Institute for Developmental Research, Aichi Human Service Center, Kasugai, Japan.
J Electromyogr Kinesiol. 2013 Jun;23(3):572-9. doi: 10.1016/j.jelekin.2012.11.006. Epub 2012 Dec 21.
The aims of the present study were to develop a mathematical model of the skeletal muscle based on the frequency transfer function, referred to as frequency response model, and to presume the relationship between the model elements and skeletal muscle contractile properties. Twitch force in elbow flexion was elicited by applying a single electrical stimulation to the motor point of biceps brachii muscles, and then analyzed visually by the Bode gain and phase diagram of the force signal. The frequency response model was represented by a frequency transfer function consisting of five basic control elements (proportional element, dead time element, and three first-order lag elements). The model element constants were estimated by best-fitting to the Bode gain and phase diagram of the twitch force signal. The proportional constant and the dead time in the frequency response model correlated significantly with the peak torque and the latency in the actual twitch force, respectively. In addition, the time constants of the three first-order lag elements in the model correlated strongly with the contraction time and the half relaxation time in the actual twitch force. The results suggested a possibility that the individual elements in the frequency response model would reflect the biochemical and biomechanical properties in the excitation-contraction coupling process of skeletal muscle.
本研究旨在基于频率传递函数（称为频率响应模型）开发一种基于骨骼肌肉的数学模型，并假设模型元素与骨骼肌肉收缩特性之间的关系。通过在肱二头肌运动点施加单次电刺激来诱发肘部弯曲的单次收缩力，然后通过力信号的 Bode 增益和相位图进行视觉分析。频率响应模型由包含五个基本控制元件（比例元件、死区元件和三个一阶滞后元件）的频率传递函数表示。通过将模型元素常数拟合到单次收缩力信号的 Bode 增益和相位图来估算。频率响应模型中的比例常数和死区时间与实际单次收缩力中的峰值扭矩和潜伏期显著相关。此外，模型中三个一阶滞后元件的时间常数与实际单次收缩力中的收缩时间和半松弛时间密切相关。结果表明，频率响应模型中的各个元素可能反映了骨骼肌肉兴奋-收缩耦联过程中的生化和生物力学特性。
