Epilepsy and nonlinear dynamics

Journal of Biological Physics

Volumn 34, Issue 3-4 SPEC. ISS., 2008, Pages 253-266

  Lehnertz, Klaus ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

Epilepsy; Nonlinear EEG analysis; Presurgical evaluation; Seizure prediction

Indexed keywords

ANTICONVULSIVE AGENT;

ANALYTIC METHOD; ELECTROENCEPHALOGRAM; ELECTROENCEPHALOGRAPHY; EPILEPSY; EPILEPTOGENESIS; EVALUATION; FOCAL EPILEPSY; HUMAN; NEUROIMAGING; NEUROSURGERY; NONLINEAR SYSTEM; PREDICTION; PREOPERATIVE EVALUATION; PRIMARY PREVENTION; PRIORITY JOURNAL; REVIEW; SEIZURE; TIME SERIES ANALYSIS;

EID: 56749100373     PISSN: 00920606     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10867-008-9090-3     Document Type: Review

References (159)

1. V.B. Mountcastle 1997 The columnar organization of the neocortex Brain 120 701
2. R.S. Fisher W. van Emde Boas W. Blume C.E. Elger P. Genton P. Lee J. Engel Jr. 2005 Epileptic seizures and epilepsy: definitions proposed by the International League Against Epilepsy (ILAE) and the International Bureau for Epilepsy (IBE) Epilepsia 46 470
3. J.S. Duncan J.W. Sander S.M. Sisodiya M.C. Walker 2006 Adult epilepsy Lancet 367 1087
4. R. Guerrini 2006 Epilepsy in children Lancet 367 499
5. J. Engel Jr. 2006 Report of the ILAE classification core group Epilepsia 47 1558
6. T.I. Netoff S.J. Schiff 2002 Decreased neuronal synchronization during experimental seizures J. Neurosci. 22 7297
7. F. Wendling F. Bartolomei J.J. Bellanger J. Bourien P. Chauvel 2003 Epileptic fast intracerebral EEG activity: evidence for spatial decorrelation at seizure onset Brain 126 1449
8. L.G. Dominguez R.A. Wennberg W. Gaetz D. Cheyne O.C. Snead J.L.P. Velazquez 2005 Enhanced synchrony in epileptiform activity?-Local versus distant phase synchronization in generalized seizures J. Neurosci. 25 8077 8084
9. K. Schindler H. Leung C.E. Elger K. Lehnertz 2007 Assessing seizure dynamics by analysing the correlation structure of multi-channel intracranial EEG Brain 130 65
10. K. Schindler C.E. Elger K. Lehnertz 2007 Increased synchronization may promote seizure termination: evidence from status epilepticus Clin. Neurophysiol. 118 1955
11. P. Kwan M.J. Brodie 2006 Combination therapy in epilepsy - When and what to use Drugs 66 1817
12. J.S. Duncan 2007 Epilepsy surgery Clin. Med. 7 137
13. J. Murray 1993 Coping with the uncertainty of uncontrolled epilepsy Seizure 2 167
14. K. Lehnertz C.E. Elger 1998 Evidence from nonlinear time series analysis of brain electrical activity Phys. Rev. Lett. 80 5019
15. C.E. Elger 2001 Future trends in epileptology Curr. Opin. Neurol. 14 185
16. W.H. Theodore R.S. Fisher 2004 Brain stimulation for epilepsy Lancet Neurol. 3 111
17. M. Morrell 2006 Brain stimulation for epilepsy: can scheduled or responsive neurostimulation stop seizures? Curr. Opin. Neurol. 19 164
18. Niedermayer, E., Lopes da Silva, F.H.: Electroencephalography, Basic Principles, Clinical Applications and Related Fields. Urban and Schwarzenberg, 3rd (edn). Williams and Wilkins, Baltimore (1993)
19. Schreiber, T.: Is nonlinearity evident in time series of brain electrical activity? In: Lehnertz, K., Arnhold, J., Grassberger, P., Elger, C.E. (eds.) Chaos in Brain?, p. 13. World Scientific, Singapore (2000)
