IEEE Trans Biomed Eng. 2021 Jul;68(7):2241-2250. doi: 10.1109/TBME.2020.3048930. Epub 2021 Jun 17.
To evaluate whether non-invasive knee sound measurements can provide information related to the underlying structural changes in the knee following meniscal tear. These changes are explained using an equivalent vibrational model of the knee-tibia structure.
First, we formed an analytical model by modeling the tibia as a cantilever beam with the fixed end being the knee. The knee end was supported by three lumped components with features corresponding with tibial stiffnesses, and meniscal damping effect. Second, we recorded knee sounds from 46 healthy legs and 9 legs with acute meniscal tears (n = 34 subjects). We developed an acoustic event ("click") detection algorithm to find patterns in the recordings, and used the instrumental variable continuous-time transfer function estimation algorithm to model them.
The knee sound measurements yielded consistently lower fundamental mode decay rate in legs with meniscal tears ( 16 ±13 s ) compared to healthy legs ( 182 ±128 s ), p < 0.05. When we performed an intra-subject analysis of the injured versus contralateral legs for the 9 subjects with meniscus tears, we observed significantly lower natural frequency and damping ratio (first mode results for healthy: [Formula: see text]injured: [Formula: see text]) for the first three vibration modes (p < 0.05). These results agreed with the theoretical expectations gleaned from the vibrational model.
This combined analytical and experimental method improves our understanding of how vibrations can describe the underlying structural changes in the knee following meniscal tear, and supports their use as a tool for future efforts in non-invasively diagnosing meniscal tear injuries.
评估非侵入性膝关节声音测量是否可以提供与半月板撕裂后膝关节潜在结构变化相关的信息。这些变化使用膝关节-胫骨结构的等效振动模型来解释。
首先,我们通过将胫骨建模为具有固定端为膝关节的悬臂梁来形成分析模型。膝关节端由三个具有与胫骨刚度和半月板阻尼效果相对应的特征的集中组件支撑。其次,我们从 46 条健康腿和 9 条急性半月板撕裂腿(n = 34 名受试者)中记录了膝关节声音。我们开发了一种声学事件(“点击”)检测算法来找到记录中的模式,并使用仪器变量连续时间传递函数估计算法对其进行建模。
半月板撕裂的腿的膝关节声音测量结果表现出明显更低的基本模式衰减率(16 ±13 s),与健康腿(182 ±128 s)相比,p < 0.05。当我们对 9 名半月板撕裂的受试者的受伤与对侧腿进行个体内分析时,我们观察到前三个振动模式的固有频率和阻尼比(健康:[公式:见文本]受伤:[公式:见文本])明显降低(p < 0.05)。这些结果与从振动模型中得出的理论预期一致。
这种结合分析和实验的方法提高了我们对振动如何描述半月板撕裂后膝关节潜在结构变化的理解,并支持将其作为未来非侵入性诊断半月板撕裂损伤的工具。