Functionally Graded Scaffolds with Programmable Pore Size Distribution Based on Triply Periodic Minimal Surface Fabricated by Selective Laser Melting

Functional graded materials are gaining increasing attention in tissue engineering (TE) due to their superior mechanical properties and high biocompatibility. Triply periodic minimal surface (TPMS) has the capability to produce smooth surfaces and interconnectivity, which are very essential for bone scaffolds. To further enhance the versatility of TPMS, a parametric design method for functionally graded scaffold (FGS) with programmable pore size distribution is proposed in this study. Combining the relative density and unit cell size, the effect of design parameters on the pore size was also considered to effectively govern the distribution of pores in generating FGS. We made use of Gyroid to generate different types of FGS, which were then fabricated using selective laser melting (SLM), followed by investigation and comparison of their structural characteristics and mechanical properties. Their morphological features could be effectively controlled, indicating that TPMS was an effective way to achieve functional gradients which had bone-mimicking architectures. In terms of mechanical performance, the proposed FGS could achieve similar mechanical response under compression tests compared to the reference FGS with the same range of density gradient. The proposed method with control over pore size allows for effectively generating porous scaffolds with tailored properties which are potentially adopted in various fields.

[1]  A. Panesar,et al.  Strategies for functionally graded lattice structures derived using topology optimisation for Additive Manufacturing , 2018 .

[2]  Yanling Tian,et al.  Novel real function based method to construct heterogeneous porous scaffolds and additive manufacturing for use in medical engineering. , 2015, Medical engineering & physics.

[3]  I. Ashcroft,et al.  Effective design and simulation of surface-based lattice structures featuring volume fraction and cell type grading , 2018, Materials & Design.

[4]  L. Hofbauer,et al.  Increased pore size of scaffolds improves coating efficiency with sulfated hyaluronan and mineralization capacity of osteoblasts , 2019, Biomaterials research.

[5]  M. T. Andani,et al.  Prediction of the elastic response of TPMS cellular lattice structures using finite element method , 2017 .

[6]  Nathan J. Castro,et al.  3D printing of novel osteochondral scaffolds with graded microstructure , 2016, Nanotechnology.

[7]  Jason L Guo,et al.  Hierarchically designed bone scaffolds: From internal cues to external stimuli. , 2019, Biomaterials.

[8]  Wenjin Tao,et al.  Design of lattice structure for additive manufacturing , 2016, 2016 International Symposium on Flexible Automation (ISFA).

[9]  Neri Oxman,et al.  Variable property rapid prototyping , 2011 .

[10]  Julian R. Jones Reprint of: Review of bioactive glass: From Hench to hybrids. , 2015, Acta biomaterialia.

[11]  M. Ashby The properties of foams and lattices , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[12]  C. Yan,et al.  Compression–compression fatigue behaviour of gyroid-type triply periodic minimal surface porous structures fabricated by selective laser melting , 2019 .

[13]  Tomiharu Matsushita,et al.  Effect of pore size on bone ingrowth into porous titanium implants fabricated by additive manufacturing: An in vivo experiment. , 2016, Materials science & engineering. C, Materials for biological applications.

[14]  Dawei Li,et al.  Optimal design and modeling of gyroid-based functionally graded cellular structures for additive manufacturing , 2018, Comput. Aided Des..

[15]  Qian Tang,et al.  Mechanical behaviours and mass transport properties of bone-mimicking scaffolds consisted of gyroid structures manufactured using selective laser melting. , 2019, Journal of the mechanical behavior of biomedical materials.

[16]  W. Lu,et al.  3D-printed ceramic triply periodic minimal surface structures for design of functionally graded bone implants , 2020, Materials & Design.

[17]  C. V. van Blitterswijk,et al.  Gradients in pore size enhance the osteogenic differentiation of human mesenchymal stromal cells in three-dimensional scaffolds , 2016, Scientific Reports.

[18]  Guanjun Wang,et al.  Design and Compressive Behavior of Controllable Irregular Porous Scaffolds: Based on Voronoi-Tessellation and for Additive Manufacturing. , 2018, ACS biomaterials science & engineering.

[19]  William E. Lorensen,et al.  Marching cubes: A high resolution 3D surface construction algorithm , 1987, SIGGRAPH.

[20]  Junjie Jiang,et al.  Functionally graded porous scaffolds in multiple patterns: New design method, physical and mechanical properties , 2018, Materials & Design.

[21]  Su Wang,et al.  Pore functionally graded Ti6Al4V scaffolds for bone tissue engineering application , 2019, Materials & Design.

[22]  Reinhard Nesper,et al.  Nodal surfaces of Fourier series: Fundamental invariants of structured matter , 1991 .

[23]  C. Yan,et al.  Investigation on the orientation dependence of elastic response in Gyroid cellular structures. , 2019, Journal of the mechanical behavior of biomedical materials.

[24]  Jianzhong Fu,et al.  Efficient generation strategy for hierarchical porous scaffolds with freeform external geometries , 2020 .

[25]  J. Greer,et al.  Three-dimensional nano-architected scaffolds with tunable stiffness for efficient bone tissue growth. , 2017, Acta biomaterialia.

[26]  A. P. Anaraki,et al.  Additive manufacturing and mechanical characterization of graded porosity scaffolds designed based on triply periodic minimal surface architectures. , 2016, Journal of the mechanical behavior of biomedical materials.

[27]  Bahattin Koc,et al.  Functionally heterogeneous porous scaffold design for tissue engineering , 2012, Comput. Aided Des..

