Numerical optimization of open-porous bone scaffold structures to match the elastic properties of human cortical bone

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 37, Issue , 2014, Pages 56-68

  Wieding, Jan ^a   Wolf, Andreas ^a   Bader, Rainer ^a  

^a ROSTOCK UNIVERSITY MEDICAL CENTER   (Germany)

Author keywords

Biomechanical loading; Design variations; Femoral bone; Open porous scaffolds; Optimization; Pore size; Strut thickness

Indexed keywords

BIOMECHANICS; BONE; DEFECTS; ELASTICITY; OPTIMIZATION; PORE SIZE; SHAPE OPTIMIZATION; STRUTS; TITANIUM; TORSIONAL STRESS;

ADDITIVE MANUFACTURING PROCESS; BIOMECHANICAL LOADING; BIOMECHANICAL PERFORMANCE; BIOMECHANICAL STABILITY; DESIGN VARIATIONS; NUMERICAL OPTIMIZATIONS; STRUT THICKNESS; UNI-AXIAL COMPRESSION;

STRUCTURAL DESIGN;

ELEMENT; TITANIUM;

ARTICLE; BENDING; BIOMECHANICS; BONE GROWTH; BONE IMPLANT; BONE REGENERATION; BONE STRUCTURE; CELL SIZE; COMPRESSION; CORTICAL BONE; DENSITY; HUMAN; HUMAN EXPERIMENT; MUSCLE STRENGTH; NORMAL HUMAN; OPEN POROUS BONE SCAFFOLD; OSTEOSYNTHESIS; POROSITY; PRIORITY JOURNAL; PROCESS OPTIMIZATION; QUANTITATIVE STUDY; SENSITIVITY ANALYSIS; TORSION; YOUNG MODULUS; BIOMIMETICS; ELASTICITY; FEMUR; PHYSIOLOGY; PROCEDURES; TISSUE SCAFFOLD; WEIGHT BEARING;

BIOMECHANICAL PHENOMENA; BIOMIMETICS; ELASTICITY; FEMUR; HUMANS; POROSITY; TISSUE SCAFFOLDS; WEIGHT-BEARING;

EID: 84901626883     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2014.05.002     Document Type: Article

References (62)

