Kostyukov A I
Biol Cybern. 1987;56(5-6):375-87. doi: 10.1007/BF00319517.
A phenomenological theory of muscle dynamics has been elaborated on the basis of data obtained in experiments on hind limb extensor muscles of narcotized cat. Functional dependence of muscle length on external load was explored in conditions of a constant frequency of the efferent stimulation. It was shown that the system under study could be presented for a rather wide class of input signals as a system with nonlinear statics and linear dynamics. The nonlinear statics was shown to be determined mainly by the hysteretical effects of muscle contraction, whereas dynamic element was described by the first order linear differential equation corresponding to the traditional three-component mechanical model of the muscle. A hypothesis was proposed to explain the hysteresis in active muscle on the basis of functioning of the troponin-tropomyosin regulatory complex. Elaborated mathematical model of muscle dynamics can be used to predict and evaluate changes in the muscle length evoked by arbitrary changes in the external load.
基于对麻醉猫后肢伸肌实验所获数据，阐述了一种肌肉动力学的现象学理论。在传出刺激频率恒定的条件下，探究了肌肉长度与外部负荷的功能依赖性。结果表明，对于相当广泛的一类输入信号，所研究的系统可呈现为具有非线性静力学和线性动力学的系统。研究表明，非线性静力学主要由肌肉收缩的滞后效应决定，而动态元件则由对应于传统肌肉三分量力学模型的一阶线性微分方程描述。提出了一个假说，以肌钙蛋白 - 原肌球蛋白调节复合物的功能为基础来解释活性肌肉中的滞后现象。所阐述的肌肉动力学数学模型可用于预测和评估外部负荷任意变化所引起的肌肉长度变化。
