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

2018 ◽  
Vol 1 (2) ◽  
pp. 259-269 ◽  
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

scholarly journals On the Tortuosity of TPMS Scaffolds for Tissue Engineering

Symmetry ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 596
Author(s):  
Rafael Guerreiro ◽  
Tiago Pires ◽  
José M. Guedes ◽  
Paulo R. Fernandes ◽  
André P. G. Castro
Keyword(s):  
Tissue Engineering ◽  
Bone Tissue Engineering ◽  
Bone Tissue ◽  
Minimal Surfaces ◽  
Fluid Dynamic ◽  
Tissue Growth ◽  
Cfd Simulations ◽  
New Developments ◽  
Triply Periodic Minimal Surfaces ◽  
Triply Periodic

Recently, bone tissue engineering (TE) has seen new developments, with triply periodic minimal surfaces (TPMSs) being used to develop new porosity-controlled scaffolds to interface new tissue growth. The process of choosing the best geometry to a specific application still lacks research, so the goal for this work is to propose a new method of scaffold selection, based on assessing the tortuosity inside these symmetric TPMS-based structures. Additionally, computer fluid dynamic (CFD) simulations were conducted to validate this method. The comparison between tortuosity and CFD outputs suggests that an analysis of the tortuosity could be used as an early indicator of the scaffold’s viability for specific applications, favouring scaffolds with more intricate and curvature-dependent streamlines.

Description of a 3-periodic minimal surface family with trigonal symmetry

1994 ◽  
Vol 209 (1) ◽  
Author(s):  
A. Fogden
Keyword(s):  
Minimal Surface ◽  
Minimal Surfaces ◽  
Weierstrass Representation ◽  
Systematic Analysis ◽  
Trigonal Symmetry ◽  
Triply Periodic Minimal Surfaces ◽  
Periodic Minimal Surface ◽  
Triply Periodic ◽  
The Family

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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