弹性模量与表观密度的分段函数关系用于股骨近端的结构模拟  

APPLICATION OF SUBSECTIONAL RELATIONSHIP BETWEEN ELASTIC MODULUS AND APPARENT DENSITY IN THE STRUCTURAL SIMULATION OF PROXIMAL FEMUR

作　　者：朱兴华[1] 宫赫[1] 白雪飞[1] 王福荣[2] 

机构地区：[1]吉林大学力学系,长春130025 [2]吉林大学中日联谊医院,长春130031

出　　处：《中国生物医学工程学报》2003年第3期250-257,共8页Chinese Journal of Biomedical Engineering

基　　金：国家自然科学基金资助项目 (3 9970 191);吉林省科技发展计划资助项目 (19980 5 5 4 0 1)

摘　　要：目前 ,在用功能适应性理论与有限元相结合 ,进行计算机数值模拟骨再造时 ,大多数研究者对于不同的表观密度 ,都是将表观密度和弹性模量的关系取为一种形式。由于松质骨的各向异性 ,其结构形式的多样性、复杂性 ,认为用一个统一的模型来描述其结构性能存在一定的问题。本研究基于松质骨胞元模型理论 ,提出与实际更加接近的松质骨弹性模量与表观密度的分段函数关系 ,使得弹性模量与表观密度关系的确立有一定的理论基础。利用Mullender等[1] 提出的骨自我组织控制过程微分方程来控制骨再造过程 ,与有限元相结合 ,将这种松质骨的弹性模量与表观密度的分段函数关系应用到股骨近端结构的模拟预测中 ,不但能根据模拟得到的内部密度分布给出其内部结构的具体胞元结构形式 ,而且可以大大提高迭代的收敛速度 。Nowadays most authors take the relationship between elastic modulus and apparent density as the only form for different apparent densities when they simulate bone remodeling numerically by combining bone functional adaptation with FEM. We believe it problematic to describe the structure of trabecular bone using such an uniform model because of its diversity and complexity. Based on the theory of microstructures in cancellous bone, a subsectional relationship between elastic modulus and apparent density which may be closer to reality is put forward, to serve as a theoretical basis for the establishment of the relationship between elastic modulus and apparent density. The self organizational control process put forward by Mullender et al. (1994) was used to control the remodeling process to integrate with FEM and the subsectional relationship between elastic modulus and apparent density applied to the structural simulation of proximal femur. Not only the inner micromechanical structures were acquired according to the internal density distribution simulated, but the converge speed of iteration was greatly increased. It is a job with certain theoretical significance and practical value.

关 键 词：结构模拟 骨自我组织控制过程 骨功能适应性理论 有限元 股骨近端 分段函数 

分 类 号：R318.01[医药卫生—生物医学工程] Q66[医药卫生—基础医学]