. Osorio I, Frei MG, Manly BF, Sunderam S, Bhavaraju NC, Wilkinson SB. An introduction to contingent (closed-loop) brain electrical stimulation for seizure blockage, to ultra-short-term clinical trials, and to multidimensional statistical analysis of therapeutic efficacy. J Clin Neurophysiol 2001; 18: 533-44.
105. Osorio I, Frei MG, Sunderam S, Giftakis J, Bhavaraju NC, Schaffner SF, et al. Automated seizure abatement in humans using electrical stimulation. Ann Neurol 2005; 57: 258-68.
106. Ott E. Chaos in dynamical systems. Cambridge: Cambridge University Press; 1993.
107. Panter P. Modulation, noise, and spectral analysis. New York: McGraw-Hill, 1965.
108. Parra J, Kalitzin SN, Iriarte J, Blanes W, Velis DN, Lopes da Silva FH. Gamma-band phase clustering and photosensitivity: is there an underlying mechanism common to photosensitive epilepsy and visual perception? Brain 2003; 126: 1164-72.
109. Pijn JP, Van Neerven J, Noest A, Lopes da Silva FH. Chaos or noise in EEG signals; dependence on state and brain site. Electroencephalogr Clin Neurophysiol 1991; 79: 371-81.
110. Press WH, Teukolsky SA, Vetterling WT, Flannery BP. Numerical recipes in C: the art of scientific computing (second edition). Cambridge: Cambridge University Press. 1992.
111. Protopopescu VA, Hively LM, Gailey PC. Epileptic seizure forewarning from scalp EEG. J Clin Neurophysiol 2001; 18: 223-45.
112. Quian Quiroga R, Kraskov A, Kreuz T, Grassberger P. Performance of different synchronization measures in real data: a case study on electroencephalographic signals. Phys Rev E 2002; 65: 041903.
113. Rajna P, Clemens B, Csibri E, Dobos E, Geregely A, Gottschal M, et al. Hungarian multicentre epidemiologic study of the warning and initial symptoms (prodrome, aura) of epileptic seizures. Seizure 1997; 6: 361-8.
114. Rieke C, Sternickel C, Andrzejak RG, Elger CE, David P, Lehnertz K. Measuring nonstationarity by analyzing the loss of recurrence in dynamical systems. Phys Rev Lett 2002; 88: 244102.
115. Rieke C, Andrzejak RG, Mormann F, Lehnertz K. Improved statistical test for nonstationarity using recurrence time statistics. Phys Rev E 2004; 69: 046111.
116. Rogowski Z, Gath I, Bental E. On the prediction of epileptic seizures. Biol Cybern 1981; 42: 9-15.
117. Rosenblum MG, Pikovsky AS, Kurths J. Phase synchronization of chaotic oscillators. Phys Rev Lett 1996; 76: 1804-7.
118. Rosenblum MG, Pikovsky AS, Kurths J. From phase to lag synchronization in coupled chaotic oscillators. Phys Rev Lett 1997; 78: 4193-6.
119. Rosenblum M, Pikovsky A, Kurths J, Schäfer C, Tass PA. Phase synchronization: from theory to data analysis. In: Moss F, Gielen S, editors. Handbook of biological physics. Amsterdam: Elsevier; 2001. p. 279-321.
120. Rosenstein MT, Collins JC, De Luca CJ. A practical method for calculating the largest Lyapunov exponents from small datasets. Physica D 1993; 65: 117-34.
121. Rulkov NF, Sushchik MM, Tsimring LS, Ababarnel HDI. Generalized synchronization of chaos in directionally coupled chaotic systems. Phys Rev E 1995; 51: 980-94.
122. Salant Y, Gath I, Henriksen O. Prediction of epileptic seizures from two-channel EEG. Med Biol Eng Comput 1998; 36: 549-56.
123. Savit R, Green M. Time series and dependent variables. Physica D 1991; 50: 95-116.
124. Schelter B, Winterhalder M, Maiwald T, Brandt A, Schad A, Schulze-Bonhage A, et al. Testing statistical significance of multivariate time series analysis techniques for epileptic seizure prediction. Chaos 2006; 16: 013108.
125. Schiff SJ, Colella D, Jacyna GM, Hughes E, Creekmore JW, Marshall A, et al. Brain chirps: spectrographic signatures of epileptic seizures. Clin Neurophysiol 2000; 111: 953-8.
126. Schiff SJ, Sauer T, Kumar R, Weinstein SL. Neuronal spatiotemporal pattern discrimination: the dynamical evolution of seizure. Neuroimage 2005; 28: 1043-55.
127. Schindler K, Wiest R, Kollar M, Donati F. EEG analysis with simulated neuronal cell models helps to detect pre-seizure changes. Clin Neurophysiol 2002; 113: 604-14.
