Heterogeneous Porous Scaffold Generation Using Trivariate B-spline Solids and Triply Periodic Minimal Surfaces

AbstractA systematic analysis of a family of triply periodic minimal surfaces of genus seven and trigonal symmetry is given. The family is found to contain five such surfaces free from self-intersections, three of which are previously unknown. Exact parametrisations of all surfaces are provided using the Weierstrass representation.

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Research on design method of gradient porous support based on triply periodic minimal surfaces

10.1109/3m-nano49087.2021.9599814 ◽

2021 ◽

Author(s):

Minsheng Chen ◽

Jie Liu ◽

Tao Zhu

Keyword(s):

Minimal Surfaces ◽

Design Method ◽

Porous Support ◽

Triply Periodic Minimal Surfaces ◽

Triply Periodic

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Triply Periodic Minimal Surfaces Sheet Scaffolds for Tissue Engineering Applications: An Optimization Approach toward Biomimetic Scaffold Design

ACS Applied Bio Materials ◽

10.1021/acsabm.8b00052 ◽

2018 ◽

Vol 1 (2) ◽

pp. 259-269 ◽

Cited By ~ 23

Author(s):

Sanjairaj Vijayavenkataraman ◽

Lei Zhang ◽

Shuo Zhang ◽

Jerry Ying Hsi Fuh ◽

Wen Feng Lu

Keyword(s):

Tissue Engineering ◽

Minimal Surfaces ◽

Optimization Approach ◽

Scaffold Design ◽

Engineering Applications ◽

Triply Periodic Minimal Surfaces ◽

Triply Periodic ◽

Biomimetic Scaffold

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Porous polylactic acid scaffolds for bone regeneration: A study of additively manufactured triply periodic minimal surfaces and their osteogenic potential

Journal of Tissue Engineering ◽

10.1177/2041731420956541 ◽

2020 ◽

Vol 11 ◽

pp. 204173142095654

Author(s):

Anna Diez-Escudero ◽

Hugo Harlin ◽

Per Isaksson ◽

Cecilia Persson

Keyword(s):

Polylactic Acid ◽

Cancellous Bone ◽

Minimal Surfaces ◽

Pore Distribution ◽

Osteogenic Potential ◽

Osteoblastic Cell ◽

Triply Periodic Minimal Surfaces ◽

Triply Periodic ◽

3D Printed ◽

Grade Material

Three different triply periodic minimal surfaces (TPMS) with three levels of porosity within those of cancellous bone were investigated as potential bone scaffolds. TPMS have emerged as potential designs to resemble the complex mechanical and mass transport properties of bone. Diamond, Schwarz, and Gyroid structures were 3D printed in polylactic acid, a resorbable medical grade material. The 3D printed structures were investigated for printing feasibility, and assessed by morphometric studies. Mechanical properties and permeability investigations resulted in similar values to cancellous bone. The morphometric analyses showed three different patterns of pore distribution: mono-, bi-, and multimodal pores. Subsequently, biological activity investigated with pre-osteoblastic cell lines showed no signs of cytotoxicity, and the scaffolds supported cell proliferation up to 3 weeks. Cell differentiation investigated by alkaline phosphatase showed an improvement for higher porosities and multimodal pore distributions, suggesting a higher dependency on pore distribution and size than the level of interconnectivity.

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