Nonlinearities make a difference: comparison of two common Hill-type models with real muscle
Nonlinearities make a difference: comparison of two common Hill-type models with real muscle
复制标题
非线性产生影响：两种常见希尔型模型与真实肌肉的比较
作者：
T. Siebert;C. Rode;W. Herzog;O. Till;R. Blickhan
与复杂结构的赫胥黎型模型相比，希尔型模型仅使用很少的状态变量从现象学上描述肌肉收缩。Hill型模型以其简单性和低计算成本在不断扩大的肌肉骨骼模拟领域占据主导地位。需要合理的参数来深入了解运动力学。两种最常见的Hill型肌肉模型包含三个组件。串联弹性部件串联连接到收缩部件。并联弹性组件与收缩组件和串联弹性组件并联连接（模型[CC+SEC]），或仅与收缩组件并联连接（模型[CC]）。只要至少一个组件表现出实质性的非线性，例如，收缩组件由打开和关闭的能力决定，这两种模型在机械上是不同的。我们测试了哪种模型（[CC+SEC]或[CC]）更好地代表猫比目鱼肌。斜坡实验组成的等距和等速的一部分进行了原位猫比目鱼肌制备使用超大神经刺激。根据实验数据拟合了包含力-长度、力-速度关系、兴奋-收缩耦合以及串联和并联弹性力-伸长关系的Hill型模型。为了测试哪种模型可能更好地代表肌肉，将获得的参数与实验确定的参数进行比较。在被动力可忽略不计的情况下确定，力-速度关系和串联弹性分量关系与所选模型无关。与[CC+SEC]模型相比，[CC]模型所预测的这些关系与实验关系一致。结论：[CC]模型能更好地反映猫比目鱼肌收缩动力学特性，在肌肉参数的非线性回归和骨骼肌建模中应作为首选模型。
Compared to complex structural Huxley-type models, Hill-type models phenomenologically describe muscle contraction using only few state variables. The Hill-type models dominate in the ever expanding field of musculoskeletal simulations for simplicity and low computational cost. Reasonable parameters are required to gain insight into mechanics of movement. The two most common Hill-type muscle models used contain three components. The series elastic component is connected in series to the contractile component. A parallel elastic component is either connected in parallel to both the contractile and the series elastic component (model [CC+SEC]), or is connected in parallel only with the contractile component (model [CC]). As soon as at least one of the components exhibits substantial nonlinearities, as, e.g., the contractile component by the ability to turn on and off, the two models are mechanically different. We tested which model ([CC+SEC] or [CC]) represents the cat soleus better. Ramp experiments consisting of an isometric and an isokinetic part were performed with an in situ cat soleus preparation using supramaximal nerve stimulation. Hill-type models containing force–length and force–velocity relationship, excitation–contraction coupling and series and parallel elastic force–elongation relations were fitted to the data. To test which model might represent the muscle better, the obtained parameters were compared with experimentally determined parameters. Determined in situations with negligible passive force, the force–velocity relation and the series elastic component relation are independent of the chosen model. In contrast to model [CC+SEC], these relations predicted by model [CC] were in accordance with experimental relations. In conclusion model [CC] seemed to better represent the cat soleus contraction dynamics and should be preferred in the nonlinear regression of muscle parameters and in musculoskeletal modeling.
DOI：
10.1115/1.1531112
发表时间：
2003-02-01
影响因子：
1.7
作者：
Thelen, DG
通讯作者：
Thelen, DG
DOI：
--
发表时间：
2001-05
期刊：
The Journal of experimental biology
影响因子：
--
作者：
Thomas J. Burkholder;Richard L Lieber
通讯作者：
Thomas J. Burkholder;Richard L Lieber