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

Medical Engineering and Physics

Volumn 34, Issue 5, 2012, Pages 625-639

  Yoo, Dongjin ^a  

^a Daejin University   (South Korea)

Author keywords

Distance field; Heterogeneous porous scaffold design; Implicit solid; Thin plate radial basis function; Triply periodic minimal surface

Indexed keywords

3-D SCALAR; CONTROL POINT; CONTROLLED POROSITY; DESIGN METHOD; DISTANCE FIELD; FUNCTIONALLY GRADED; GEOMETRIC POSITION; HUMAN TISSUES; INTERNAL PORES; INTERPOLATION ALGORITHMS; MINIMAL SURFACES; NUMERICAL RESULTS; POROSITY DISTRIBUTIONS; POROUS SCAFFOLD; POTENTIAL BENEFITS; RADIAL BASIS FUNCTIONS; TISSUE SCAFFOLDS; TRIPLY PERIODIC MINIMAL SURFACES; UNIT CELLS;

DESIGN; HIGH ENERGY PHYSICS; IMAGE SEGMENTATION; LIBRARIES; NUMERICAL METHODS; POROSITY; POROUS PLATES; RADIAL BASIS FUNCTION NETWORKS; THREE DIMENSIONAL; TISSUE;

SCAFFOLDS (BIOLOGY);

ACCURACY; ALGORITHM; ARTICLE; DISTANCE FIELD; GEOMETRY; HETEROGENEOUS MINIMAL SURFACE POROUS SCAFFOLD DESIGN; MATHEMATICAL ANALYSIS; POROSITY; PRIORITY JOURNAL; RADIAL BASED FUNCTION; TISSUE ENGINEERING;

BONE AND BONES; COMPUTER SIMULATION; FINITE ELEMENT ANALYSIS; MODELS, ANATOMIC; POROSITY; SURFACE PROPERTIES; TOMOGRAPHY, X-RAY COMPUTED; USER-COMPUTER INTERFACE;

EID: 84861338351     PISSN: 13504533     EISSN: 18734030     Source Type: Journal    
DOI: 10.1016/j.medengphy.2012.03.009     Document Type: Article

References (50)

