Analysis of Periodic Waveforms of Brain Element Oscillations

  • E. A. Bunt
  • K. Lewer Allen
Conference paper


For the complete analysis of the complex waveforms (assumed sinusoidal) apparent from a CAT scan investigation of brain movement and density [1, 2] and in brain pressure and compliance data revealed by the infusion technique [3], where more than one waveform may be present, a straightforward analytical procedure involving the determination of frequencies, amplitudes and phase differences is required. The frequency determination method set forth by Worthing and Geffner [4] is extremely time-consuming and for preference requires an advance estimate of the frequencies present. The method set forth here is direct; it relies on numerical procedures readily available in the STATGRAPHICS computer routine [5], and leads to the determination of frequency, amplitude and phase differences of as many sinusoidal waveforms as may be identified. The procedure facilitates testing the hypothesis of periodicity underlying natural rhythms.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Allen KL, Bunt EA (1979) Computerised tomography study of human brain movement, Paper 82.1, Combined Meeting of XII International Conference on Medical and Biological Engineering and V International Conference of Medical Physics, JerusalemGoogle Scholar
  2. 2.
    Allen KL, Bunt EA (1985) Rhythmic brain movement and density variations shown by rapid sequential CT scanning in the human subject. In: Miller JD, Teasdale GM, Rowan JO, Galbraith SL, Mendelow AD (eds) Intracranial Pressure VI. Springer, Berlin Heidelberg New York TokyoGoogle Scholar
  3. 3.
    Allen KL, Bunt EA (1988) Slow oscillation of compliance and pressure rate in the naturally closed cranio-spinal system. In: Hoff JT, Betz AL (eds) Intracranial Pressure VII. Springer, Berlin Heidelberg New York London Paris Tokyo Hong KongGoogle Scholar
  4. 4.
    Worthing AG, Geffner J (1959) Treatment of Experimental Data, New York, Wiley, p 294Google Scholar
  5. 5.
    STATGRAPHICS, STSC Inc., 2115 E Jefferson St, Rockville, MD 20852, USAGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1993

Authors and Affiliations

  • E. A. Bunt
    • 1
  • K. Lewer Allen
    • 2
  1. 1.Rand Afrikaans UniversityJohannesburgSouth Africa
  2. 2.Formerly Head of Department of NeurosurgeryUniversity of the WitwatersrandJohannesburgSouth Africa

Personalised recommendations