Heterogeneous minimal surface porous scaffold design using the distance field and radial basis functions.

This paper presented an effective method for the 3D heterogeneous porous scaffold design of human tissue using triply periodic minimal surface (TPMS) internal pore architectures. First, an implicit solid representing the smooth 3D scalar field for the porosity distribution was reconstructed by interpolating the geometric positions of control points and porosity values defined at those points using an implicit interpolation algorithm based on the thin-plate radial basis function. After generating the implicit solid representing the smooth 3D scalar field for the porosity distribution, a functionally graded tissue scaffold with accurately controlled porosity distribution was designed using the TPMS-based unit cell libraries. Numerical results showed that the proposed scaffold design method has the potential benefits for accurately controlling the spatial porosity distribution within an arbitrarily shaped scaffold while keeping the advantage of the TPMS-based unit cell libraries.

[1]  G. Amoabediny,et al.  The role of biodegradable engineered scaffolds seeded with Schwann cells for spinal cord regeneration , 2009, Neurochemistry International.

[2]  Dong-Jin Yoo,et al.  Computer-aided porous scaffold design for tissue engineering using triply periodic minimal surfaces , 2011 .

[3]  Dong-Jin Yoo,et al.  Three-dimensional human body model reconstruction and manufacturing from CT medical image data using a heterogeneous implicit solid based approach , 2011 .

[4]  N. Kikuchi,et al.  A novel method for biomaterial scaffold internal architecture design to match bone elastic properties with desired porosity. , 2004, Journal of biomechanics.

[5]  Colleen L Flanagan,et al.  Bone tissue engineering using polycaprolactone scaffolds fabricated via selective laser sintering. , 2005, Biomaterials.

[6]  S. Hyde,et al.  Novel surfactant mesostructural topologies: between lamellae and columnar (hexagonal) forms , 2003 .

[7]  K. Leong,et al.  Fabrication of controlled release biodegradable foams by phase separation. , 1995, Tissue engineering.

[8]  Lisa E. Freed,et al.  Accordion-Like Honeycombs for Tissue Engineering of Cardiac Anisotropy , 2008, Nature materials.

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

[10]  Binil Starly,et al.  Computer-aided characterization for effective mechanical properties of porous tissue scaffolds , 2005, Comput. Aided Des..

[11]  Richard A. Robb,et al.  Schwarz meets Schwann: Design and fabrication of biomorphic and durataxic tissue engineering scaffolds , 2006, Medical Image Anal..

[12]  Clemens A van Blitterswijk,et al.  Effects of the architecture of tissue engineering scaffolds on cell seeding and culturing. , 2010, Acta biomaterialia.

[13]  Dong-Jin Yoo,et al.  Three-dimensional surface reconstruction of human bone using a B-spline based interpolation approach , 2011, Comput. Aided Des..

[14]  A. Christy,et al.  Medial surfaces of hyperbolic structures , 2003 .

[15]  R Langer,et al.  Novel approach to fabricate porous sponges of poly(D,L-lactic-co-glycolic acid) without the use of organic solvents. , 1996, Biomaterials.

[16]  A. Boccaccini,et al.  Biodegradable and bioactive porous polymer/inorganic composite scaffolds for bone tissue engineering. , 2006, Biomaterials.

[17]  J. Karp,et al.  Scaffolds for Tissue Engineering , 2003 .

[18]  Stephen T. Hyde,et al.  Continuous transformations of cubic minimal surfaces , 1999 .

[19]  S. Sen,et al.  Matrix Elasticity Directs Stem Cell Lineage Specification , 2006, Cell.

[20]  Lee E. Weiss,et al.  Bayesian computer-aided experimental design of heterogeneous scaffolds for tissue engineering , 2005, Comput. Aided Des..

[21]  P. Fratzl,et al.  Designing biomimetic scaffolds for bone regeneration: why aim for a copy of mature tissue properties if nature uses a different approach? , 2010 .

[22]  Dong-Jin Yoo,et al.  Rapid surface reconstruction from a point cloud using the least-squares projection , 2010 .

