Clinical Neurophysiology
Volume 110, Issue 10 , Pages 1726-1740 , 1 October 1999

Non-linear analysis of intracranial human EEG in temporal lobe epilepsy

  • M.J.van der Heyden

      Affiliations

    • Department of Physiology, Leiden University, PO Box 9604, 2300 RC Leiden, The Netherlands
    • ,
  • D.N. Velis

      Affiliations

    • Instituut voor Epilepsiebestrijding, ‘Meer en Bosch’/‘De Cruquiushoeve’, Heemstede, The Netherlands
    • ,
  • B.P.T. Hoekstra

      Affiliations

    • Department of Physiology, Leiden University, PO Box 9604, 2300 RC Leiden, The Netherlands
    • ,
  • J.P.M. Pijn

      Affiliations

    • Deceased.
    • Instituut voor Epilepsiebestrijding, ‘Meer en Bosch’/‘De Cruquiushoeve’, Heemstede, The Netherlands
    • ,
  • W. van Emde Boas

      Affiliations

    • Instituut voor Epilepsiebestrijding, ‘Meer en Bosch’/‘De Cruquiushoeve’, Heemstede, The Netherlands
    • ,
  • C.W.M. van Veelen

      Affiliations

    • Department of Neurosurgery, University Hospital Utrecht, Utrecht, The Netherlands
    • ,
  • P.C. van Rijen

      Affiliations

    • Department of Neurosurgery, University Hospital Utrecht, Utrecht, The Netherlands
    • ,
  • F.H. Lopes da Silva

      Affiliations

    • Instituut voor Epilepsiebestrijding, ‘Meer en Bosch’/‘De Cruquiushoeve’, Heemstede, The Netherlands
    • ,
  • J. DeGoede

      Affiliations

    • Department of Physiology, Leiden University, PO Box 9604, 2300 RC Leiden, The Netherlands
    • Corresponding Author InformationCorresponding author. Tel.: +-31-71-527-67-83; fax: +31-71-527-67-82

,Accepted 16 April 1999.

