中国组织工程研究

中国组织工程研究 ›› 2022, Vol. 26 ›› Issue (28): 4429-4434.doi: 10.12307/2022.293

• 组织工程骨材料 tissue-engineered bone •    下一篇

基于响应面法的人工股骨单胞结构设计及优化

连婷婷1，陈学文1，张  博1，王广欣1，Akiyoshi Osaka 1，2   

  1. 1河南科技大学材料科学与工程学院，河南省洛阳市  471023；2冈山大学工学院，日本岗山津岛  700-8530
  • 收稿日期:2021-01-22 接受日期:2021-03-18 出版日期:2022-10-08 发布日期:2022-03-17
  • 通讯作者: 陈学文，博士，博士后，特聘教授，河南科技大学材料科学与工程学院，河南省洛阳市 471023 Akiyoshi Osaka，博士，教授，河南科技大学材料科学与工程学院，河南省洛阳市 471023；冈山大学工学院，日本岗山津岛 700-8530
  • 作者简介:连婷婷，女，1996年生，河南省平顶山市人，汉族，硕士，主要从事骨支架仿生结构设计和机械相容性研究。
  • 基金资助:
    中国03专项基金(2017ZX02408003)，项目负责人：王广欣；河南省高纯材料制备及应用技术创新型科技团队，项目负责人：陈学文

Design and optimization of artificial femoral unit cell structure based on response surface methodology

Lian Tingting1, Chen Xuewen1, Zhang Bo1, Wang Guangxin1, Akiyoshi Osaka1, 2   

  1. 1College of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471023, Henan Province, China; 2Institute of Engineering, Okayama University, Tsushima 700-8530, Okayama, Japan
  • Received:2021-01-22 Accepted:2021-03-18 Online:2022-10-08 Published:2022-03-17
  • Contact: Chen Xuewen, MD, Distinguished professor, College of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471023, Henan Province, China Akiyoshi Osaka,MD,Professor, College of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471023, Henan Province, China; Institute of Engineering, Okayama University, Tsushima 700-8530, Okayama, Japan
  • About author:Lian Tingting, Master, College of Materials Science and Engineering, Henan University of Science and Technology, Luoyang 471023, Henan Province, China
  • Supported by:
    Chinese 03 Special Fund, Grand No. 2017ZX02408003 (to WGX); Innovative Science and Technology Team Project of High Purity Material Preparation and Application Technology in Henan Province (to CXW)

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摘要：

文题释义：
响应面法：采用多项式函数拟合设计空间，它实用性强、适用范围广，具有良好的鲁棒性。
杨氏模量：在骨骼的各种生物力学参数(刚度、强度、蠕变和疲劳、渗透等)中，杨氏模量引起了最大的研究兴趣，因为其对于表征各种骨骼病理学和指导人工植入物设计至关重要。

背景：人工骨植入是治疗骨质严重疏松及骨损伤的重要方法，然而植入时需要考虑其与宿主骨的机械相容性，尤其要使人工骨的杨氏模量与宿主骨相匹配。
目的：分析单胞结构类型、支柱尺寸和孔径尺寸对单胞结构的杨氏模量及孔隙率的影响。
方法：设计了3种可以描述骨骼微观结构的单胞结构(支杆单胞、带孔板单胞、圆柱孔单胞)，设计正交实验，基于有限元模拟对单胞结构进行静力学分析。通过极差和方差分析研究3种单胞结构类型、支柱尺寸和孔径尺寸对单胞结构杨氏模量及孔隙率的影响。基于正交实验数据建立响应面近似模型，以股骨近端的松质骨杨氏模量为优化目标，选择序列二次规划法对单胞结构进行优化参数设计。
结果与结论：极差和方差分析的结果表明，以上3因素影响单胞结构杨氏模量的主次顺序为：支柱尺寸>孔径尺寸>结构类型，影响单胞结构孔隙率的主次顺序为：支柱尺寸>结构类型>孔径尺寸。选用响应面法建立近似模型，以股骨的杨氏模量0.97 GPa为优化目标，采用序列二次规划法对单胞结构进行优化，再进行模拟验证。验证结果表明所采用的优化设计方法是有效的，从而为人工骨的结构提供了新的设计方法。

https://orcid.org/0000-0002-2380-4701 (连婷婷) 

中国组织工程研究杂志出版内容重点：生物材料；骨生物材料；口腔生物材料；纳米材料；缓释材料；材料相容性；组织工程

关键词: 股骨, 人工骨, 单胞结构, 有限元分析, 压缩性能, 正交实验, 优化设计

Abstract: BACKGROUND: Artificial bone implantation is an important method for the treatment of severe osteoporosis and bone injury. However, the mechanical compatibility with the host bone should be considered during the implantation, especially to match the Young’s modulus of the artificial bone with the host bone. 
OBJECTIVE: To analyze the influence of the structure type, pillar size and aperture size on Young’s modulus and porosity of cell structure.
METHODS: Three types of unit cell structures (pillar, perforated plate, cylindrical aperture) that described the microstructure of bones were designed. Orthogonal experiments were designed. The unit cell structure was statically analyzed based on finite element simulation. The range analysis and variance analysis were used to study the influence of three types of unit cell structure, pillar size and aperture size on the Young’s modulus and porosity of the unit cell structure. Based on the orthogonal experimental data, a response surface approximate model was established. The Young’s modulus of the cancellous bone of the proximal femur was taken as the optimization target. The sequential quadratic programming method was selected to optimize the parameter design of the unit cell structure.
RESULTS AND CONCLUSION: The results of range analysis and variance analysis showed that the primary and secondary order of the above three factors affecting Young’s modulus was: pillar size > aperture size > structure type, and the primary and secondary order affecting porosity was: pillar size > structure type > aperture size. In addition, the response surface method was used to establish the approximate model, and the sequence quadratic programming method was adopted to optimize the unit cell structure with the Young’s modulus of femur 0.97 GPa as the optimization objective, and then the simulation verification was carried out. The results show that the optimal design method is effective, which provides a new design method for artificial bone structure.

Key words: femur, artificial bone, unit cell structure, finite element analysis, compression properties, orthogonal test, optimization design

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