Design of complex bone internal structure using topology optimization with perimeter control
Design of complex bone internal structure using topology optimization with perimeter control
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DOI：
10.1016/j.compbiomed.2018.01.001
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发表时间：
2018-03-01
影响因子：
7.7
通讯作者：
Paulino, Glaucio H.
中科院分区：
文献类型：
--
作者：
Park, Jaejong;Sutradhar, Alok;Paulino, Glaucio H.
面部骨大量丢失通常需要针对患者的骨植入来恢复结构完整性和功能，这也会影响每个患者的外观。钛合金(例如，Ti-6Al-4V)通常用于种植体和周围骨之间的界面多孔涂层，以提高稳定性。两者之间存在属性不匹配，这通常会导致应力屏蔽等复杂情况。这种生物力学差异是骨置换设计中的一个障碍。为了减少错配，骨替换的内部结构应该与骨的内部结构相匹配。拓扑优化已被证明是设计骨替代物的一种很好的技术。然而，在没有额外限制的情况下，使用传统的拓扑优化方法很难模拟骨骼的复杂内部结构。在本工作中，使用基于周长控制的拓扑优化方法来恢复复杂的骨骼内部结构。通过使用周长来限制解空间，可以实现骨骼复杂的设计复杂性。选择了三个具有已知生理载荷的不同骨骼区域来说明该方法。此外，我们还发现，目标周长值和初始分布模式对于获得骨内部结构的自然曲率以及避免过多的孤岛模式起着至关重要的作用。
Large facial bone loss usually requires patient-specific bone implants to restore the structural integrity and functionality that also affects the appearance of each patient. Titanium alloys (e.g., Ti-6Al-4V) are typically used in the interfacial porous coatings between the implant and the surrounding bone to promote stability. There exists a property mismatch between the two that in general leads to complications such as stress-shielding. This biomechanical discrepancy is a hurdle in the design of bone replacements. To alleviate the mismatch, the internal structure of the bone replacements should match that of the bone. Topology optimization has proven to be a good technique for designing bone replacements. However, the complex internal structure of the bone is difficult to mimic using conventional topology optimization methods without additional restrictions. In this work, the complex bone internal structure is recovered using a perimeter control based topology optimization approach. By restricting the solution space by means of the perimeter, the intricate design complexity of bones can be achieved. Three different bone regions with well-known physiological loadings are selected to illustrate the method. Additionally, we found that the target perimeter value and the pattern of the initial distribution play a vital role in obtaining the natural curvatures in the bone internal structures as well as avoiding excessive island patterns.