References 

  1. Abarbanel HDI, Brown R, Sidorowich JJ, Tsimring LSh. The analysis of observed chaotic data in physical systems. Rev Mod Phys. 1993;64(4):1331–1392
  2. Anokhin AP, Birbaumer N, Lutzenberger W, Nikolaev A, Vogel F. Age increases brain complexity. Electroenceph clin Neurophysiol. 1996;99:63–68
  3. Babloyantz A, Destexhe A. Low-dimensional chaos in an instance of epilepsy. Proc Natl Acad Sci USA. 1986;83:3513–3517
  4. Besthorn C, Sattel H, Geiger-Kabisch C, Zerfass R, Förstl H. Parameters of EEG dimensional complexity in Alzheimer's disease. Electroenceph clin Neurophysiol. 1995;95:84–89
  5. Brekelmans GJF, Van Emde Boas W, Velis DN, Van Huffelen AC, Debets RMChr, Van Veelen CWM. Mesial temporal versus neocortical temporal lobe seizures: demonstration of different electroencephalographic spreading patterns by combined use of subdural and intracerebral electrodes.. J Epilepsy. 1995;8:309–320
  6. Casdagli MC, Iasemidis LD, Savit RS, Gilmore RL, Roper SN, Sackellares JC. Non-linearity in invasive EEG recordings from patients with temporal lobe epilepsy. Electroenceph clin Neurophysiol. 1997;102:98–105
  7. Diks C, Van Houwelingen JC, Takens F, DeGoede J. Reversibility as a criterion for discriminating time series. Phys Lett A. 1995;201:221–228
  8. Dünki RM. The estimation of the Kolmogorov entropy from a time series and its limitations when performed on EEG. Bull Math Biol. 1991;53:665–678
  9. Egolf DA, Greenside HS. Relation between fractal dimension and spatial correlation length for extensive chaos. Nature. 1994;369:129–131
  10. Elbert T, Ray WJ, Kowalik ZJ, Skinner JE, Graf KE, Birbaumer N. Chaos and physiology: deterministic chaos in excitable cell assemblies. Physiol Rev. 1994;74:1–47
  11. Engel Jr J. Outcome with respect to epileptic seizures. In:  Engel Jr J editors. Surgical treatment of the epilepsies. 2nd ed.. New York: Raven Press; 1987;p. 553–571
  12. Fell J, Röschke J, Mann K, Schäffner C. Discrimination of sleep stages: a comparison between spectral and nonlinear EEG measures. Electroenceph clin Neurophysiol. 1996;98:401–410
  13. Frank GW, Lookman T, Nerenberg MAH, Essex C, Lemieux J, Blume W. Chaotic time series analyses of epileptic seizures. Physica D. 1990;46:427–438
  14. Fraser AM, Swinney HL. Independent coordinates for strange attractors from mutual information. Phys Rev A. 1986;33:1134–1140
  15. Gerritsen FA, Van Veelen CWM, Mali WPThM, Bart AJM, de Blieck HLT, Buurman J, et al. Some requirements for and experience with Covira algorithms for registration and segmentation. In:  Beolchi L,  Kuhn MH editor. Medical imaging: analysis of multimodality 2D/3D images. Technology and Informatics. Amsterdam: IOS Press; 1995;
  16. Golomb D, Wang XJ, Rinzel J. Propagation of spindle waves in a thalamic slice model. J Neurophysiol. 1994;75:750–769
  17. Grassberger P, Procaccia I. Measuring the strangeness of strange attractors. Physica D. 1983;9:189–208
  18. Grassberger P, Procaccia I. Estimation of the Kolmogorov entropy from a chaotic signal. Phys Rev A. 1983;28:2591–2593
  19. Hoekstra BPT, Diks CGH, Allessie MA, DeGoede J. Nonlinear analysis of epicardial atrial electrograms of electrically induced atrial fibrillation in man. J Cardiovasc Electrophysiol. 1995;6:419–440
  20. Hoekstra BPT, Diks CGH, Allessie MA, DeGoede J. Nonlinear analysis of the pharmacological conversion of sustained atrial fibrillation in conscious goats by the class Ic drug cibenzoline. Chaos. 1997;7:430–446
  21. 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
  22. Kantz H, Schreiber T. Dimension estimates and physiological data. Chaos. 1995;5:143–154
  23. Kim YW, Krieble KK, Kim CB, Reed J, Rae-Grant AD. Differentiation of alpha coma from awake alpha by nonlinear dynamics of electroencephalography. Electroenceph clin Neurophysiol. 1996;98:35–41
  24. Krystal AD, Greenside HS, Weiner RD, Gassert D. A comparison of EEG signal dynamics in waking, after anesthesia induction and during electroconvulsive therapy seizures. Electroenceph clin Neurophysiol. 1996;99:129–140
  25. Lachenbruch, P.A., Discriminant analysis, New York: Haffner Press, 1975.
