Probabilistic analysis of mechanical behavior of mandibular trabecular bone using a calibrated stochastic homogenization model
Probabilistic analysis of mechanical behavior of mandibular trabecular bone using a calibrated stochastic homogenization model
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使用校准的随机均质化模型对下颌骨小梁骨的机械行为进行概率分析
DOI：
10.1007/s00707-015-1381-8
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发表时间：
2015
期刊：
影响因子：
2.7
通讯作者：
Abe S.
中科院分区：
文献类型：
--
作者：
Tawara D;Nagahata M;Takano N;Kinoshita H;Abe S.
口腔种植术中钻孔手术的成功与否取决于手指的受力感觉或牙科医生的感觉，这与颌骨中骨小梁的质量有关，骨小梁的质量由表观力学特性表示。由于松质骨的力学性能取决于骨体积分数、微观结构和许多与个体差异密切相关的其他因素，因此提出了一种评估钻孔力的概率数值方法。使用基于微CT的颌骨模型，一阶扰动为基础的随机均匀化方法，估计可能的散射的表观力学性能的骨小梁区域。将复杂的钻削问题简化为序列线性静态有限元分析，并将预测的沿钻削方向的表观杨氏模量和剪切模量应用于该有限元分析。有限元分析表明，均匀化的机械性能表现出各向异性，这可能会导致在不同的钻削角度的钻削力的差异。通过预期值、50%概率结果和90%概率结果显示数值估计的钻孔力，并显示2名或10名患者中有1名患者可能骨质较差。预期值与90%概率结果之间的钻孔力存在显著差异。
Surgical success of drilling in oral implantology depends on the sense of force on the fingers or feeling of a dental clinician, which is related to the quality of trabecular bone in the jawbone expressed by apparent mechanical characteristics. As the mechanical properties of trabecular bone depend on the bone volume fraction, microstructure, and many other factors closely related to individual differences, a probabilistic numerical procedure to assess drilling force is proposed. Using a micro-CT-based jawbone model, a first-order perturbation-based stochastic homogenization method was employed to estimate the possible scattering of apparent mechanical properties of the trabecular bone region. The complicated drilling problem was simplified to sequential linear static FEAs, to which the predicted apparent Young’s modulus and shearing moduli in the drilling direction were applied. The FEAs demonstrated that the homogenized mechanical properties showed anisotropy, which might lead to differences in the drilling forces at different drilling angles. The numerically estimated drilling forces were shown by the expected value, 50 %-probability result, and 90%-probability result and revealed that one patient among two or ten patients would probably have poor bone quality. There was a remarkable difference in the drilling forces between the expected value and the 90%-probability result.