128. Schreiber T. Efficient neighbor searching in nonlinear time series analysis. Int J Bifurcat Chaos 1995; 5: 349-58.
129. Schreiber T, Schmitz A. Improved surrogate data for nonlinearity tests. Phys Rev Lett 1996; 77: 635-8.
130. Schreiber T, Schmitz A. Surrogate time series. Physica D 2000; 142: 346-82.
131. Schulze-Bonhage A, Kurth C, Carius A, Steinhoff BJ, Mayer T. Seizure anticipation by patients with focal and generalized epilepsy: a multicentre assessment of premonitory symptoms. Epilepsy Res 2006; 70: 83-8.
132. Schuster HG. Deterministic chaos: an introduction. 2nd revised version. Weinheim: VCH; 1989.
133. Siegel A, Grady CL, Mirsky AF. Prediction of spike-wave bursts in absence epilepsy by EEG power-spectrum signals. Epilepsia 1982; 23: 47-60.
134. Stam CJ. Nonlinear dynamical analysis of EEG and MEG: review of an emerging field [Review]. Clin Neurophysiol 2005; 116: 2266-301.
135. Stanski DR, Hudson RJ, Homer TD, Saidman LJ, Meathe E. Pharmacodynamic modeling of thiopental anesthesia. J Pharmacokinet Biopharm 1984; 12: 223-40.
136. Stein AG, Eder HG, Blum DE, Drachev A, Fisher RS. An automated drug delivery system for focal epilepsy. Epilepsy Res 2000; 39: 103-14.
137. Sterman MB. Basic concepts and clinical findings in the treatment of seizure disorders with EEG operant conditioning. Clin Electroencephalogr 2000; 31: 45-55.
138. Suffczynski P, Lopes da Silva F, Parra J, Velis D, Kalitzin S. Epileptic transitions: model predictions and experimental validation. J Clin Neurophysiol 2005; 22: 288-99.
139. Suffczynski P, Lopes da Silva FH, Parra J, Velis DN, Bouwman BM, van Rijn CM, et al. Dynamics of epileptic phenomena determined from statistics of ictal transitions. IEEE Trans Biomed Eng 2006; 53: 524-32.
140. Takens F. Detecting strange attractors in turbulence. In: Rand DA, Young LS, editors. Dynamical systems and turbulence lecture notes on mathematics 898. New York: Springer; 1981. p. 366-81.
141. Tass P, Rosenblum MG, Weule J, Kurths J, Pikovsky AS, Volkmann J, et al. Detection of n:m phase locking from noisy data: application to magnetoencephalography. Phys Rev Lett 1998; 81: 3291-4.
142. Theiler J. Spurious dimension from correlation algorithms applied to limited time series data. Phys Rev A 1986; 34: 2427-33.
143. Theodore WH, Fisher RS. Brain stimulation for epilepsy. [Review]. Lancet Neurol 2004; 3: 111-8.
144. van Drongelen W, Nayak S, Frim DM, Kohrman MH, Towle VL, Lee HC, et al. Seizure anticipation in pediatric epilepsy: use of Kolmogorov entropy. Pediatr Neurol 2003; 29: 207-13.
145. Viglione S, Walsh G. Proceedings. Epileptic seizure prediction [Abstract]. Electroencephalogr Clin Neurophysiol 1975; 39: 435-6.
146. Weinand ME, Carter LP, El-Saadany WF, Sioutos PJ, Labiner DM, Oommen KJ. Cerebral blood flow and temporal lobe epileptogenicity. J Neurosurg 1997; 86: 226-32.
147. Wendling F, Bartolomei F, Bellanger JJ, Chauvel P. Epileptic fast activity can be explained by a model of impaired GABAergic dendritic inhibition. Eur J Neurosci 2002; 15: 1499-508.
148. Wendling F, Bartolomei F, Bellanger JJ, Bourien J, Chauvel P. Epileptic fast intracerebral EEG activity: evidence for spatial decorrelation at seizure onset. Brain 2003; 126: 1449-59.
149. Whitney H. Differentiable manifolds. Ann Math 1936; 37: 645-80.
150. Winterhalder M, Maiwald T, Voss HU, Aschenbrenner-Scheibe R, Timmer J, Schulze-Bonhage A. The seizure prediction characteristic: a general framework to assess and compare seizure prediction methods. Epilepsy Behav 2003; 4: 318-25.
151. Winterhalder M, Schelter B, Schulze-Bonhage A, Timmer J. Performance of a seizure warning algorithm based on the dynamics of intracranial EEG [Comment Letter]. Epilepsy Res 2006, Epub ahead of print doi:10.1016/ j.eplepsyres.2006.06.012.
152. Wolf A, Swift JB, Swinney L, Vastano A. Determining Lyapunov exponents from a time series. Physica D 1985; 16: 285-317.
153. Worrell G, Parish L, Cranstoun S, Jonas R, Baltuch G, Litt B. High frequency oscillations and seizure generation in neocortical epilepsy. Brain 2004; 127: 1496-506.
154. Yaari Y, Beck H. 'Epileptic neurons' in temporal lobe epilepsy. Brain Pathol 2002; 12: 234-9.