基于知识库的骨支架可控分形设计

Effectively Applying Database and Fractals to Bionic Design of Artificial Bone Scaffold

骨支架微观结构知识表达的欠缺,制约了可靠的人工骨支架仿生设计的科学依据和准则,间接影响骨支架仿生制造的研究和进展。基于Hausdorff分形几何理论,按照分形维数建立骨骼微孔形态分形维数知识规则,并根据分`形维数与孔隙率关系模型建立了二维平面骨支架孔隙率知识规则。系统地建立了从骨骼微观形态到人体骨微孔支架仿生设计的知识库设计方法。在分形维数与孔隙率双耦合因素作用下系统分析了孔隙率、孔填充数量与孔分形维数之间的关系,并分析和研究了微孔的分形维数和数量对填充之后的二维结构图的分形维数和孔隙率的影响。结果表明基于知识库的人工骨支架可控分形理论可以根据个体差异仿生设计骨支架微观结构特征,能够有效地为仿生制造提供驱动模型。

The lack of knowledge representation for the microstructure of the bone scaffold restricts the reliable bionic design of artificial bone scaffold and restricts its guidelines methodology. Therefore, it limits the research and progress of bone scaffold bionic manufacturing. Based on the Hausdorff fractal geometry theory, we built the knowl- edge rule of bones microscopic pores shape fractal dimension according to the fractal dimension calculation results. And it established the knowledge rule of bone scaffold porosity in accordance with fractal dimension and with the porosity of the relational model. It systematically set up a bionic design methodology based on the relationship be- tween bone micromorphology and human bone microscopic porous design. Doing suitable analyses, we demonstrated the relationship among the porosity, the number of filled pores, and the fractal dimension of the pattern of these pores. For individual differences in the microstructure of the bone scaffold properties, the calculated results show that, compared with other scaffold design methodology, our artificial bone scaffold bionic design based on controlla- ble fractal theory and knowledge database is indeed effective.