IDENTIFICATION OF DYNAMIC PATTERNS OF BODY SWAY DURING QUIET STANDING: IS IT A NONLINEAR PROCESS?

HAMED GHOMASHCHI
Faculty of Biomedical Engineering,
Islamic Azad University,
Tehran Science & Research Branch, Tehran, Iran
h ghomashchi@yahoo.com

ALI ESTEKI
Department of Biomedical Engineering,
Faculty of Medicine, Medical Campus,
Shahid Beheshti University, Tehran, Iran
aesteki@sbmu.ac.ir

JULIEN CLINTON SPROTT
Department of Physics, University of Wisconsin,
Madison, WI 53706, USA
csprott@physics.wisc.edu

ALI MOTIE NASRABADI
Department of Biomedical Engineering,
Faculty of Engineering,
Shahed University, Tehran, Iran
nasrabadi@shahed.ac.ir

Received June 5, 2009; Revised August 5, 2009

ABSTRACT

During quiet standing, the human body continuously moves about an upright posture in an erratic fashion. Many researchers characterize postural fluctuations as a stochastic process while some others suggest chaotic dynamics for postural sway. In this study, first we examined these assumptions using principles of chaos theory in normal healthy and in patients with deteriorated postural control mechanisms. Next, we compared the ability of a nonlinear dynamics quantifier correlation dimension to that of a linear measure standard deviation to describe variability of healthy and deteriorated postural control mechanisms during quiet standing. Our findings did not provide convincing evidence for existence of low dimensional chaos within normal and abnormal sway dynamics but support the notion that postural fluctuations time series are distinguishable from these generated by a random process. The results indicated that although linear variability measures discriminated well between groups, they did not provide any information about the structure of postural fluctuations. Calculated correlation dimension as a complexity measure which describes spatio temporal organization of time series may be useful in this regard.

Ref: H. Ghomashchi, A. Esteki,  J. C. Sprott, and A. M. Nasrabadi, International Journal of Bifurcation and Chaos 20, 1269-1278 (2010)

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