1. Hyde S.T., Blum Z., Landh T., Lidin S., Ninham B.W., Andersson S., et al. The language of shape: the role of curvature in condensed matter: physics, chemistry and biology 1996, Elsevier Science Ed. 1.
2. Hyde S.T., Schroder G.E. Novel surfactant mesostructural topologies: between lamellae and columnar (hexagonal) forms. Curr Opin Colloid Interface 2003, 8(1):5-14.
3. Hyde S.T., O'Keeffe M., Proserpio D.M. A short history of an elusive yet ubiquitous structure in chemistry, materials, and mathematics. Angew Chem Int Ed 2008, 47(42):7996-8000.
4. Rajagopalan S., Robb R.A. Schwarz meets Schwann: design and fabrication of biomorphic and durataxic tissue engineering scaffolds. Med Image Anal 2006, 10(5):693-712.
5. Melchels F.P.W., Bertoldi K., Gabbielli R., Velders A.H., Feijen J. Mathematically defined tissue engineering scaffold architectures prepared by stereolithography. Biomaterials 2010, 31(27):6909-6916.
6. Melchels F.P.W., Barradas A.M.C., Blitterswijk C.A., Boer J., Feijen J. Effects of the architecture of tissue engineering scaffolds on cell seeding and culturing. Acta Biomater 2010, 6(11):4208-4217.
7. Yoo D.J. Computer-aided porous scaffold design for tissue engineering using triply periodic minimal surfaces. Int J Precis Eng Man 2011, 12(1):61-71.
8. Kapfer S.C., Hyde S.T., Mecke K., Arns C.H., Schroder-Turk G.E. Minimal surface scaffold designs for tissue engineering. Biomaterials 2011, 32(29):6875-6882.
9. Yoo D.J. Porous scaffold design using the distance field and triply periodic minimal surface models. Biomaterials 2011, 32(31):7741-7754.
10. Karageorgiou V., Kaplan D. Porosity of 3D biomaterial scaffolds and osteogenesis. Biomaterials 2005, 26(27):5474-5491.
11. Hutmacher D.W. Scaffolds in tissue engineering bone and cartilage. Biomaterials 2000, 21(24):2529-2543.
12. Hollister S.J. Porous scaffold design for tissue engineering. Nat Mater 2005, 4(7):518-524.
13. Willie B.M., Petersen A., Schmidt-Bleek K., Cipitria A., Mehta M., Strube P., et al. Designing biomimetic scaffolds for bone regeneration: why aim for a copy of mature tissue properties if nature uses a different approach?. Soft Matter 2010, 6(20):4976-4987.
14. Sarah H.C., Blaise D.P., Andrés J.G., Robert E.G. Effects of medium perfusion rate on cell-seeded three-dimensional bone constructs in vitro. Tissue Eng 2003, 9(6):1197-1203.
15. Weiss L.E., Amon C.H., Finger S., Miller E.D., Romero D., Verdinelli I., et al. Bayesian computer-aided experimental design of heterogeneous scaffolds for tissue engineering. Comput Aided Des 2005, 37(11):1127-1139.
16. Tabesh H., Amoabediny G., Nik N.S., Heydari M., Yosefifard M., Siadat S.O., et al. The role of biodegradable engineered scaffolds seeded with Schwann cells for spinal cord regeneration. Neurochem Int 2009, 54(2):73-83.
17. Hollister S.J., Maddox R.D., Taboas J.M. Optimal design and fabrication of scaffolds to mimic tissue properties and satisfy biological constraints. Biomaterials 2002, 23(20):4095-4103.
18. Fang Z., Starly B., Sun W. Computer-aided characterization for effective mechanical properties of porous tissue scaffolds. Comput Aided Des 2005, 37(1):65-72.
19. Lin C.Y., Kikuchi N., Hollister S.J. A novel method for biomaterial scaffold internal architecture design to match bone elastic properties with desired porosity. J Biomech 2004, 37(5):623-636.
20. Hollister S.J., Lin C.Y., Saito E., Schek R.D., Taboas J.M., Williams J.M., et al. Engineering craniofacial scaffolds. Orthod Craniofac Res 2005, 8(3):162-173.
21. Rezwan K., Chen Q.Z., Blacker J.J., Boccaccini A.R. Biodegradable and bioactive porous polymer/inorganic composite scaffolds for bone tissue engineering. Biomaterials 2006, 27(18):3413-3431.
22. Sun W., Starly B., Darling A., Gomez C. Computer-aided tissue engineering: application to biomimetic modelling and design of tissue scaffolds. Biotechnol Appl Biochem 2004, 39(1):49-58.
23. Karp J.M., Dalton P.D., Schoichet M.S. Scaffolds for tissue engineering. Cell Solid 2003, 28(4):301-306.
24. Sherwood J.K., Riley S.L., Palazzolo R., Brown S.C., Monkhouse D.C., et al. A three-dimensional osteochondral composite scaffold for articular cartilage repair. Biomaterials 2002, 23(24):4739-4751.
25. Woodfield T.B., Van Blitterswijk C.A., De Wijn J., Sims T.J., Hollander A.P., Riesle J. Polymer scaffolds fabricated with pore-size gradients as a model for studying the zonal organization within tissue-engineered cartilage constructs. Tissue Eng 2005, 11(9-10):1297-1311.
