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Propagation of Electrical Activity: Nonlinear Associations and Time Delays between EEG Signals

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Part of the Brain Dynamics book series (BD)

Abstract

To assess how dynamic patterns of activity are established in the brain, the recording of EEG or MEG signals is important, since these signals give information about the activity of brain regions on a millisecond basis. Such assessment is of practical importance in a number of conditions, both in healthy subjects, for example, when the activity of brain regions during cognitive tasks or motor acts is investigated, and in patients, for example, when the propagation of epileptiform activity from a focus is to be determined. Here we present and discuss a methodology that enables us to analyze the propagation of electrical activity from one brain structure to other structures on the basis of intracranial EEG recordings. There are two problems with this methodology. The first problem is to determine whether the sources that generate the EEG signals are related to each other or are independently active. The second problem is to determine, in the case of related signals (or sources), whether the activity of one source occurs in a fixed time sequence in relation to that of the other (in which case a delay may be expected between the signals due to the finite propagation velocity of electrical activity in the brain).

If a signal from a source is related to another signal and yet an unknown delay exists between them, any method of analysis used to determine the relationship between the signals (sources) ought to take into account not only the (unknown) delay but also the type of relationship. These two aspects are interrelated. Moreover, to obtain a good understanding of the process that take place in the brain during propagation of electrical activity, knowledge of both the strenght of relationship and of the delay between the signals (sources) is necessary. This point is elaborated upon in the present article. We developed a method by means of which relationships between signals can be estimated with a minimum number of restricted conditions on the nature of such a relationship.

Keywords

  • Electrical Activity
  • Association Function
  • Regression Curve
  • Transmission Delay
  • Epileptiform Activity

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  • Allen PJ, Smith SJM, Scott CA (1992): Measurement of interhemispheric time differences in generalized spike-and-wave. Electroenceph Clin Neurophysiol 82:81–84

    CrossRef  Google Scholar 

  • Brazier MAB (1972): Interactions of deep structures during seizures in man. In: Synchronization of EEG Activity in Epilepsies, Petsche P, Brazier MAB, eds. Berlin: Springer-Verlag

    Google Scholar 

  • Callaway E, Harris PR (1974): Coupling between cortical potentials from different areas. Science 183:873–875

    CrossRef  Google Scholar 

  • Cohn R, Leader HS (1967): Synchronization characteristics of paroxysmal EEG activity. Electroenceph Clin Neurophysiol 22:421–428

    CrossRef  Google Scholar 

  • De Lima VMF, Pijn JP, Filipe CN, Lopes da Silva FH (1990): The role of hippocampal commissures in the interhemispheric transfer of epileptiform afterdischarges in the rat: A study using linear and nonlinear regression analysis. Electroenceph Clin Neurophysiol 76:520–539

    CrossRef  Google Scholar 

  • Ende HW van den (1973): Beschriftende statistiek voor gedragswetenschappen. Amsterdam: Elsevier

    Google Scholar 

  • Gel’fand IM, Yaglom AM (1959): Calculation of the amount of information about a random function contained in another such function. American Mathematical Society Translations 12:199–246

    Google Scholar 

  • Gevins AS, Cutillo BA (1986): Signals of cognition. In: Clinical Applications of Computer Analysis of EEG and Other Neurophysiological Signals, Revised Series, Vol. 2, Handbook of Electroencephalography and Clinical Neurophysiology, Lopes da Silva FH, Storm van Leeuwen W, Rémond A, eds. Amsterdam: Elsevier

    Google Scholar 

  • Gevins AS, Rémond A (1986): Methods of analysis of brain electrical and magnetic signals. In: Handbook of Electroencephalography and Clinical Neurophysiology, Revised Series, Vol. 1, Gevins AS, Rémond A, eds. Amsterdam: Elsevier

    Google Scholar 

  • Gotman J (1981): Interhemispheric relations during bilateral spike and wave activity. Epilepsia 22:453–466

    CrossRef  Google Scholar 

  • Gotman J (1983): Measurement of small time differences between EEG channels: Method and application to epileptic seizure propagation. Electroenceph Clin Neurophysiol 56:501–514

    CrossRef  Google Scholar 

  • Gotman J (1987): Interhemispheric interactions in seizures of focal onset: Data from human intracranial recordings. Electroenceph Clin Neurophysiol 67:120–133

    CrossRef  Google Scholar 

  • Gotman J, Burgess R, Darcey T, Hasner R, Ives J, Lesser R, Pijn JP, Velis DN (1993): Computer applications. In: Surgical Treatment of the Epilepsies, 2nd ed., Engel J Jr, ed. New York: Raven Press (in press)

    Google Scholar 

  • Guilford JP, Fruchter B (1985): Fundamental Statistics in Psychology and Education, 6th ed. New York: McGraw-Hill

