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Open AccessArticle

The Static Standing Postural Stability Measured by Average Entropy

1
Department of Electrophyics, National Chiao Tung University, Hsinchu 30010, Taiwan
2
Department of Industrial Engineering and Engineering Management, National Tsing-Hua University, Hsinchu 30013, Taiwan
3
Department of Photonics, National Chiao Tung University, Hsinchu 30010, Taiwan
*
Author to whom correspondence should be addressed.
Entropy 2019, 21(12), 1210; https://doi.org/10.3390/e21121210
Received: 18 October 2019 / Revised: 27 November 2019 / Accepted: 5 December 2019 / Published: 10 December 2019
Static standing postural stability has been measured by multiscale entropy (MSE), which is used to measure complexity. In this study, we used the average entropy (AE) to measure the static standing postural stability, as AE is a good measure of disorder. The center of pressure (COP) trajectories were collected from 11 subjects under four kinds of balance conditions, from stable to unstable: bipedal with open eyes, bipedal with closed eyes, unipedal with open eyes, and unipedal with closed eyes. The AE, entropy of entropy (EoE), and MSE methods were used to analyze these COP data, and EoE was found to be a good measure of complexity. The AE of the 11 subjects sequentially increased by 100% as the balance conditions progressed from stable to unstable, but the results of EoE and MSE did not follow this trend. Therefore, AE, rather than EoE or MSE, is a good measure of static standing postural stability. Furthermore, the comparison of EoE and AE plots exhibited an inverted U curve, which is another example of a complexity versus disorder inverted U curve. View Full-Text
Keywords: center of pressure (COP); average entropy (AE); entropy of entropy (EoE); multiscale entropy (MSE); inverted U curve; biological disorder; biological complexity center of pressure (COP); average entropy (AE); entropy of entropy (EoE); multiscale entropy (MSE); inverted U curve; biological disorder; biological complexity
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Wei, S.-Y.; Hsu, C.F.; Lee, Y.-J.; Hsu, L.; Chi, S. The Static Standing Postural Stability Measured by Average Entropy. Entropy 2019, 21, 1210.

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