Hirokawa S
Department of Descriptive Geometry and Drawing, College of General Education, Kyushu University, Fukuoka, Japan.
J Biomech. 1992 Dec;25(12):1393-401. doi: 10.1016/0021-9290(92)90053-4.
The influence of both insertion and strength/elasticity of each extensor in patellofemoral disorders was fully investigated through a two-dimensional mathematical model analysis in a horizontal plane, in combination with experimental design theory for analyzing mutually correlated influences. In the model, patellofemoral joint profiles projected on a horizontal plane have been expressed as spline functions. Each muscle of the quadriceps has been represented as a string pulled by the respective force; fascias and tendons have been represented by springs. Nonlinear equations have been constructed to represent the forces involved, and then solved by numerical iteration. An analysis of variance was performed on the data derived from a series of simulations, obtaining the following results. The strength of most extensors has been shown to have an influence on the increase in lateral contact force but not patellar translation. The tibial tubercle position has significant influence on both patellar translation and lateral contact force. The quadriceps' insertion on the femur has no influence on patellar translation. The insertion of each extensor on the patella has been shown to have a strong effect on patellar translation but not on contact force.
通过在水平面内进行二维数学模型分析，并结合用于分析相互关联影响的实验设计理论，全面研究了各股四头肌在髌股关节紊乱中其附着位置以及力量/弹性的影响。在该模型中，投影在水平面上的髌股关节轮廓已用样条函数表示。股四头肌的每一块肌肉都被表示为由各自的力牵拉的绳索；筋膜和肌腱则由弹簧表示。构建了非线性方程来表示所涉及的力，然后通过数值迭代求解。对一系列模拟得出的数据进行了方差分析，得到以下结果。已表明大多数股四头肌的力量对外侧接触力的增加有影响，但对髌骨移位没有影响。胫骨结节位置对髌骨移位和外侧接触力均有显著影响。股四头肌在股骨上的附着位置对髌骨移位没有影响。已表明各股四头肌在髌骨上的附着位置对髌骨移位有强烈影响，但对接触力没有影响。