    Google Scholar 

  • Lieb JP, Engel J Jr, Babb TL (1986): Interhemispheric propagation times of human hippocampal seizures. I. Relationship to surgical outcome. Epilepsia 27:286–293

    CrossRef  Google Scholar 

  • Lieb JP, Hoque K, Skomer CE, Song XW (1987): Interhemispheric propagation of human mesial temporal lobe seizure: A coherence/phase analysis. Electroenceph Clin Neurophysiol 67:101–119

    CrossRef  Google Scholar 

  • Lopes da Silva FH (1987): EEG analysis: Theory and practice. In: Electroencephalography Basic Principles, Clinical Applications and Related Fields, 2nd ed., Niedermeyer E, Lopes da Silva FH, eds. Baltimore: Urban & Schwarzenberg

    Google Scholar 

  • Mars NJI, Lopes da Silva FH (1983): Propagation of seizure activity in kindled dogs. Electroenceph Clin Neurophysiol 56:194–209

    CrossRef  Google Scholar 

  • Mars NJI, Lopes da Silva FH (1987): EEG analysis methods based on information theory. In: Handbook of Electroencephalography and Clinical Neurophysiology, Revised Series, Vol. 1, Gevins AS, Rémond A, eds. Amsterdam: Elsevier

    Google Scholar 

  • Mars NJI, Lopes da Silva FH, Van Hulten K, Lommen JG (1977): Computer assisted analysis of EEGs during seizures; localization of an epileptogenic area. Electroenceph Clin Neurophysiol 43:575

    Google Scholar 

  • Mars NJI, Thompson PM, Wilkus RJ (1985): The spread of epileptic seizure activity in humans. Epilepsia 26:85–94

    CrossRef  Google Scholar 

  • Mars NJI, Van Arragon GW (1982): Time delay estimation in non-linear systems using average amount of mutual information analysis. Signal Processing 4:139–153

    CrossRef  Google Scholar 

  • Moddemeijer R (1989): Delay-estimation with application to electroencephalograms in epilepsy. Thesis, 1989. Enschede, The Netherlands: Repro University of Twente

    Google Scholar 

  • Pfurtscheller G (1972): Some results of the analysis of epileptic seizure patterns by correlation-methods. In: Synchronization of EEG Activity in Epilepsies, A symposium organized by the Austrian Academy of Sciences, September 1971, Petsche P, Brazier MAB, eds. Berlin: Springer-Verlag

    Google Scholar 

  • Pijn JPM (1990): Quantitative evaluation of EEG signals in epilepsy; nonlinear associations, time delays and nonlinear dynamics. Thesis, University of Amsterdam; Amsterdam: Rodopi

    Google Scholar 

  • Pijn JPM, Vijn PCM, Lopes da Silva FH, De Lima VMF (1989): Evolution of interactions between brain structures during an epileptic seizure in a kindled rat. In: Advances in Epileptology, Manelis J, Bental E, Loeber JN, Dreifuss FE, eds. New York: Raven Press

    Google Scholar 

  • Rao CR (1961): Linear Statistical Inference and Its Applications. Chichester: John Wiley & Sons

    Google Scholar 

  • Risinger MW, Engel J, Jr, Van Ness PC, Henry TR, Crandall PH (1989): Ictal localization of temporal lobe seizures with scalp/sphenoidal recordings. Neurology 39:1288–1293

    CrossRef  Google Scholar 

  • Shannon CE, Weaver W (1949): The Mathematical Theory of Communication. Urbana, II: University of Illinois Press

    Google Scholar 

  • Shaw JC, Ongley C (1971): The measurement of synchronization. In: Synchronization of EEG Activity in Epilepsies, A symposium organized by the Austrian Academy of Sciences, September 1971, Petsche P, Brazier MAB, eds. Berlin: Springer-Verlag

    Google Scholar 

  • Van Veelen CWM, Debets RM, Van Huffelen AC, Van Emde Boas W, Binnie C, Storm van Leeuwen W, Velis DN, Van Dieren A (1990): Combined use of subdural and intracerebral electrodes in preoperative evaluation of epilepsy. Neurosurgery 26:93–101

    CrossRef  Google Scholar 

  • Winer BJ (1971): Statistical Principles in Experimental Design. Second ed. New York: McGraw-Hill

    Google Scholar 

Download references

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Pijn, J.P., Lopes da Silva, F. (1993). Propagation of Electrical Activity: Nonlinear Associations and Time Delays between EEG Signals. In: Zschocke, S., Speckmann, EJ. (eds) Basic Mechanisms of the EEG. Brain Dynamics. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0341-4_4

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  • DOI: https://doi.org/10.1007/978-1-4612-0341-4_4

  • Publisher Name: Birkhäuser, Boston, MA

  • Print ISBN: 978-1-4612-6715-7

  • Online ISBN: 978-1-4612-0341-4

  • eBook Packages: Springer Book Archive