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香农熵和瑞尼熵分类轻度创伤性脑损伤对姿势摆动的影响。

Shannon and Renyi entropies to classify effects of Mild Traumatic Brain Injury on postural sway.

机构信息

PMB Intelligence LLC, West Lafayette, Indiana, United States of America.

出版信息

PLoS One. 2011;6(9):e24446. doi: 10.1371/journal.pone.0024446. Epub 2011 Sep 9.

Abstract

BACKGROUND

Mild Traumatic Brain Injury (mTBI) has been identified as a major public and military health concern both in the United States and worldwide. Characterizing the effects of mTBI on postural sway could be an important tool for assessing recovery from the injury.

METHODOLOGY/PRINCIPAL FINDINGS: We assess postural sway by motion of the center of pressure (COP). Methods for data reduction include calculation of area of COP and fractal analysis of COP motion time courses. We found that fractal scaling appears applicable to sway power above about 0.5 Hz, thus fractal characterization is only quantifying the secondary effects (a small fraction of total power) in the sway time series, and is not effective in quantifying long-term effects of mTBI on postural sway. We also found that the area of COP sensitively depends on the length of data series over which the COP is obtained. These weaknesses motivated us to use instead Shannon and Renyi entropies to assess postural instability following mTBI. These entropy measures have a number of appealing properties, including capacity for determination of the optimal length of the time series for analysis and a new interpretation of the area of COP.

CONCLUSIONS

Entropy analysis can readily detect postural instability in athletes at least 10 days post-concussion so that it appears promising as a sensitive measure of effects of mTBI on postural sway.

AVAILABILITY

The programs for analyses may be obtained from the authors.

摘要

背景

轻度创伤性脑损伤(mTBI)在美国和全球范围内都被认为是一个主要的公共和军事健康问题。描述 mTBI 对姿势摆动的影响可能是评估损伤恢复的重要工具。

方法/主要发现:我们通过压力中心(COP)的运动来评估姿势摆动。数据减少的方法包括计算 COP 的面积和 COP 运动时间序列的分形分析。我们发现分形标度似乎适用于大约 0.5 Hz 以上的摆动功率,因此分形特征仅量化了摆动时间序列中的次要效应(总功率的一小部分),并且无法有效量化 mTBI 对姿势摆动的长期影响。我们还发现 COP 的面积敏感地依赖于获取 COP 的数据系列的长度。这些弱点促使我们使用香农和 Renyi 熵来评估 mTBI 后姿势不稳定。这些熵测度具有许多吸引人的特性,包括确定用于分析的时间序列的最佳长度的能力,以及 COP 面积的新解释。

结论

熵分析可以很容易地检测出至少 10 天后脑震荡运动员的姿势不稳定,因此它似乎是一种敏感的 mTBI 对姿势摆动影响的测量方法。

可用性

分析程序可以从作者处获得。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/2e57/3170368/b0d3dcba43c6/pone.0024446.g001.jpg

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