Ingram David, Engelhardt Christoph, Farron Alain, Terrier Alexandre, Müllhaupt Philippe
a Labortatoire d'Automatique, Ecole Polytechnique Fédérale de Lausanne , Station 9, 1015 Lausanne , Switzerland.
Comput Methods Biomech Biomed Engin. 2015;18(5):506-13. doi: 10.1080/10255842.2013.818666. Epub 2013 Sep 3.
A clear and rigorous definition of muscle moment-arms in the context of musculoskeletal systems modelling is presented, using classical mechanics and screw theory. The definition provides an alternative to the tendon excursion method, which can lead to incorrect moment-arms if used inappropriately due to its dependency on the choice of joint coordinates. The definition of moment-arms, and the presented construction method, apply to musculoskeletal models in which the bones are modelled as rigid bodies, the joints are modelled as ideal mechanical joints and the muscles are modelled as massless, frictionless cables wrapping over the bony protrusions, approximated using geometric surfaces. In this context, the definition is independent of any coordinate choice. It is then used to solve a muscle-force estimation problem for a simple 2D conceptual model and compared with an incorrect application of the tendon excursion method. The relative errors between the two solutions vary between 0% and 100%.
本文运用经典力学和螺旋理论，给出了肌肉骨骼系统建模中肌肉力臂的清晰且严格的定义。该定义为肌腱行程法提供了一种替代方法，因为肌腱行程法如果使用不当，由于其对关节坐标选择的依赖性，可能会导致错误的力臂。力臂的定义以及所提出的构建方法适用于以下肌肉骨骼模型：骨骼被建模为刚体，关节被建模为理想机械关节，肌肉被建模为无质量、无摩擦且缠绕在骨质突起上的缆线，这些骨质突起使用几何曲面进行近似。在此背景下，该定义独立于任何坐标选择。然后，它被用于解决一个简单二维概念模型的肌肉力估计问题，并与肌腱行程法的错误应用进行比较。两种解决方案之间的相对误差在0%至100%之间变化。
