Computer simulation of trablecular remodeling in human proximal femur using large-scale voxel FE models: Approach to understanding Wolff's law
Computer simulation of trablecular remodeling in human proximal femur using large-scale voxel FE models: Approach to understanding Wolff's law
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DOI：
10.1016/j.jbiomech.2009.02.030
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发表时间：
2009-05-29
影响因子：
2.4
通讯作者：
Adachi, Taiji
中科院分区：
文献类型：
--
作者：
Tsubota, Ken-ichi;Suzuki, Yusuke;Adachi, Taiji
自从19世纪Julius Wolff提出骨转化定律以来，松质骨的小梁结构在功能上适应载荷环境已广为人知。为了了解沃尔夫定律的机制，对人类股骨近端由于表面重塑而导致的小梁结构变化进行了三维 (3D) 计算机模拟。构建了大型体素有限元模型来模拟整个松质区域内各个小梁的结构变化。作为考虑局部机械环境调节的骨细胞活动的简单重塑模型，假设局部应力的不均匀性驱动小梁表面重塑以寻求均匀的应力状态。模拟结果表明，响应机械刺激的细胞尺度（类似于 10 μm）重塑创建了整个骨尺度（类似于 10cm）的复杂 3D 小梁结构，如 Wolff 的参考文献中所示。骨重塑再现了冠状截面中的特征性各向异性结构和其他截面中的各向同性结构。以织物椭球体为特征的结构的主值和轴与结构的表观应力的值和轴相对应。所提出的大规模计算机模拟表明，在超过104个长度尺度（从大约10μm到大约10cm）的分层骨结构的复杂机械环境中，在细胞/小梁水平上的简单重塑创建了高度复杂和功能性的小梁结构，其特征在于骨密度和方向。 (C) 2009 Elsevier Ltd. 保留所有权利。
Ever since Julius Wolff proposed the law of bone transformation in the 19th century, it has been widely known that the trabecular structure of cancellous bone adapts functionally to the loading environment. To understand the mechanism of Wolffs law, a three-dimensional (3D) computer simulation of trabecular structural changes due to surface remodeling was performed for a human proximal femur. A large-scale voxel finite element model was constructed to simulate the structural changes of individual trabeculae over the entire cancellous region. As a simple remodeling model that considers bone cellular activities regulated by the local mechanical environment, nonuniformity of local stress was assumed to drive the trabecular surface remodeling to seek a uniform Stress state. Simulation results demonstrated that cell-scale (similar to 10 mu m) remodeling in response to mechanical stimulation created complex 3D trabecular structures of the entire bone-scale (similar to 10cm), as illustrated in the reference of Wolff. The bone remodeling reproduced the characteristic anisotropic structure in the coronal cross section and the isotropic Structures in other cross sections. The principal values and axes of a structure characterized by fabric ellipsoids corresponded to those of the apparent stress of the structure. The proposed large-scale computer simulation indicates that in a complex mechanical environment of a hierarchical bone Structure of over 104 length scale (from similar to 10 mu m to similar to 10cm), a simple remodeling at the cellular/trabecular levels creates a highly complex and functional trabecular structure, as characterized by bone density and orientation. (C) 2009 Elsevier Ltd. All rights reserved.