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Ordinal patterns in epileptic brains: Analysis of intracranial EEG and simultaneous EEG-fMRI

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  • Applications to Real World Time Series
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Abstract

Epileptic seizures are associated with high behavioral stereotypy of the patients. In the EEG of epilepsy patients characteristic signal patterns can be found during and between seizures. Here we use ordinal patterns to analyze EEGs of epilepsy patients and quantify the degree of signal determinism. Besides relative signal redundancy and the fraction of forbidden patterns we introduce the fraction of under-represented patterns as a new measure. Using the logistic map, parameter scans are performed to explore the sensitivity of the measures to signal determinism. Thereafter, application is made to two types of EEGs recorded in two epilepsy patients. Intracranial EEG shows pronounced determinism peaks during seizures. Finally, we demonstrate that ordinal patterns may be useful for improving analysis of non-invasive simultaneous EEG-fMRI.

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References

  1. H.M. de Boer, M. Mula, J.W. Sander, Epilepsy Behav. 12, 540 (2008)

    Article  Google Scholar 

  2. R.S. Fisher, W. van Emde Boas, W. Blume, C. Elger, P. Genton, P. Lee, J.J. Engel, Epilepsia 46, 470 (2005)

    Article  Google Scholar 

  3. F. Mormann, R.G. Andrzejak, C.E. Elger, K. Lehnertz, Brain 130, 314 (2007)

    Article  Google Scholar 

  4. R.G. Andrzejak, D. Chicharro, C.E. Elger, F. Mormann, Clin. Neurophysiol. 120, 1465 (2009)

    Article  Google Scholar 

  5. K. Lin, S.R. Benbadis, Expert Rev. Neurother. 9, 781 (2009)

    Article  Google Scholar 

  6. C.E. Elger, D. Schmidt, Epilepsy Behav. 12, 501 (2008)

    Article  Google Scholar 

  7. H.O. Lüders, Textbook of Epilepsy Surgery (Informa Healthcare, London, 2008)

  8. P. Gloor, in Current Concepts in Clinical Neurophysiology, edited by D.N.J. Van Duyn and H. Donker, A.C. Van Huffelen (NV Drukker Trio, The Hague, The Netherlands, 1977), p. 9

  9. C.J. Keller, W. Truccolo, J.T. Gale, E. Eskandar, T. Thesen, C. Carlson, O. Devinsky, R. Kuzniecky, W.K. Doyle, J.R. Madsen, et al., Brain 133, 1668 (2010)

    Article  Google Scholar 

  10. A. Galka, Topics in Nonlinear Time Series Analysis: With Implications for EEG Analysis (World Scientific Publishing, Singapore, 2000)

  11. E. Pereda, R. Quian Quiroga, J. Bhattacharya, Prog. Neurobiol. 77, 1 (2005)

    Article  Google Scholar 

  12. C. Stam, Clin. Neurophysiol. 116, 2266 (2005)

    Article  Google Scholar 

  13. C. Rummel, R.G. Andrzejak, K. Schindler, Epileptologie 29, 99 (2012)

    Google Scholar 

  14. P. Brockwell, R. Davis, Time Series: Theory and Methods (Springer, New York, 1987)

  15. H. Kantz, T. Schreiber, Nonlinear Time Series Analysis, 2nd edn. (Cambridge University Press, Cambridge, 2004)

  16. K. Schindler, H. Gast, L. Stieglitz, A. Stibal, M. Hauf, R. Wiest, L. Mariani, C. Rummel, Epilepsia 52, 1771 (2011)

    Article  Google Scholar 

  17. C. Masoller, O.A. Rosso, Philos. Trans. R. Soc. A 369, 425 (2011)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  18. J. Amigo, L. Kocarev, J. Szczepanski, Phys. Lett. A 355, 27 (2006)