20. Takens, F.: Detecting strange attractors in turbulence. In: Rand, D.A., Young, L.S. (eds.) Dynamical Systems and Turbulence. Lecture Notes in Mathematics, vol. 898, p. 366. Springer, Berlin (1980)
21. T. Sauer J.A. Yorke M. Casdagli 1991 Embedology J. Stat. Phys. 65 579
22. Schuster, H.G.: Deterministic Chaos: an Introduction. VCH, Weinheim (1989)
23. H.D.I. Abarbanel R. Brown J.J. Sidorowich L. Tsimring 1993 The analysis of observed chaotic data in physical systems Rev. Mod. Phys. 65 1331
24. Ott, E.: Chaos in Dynamical Systems. Cambridge University Press, Cambridge (1994)
25. Kantz, H., Schreiber, T.: Nonlinear Time Series Analysis, 2nd edn. Cambridge University Press, Cambridge (2003)
26. Pikovsky, A.S., Rosenblum, M.G., Kurths, J.: Synchronization. A Universal Concept in Nonlinear Sciences. Cambridge University Press, Cambridge (2001)
27. R. Hegger H. Kantz T. Schreiber 1999 Practical implementation of nonlinear time series methods: the TISEAN package Chaos 9 413
28. K. Lehnertz R.G. Andrzejak J. Arnhold T. Kreuz F. Mormann C. Rieke G. Widman C.E. Elger 2001 Nonlinear EEG analysis in epilepsy: its possible use for interictal focus localization, seizure anticipation, and prevention J. Clin. Neurophysiol. 18 209
29. F. Mormann T. Kreuz C. Rieke R.G. Andrzejak A. Kraskov P. David C.E. Elger K. Lehnertz 2005 On the predictability of epileptic seizures Clin. Neurophysiol. 166 569
30. F. Mormann R.G. Andrzejak C.E. Elger K. Lehnertz 2007 Seizure prediction: the long and winding road Brain 130 314
31. C.J. Stam 2005 Nonlinear dynamical analysis of EEG and MEG: review of an emerging field Clin. Neurophysiol. 116 2266
32. A. Müller H. Osterhage R. Sowa R.G. Andrzejak F. Mormann K. Lehnertz 2006 A distributed computing system for multivariate time series analyses of multichannel neurophysiological data J. Neurosci. Methods 152 190
33. H. Osterhage K. Lehnertz 2007 Nonlinear time series analysis in epilepsy Int. J. Bifurc. Chaos Appl. Sci. Eng. 17 3305
34. P. Grassberger T. Schreiber C. Schaffrath 1991 Nonlinear time sequence analysis Int. J. Bifurc. Chaos Appl. Sci. Eng. 1 521
35. D.E. Lerner 1996 Monitoring changing dynamics with correlation integrals: case study of an epileptic seizure Physica D 97 563
36. J. Martinerie C. Adam M. Le Van Quyen M. Baulac S. Clemenceau B. Renault F.J. Varela 1998 Epileptic seizures can be anticipated by non-linear analysis Nature Med. 4 1173
37. P. Grassberger I. Procaccia 1983 Estimation of the Kolmogorov entropy from a chaotic signal Phys. Rev. A 28 2591
38. C. Bandt B. Pompe 2002 Permutation entropy: a natural complexity measure for time series Phys. Rev. Lett. 88 174102
39. Y. Cao W. Tung J.B. Gao V.A. Protopopescu L.M. Hively 2004 Detecting dynamical changes in time series using the permutation entropy Phys. Rev. E 70 046217
40. K. Hlaváčková-Schindler M.. Paluš M. Vejmelka J. Bhattacharya 2007 Causality detection based on information-theoretic approaches in time series analysis Phys. Rep. 441 1
41. M. Staniek K. Lehnertz 2007 Parameter selection in permutation entropy measurements Int. J. Bifurc. Chaos Appl. Sci. Eng. 17 3729
42. M. Sano Y. Sawada 1985 Measurement of Lyapunov spectrum from a chaotic time series Phys. Rev. Lett. 55 1082
