Comincioli V, Torelli A, Poggesi C, Reggiani C
J Math Biol. 1984;20(3):277-304. doi: 10.1007/BF00275989.
A mathematical model of contracting skeletal muscle is studied. The model is composed by an elastic element (SE) in series with a contractile element (CE) that describes the cross bridge kinetics with a formulation derived by that proposed by Eisenberg and Hill (1978). An analytical study of the system of nonlinear partial differential equations of the model allows the existence and the uniqueness of the solution to be proved. A suitable approach to the numerical solution is defined and a series of numerical tests are performed. These tests lead to select an appropriate set of parameters and allow to compare model predictions and experimental observations on frog skeletal muscle.
研究了收缩骨骼肌的数学模型。该模型由一个与收缩元件（CE）串联的弹性元件（SE）组成，收缩元件用艾森伯格和希尔（1978年）提出的公式来描述横桥动力学。对该模型的非线性偏微分方程组进行的分析研究证明了解的存在性和唯一性。定义了一种适用于数值解的方法，并进行了一系列数值测试。这些测试有助于选择一组合适的参数，并能够比较模型预测结果与青蛙骨骼肌的实验观察结果。
