Goel V K, Kong W, Han J S, Weinstein J N, Gilbertson L G
Department of Biomedical Engineering, University of Iowa, Iowa City.
Spine (Phila Pa 1976). 1993 Sep 1;18(11):1531-41.
A combined finite element and optimization approach to study the effects of muscles on the biomechanics of the lumbar spine was initiated. Briefly, a three-dimensional, nonlinear, finite element model of a ligamentous L3-4 motion segment was formulated (LIG model) for the predictions of stresses, etc., in the motion segment. A separate, biomechanical optimization-based force model with experimental input was developed to predict the forces in muscles and disc across the L3-4 segment in response to a person holding 90 N in his hands with spine flexed 30 degrees, and knees straight. The predicted muscle forces from the optimization model were then incorporated into the L3-4 finite element model as nodal forces to simulate the muscle action (MUS model). The predicted responses from the muscles active (MUS) finite element model were compared to the corresponding results from the ligamentous (LIG) finite element model subjected to an equivalent load. The biomechanical parameters compared were: translation and rotation of L3, disc bulge, intervertebral foramen gap, intradiscal pressure, facet loading, ligament tension, compressive disc load, and stresses in the vertebral body. The addition of muscular forces in the MUS model led to a decrease in the anteroposterior translation and flexion rotation (displacements in the sagittal plane) of the segment compared to the corresponding LIG model predictions. Thus, the muscles imparted stability to the ligamentous segment. The presence of muscles also led to a decrease in stresses in the vertebral body, the intradiscal pressure and other mechanical parameters of importance. However, the load bearing of the facets increased compared to the ligamentous model. Thus, facets play a significant role in transmitting loads in a normal intact spine. These results, for the first time, provide quantitative data on the stabilizing effects of muscles on the mechanics of a ligamentous spine. The results also provide a scientific explanation in support of the "degenerative cascade" concept proposed in the literature. The model predictions, in conjunction with the degenerative cascade concept, also support the observation that the osteoarthritis of facets may follow disc degeneration. Future research directions based on the current model are presented.
启动了一种结合有限元与优化方法来研究肌肉对腰椎生物力学影响的研究。简要来说,构建了一个用于预测运动节段应力等情况的L3 - 4韧带运动节段的三维非线性有限元模型(LIG模型)。开发了一个基于生物力学优化且带有实验输入的力模型,以预测在人双手持90 N重物且脊柱前屈30度、膝关节伸直时,L3 - 4节段肌肉和椎间盘内的力。然后将优化模型预测的肌肉力作为节点力纳入L3 - 4有限元模型,以模拟肌肉作用(MUS模型)。将肌肉激活(MUS)有限元模型的预测响应与承受等效载荷的韧带(LIG)有限元模型的相应结果进行比较。比较的生物力学参数包括:L3的平移和旋转、椎间盘膨出、椎间孔间隙、椎间盘内压力、小关节负荷、韧带张力、椎间盘压缩负荷以及椎体应力。与相应的LIG模型预测相比,MUS模型中肌肉力的加入导致节段的前后平移和前屈旋转(矢状面位移)减小。因此,肌肉为韧带节段赋予了稳定性。肌肉的存在还导致椎体应力、椎间盘内压力以及其他重要力学参数降低。然而,与韧带模型相比,小关节的负荷增加。因此,小关节在正常完整脊柱的载荷传递中起重要作用。这些结果首次提供了关于肌肉对韧带脊柱力学稳定作用的定量数据。结果还为文献中提出的“退变级联”概念提供了科学解释。结合退变级联概念的模型预测也支持小关节骨关节炎可能继发于椎间盘退变这一观察结果。基于当前模型提出了未来的研究方向。
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