In order to more accurately and effectively understand the intermuscular coupling of different temporal and spatial levels from the perspective of complex networks, a new multi-scale intermuscular coupling network analysis method was proposed in this paper. The multivariate variational modal decomposition (MVMD) and Copula mutual information (Copula MI) were combined to construct an intermuscular coupling network model based on MVMD-Copula MI, and the characteristics of intermuscular coupling of multiple muscles of upper limbs in different time-frequency scales during reaching exercise in healthy subjects were analyzed by using the network parameters such as node strength and clustering coefficient. The experimental results showed that there are obvious differences in the characteristics of intermuscular coupling in the six time-frequency scales. Specifically, the triceps brachii (TB) had relatively high coupling strength with the middle deltoid (MD) and posterior deltoid (PD), and the intermuscular function was closely connected. However, the biceps brachii (BB) was independent of other muscles. The intermuscular coupling network had scale differences. MVMD-Copula MI can quantitatively describe the relationship of multi-scale intermuscular coupling strength, which has good application prospects.
为了更加准确有效地从复杂网络的角度理解不同时空层次的肌间耦合情况，本文提出了一种新的多尺度肌间耦合网络分析方法。将多元变分模态分解（MVMD）与 Copula 互信息（Copula MI）相结合，构建了基于 MVMD-Copula MI 的肌间耦合网络模型，通过节点强度、聚类系数等网络参数分析了健康人数据集伸手运动过程中上肢多块肌肉在不同时频尺度上的肌间耦合特性。实验结果表明，在分解出的 6 个时频尺度上，肌间耦合特性存在明显区别。具体为：肱三头肌与三角肌中束、三角肌后束的耦合强度相对较高，肌间功能联系紧密；而肱二头肌在该运动下独立于其他肌肉。结果体现了肌间耦合网络具有尺度差异性，而 MVMD-Copula MI 能够定量刻画多尺度肌间耦合强度关系，具有良好的应用前景。.
Keywords: Copula; intermuscular coupling network; multivariate variational modal decomposition; mutual information.