[28]  A. Bandyopadhyay,et al.  Bone tissue engineering using 3D printing , 2013 .

[29]  Dong-Jin Yoo,et al.  Advanced porous scaffold design using multi-void triply periodic minimal surface models with high surface area to volume ratios , 2014 .

[30]  M. Ashby,et al.  Cellular solids: Structure & properties , 1988 .

[31]  Lilan Gao,et al.  Simple method to generate and fabricate stochastic porous scaffolds. , 2015, Materials science & engineering. C, Materials for biological applications.

[32]  R. Huiskes,et al.  The relationship between stress shielding and bone resorption around total hip stems and the effects of flexible materials. , 1992, Clinical orthopaedics and related research.

[33]  Chunqiu Zhang,et al.  Building implicit-surface-based composite porous architectures , 2017 .

[34]  Klaus Mecke,et al.  Minimal surface scaffold designs for tissue engineering. , 2011, Biomaterials.

[35]  S. Matsuda,et al.  Title Effect of pore size on bone ingrowth into porous titanium implants fabricated by additive manufacturing: An in vivo , 2017 .

[36]  H. Karcher The triply periodic minimal surfaces of Alan Schoen and their constant mean curvature companions , 1989 .

[37]  H. Seitz,et al.  Three-dimensional printing of porous ceramic scaffolds for bone tissue engineering. , 2005, Journal of biomedical materials research. Part B, Applied biomaterials.

[38]  Nan Yang,et al.  Multi-morphology transition hybridization CAD design of minimal surface porous structures for use in tissue engineering , 2014, Comput. Aided Des..

[39]  Katia Bertoldi,et al.  Mathematically defined tissue engineering scaffold architectures prepared by stereolithography. , 2010, Biomaterials.

[40]  L. Hao,et al.  Continuous functionally graded porous titanium scaffolds manufactured by selective laser melting for bone implants. , 2018, Journal of the mechanical behavior of biomedical materials.

[41]  T. Adachi,et al.  Framework for optimal design of porous scaffold microstructure by computational simulation of bone regeneration. , 2006, Biomaterials.

[42]  Rashid K. Abu Al-Rub,et al.  Additive manufacturing of architected catalytic ceramic substrates based on triply periodic minimal surfaces , 2019, Journal of the American Ceramic Society.

[43]  Jason A Inzana,et al.  3D printing of composite calcium phosphate and collagen scaffolds for bone regeneration. , 2014, Biomaterials.

[44]  Zhiwei Lin,et al.  Layered infill area generation from triply periodic minimal surfaces for additive manufacturing , 2019, Comput. Aided Des..

[45]  Eduardo Saiz,et al.  Toward Strong and Tough Glass and Ceramic Scaffolds for Bone Repair , 2013, Advanced functional materials.

[46]  S. Zahedi,et al.  3D printing of bone scaffolds with hybrid biomaterials , 2019, Composites Part B: Engineering.

[47]  G. Fang,et al.  Biomechanical influence of structural variation strategies on functionally graded scaffolds constructed with triply periodic minimal surface , 2020, Additive Manufacturing.

[48]  A R Boccaccini,et al.  Mechanical properties of highly porous PDLLA/Bioglass composite foams as scaffolds for bone tissue engineering. , 2005, Acta biomaterialia.

[49]  Guoying Dong,et al.  Design and Optimization of Graded Cellular Structures With Triply Periodic Level Surface-Based Topological Shapes , 2019, Journal of Mechanical Design.

[50]  Shengfa Wang,et al.  A lightweight methodology of 3D printed objects utilizing multi-scale porous structures , 2019, The Visual Computer.

[51]  Dong-Jin Yoo,et al.  Heterogeneous porous scaffold design using the continuous transformations of triply periodic minimal surface models , 2013 .

[52]  Hongchao Kou,et al.  Influence of pore size of porous titanium fabricated by vacuum diffusion bonding of titanium meshes on cell penetration and bone ingrowth. , 2016, Acta biomaterialia.

[53]  Ulrich Pinkall,et al.  Computing Discrete Minimal Surfaces and Their Conjugates , 1993, Exp. Math..

[54]  A. Studart,et al.  3D Printing of Materials with Tunable Failure via Bioinspired Mechanical Gradients , 2018, Advanced materials.

[55]  Rashid K. Abu Al-Rub,et al.  Functionally graded and multi-morphology sheet TPMS lattices: Design, manufacturing, and mechanical properties. , 2019, Journal of the mechanical behavior of biomedical materials.

[56]  J. Plocher,et al.  Effect of density and unit cell size grading on the stiffness and energy absorption of short fibre-reinforced functionally graded lattice structures , 2020 .

[57]  Yan Hu,et al.  Osteogenesis of 3D printed porous Ti6Al4V implants with different pore sizes. , 2018, Journal of the mechanical behavior of biomedical materials.

[58]  S. Hollister Porous scaffold design for tissue engineering , 2005, Nature materials.

[59]  David Eglin,et al.  Surface curvature in triply-periodic minimal surface architectures as a distinct design parameter in preparing advanced tissue engineering scaffolds , 2017, Biofabrication.

[60]  E LorensenWilliam,et al.  Marching cubes: A high resolution 3D surface construction algorithm , 1987 .

[61]  Heike Walles,et al.  Tissue Mimicry in Morphology and Composition Promotes Hierarchical Matrix Remodeling of Invading Stem Cells in Osteochondral and Meniscus Scaffolds , 2018, Advanced materials.