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Numerical Simulation of Mandible Bone Remodeling under Tooth Loading: A Parametric Study

机译:下颌骨重塑数值模拟的参数研究

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摘要

Bone adapts to the change of mechanical stimulus by bone remodeling activities. A number of numerical algorithms have been developed to model the adaptive bone remodeling under mechanical loads for orthopedic and dental applications. This paper examines the effects of several model parameters on the computed apparent bone density in mandible under normal chewing and biting forces. The density change rate was based on the strain energy density per unit mass. The algorithms used in this study containing an equilibrium zone (lazy zone) and saturated values of density change rate provides certain stability to result in convergence without discontinuous checkerboard patterns. The parametric study shows that when different boundary conditions were applied, the bone density distributions at convergence were very different, except in the vicinity of the applied loads. Compared with the effects of boundary conditions, the models are less sensitive to the choice of initial density values. Several models starting from different initial density values resulted in similar but not exactly the same bone density distribution at convergence. The results also show that higher reference value of mechanical stimulus resulted in lower average bone density at convergence. Moreover, the width of equilibrium zone did not substantially affect the average density at convergence. However, with increasing width, the areas with the highest and the lowest bone density areas were all reduced. The limitations of the models and challenges for future work were discussed for the better agreement between the computed results and the in vivo data.
机译:骨骼通过骨骼重塑活动适应机械刺激的变化。已经开发出许多数值算法来建模用于骨科和牙科应用的机械载荷下的自适应骨重塑。本文研究了几种模型参数对正常咀嚼和咬合力下颌骨计算表观骨密度的影响。密度变化率基于每单位质量的应变能密度。这项研究中使用的算法包含一个平衡区(惰性区)和密度变化率的饱和值,可以提供一定的稳定性,从而导致收敛而不会出现不连续的棋盘图案。参数研究表明,当施加不同的边界条件时,会聚处的骨密度分布非常不同,除了所施加的载荷附近。与边界条件的影响相比,模型对初始密度值的选择不那么敏感。从不同的初始密度值开始的几种模型在收敛时产生相似但不完全相同的骨骼密度分布。结果还表明,较高的机械刺激参考值导致收敛时平均骨密度降低。而且,平衡区的宽度基本上不会影响收敛时的平均密度。但是,随着宽度的增加,具有最高和最低骨密度区域的区域全部减少了。讨论了模型的局限性和未来工作的挑战,以使计算结果与体内数据更好地达成一致。

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