43. L.D. Iasemidis J.C. Sackellares H.P. Zaveri W.J. Williams 1990 Phase space topography and the Lyapunov exponent of electrocorticograms in partial seizures Brain Topogr. 2 187
44. M.T. Rosenstein J.J. Collins C.J. de Luca 1993 A practical method for calculating the largest Lyapunov exponent from small data sets Physica D 65 117
45. H. Kantz 1994 A robust method to estimate the maximal Lyapunov exponent of a time series Phys. Lett. A 185 77
46. H.R. Moser B. Weber H.G. Wieser P.F. Meier 1999 Electroencephalograms in epilepsy: analysis and seizure prediction within the framework of Lyapunov theory Physica D 130 291
47. D. Kaplan L. Glass 1992 A direct test for determinism Phys. Rev. Lett. 68 427
48. R.G. Andrzejak G. Widman K. Lehnertz P. David C.E. Elger 2001 The epileptic process as nonlinear deterministic dynamics in a stochastic environment: an evaluation on mesial temporal lobe epilepsy Epilepsy Res. 44 129
49. C. Rieke K. Sternickel R.G. Andrzejak C.E. Elger P. David K. Lehnertz 2002 Measuring nonstationarity by analyzing the loss of recurrence in dynamical systems Phys. Rev. Lett. 88 244102
50. C. Rieke R.G. Andrzejak F. Mormann K. Lehnertz 2004 Improved statistical test for nonstationarity using recurrence time statistics Phys. Rev. E 69 046111
51. H. Kantz 1994 Quantifying the closeness of fractal measures Phys. Rev. E 49 5091
52. M. Le Van Quyen J. Martinerie M. Baulac F.J. Varela 1999 Anticipating epileptic seizure in real time by a nonlinear analysis of similarity between EEG recordings Neuroreport 10 2149
53. M.G. Rosenblum A.S. Pikovsky J. Kurths 1996 Phase synchronization of chaotic oscillators Phys. Rev. Lett. 76 1804
54. P.A. Tass M.G. Rosenblum J. Weule J. Kurths A. Pikovsky J. Volkmann A. Schnitzler H.J. Freund 1998 Detection of n:m phase locking from noisy data: application to magnetoencephalography Phys. Rev. Lett. 81 3291
55. F. Mormann K. Lehnertz P. David C.E. Elger 2000 Mean phase coherence as a measure for phase synchronization and its application to the EEG of epilepsy patients Physica D 144 358
56. A. Schad K. Schindler B. Schelter T. Maiwald A. Brandt J. Timmer A. Schulze-Bonhage 2008 Application of a multivariate seizure detection and prediction method to non-invasive and intracranial long-term EEG recordings Clin. Neurophysiol. 119 197
57. J. Varela 1998 Nonlinear interdependencies of EEG signals in human intracranially recorded temporal lobe seizures Brain Res. 792 24
58. J. Arnhold P. Grassberger K. Lehnertz C.E. Elger 1999 A robust method for detecting interdependences: application to intracranially recorded EEG Physica D 134 419
59. N.F. Rulkov M.M. Sushchik L.S. Tsimring H.D.I. Abarbanel 1995 Generalized synchronization of chaos in directionally coupled chaotic systems Phys. Rev. E 51 980
60. M.G. Rosenblum A.S. Pikovsky 2001 Detecting direction of coupling in interacting oscillators Phys. Rev. E 64 045202
61. Y.H. Chen G. Rangarajan J.F. Feng M.Z. Ding 2004 Analyzing multiple nonlinear time series with extended Granger causality Phys. Lett. A 324 26
62. D.A. Smirnov R.G. Andrzejak 2005 Detection of weak directional coupling: phase dynamics approach versus state-space approach Phys. Rev. E 61 036207
63. B. Schelter M. Winterhalder R. Dahlhaus J. Kurths J. Timmer 2006 Partial phase synchronization for multivariate synchronizing systems Phys. Rev. Lett. 96 208103