[23]  R Langer,et al.  Laminated three-dimensional biodegradable foams for use in tissue engineering. , 1993, Biomaterials.

[24]  D. Yoo Porous scaffold design using the distance field and triply periodic minimal surface models. , 2011, Biomaterials.

[25]  Michael O'Keeffe,et al.  A short history of an elusive yet ubiquitous structure in chemistry, materials, and mathematics. , 2008, Angewandte Chemie.

[26]  Hyuk-Hong Kwon,et al.  Shape reconstruction, shape manipulation, and direct generation of input data from point clouds for rapid prototyping , 2009 .

[27]  Scott J. Hollister,et al.  Freeform fabrication of Nylon‐6 tissue engineering scaffolds , 2003 .

[28]  M. Cima,et al.  Mechanical properties of dense polylactic acid structures fabricated by three dimensional printing. , 1996, Journal of biomaterials science. Polymer edition.

[29]  Wei Sun,et al.  Computer‐aided tissue engineering: application to biomimetic modelling and design of tissue scaffolds , 2004, Biotechnology and applied biochemistry.

[30]  Dong-Jin Yoo Filling Holes in Large Polygon Models Using an Implicit Surface Scheme and the Domain Decomposition Method , 2007 .

[31]  T J Sims,et al.  Polymer scaffolds fabricated with pore-size gradients as a model for studying the zonal organization within tissue-engineered cartilage constructs. , 2005, Tissue engineering.

[32]  J. Davies,et al.  Use of a biomimetic strategy to engineer bone. , 2003, Journal of biomedical materials research. Part A.

[33]  Scott C. Brown,et al.  A three-dimensional osteochondral composite scaffold for articular cartilage repair. , 2002, Biomaterials.

[34]  Douglas A Lauffenburger,et al.  Microarchitecture of three-dimensional scaffolds influences cell migration behavior via junction interactions. , 2008, Biophysical journal.

[35]  G. Schröder-Turk,et al.  Bicontinuous geometries and molecular self-assembly: comparison of local curvature and global packing variations in genus-three cubic, tetragonal and rhombohedral surfaces , 2006 .

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

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

[38]  D. Hutmacher,et al.  Scaffolds in tissue engineering bone and cartilage. , 2000, Biomaterials.

[39]  Dong-Jin Yoo,et al.  Three-dimensional morphing of similar shapes using a template mesh , 2009 .

[40]  Malcolm N. Cooke,et al.  Use of stereolithography to manufacture critical-sized 3D biodegradable scaffolds for bone ingrowth. , 2003, Journal of biomedical materials research. Part B, Applied biomaterials.

[41]  P H Krebsbach,et al.  Engineering craniofacial scaffolds. , 2005, Orthodontics & craniofacial research.

[42]  S. Hollister,et al.  Optimal design and fabrication of scaffolds to mimic tissue properties and satisfy biological constraints. , 2002, Biomaterials.

[43]  Dong-Jin Yoo,et al.  General 3D offsetting of a triangular net using an implicit function and the distance fields , 2009 .

[44]  Hyoungshin Park,et al.  The significance of pore microarchitecture in a multi-layered elastomeric scaffold for contractile cardiac muscle constructs. , 2011, Biomaterials.

[45]  Deformations of the gyroid and lidinoid minimal surfaces , 2008 .

[46]  Robert E Guldberg,et al.  Effects of medium perfusion rate on cell-seeded three-dimensional bone constructs in vitro. , 2003, Tissue engineering.

[47]  D. Kaplan,et al.  Porosity of 3D biomaterial scaffolds and osteogenesis. , 2005, Biomaterials.

[48]  Stephen T. Hyde,et al.  The Language of Shape: The Role of Curvature in Condensed Matter: Physics, Chemistry and Biology , 1996 .

[49]  S. Torquato,et al.  Multifunctional composites: optimizing microstructures for simultaneous transport of heat and electricity. , 2002, Physical review letters.

[50]  I Zein,et al.  Mechanical properties and cell cultural response of polycaprolactone scaffolds designed and fabricated via fused deposition modeling. , 2001, Journal of biomedical materials research.