26. Das S., Hollister S.J., Flanagan C., Adewunmi A., et al. Freeform fabrication of Nylon-6 tissue engineering scaffolds. Rapid Prototyping J 2003, 9(1):43-49.
27. Holy C.E., Fialkov J.A., Davies J.E., Shoichet M.S. Use of a biomimetic strategy to engineer bone. J Biomed Mater Res A 2003, 65(4):447-453.
28. Engler A.J., Sen S., Sweeney H.L., Discher D.E. Matrix elasticity directs stem cell lineage specification. Cell 2006, 126(4):677-689.
29. Engelmayr G.C., Cheng M., Bettinger C.J., Borenstein J.T., Langer R., Freed L.E. Accordion-like honeycombs for tissue engineering of cardiac anisotropy. Nat Mater 2008, 7(12):1003-1010.
30. Park H., Larson B.L., Guillemette M.D., Jain S.R., Hua C., Engelmayr G.C., et al. The significance of pore microarchitecture in a multi-layered elastomeric scaffold for contractile cardiac muscle constructs. Biomaterials 2011, 32(7):1856-1864.
31. Harley B.A., Kim H.D., Zaman M.H., Yannas I.V., Lauffenburger D.A., Gibson L.J. Microarchitecture of three-dimensional scaffolds influences cell migration behavior via junction interactions. Biophys J 2008, 95(8):4013-4024.
32. Mikos A.G., Sarakinos G., Leite S.M., Vacanti J.P., Langer R. Laminated three-dimensional biodegradable foams for use in tissue engineering. Biomaterials 1993, 14(5):323-330.
33. Mooney D.J., Baldwin D.F., Suh N.P., Vacanti J.P., Langer R. Novel approach to fabricate porous sponges of poly(d,l-lactic-co-glycolic acid) without the use of organic solvents. Biomaterials 1996, 17(14):1417-1422.
34. Lo H., Ponticiello M.S., Leong K.W. Fabrication of controlled release biodegradable foams by phase separation. Tissue Eng 1995, 1(1):15-28.
35. Williams J.M., Adewunmi A., Schek R.M., Flanagan C.L., Krebsbach P.H., Feinberg S.E. Bone tissue engineering using polycaprolactone scaffolds fabricated via selective laser sintering. Biomaterials 2005, 26(23):4817-4827.
36. Hutmacher D.W., Schantz T., Zein I., Ng K.W., Teoh S.H., Tan K.C. Mechanical properties and cell cultural response of polycaprolactone scaffolds designed and fabricated via fused deposition modeling. J Biomed Mater Res 2001, 55(2):203-216.
37. Giordano R.A., Wu B.M., Borland S.W., Cima L.G., Sachs E.M., Cima M.J. Mechanical properties of dense polylactic acid structures fabricated by three dimensional printing. J Biomater Sci Polym E 1996, 8(1):63-75.
38. Cooke M.N., Fisher J.P., Dean D., Rimnac C., Mikos A.G. Use of stereolithography to manufacture critical-sized 3D biodegradable scaffolds for bone ingrowth. J Biomed Mater Res B: Appl Biomater 2003, 64(2):65-69.
39. Yoo D.J. General 3D offsetting of a triangular net using an implicit function and the distance fields. Int J Precis Eng Man 2009, 10(4):131-142.
40. Yoo D.J. Filling holes in large polygon models using an implicit surface scheme and the domain decomposition method. Int J Precis Eng Man 2007, 8(1):3-10.
41. Yoo D.J. Three-dimensional morphing of similar shapes using a template mesh. Int J Precis Eng Man 2009, 10(1):55-66.
42. Yoo D.J. Rapid surface reconstruction from a point cloud using the least-squares projection. Int J Precis Eng Man 2010, 11(2):273-283.
43. Yoo D.J., Kwon H.H. Shape reconstruction, shape manipulation, and direct generation of input data from point clouds for rapid prototyping. Int J Precis Eng Man 2009, 10(1):103-113.
44. Yoo D.J. Three-dimensional human body model reconstruction and manufacturing from CT medical image data using a heterogeneous implicit solid based approach. Int J Precis Eng Man 2011, 12(2):293-301.
45. Yoo D.J. Three-dimensional surface reconstruction of human bone using a B-spline based interpolation approach. Comput Aided Des 2011, 43(8):934-947.
46. Schroder G.E., Ramsden S.J., Christy A.G., Hyde S.T. Medial surfaces of hyperbolic structures. Eur Phys J B 2003, 35(4):551-564.
47. Torquato S., Hyun S., Donev A. Multifunctional composites: optimizing microstructures for simultaneous transport of heat and electricity. Phys Rev Lett 2002, 89(26):266601.
48. Fogden A., Hyde S.T. Continuous transformations of cubic minimal surfaces. Eur Phys J B 1999, 7(1):91-104.
49. Schroder G.E., Fogden A., Hyde S.T. Bicontinuous geometries and molecular self-assembly: comparison of local curvature and global packing variations in genus-three cubic, tetragonal and rhombohedral surfaces. Eur Phys J B 2006, 54(4):509-524.
50. Weyhaupt A.G. Deformations of the gyroid and lidinoid minimal surfaces. Pacific J Math 2008, 235(1):137-171.