64. M.C. Romano M. Thiel J. Kurths C. Grebogi 2007 Estimation of the direction of the coupling by conditional probabilities of recurrence Phys. Rev. E 76 036211
65. A. Bahraminasab F. Ghasemi A. Stefanovska P.V.E. McClintock H. Kantz 2008 Direction of coupling from phases of interacting oscillators: a permutation information approach Phys. Rev. Lett. 100 084101
66. M. Staniek K. Lehnertz 2008 Symbolic transfer entropy Phys. Rev. Lett. 100 158101
67. J. Prusseit K. Lehnertz 2008 Measuring interdependences in dissipative dynamical systems with estimated Fokker-Planck coefficients Phys. Rev. E 77 041914
68. Lehnertz, K., Arnhold, J., Grassberger, P., Elger, C.E.: Chaos in Brain? World Scientific, Singapore (2000)
69. Engel, J. Jr., Pedley, T.A. (eds.): Epilepsy: A Comprehensive Textbook, 2nd edn. Lippincott, Williams & Wilkins, Philadelphia (2007)
70. F. Rosenow H. Lüders 2001 Presurgical evaluation of epilepsy Brain 124 1683
71. J. Bauer W. Burr 2001 Course of chronic focal epilepsy resistant to anticonvulsant treatment Seizure 10 239
72. S.R. Haut C. Swick K. Freeman S. Spencer 2002 Seizure clustering during epilepsy monitoring Epilepsia 43 711
73. K. Lehnertz C.E. Elger 1995 Spatio-temporal dynamics of the primary epileptogenic area in temporal lobe epilepsy characterized by neuronal complexity loss Electroencephalogr. Clin. Neurophysiol. 95 108
74. K. Lehnertz C.E. Elger 1997 Neuronal complexity loss in temporal lobe epilepsy: effects of carbamazepine on the dynamics of the epileptogenic focus. Electroencephalogr Clin. Neurophysiol. 103 376
75. M.C. Casdagli L.D. Iasemidis R.S. Savit R.L. Gilmore S. Roper J.C. Sackellares 1997 Non-linearity in invasive EEG recordings from patients with temporal lobe epilepsy Electroencenphalogr. Clin. Neurophysiol. 102 98
76. B. Weber K. Lehnertz C.E. Elger H.G. Wieser 1998 Neuronal complexity loss in intracranial EEG recorded with foramen ovale electrodes predicts side of primary epileptogenic area in temporal lobe epilepsy: a replication study Epilepsia 39 922
77. Elger, C.E., Lehnertz, K., Widman, G.: Interictal focus localization. In: Schmidt, D., Schacter, S.C. (eds.) Epilepsy: Problem Solving in Clinical Practice, p. 144. Martin Dunitz, London (1999)
78. K. Lehnertz 1999 Nonlinear time series analysis of intracranial EEG recordings in patients with epilepsy-an overview Int. J. Psychophysiol. 34 45
79. Lehnertz, K., Andrzejak, R.G., Arnhold, J., Widman, G., Burr, W., David, P., Elger, C.E.: Possible clinical and research applications of nonlinear EEG analysis in humans. In: Lehnertz, K., Arnhold, J., Grassberger, P., Elger, C.E. (eds.) Chaos in Brain?, p. 134. World Scientific, Singapore (2000)
80. C.E. Elger G. Widman R. Andrzejak J. Arnhold P. David K. Lehnertz 2000 Nonlinear EEG analysis and its potential role in epileptology Epilepsia 41 Suppl. 3 34
81. Elger, C.E., Widman, G., Andrzejak, R., Dümpelmann, M., Arnhold, J., Grassberger, P., Lehnertz, K.: Value of nonlinear time series analysis of the EEG in neocortical epilepsies. In: Williamson, P.D., Siegel, A.M., Roberts, D.W., Thadani, V.M., Gazzaniga, M.S. (eds.) Neocortical epilepsies. Advances in Neurology, p. 317. Lippincott, Williams & Wilkins, Philadelphia (2000)
