1 Ben-Gurion University of the Negev, Beer-Sheva, Israel.
2 Ariel University, Israel.
Neurorehabil Neural Repair. 2019 Feb;33(2):141-152. doi: 10.1177/1545968319826050.
Spasticity is common in patients with stroke, yet current quantification methods are insufficient for determining the relationship between spasticity and voluntary movement deficits. This is partly a result of the effects of spasticity on spatiotemporal characteristics of movement and the variability of voluntary movement. These can be captured by Gaussian mixture models (GMMs).
To determine the influence of spasticity on upper-limb voluntary motion, as assessed by the bidirectional Kullback-Liebler divergence (BKLD) between motion GMMs.
A total of 16 individuals with subacute stroke and 13 healthy aged-equivalent controls reached to grasp 4 targets (near-center, contralateral, far-center, and ipsilateral). Two-dimensional GMMs (angle and time) were estimated for elbow extension motion. BKLD was computed for each individual and target, within the control group and between the control and stroke groups. Movement time, final elbow angle, average elbow velocity, and velocity smoothness were computed.
Between-group BKLDs were much larger than within control-group BKLDs. Between-group BKLDs for the near-center target were lower than those for the far-center and contralateral targets, but similar to that for the ipsilateral target. For those with stroke, the final angle was lower for the near-center target, and the average velocity was higher. Velocity smoothness was lower for the near-center than for the ipsilateral target. Elbow flexor and extensor passive muscle resistance (Modified Ashworth Scale) strongly explained BKLD values.
Results support the view that individuals with poststroke spasticity have a velocity-dependent reduction in active elbow joint range and that BKLD can be used as an objective measure of the effects of spasticity on reaching kinematics.
痉挛是中风患者的常见症状,但目前的量化方法不足以确定痉挛与随意运动缺陷之间的关系。这在一定程度上是由于痉挛对运动时空特征和随意运动的可变性的影响。这些可以通过高斯混合模型(GMM)来捕捉。
通过双向 Kullback-Leibler 散度(BKLD)评估痉挛对上肢随意运动的影响,通过双向 Kullback-Leibler 散度(BKLD)评估运动 GMM 之间的关系。
共有 16 名亚急性中风患者和 13 名健康年龄匹配的对照者伸手去抓 4 个目标(近中心、对侧、远中心和同侧)。对肘关节伸展运动进行二维 GMM(角度和时间)估计。在对照组和对照组与中风组之间,为每个个体和目标计算 BKLD。计算运动时间、最终肘角、平均肘速度和速度平滑度。
组间 BKLD 明显大于组内 BKLD。近中心目标的组间 BKLD 低于远中心和对侧目标,但与同侧目标相似。对于那些患有中风的人,近中心目标的最终角度较低,平均速度较高。近中心的速度平滑度低于同侧目标。屈肌和伸肌被动肌肉阻力(改良 Ashworth 量表)强烈解释了 BKLD 值。
结果支持这样一种观点,即中风后痉挛的个体主动肘关节活动范围存在与速度相关的降低,并且 BKLD 可以作为评估痉挛对运动学影响的客观测量。