Brown I E, Scott S H, Loeb G E
Department of Physiology, Queen's University, Kingston, Ontario, Canada.
J Muscle Res Cell Motil. 1996 Apr;17(2):221-33. doi: 10.1007/BF00124244.
We have developed a mathematical model to describe force production in cat soleus during steady-state activation over a range of fascicle lengths and velocities. The model was based primarily upon a three element design by Zajac but also considered the many different features present in other previously described models. We compared quantitatively the usefulness of these features and putative relationships to account for a set of force and length data from cat soleus wholemuscle described in a companion paper. Among the novel features that proved useful were the inclusion of a short-length passive force resisting compression, a new normalisation constant for connective-tissue lengths to replace the potentially troublesome slack length, and a new length dependent term for lengthening velocities in the force-velocity relationship. Each feature of this model was chosen to provide the most accurate description of the data possible without adding unneeded complexity. Previously described functions were compared with novel functions to determine the best description of the experimental data for each of the elements in the model.
我们开发了一个数学模型，用于描述猫比目鱼肌在一系列肌纤维长度和速度的稳态激活过程中的力产生情况。该模型主要基于扎亚克的三元件设计，但也考虑了其他先前描述的模型中存在的许多不同特征。我们定量比较了这些特征和假定关系的有用性，以解释在一篇配套论文中描述的一组来自猫比目鱼肌全肌的力和长度数据。被证明有用的新特征包括纳入抵抗压缩的短长度被动力、用于结缔组织长度的新归一化常数以取代可能麻烦的松弛长度，以及力-速度关系中与伸长速度相关的新长度依赖项。选择该模型的每个特征是为了在不增加不必要复杂性的情况下尽可能准确地描述数据。将先前描述的函数与新函数进行比较，以确定模型中每个元件对实验数据的最佳描述。