82. H. Jing M. Takigawa 2000 Topographic analysis of dimension estimates of EEG and filtered rhythms in epileptic patients with complex partial seizures Biol. Cybern. 83 391
83. G. Widman K. Lehnertz H. Urbach C.E. Elger 2000 Spatial distribution of neuronal complexity loss in neocortical epilepsies Epilepsia 41 811
84. Z.J. Kowalik A. Schnitzler H.J. Freund O.W. Witte 2001 Local Lyapunov exponents detect epileptic zones in spike-less interictal MEG recordings Clin. Neurophysiol. 112 60
85. H. Jing M. Takigawa A.A. Benasisch 2002 Relationship of nonlinear analysis, MRI and SPECT in the lateralization of temporal lobe epilepsy Eur. Neurol. 48 11
86. C. Rieke F. Mormann R.G. Andrzejak T. Kreuz P.K.A. David C.E. Elger K. Lehnertz 2003 Discerning nonstationarity from nonlinearity in seizure-free and pre-seizure EEG recordings from epilepsy patients IEEE Eng. Med. Biol. 50 634
87. U. Lee S. Kim K.-Y. Jung 2006 Classification of epilepsy types through global network analysis of scalp electroencephalograms Phys. Rev. E 73 041920
88. T. Schreiber A. Schmitz 2000 Surrogate time series Physica D 142 346
89. R.G. Andrzejak F. Mormann G. Widmann T. Kreuz C.E. Elger K. Lehnertz 2006 Improved spatial characterization of the epileptic brain by focusing on nonlinearity Epilepsy Res. 69 30
90. M. Le Van Quyen J. Martinerie C. Adam F.J. Varela 1999 Nonlinear analyses of interictal EEG map the brain interdependences in human focal epilepsy Physica D 127 250
91. H. Osterhage F. Mormann T. Wagner K. Lehnertz 2007 Measuring the directionality of coupling: phase versus state space dynamics and application to EEG time series Int. J. Neural Syst. 17 139
92. H. Osterhage F. Mormann M. Staniek K. Lehnertz 2007 Measuring synchronization in the epileptic brain: a comparison of different approaches Int. J. Bifurc. Chaos 17 3539
93. C.A. Schevon J. Cappell R. Emerson J. Isler P. Grieve R. Goodman G. McKhann Jr. H. Weiner W. Doyle R. Kuzniecky O. Devinsky F. Gilliam 2007 Cortical abnormalities in epilepsy revealed by local EEG synchrony NeuroImage 35 140
94. E. Ben-Jacob S. Boccaletti A. Pomyalov I. Procaccia V.L. Towle 2007 Detecting and localizing the foci in human epileptic seizures Chaos 17 043113
95. E. Ben-Jacob I. Doron T. Gazit E. Rephaeli O. Sagher V.L. Towle 2007 Mapping and assessment of epileptogenic foci using frequency-entropy templates Phys. Rev. E 76 051903
96. S. Bialonski K. Lehnertz 2006 Identifying phase synchronization clusters in spatially extended dynamical systems Phys. Rev. E 74 051909
97. Y.-C. Lai M.G. Frei I. Osorio L. Huang 2007 Characterization of synchrony with applications to epileptic brain signals Phys. Rev. Lett. 98 108102
98. G.J. Ortega L. Menendez de la Prida R.G. Sola J. Pastor 2008 Synchronization clusters of interictal activity in the lateral temporal cortex of epileptic patients: intraoperative electrocorticographic analysis Epilepsia 49 269
99. H. Osterhage F. Mormann T. Wagner K. Lehnertz 2008 Detecting directional coupling in the human epileptic brain: limitations and potential pitfalls Phys. Rev. E. 77 011914
100. F. Bartolomei F. Wendling J.J. Bellanger J. Regis P. Chauvel 2001 Neural networks involving the medial temporal structures in temporal lobe epilepsy Clin. Neurophysiol. 112 1746
101. D.A. McCormick D. Contreras 2001 On the cellular and network bases of epileptic seizures Annu. Rev. Physiol. 63 815