    Article  ADS  Google Scholar 

  19. C. Bandt, B. Pompe, Phys. Rev. Lett. 88, 174102 (2002)

    Article  ADS  Google Scholar 

  20. K. Keller, H. Lauffer, Int. J. Bifur. Chaos 13, 2657 (2003)

    Article  MathSciNet  MATH  Google Scholar 

  21. A. Groth, Phys. Rev. E 72, 046220 (2005)

    Article  ADS  Google Scholar 

  22. G. Ouyang, C. Dang, D. Richards, X. Li, Clin. Neurophysiol. 121, 694 (2010)

    Article  Google Scholar 

  23. G. Ouyang, X. Li, C. Dang, D. Richards, Phys. Rev. E 79, 041146 (2009)

    Article  ADS  Google Scholar 

  24. K. Schindler, H. Gast, M. Goodfellow, C. Rummel, Epilepsia 53, 1658 (2012)

    Article  Google Scholar 

  25. M. Zanin, L. Zunino, O.A. Rosso, D. Papo, Entropy 14, 1553 (2012)

    Article  Google Scholar 

  26. F. Rosenow, H. Lüders, Brain 124, 1683 (2001)

    Article  Google Scholar 

  27. J. Gotman, E. Kobayashi, A.P. Bagshaw, C.G. Bénar, F. Dubeau, J. Magn. Reson. Imag. 23, 906 (2006)

    Article  Google Scholar 

  28. P. Ritter, A. Villringer, Neurosci. Behav. Rev. 30, 823 (2006)

    Article  Google Scholar 

  29. M. Zijlmans, G. Huiskamp, M. Hersevoort, J.H. Seppenwoolde, A.C. van Huffelen, F.S. Leijten, Brain 130, 2343 (2007)

    Article  Google Scholar 

  30. O. Rosso, H. Larrondo, M. Martín, A. Plastino, M. Fuentes, Phys. Rev. Lett. 99, 154102 (2007)

    Article  ADS  Google Scholar 

  31. A. Kowalski, M. Martín, A. Plastino, O. Rosso, Physica D 233, 21 (2007)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  32. B. Frank, B. Pompe, U. Schneider, D. Hoyer, Med. Biol. Eng. Comput. 44, 179 (2006)

    Article  Google Scholar 

  33. J.M. Amigó, S. Zambrano, M.A.F. Sanjuán, Europhys. Lett. 79, 50001 (2007)

    Article  ADS  Google Scholar 

  34. J.M. Amigó, S. Zambrano, M.A.F. Sanjuán, Europhys. Lett. 83, 60005 (2008)

    Article  ADS  Google Scholar 

  35. J. Theiler, S. Eubank, A. Longtin, B. Galdrikian, J. Farmer, Physica D 58, 77 (1992)

    Article  ADS  MATH  Google Scholar 

  36. T. Schreiber, A. Schmitz, Physica D 142, 346 (2000)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  37. S.H. Strogatz, Nonlinear Dynamics and Chaos (Perseus Book Publishing, Cambridge, MA, 2000)

  38. G. Buzsáki, Rhythms of the Brain (Oxford University Press, New York, 2006)

  39. K. Schindler, F. Amor, H. Gast, M. Müller, A. Stibal, L. Mariani, C. Rummel, Epilepsy Res. 89, 72 (2010)

    Article  Google Scholar 

  40. K. Jann, R. Wiest, M. Hauf, K. Meyer, C. Boesch, J. Mathis, G. Schroth, T. Dierks, T. Koenig, NeuroImage 42, 635 (2008)

    Article  Google Scholar 

  41. M. Hauf, K. Jann, K. Schindler, O. Scheidegger, K. Meyer, C. Rummel, L. Mariani, T. Koenig, R. Wiest, Am. J. Neuroradiol. 33, 1818 (2012)

    Article  Google Scholar 

  42. M. Hauf, O. Scheidegger, C. Rummel, A. Rahman, R. Wiest, Epileptologie 29, 90 (2012)

    Google Scholar 

  43. A. Delorme, S. Makeig, J. Neurosci. Meth. 134, 9 (2004)

    Article  Google Scholar 

  44. C. Juhász, F. Nagy, C. Watson, E.A. da Silva, O. Muzik, D.C. Chugani, J. Shah, H.T. Chugani, Neurology 53, 2037 (1999)

    Article  Google Scholar 

  45. S. Dreifuss, F.J. Vingerhoets, F. Lazeyras, S.G. Andino, L. Spinelli, J. Delavelle, M. Seeck, Neurology 57, 1636 (2001)

    Article  Google Scholar 

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Rummel, C., Abela, E., Hauf, M. et al. Ordinal patterns in epileptic brains: Analysis of intracranial EEG and simultaneous EEG-fMRI. Eur. Phys. J. Spec. Top. 222, 569–585 (2013). https://doi.org/10.1140/epjst/e2013-01860-9

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  • DOI: https://doi.org/10.1140/epjst/e2013-01860-9

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