Fractal fluctuations in transcranial Doppler signals

B. J. West, R. Zhang, A. W. Sanders, S. Miniyar, J. H. Zuckerman, B. D. Levine

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

Cerebral blood flow (CBF) velocity measured using transcranial Doppler ultrasonography (TCD) is not strictly constant, but has both a systematic and random component. This behavior may indicate that the axial blood flow in the middle cerebral artery is a chaotic process. Herein we use the relative dispersion, the ratio of the standard deviation to the mean, to show by systematically aggregating the data that the correlation in the beat-to-beat CBF time series is a modulated inverse power law. This scaling of the CBF time series indicates the existence of long-time memory in the underlying control process. We argue herein that the control system has allometric properties that enable it to maintain a relatively constant brain perfusion.

Original languageEnglish (US)
Pages (from-to)3492-3498
Number of pages7
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume59
Issue number2-3
StatePublished - Mar 1999

Fingerprint

blood flow
Blood Flow
Doppler
Fractal
fractals
Fluctuations
Flow Time
Beat
synchronism
Time series
Arteries
arteries
Process Control
Standard deviation
brain
standard deviation
Power Law
Strictly
flow velocity
Control System

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

Cite this

Fractal fluctuations in transcranial Doppler signals. / West, B. J.; Zhang, R.; Sanders, A. W.; Miniyar, S.; Zuckerman, J. H.; Levine, B. D.

In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 59, No. 2-3, 03.1999, p. 3492-3498.

Research output: Contribution to journalArticle

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