102. S.S. Spencer 2002 Neural networks in human epilepsy: evidence of and implications for treatment Epilepsia 43 219
103. M. Guye J. Regis M. Tamura F. Wendling A. Gonigal P. Chauvel F. Bartolomei 2006 The role of corticothalamic coupling in human temporal lobe epilepsy Brain 129 1917
104. R.G. Andrzejak K. Lehnertz F. Mormann C. Rieke P. David C.E. Elger 2001 Indications of nonlinear deterministic and finite-dimensional structures in time series of brain electrical activity: dependence on recording region and brain state Phys. Rev. E 64 061907
105. J. Prusseit K. Lehnertz 2007 Stochastic qualifiers of epileptic brain dynamics Phys. Rev. Lett. 98 138103
106. R. Friedrich J. Peinke 1997 Description of the turbulent cascade by a Fokker-Planck equation Phys. Rev. Lett. 78 863
107. S. Siegert R. Friedrich J. Peinke 1998 Analysis of data sets of stochastic systems Phys. Lett. A 243 275
108. R. Friedrich S. Siegert J. Peinke S. Lück M. Siefert M. Lindemann J. Raethjen G. Deuschl G. Pfister 2000 Extracting model equations from experimental data Phys. Lett. A 271 217
109. Siegert, S., Friedrich, R., Hänggi, P.: Analysis of fluctuating data sets of diffusion processes. In: Lehnertz, K., Arnhold, J., Grassberger, P., Elger, C.E. (eds.) Chaos in Brain?, p. 226. World Scientific, Singapore (2000)
110. S.M. Rothman M.D. Smyth X.-F. Yang G.P. Peterson 2005 Focal cooling for epilepsy: an alternative therapy that might actually work Epilepsy Behav. 7 214
111. P.B. Prichard V.L. Holstrom J. Giacinto 1985 Self-abatement of complex partial seizures Ann. Neurol. 18 265
112. M.B. Sterman 2000 Basic concepts and clinical findings in the treatment of seizure disorders with EEG operant conditioning Clin. Electroencepahlogr. 31 45
113. F. Lopes da Silva W. Blanes S.N. Kalitzin J. Parra P. Suffczynski D.N. Velis 2003 Epilepsies as dynamical diseases of brain systems: basic models of the transition between normal and epileptic activity Epilepsia 44 Suppl. 12 72
114. Lennox, W.G.: Science and Seizures. Harper, New York (1946)
115. P. Suffczynski S. Kalitzin F.H. Lopes da Silva 2004 Dynamics of non-convulsive epileptic phenomena modeled by a bistable neuronal network Neuroscience 126 467
116. D. Takeshita Y.D. Sato S. Bahar 2007 Transitions between multistable states as a model of epileptic seizure dynamics Phys. Rev. E 75 051925
117. M. Müller G. Baier A. Galka U. Stephani H. Muhle 2005 Detection and characterization of changes of the correlation structure in multivariate time series Phys. Rev. E 71 046116
118. M. Müller Y.L. Jiménez C. Rummel G. Baier A. Galka U. Stephani H. Muhle 2006 Localized short-range correlations in the spectrum of the equal-time correlation matrix Phys. Rev. E 74 041119
119. C. Rummel G. Baier M. Müller 2007 Automated detection of time-dependent cross-correlation clusters in nonstationary time series Europhys. Lett. 80 68004
120. B. Litt J. Echaux 2002 Prediction of epileptic seizures Lancet Neurol. 1 22
121. B. Litt K. Lehnertz 2002 Seizure prediction and the preseizure period Curr. Opin. Neurol. 15 173
122. L.D. Iasemidis 2003 Epileptic seizure prediction and control IEEE Trans. Biomed. Eng. 50 549
123. Lehnertz, K.: Epilepsy: extreme events in the human brain. In: Albeverio, S., Jentsch, V., Kantz, H. (eds.) Extreme Events in Nature and Society, p. 123. Springer, Berlin (2006)
