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RegionTPMS — Region based triply periodic minimal surfaces (TPMS) for 3-D printed multiphase bone scaffolds with exact porosity values

机译：基于RegionTPMS - 基于区域的三个周期性最小表面（TPMS），适用于具有精确孔隙率值的3-D印刷多相骨支架

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With the advances in biocompatible materials for additive manufacturing (AM) methods, triply periodic minimal surface (TPMS) functions have been gaining grounds in design and development of bone scaffolds. Their promising results for cell proliferation, differentiation and physical characteristics in-vivo have drawn attention in both biomedical and engineering communities. In order to advance the current state-of-the-art, a region based TPMS scaffold generation algorithm is proposed, where the exact porosity values and explicitly described surface functions are used as the input parameters. Rather than adding thickness to the minimal surfaces, as being the common practice, regions are defined within the range of local minimum and maximum of the investigated surface functions in the present study. Therefore, it is possible to design and print the 3-D scaffolds with the exact desired porosity and also define interfaces for functionally graded scaffolds. In order to demonstrate the region-based scaffold concept, first, porous scaffolds based on different mathematical functions (Schwarz-D, Schwarz-P, Gyroid, Fischer–Koch S, Fischer–Koch Y, Lidinoid, I-WP, F-RD and Split-P surface functions) with the porosity values0.2,0.3,0.4,0.5,0.6,0.7were demonstrated. Secondly, multi-phase and multi-porous scaffolds based on the region ranges were presented. The related editable Mathematica notebooks and sample 3D printing files in the standard triangle language (STL) format were also made available for the community use athttps://github.com/metudust/RegionTPMSunder MIT license.
机译：随着生物相容性材料的进展，添加剂制造（AM）方法，三个周期性最小表面（TPMS）功能一直在骨支架的设计和开发中获得基础。他们对体内细胞增殖，分化和物理特性的有希望的结果引起了生物医学和工程社区的关注。为了推进当前的最先进的，提出了一种基于区域的TPMS脚手架生成算法，其中使用精确的孔隙率值和明确描述的曲面函数用作输入参数。而不是将厚度添加到最小表面，作为常见的做法，而是在本研究中的局部最小和最大值的范围内定义区域。因此，可以使用精确的所需孔隙度设计和打印三维支架，并且还可以限定功能渐变支架的界面。为了展示基于地区的支架概念，首先，基于不同数学函数的多孔支架（Schwarz-D，Schwarz-P，陀螺仪，Fischer-Koch S，Fischer-Koch Y，Lidinoid，I-WP，F-RD和分裂p曲面函数），孔隙度值0.2,0.3,0.4,0.5,0.6,0.7展示。其次，提出了基于区域范围的多相和多多孔支架。标准三角形语言（STL）格式中的相关可编辑MatheMatica笔记本和示例3D打印文件也可用于社区使用Athttps：//github.com/metudust/regiontpmsundunders许可证。

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