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下颌骨咬合肌肉力系的线性规划求解
Study on the 3D Mathematical Mode of the Muscle Groups Applied to Human Mandible by a Linear Programming Method
【摘要】 阐述求解肌肉力系的四种数的数学模型 ,给出确定肌肉力和关节反力位置与方向的图形处理方法 ,用线性规划的方法对其中三种不同目标函数的数学模型进行求解 ,分析讨论求解结果。研究表明 ,以肌肉力总和为目标函数的优化模型结果比较合理 ,符合实际生理情况
【Abstract】 Four types of 3D mathematical mode of the muscle groups applied to the human mandible have been developed. One is based on electromyography (EMG) and the others are based on linear programming with different objective function. Each model contains 26 muscle forces and two joint forces, allowing simulation of static bite forces and concomitant joint reaction forces for various bite point locations and mandibular positions. In this paper, the method of image processing to measure the positon and direction of muscle forces according to 3D CAD model was built with CT data. Matlab optimization toolbox is applied to solve the three modes based on linear programming. Results show that the model with an objective function requiring a minimum sum of the tensions in the muscles is reasonable and agrees very well with the normal physiology activity.
【Key words】 Mathematical mode Linear programming Objective function Muscle groups forces;
- 【文献出处】 生物医学工程学杂志 ,Journal of Biomedical Engineering , 编辑部邮箱 ,2004年01期
- 【分类号】R318.01
- 【被引频次】3
- 【下载频次】84