124. K. Lehnertz F. Mormann H. Osterhage A. Müller A. Chernihovskyi M. Staniek J. Prusseit D. Krug S. Bialonski C.E. Elger 2007 State-of-the-art of seizure prediction J. Clin. Neurophysiol. 24 147
125. Lehnertz, K., Le Van Quyen, M., Litt, B.: Seizure prediction. In: Engel, J. Jr., Pedley, T.A. (eds.) Epilepsy: A Comprehensive Textbook, 2nd edn., p. 1011. Lippincott, Williams & Wilkins, Philadelphia (2007)
126. F. Mormann C.E. Elger K. Lehnertz 2006 Seizure anticipation: from algorithms to clinical practice Curr. Opin. Neurol. 19 187
127. R.G. Andrzejak F. Mormann T. Kreuz C. Rieke A. Kraskov C.E. Elger K. Lehnertz 2003 Testing the null hypothesis of the nonexistence of a preseizure state Phys. Rev. E 67 010901
128. M. Winterhalder T. Maiwald H.U. Voss R. Aschenbrenner-Scheibe J. Timmer A. Schulze-Bonhage 2003 The seizure prediction characteristic: a general framework to assess and compare seizure prediction methods Epilepsy Behav. 3 318
129. T. Kreuz R.G. Andrzejak F. Mormann A. Kraskov H. Stögbauer C.E. Elger K. Lehnertz P. Grassberger 2004 Measure profile surrogates: a method to validate the performance of epileptic seizure prediction algorithms Phys Rev E 69 061915
130. B. Schelter M. Winterhalder T. Maiwald A. Brandt A. Schad A. Schulze-Bonhage J. Timmer 2006 Testing statistical significance of multivariate time series analysis techniques for epileptic seizure prediction Chaos 16 013108
131. S. Wong A.B. Gardner A.M. Krieger B. Litt 2007 A stochastic framework for evaluating seizure prediction algorithms using hidden Markov models J. Neurophysiol. 97 2525
132. F. Mormann R.G. Andrzejak T. Kreuz C. Rieke P. David C.E. Elger K. Lehnertz 2003 Automated preictal state detection based on a decrease in synchronization in intracranial electroencephalography recordings from epilepsy patients Phys. Rev. E 67 021912
133. M. D'Alessandro G. Vachtsevanos R. Esteller J. Echauz S. Cranstoun G. Worrell L. Parish B. Litt 2005 A multi-feature and multi-channel univariate selection process for seizure prediction Clin. Neurophysiol. 116 506
134. S. Kalitzin D. Velis P. Suffczynski J. Parra F. Lopes da Silva 2005 Electrical brain-stimulation paradigm for estimating the seizure onset site and the time to ictal transition in temporal lobe epilepsy Clin. Neurophysiol. 116 718
135. M. Le Van Quyen J. Soss V. Navarro R. Robertson M. Chavez M. Baulac J. Martinerie 2005 Preictal state identification by synchronization changes in long-term intracranial EEG recordings Clin. Neurophysiol. 116 559
136. V. Navarro J. Martinerie M. Le Van Quyen M. Baulac F. Dubeau J. Gotman 2005 Seizure anticipation: do mathematical measures correlate with video-EEG evaluation? Epilepsia 46 385
137. K. Lehnertz B. Litt 2005 The first international collaborative workshop on seizure prediction: summary and data descriptions Clin. Neurophysiol. 116 493
138. W.C. Stacey B. Litt 2008 Technology insight: neuroengineering and epilepsy-designing devices for seizure control Nat. Clin. Pract. Neurol. 4 190
139. R. Kunz R. Tetzlaff 2003 Spatio-temporal dynamics of brain electrical activity in epilepsy: analysis with Cellular Neural Networks (CNNs) J. Circuits Syst. Comput. 12 825
