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Load adaptation through bone remodeling: a mechanobiological model coupled with the finite element method
Biomechanics and Modeling in Mechanobiology ( IF 3.0 ) Pub Date : 2021-04-26 , DOI: 10.1007/s10237-021-01458-0
M M A Peyroteo 1 , J Belinha 2 , R M Natal Jorge 3
Affiliation  

This work proposes a novel tissue-scale mechanobiological model of bone remodeling to study bone’s adaptation to distinct loading conditions. The devised algorithm describes the mechanosensitivity of bone and its impact on bone cells’ functioning through distinct signaling factors. In this study, remodeling is mechanically ruled by variations of the strain energy density (SED) of bone, which is determined by performing a linear elastostatic analysis combined with the finite element method. Depending on the SED levels and on a set of biological signaling factors (\(g\) parameters), osteoclasts and osteoblasts can be mechanically triggered. To reproduce this phenomenon, this work proposes a new set of \(g\) parameters. The combined response of osteoclasts and osteoblasts will then affect bone’s apparent density, which is correlated with other mechanical properties of bone, through a phenomenological law. Thus, this novel model proposes a constant interplay between the mechanical and biological components of the process. The spatiotemporal simulation used to validate this new approach is a benchmark example composed by two distinct phases: (1) pre-orientation and (2) load adaptation. On both of them, bone is able to adapt its morphology according to the loading condition, achieving the required trabecular distribution to withstand the applied loads. Moreover, the equilibrium morphology reflects the orientation of the load. These preliminary results support the new approach proposed in this study.



中文翻译:

通过骨骼重塑适应负载:与有限元法相结合的机械生物学模型

这项工作提出了一种新的组织尺度的骨重塑力学生物学模型来研究骨对不同负荷条件的适应。所设计的算法通过不同的信号因子描述了骨骼的机械敏感性及其对骨细胞功能的影响。在这项研究中,重塑由骨骼的应变能密度 (SED) 的变化进行机械控制,这是通过结合有限元方法进行线性弹性分析来确定的。根据 SED 水平和一组生物信号因子(\(g\)参数),破骨细胞和成骨细胞可以被机械触发。为了重现这种现象,这项工作提出了一组新的\(g\)参数。然后破骨细胞和成骨细胞的联合反应将通过现象学定律影响骨骼的表观密度,这与骨骼的其他机械性能相关。因此,这种新颖的模型提出了该过程的机械和生物成分之间的持续相互作用。用于验证这种新方法的时空模拟是一个由两个不同阶段组成的基准示例:(1)预定向和(2)负载适应。在这两种情况下,骨骼都能够根据负载条件调整其形态,实现所需的小梁分布以承受施加的负载。此外,平衡形态反映了载荷的方向。这些初步结果支持本研究中提出的新方法。

更新日期:2021-04-27
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