2017
DOI: 10.1088/1758-5090/aa6553
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Surface curvature in triply-periodic minimal surface architectures as a distinct design parameter in preparing advanced tissue engineering scaffolds

Abstract: Reproduction of the anatomical structures and functions of tissues using cells and designed 3D scaffolds is an ongoing challenge. For this, scaffolds with appropriate biomorphic surfaces promoting cell attachment, proliferation and differentiation are needed. In this study, eight triply-periodic minimal surface (TPMS)-based scaffolds were designed using specific trigonometric equations, providing the same porosity and the same number of unit cells, while presenting different surface curvatures. The scaffolds w… Show more

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Cited by 123 publications
(66 citation statements)
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“…While we have so far focused on fiber‐ or tube‐like cylindrical structures, where k ≥ 0 (convex) or k ≤ 0 (concave), more complex geometries in biomaterials and scaffolds can concurrently present both positive and negative curvatures to the cells . Thus, we next studied structures that contain both convex and concave surfaces in different directions.…”
Section: Resultsmentioning
confidence: 99%
“…While we have so far focused on fiber‐ or tube‐like cylindrical structures, where k ≥ 0 (convex) or k ≤ 0 (concave), more complex geometries in biomaterials and scaffolds can concurrently present both positive and negative curvatures to the cells . Thus, we next studied structures that contain both convex and concave surfaces in different directions.…”
Section: Resultsmentioning
confidence: 99%
“…Using the mathematical formulas described by [47,48] cylindrical porous 3D structures with a diamond pore architecture were generated using Mathmod 3.1 (https://sourceforge.net/projects/mathmod/). Subsequently these structures were modified to have a diameter of approximately 10mm and a height of 7.5-8 mm and converted into printable .stl files using CAD software (Rhinoceros 3D, Robert McNeel and associates).…”
Section: Stereolithographymentioning
confidence: 99%
“…The external geometry of the scaffold can be designed in a patient-specific manner, based on medical imaging data (e.g., from MRI or CT scans) [17]. Moreover, this approach also allows detailed control of the internal geometry, even using mathematically defined functions [19,28,29]. Reproducible control of the internal scaffold architecture plays an essential role in employing the scaffold internal design to guide cell infiltration and tissue organization in the desired direction.…”
Section: Introductionmentioning
confidence: 99%
“…The Gaussian curvature distribution of the scaffold struts can be calculated and by adjusting the number of unit cells and scaffold dimensions a scaffold can be designed with predefined Gaussian curvature distributions. Image adapted from [28]. (D) The CAD model of a hierarchical scaffold that combines gel microfibers (20 wt % gelatin solution and 4 wt % sodium alginate, diameter = 440 µm) produced by 3D bioprinting and PCL nanofibers (diameter = 190 nm) produced by electrospinning.…”
Section: Introductionmentioning
confidence: 99%