140. R. Sowa A. Chernihovskyi F. Mormann K. Lehnertz 2005 Estimating phase synchronization in dynamical systems using cellular nonlinear networks Phys. Rev. E 71 061926
141. D. Krug H. Osterhage C.E. Elger K. Lehnertz 2007 Estimating nonlinear interdependences in dynamical systems using cellular nonlinear networks Phys. Rev. E 76 041916
142. G. Baier R.S. Leder P. Parmananda 2000 Human electroencephalogram induces transient coherence in excitable spatiotemporal chaos Phys. Rev. Lett. 84 4501
143. A. Chernihovskyi F. Mormann M. Müller C.E. Elger G. Baier K. Lehnertz 2005 EEG analysis with nonlinear excitable media J. Clin. Neurophysiol. 22 314
144. G.K. Bergey P.J. Franaszczuk 2001 Epileptic seizures are characterized by changing signal complexity Clin. Neurophysiol. 112 241
145. S.J. Schiff T. Sauer R. Kumar S.L. Weinstein 2005 Neuronal spatiotemporal pattern discrimination: the dynamical evolution of seizures Neuroimage 28 1043
146. C.C. Jouny P.J. Franaszczuk G.K. Bergey 2003 Characterization of epileptic seizure dynamics using Gabor atom density Clin. Neurophysiol. 114 426
147. C.C. Jouny B. Adamolekun P.J. Franaszczuk G.K. Bergey 2007 Intrinsic ictal dynamics at the seizure focus: effects of secondary generalization revealed by complexity measures Epilepsia 48 297
148. K. Schindler H. Leung K. Lehnertz C.E. Elger 2007 How generalized are secondarily "generalized" tonic-clonic seizures? J. Neurol. Neurosurg. Psychiatry 78 993
149. K. Schindler C.E. Elger K. Lehnertz 2007 EEG synchronization changes during low-frequency electric stimulation of the seizure onset zone Epilepsy Res. 77 108
150. S. Boccaletti V. Latora Y. Moreno M. Chavez D.-U. Hwang 2006 Complex networks: structure and dynamics Phys. Rep. 424 175
151. J.C. Reijneveld S.C. Ponten H.W. Berendse C.J. Stam 2007 The application of graph theoretical analysis to complex networks in the brain Clin. Neurophysiol. 118 2317
152. F. Wendling 2005 Neurocomputational models in the study of epileptic phenomena J. Clin. Neurophysiol. 22 285
153. P. Suffczynski F. Wendling J.J. Bellanger 2006 Some insights into computational models of (patho)physiological brain activity Proc. IEEE 94 784
154. G. Buzsáki C. Geisler D.A. Henze X.J. Wang 2004 Interneuron diversity series: circuit complexity and axon wiring economy of cortical interneurons Trends Neurosci. 27 186
155. T.I. Netoff R. Clewley S. Arno T. Keck J.A. White 2004 Epilepsy in small-world networks J. Neurosci. 24 8075
156. B. Percha R. Dzakpasu M. Zochowski J. Parent 2005 Transition from local to global phase synchrony in small world neural network and its possible implications for epilepsy Phys. Rev. E 72 031909
157. J. Dyhrfjeld-Johnsen V. Santhakumar R.J. Morgan R. Huerta L. Tsimring I. Soltesz 2007 Topological determinants of epileptogenesis in large-scale structural and functional models of the dentate gyrus derived from experimental data J. Neurophysiol. 97 1566
158. R.J. Morgan I. Soltesz 2008 Nonrandom connectivity of the epileptic dentate gyrus predicts a major role for neuronal hubs in seizures Proc. Natl. Acad. Sci. U. S. A. 105 6179
159. S. Feldt H. Osterhage F. Mormann K. Lehnertz M. Zochowski 2007 Internetwork and intranetwork communications during bursting dynamics: applications to seizure prediction Phys. Rev. E 76 021920