中国组织工程研究

中国组织工程研究 ›› 2026, Vol. 30 ›› Issue (32): 8327-8334.doi: 10.12307/2026.460

• 组织工程骨材料 tissue-engineered bone • 上一篇    下一篇

S型三周期极小曲面径向功能梯度骨支架的力学及流体动力学特性

贾祥红，许  燕，张旭婧   

  1. 新疆大学机械工程学院，新疆维吾尔自治区乌鲁木齐市   830017
  • 接受日期:2026-02-09 出版日期:2026-11-18 发布日期:2026-04-23
  • 通讯作者: 许燕，教授，博士生导师，新疆大学机械工程学院，新疆维吾尔自治区乌鲁木齐市 830017
  • 作者简介:贾祥红，女，1995年生，河南省周口市人，汉族，在读硕士，主要从事骨组织工程，骨支架的制备与性能研究。
  • 基金资助:
    新疆维吾尔自治区自然科学基金资助项目(2022D01C34)，项目负责人：许燕；国家自然科学基金资助项目(52365053)，项目负责人：许燕

Mechanical and fluid dynamic characteristics of S-type triply periodic minimal surface radial functionally graded bone scaffolds

Jia Xianghong, Xu Yan, Zhang Xujing   

  1. School of Mechanical Engineering, Xinjiang University, Urumqi 830017, Xinjiang Uygur Autonomous Region, China
  • Accepted:2026-02-09 Online:2026-11-18 Published:2026-04-23
  • Contact: Xu Yan, Professor, Doctoral supervisor, School of Mechanical Engineering, Xinjiang University, Urumqi 830017, Xinjiang Uygur Autonomous Region, China
  • About author:Jia Xianghong, MS candidate, School of Mechanical Engineering, Xinjiang University, Urumqi 830017, Xinjiang Uygur Autonomous Region, China
  • Supported by:
    Natural Science Foundation Project of Xinjiang Uygur Autonomous Region, No. 2022D01C34 (to XY); National Natural Science Foundation of China, No. 52365053 (to XY)

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摘要：

文题释义：
三周期极小曲面：是以平均曲率为零的光滑曲面为边界的双连通实体空腔在三维空间上周期分布构成的一种新型多孔结构，具有承载能力强、能量吸收率高、疲劳性能好等优异性质。三周期极小曲面结构是通过极小曲面将给定空间划分成2个或多个域后在3个方向上周期性排布的三维拓扑结构，极小曲面形式不唯一，包括Primitive (P)型曲面、Gyroid (G)型曲面、Diamond(D)型曲面和I-wrapped package (I-WP)型曲面等。
功能分级支架：特指采用数字光处理技术一次性成型的、具有径向孔隙梯度的β-硅酸钙/生物玻璃复合陶瓷支架，“功能分级”具体体现为：从支架外层到内层，其结构拓扑(从P型过渡到G型)和孔隙率(从35%渐变至65%)呈连续变化，这种设计旨在仿生天然骨哈弗斯系统的梯度特性，以解决均质支架无法兼顾的力学支撑与生物功能的矛盾。

背景：骨支架的仿生设计与功能梯度调控是提升骨缺损修复效能的关键，现阶段的均质支架难以协调力学承载与物质传输矛盾，植入后易引发应力集中或营养供给不足，成为制约骨再生效果的关键因素。
目的：研究Primitive(P)型、Gyroid(G)型及GP型复合结构对支架力学性能、物质传输能力及细胞微环境构建的影响差异。
方法：基于数字光处理技术，结合三周期极小曲面理论，提出Sigmoid函数驱动的拓扑渐变算法，制备单一G型结构、单一P型结构以及GP型复合结构的β-硅酸钙/生物活性玻璃径向分级多孔支架，通过力学仿真、流体动力学模拟与壁剪切应力分析系统对比3类结构支架的性能。
结果与结论：①有限元分析显示，G型结构支架的应力分布均匀，最大Mises应力最大，GP型复合结构支架的最大Mises应力最低，应力分布较单一结构支架更均匀；P型结构支架的最大位移量最大，GP型复合结构支架的最大位移量最小。静态压缩测试结果显示，G型、P型、GP型复合结构支架的弹性模量分别为2.90，3.39，3.38 GPa。流体动力学模拟与渗透性测试显示，GP型复合结构支架的渗透率为3.4×10-9 m²，显著高于单一结构支架，并且处于松质骨渗透率参考范围的最佳区间。G型结构支架壁剪切应力的平均值为0.86 Pa、最大值为1.13 Pa，P型结构支架壁剪切应力的平均值为1.40 Pa、最大值为2.65 Pa，GP型复合结构支架壁剪切应力的平均值为1.01 Pa，最大值为1.68 Pa，处于骨再生最佳刺激区间。②结果表明，仿哈弗斯系统梯度设计的GP型复合结构支架，可有效协调力学支撑与生物功能的矛盾。
https://orcid.org/0009-0002-5616-7240 (贾祥红) 

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: β-硅酸钙">, 生物玻璃">, 骨支架">, 功能分级支架">, 三周期极小曲面">, 壁剪切应力

Abstract: BACKGROUND: The biomimetic design and functional gradient regulation of bone scaffolds are key to improving the efficacy of bone defect repair. Currently, homogeneous scaffolds struggle to balance mechanical load-bearing and material transport, often leading to stress concentration or inadequate nutrient supply after implantation, thus limiting bone regeneration outcomes.
OBJECTIVE: To investigate the differences in mechanical performance, mass transport capacity, and cellular microenvironment construction among Primitive (P-type), Gyroid (G-type), and GP composite scaffold structures.
METHODS: Based on digital light processing and triply periodic minimal surface theory, a Sigmoid function-driven topological gradient algorithm was proposed to fabricate β-calcium silicate/bioglass radially graded scaffolds with single G-type structure, single P-type structure, and GP type composite structure. The performance of the three types of scaffolds was systematically compared through mechanical simulation, fluid dynamics simulation, and wall shear stress analysis.
RESULTS AND CONCLUSION: (1) Finite element analysis showed that the G-type structure scaffold had a uniform stress distribution and the highest maximum Mises stress, while the GP-type composite structure scaffold had the lowest maximum Mises stress and a more uniform stress distribution than the single-structure scaffolds. The P-type structure scaffold had the largest maximum displacement, while the GP-type composite structure scaffold had the smallest maximum displacement. Static compression test results showed that the elastic moduli of the G-type, P-type, and GP-type composite structure scaffolds were 2.90, 3.39, and 3.38 GPa, respectively. Fluid dynamics simulation and permeability tests showed that the permeability of the GP-type composite structure scaffold was 3.4 × 10⁻⁹ m², significantly higher than that of the single-structure scaffolds, and within the optimal range of cancellous bone permeability. The average wall shear stress of the G-type structure scaffold was 0.86 Pa, with a maximum of 1.13 Pa; the average wall shear stress of the P-type structure scaffold was 1.40 Pa, with a maximum of 2.65 Pa; and the average wall shear stress of the GP-type composite structure scaffold was 1.01 Pa, with a maximum of 1.68 Pa, which is within the optimal range for bone regeneration stimulation. (2) The results indicate that the GP-type composite structure scaffold, designed with a biomimetic Haversian system gradient, can effectively balance mechanical support and biological function.

Key words:  , β-calcium silicate">, bioactive glass">, bone scaffold">, functionally graded scaffold">, triply periodic minimal surface">, wall shear stress

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