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Volume of confidence ellipsoid: a technique for quantifying trunk sway during stance

  • Patrik Kutilek , Ondrej Cakrt , Vladimir Socha EMAIL logo and Karel Hana

Abstract

The position of the trunk can be negatively affected by many diseases. This work focuses on a noninvasive method of quantifying human postural stability and identifying defects in balance and coordination as a result of the nervous system pathology. We used a three-degree-of-freedom orientation tracker (Xsens MTx unit) placed on a patient’s trunk and measured three-dimensional (3-D) data (pitch, roll, and yaw) during quiet stance. The principal component analysis was used to analyze the data and to determine the volume of 3-D 95% confidence ellipsoid. Using this method, we were able to model the distribution of the measured 3-D data (pitch, roll, and yaw). Eight patients with degenerative cerebellar disease and eight healthy subjects in this study were measured during stance, with eyes open and eyes closed, and statistical analysis was performed. The results of the new method based on the 3-D confidence ellipsoid show that the volumes related to the patients are significantly larger than the volumes related to the healthy subjects. The concept of confidence ellipsoid volume, although known to the biomechanics community, has not been used before to study the postural balance problems. The method can also be used to study, for example, head and pelvis movements or alignments during stance.


Corresponding author: Vladimir Socha, Faculty of Biomedical Engineering, Czech Technical University in Prague, Sitna Sq. 3105, 272 01 Kladno, Czech Republic, Phone: +420 728 442 118, +421 907 253 428, Fax: +420 312 608 204, E-mail:

Acknowledgments

This work was performed in the Joint Department of the Faculty of Biomedical Engineering CTU and Charles University in Prague in the framework of research program no. VG20102015002 (2010–2015, MV0/VG), sponsored by the Ministry of the Interior of the Czech Republic, and project SGS 14/094/OHK4/1T/17 CTU Prague. The authors would like to thank Andrej Madoran, B.A. for the translation of this work.

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Received: 2014-2-2
Accepted: 2014-12-8
Published Online: 2015-1-15
Published in Print: 2015-4-1

©2015 by De Gruyter

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