  26. Lehnertz K, Elger CE. Spatio-temporal dynamics of the primary epileptogenic area in temporal lobe epilepsy characterized by neuronal complexity loss. Electroenceph clin Neurophysiol. 1995;95:108–117
  27. Lopes da Silva FH, Kamphuis W, Wadman WJ. Epileptogenesis as a plastic phenomenon of the brain, a short review. Acta Neurol Scand. 1992;86:34–400
  28. Lopes da Silva FH. EEG analysis: theory and practice. In:  Niedermeyer E,  Lopes da Silva FH editor. Electroencephalography: basic principles, clinical applications and related fields. Baltimore: Williams and Wilkins; 1993;
  29. Lytton WW, Contreras D, Destexhe A, Steriade M. Dynamic interactions determine partial thalamic quiescence in a computer network model of spike-and-wave seizures. J Neurophysiol. 1997;77:1679–1696
  30. Pijn JP, Van Neerven J, Noest A. Lopes da Silva. F.H., Chaos or noise in EEG signals: dependence on state and brain site. Electroenceph clin Neurophysiol. 1991;79:371–381
  31. Pijn JPM, Velis DN, Van der Heyden MJ, DeGoede J, Van Veelen CWM. Lopes da Silva. F.H., Nonlinear dynamics of epileptic seizures on basis of intracranial EEG recordings. Brain Topogr. 1997;9:249–270
  32. Pincus SM, Gladstone IM, Ehrenkranz RA. A regularity statistic for medical data analysis. J Clin Monit. 1991;7:335–345
  33. Pincus SM. Greater signal regularity may indicate increased system isolation. Mat Biosci. 1994;122:161–181
  34. Pritchard WS, Duke DW. Measuring chaos in the brain: a tutorial review of nonlinear dynamical EEG analysis. Intern J Neurosci. 1992;67:31–80
  35. Rapp PE, Zimmerman ID, Vining EP, Cohen N, Albano AM, Jimenez-Montano MA. The algorithmic complexity of neural spike trains increases during focal seizures. J Neurosci. 1994;14:4731–4739
  36. Rombouts SARB, Keunen RWM, Stam CJ. Investigation of nonlinear structure in multichannel EEG. Phys Lett A. 1995;202:352–358
  37. Schouten JC, Takens F, Van der Bleek CM. Estimation of the dimension of a noisy attractor. Phys Rev E. 1994;50:1851–1861
  38. Takens F. In:  Rand RA,  Young LS editor. Detecting strange attractors in turbulence. In: Dynamical systems and turbulence, Lecture Notes in Mathematics. 893:Berlin: Springer; 1981;p. 366–381
  39. Takens F. Detecting nonlinearities in stationary time series. Intern J Bifurc Chaos. 1993;3:241–256
  40. Theiler J, Rapp PE. Re-examination of the evidence for low-dimensional, nonlinear structure in the human electroencephalogram. Electroenceph clin Neurophysiol. 1996;98:213–222
  41. Theiler J, Eubank S, Longtin A, Galdrikian B, Farmer JD. Testing for nonlinearity in time series: the method of surrogate data. Physica D. 1992;58:77–94
  42. Theiler J. Spurious dimensions from correlation algorithms applied to limited time-series data. Phys Rev A. 1986;34:2427–2432
  43. Traub RD, Miles R, Wong RKS. Models of synchronized hippocampal bursts in the presence of inhibition. I. Single population events. J Neurophysiol. 1987;58:739–751
  44. Traub RD, Miles R, Wong RKS. Models of synchronized hippocampal bursts in the presence of inhibition. II. Ongoing spontaneous events. J Neurophysiol. 1987;58:752–764
  45. Tsimring LS. Nested strange attractors in spatiotemporal chaotic systems. Phys Rev E. 1993;48:3421–3426
  46. Van der Heyden MJ, Diks C, Pijn JPM, Velis DN. Time reversibility of intracranial human EEG recordings in temporal lobe epilepsy.. Phys Lett A. 1996;216:283–288
  47. Van Veelen CWM, Debets RMChr, Van Huffelen AC, Van Emde Boas W, Binnie CD, Storm Van Leeuwen W, et al. Combined use of subdural and intracerebral electrodes in pre-operative evaluation of epilepsy.. Neurosurgery. 1990;26:93–101
  48. Velis DN. Dutch collaborative epilepsy surgery program. In: Engel J Jr, editor. Surgical treatment of the epilepsies; second ed. New York: Raven Press. 1993;pp. 711, 712
  49. Wang XJ. Multiple dynamical modes of thalamic relay neurons: rhythmic bursting and intermittent phase-locking. Neuroscience. 1994;59:21–31
  50. Wyler AR, Dohan JrFC, Schweitzer JB, Berry AD. A grading system for mesial temporal pathology (hippocampal sclerosis) from anterior temporal lobectomy. J Epilepsy. 1992;5:220–225

PII: S1388-2457(99)00124-8

Clinical Neurophysiology
Volume 110, Issue 10 , Pages 1726-1740 , 1 October 1999

Article Tools

* Image Usage & Resolution