1. Adachi T., Osako Y., Tanaka M., Hojo M., Hollister S.J. Framework for optimal design of porous scaffold microstructure by computational simulation of bone regeneration. Biomaterials 2006, 27(21):3964-3972.
2. Almeida H.D., Bartolo P.J.D. Virtual topological optimisation of scaffolds for rapid prototyping. Med. Eng. Phys. 2010, 32(7):775-782.
3. Attias N., Lindsey R.W. Case reports: management of large segmental tibial defects using a cylindrical mesh cage. Clin. Orthop. Relat. Res. 2006, 450:259-266.
4. Bandyopadhyay A., Krishna B.V., Xue W., Bose S. Application of laser engineered net shaping (LENS) to manufacture porous and functionally graded structures for load bearing implants. J. Mater. Sci. Mater. Med. 2009, 20(Suppl. 1):S29-S34.
5. Bitsakos C., Kerner J., Fisher I., Amis A.A. The effect of muscle loading on the simulation of bone remodelling in the proximal femur. J. Biomech. 2005, 38(1):133-139.
6. Boccaccio A., Ballini A., Pappalettere C., Tullo D., Cantore S., Desiate A. Finite element method (FEM), mechanobiology and biomimetic scaffolds in bone tissue engineering. Int. J. Biol. Sci. 2011, 7(1):112-132.
7. Challis V.J., Roberts A.P., Grotowski J.F., Zhang L.C., Sercombe T.B. Prototypes for bone implant scaffolds designed via topology optimization and manufactured by solid freeform fabrication. Adv.Eng. Mater. 2010, 12(11):1106-1110.
8. Chan K.S., Liang W., Francis W.L., Nicolella D.P. A multiscale modeling approach to scaffold design and property prediction. J. Mech. Behav. Biomed. Mater. 2010, 3(8):584-593.
9. Cheah C.M., Chua C.K., Leong K.F., Cheong C.H., Naing M.W. Automatic algorithm for generating complex polyhedral scaffold structures for tissue engineering. Tissue Eng. 2004, 10(3-4):595-610.
10. Chua C.K., Leong K.F., Cheah C.M., Chua S.W. Development of a tissue engineering scaffold structure library for rapid prototyping. Part 1: investigation and classification. Int. J. Adv. Manuf. Technol. 2003, 21(4):291-301.
11. Chua C.K., Leong K.F., Cheah C.M., Chua S.W. Development of a tissue engineering scaffold structure library for rapid prototyping. Part 2: parametric library and assembly program. Int. J. Adv. Manuf. Technol. 2003, 21(4):302-312.
12. Desai R.R., Malkani A.L., Hitt K.D., Jaffe F.F., Schurman J.R., Shen J. Revision total hip arthroplasty using a modular femoral implant in Paprosky type III and IV femoral bone loss. J. Arthroplast. 2012, 27(8):1492-1498.
13. Donachie M. Biomedical alloys. Adv. Mater. Process. 1998, 154(1):63-65.
14. Down G.M. Use of titanium as an implant material. Eng. Med. 1973, 2(3):58-59. and 63.
15. Emmelmann C., Scheinemann P., Munsch M., Seyda V. Laser additive manufacturing of modified implant surfaces with osseointegrative characteristics. Physics Procedia 2011, 12(part 1):375-384.
16. Emmelmann C., Scheinemann P., Munsch M., Seyda V. 2011. Laser additive manufacturing of modified implant surfaces with osseointegrative characteristics. In: Proceedings of the 6th International WLT Conference on Lasers in Manufacturing (LiM), Munich.
17. Engh C.A., O'Connor D., Jasty M., McGovern T.F., Bobyn J.D., Harris W.H. Quantification of implant micromotion, strain shielding, and bone resorption with porous-coated anatomic medullary locking femoral prostheses. Clin. Orthop. Relat. Res. 1992, 285:13-29.
18. Harrysson O.L.A., CansiZoglu O., Marcellin-Little D.J., Cormier D.R., West H.A. Direct metal fabrication of titanium implants with tailored materials and mechanical properties using electron beam melting technology. Mater. Sci. Eng. C: Biomim. Supramol. Syst. 2008, 28(3):366-373.
19. Heller M.O., Bergmann G., Kassi J.P., Claes L., Haas N.P., Duda G.N. Determination of muscle loading at the hip joint for use in pre-clinical testing. J. Biomech. 2005, 38(5):1155-1163.
20. Hollander D.A., von W.M., Wirtz T., Sellei R., Schmidt-Rohlfing B., Paar O., Erli H.J. Structural, mechanical and in vitro characterization of individually structured Ti-6Al-4V produced by direct laser forming. Biomaterials 2006, 27(7):955-963.
21. 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.
22. Holy C.E., Shoichet M.S., Davies J.E. Engineering three-dimensional bone tissue in vitro using biodegradable scaffolds: investigating initial cell-seeding density and culture period. J. Biomed. Mater. Res. 2000, 51(3):376-382.
23. Huiskes R., Weinans H., van R.B. The relationship between stress shielding and bone resorption around total hip stems and the effects of flexible materials. Clin. Orthop. Relat. Res. 1992, 274:124-134.
24. Itala A.I., Ylanen H.O., Ekholm C., Karlsson K.H., Aro H.T. Pore diameter of more than 100μm is not requisite for bone ingrowth in rabbits. J. Biomed. Mater. Res. 2001, 58(6):679-683.
25. 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.
26. Karageorgiou V., Kaplan D. Porosity of 3D biomaterial scaffolds and osteogenesis. Biomaterials 2005, 26(27):5474-5491.
27. Kienapfel H., Sprey C., Wilke A., Griss P. Implant fixation by bone ingrowth. J. Arthroplast. 1999, 14(3):355-368.
28. Kluess D., Souffrant R., Mittelmeier W., Wree A., Schmitz K.P., Bader R. A convenient approach for finite-element-analyses of orthopaedic implants in bone contact: modeling and experimental validation. Comput. Methods Progr. Biomed. 2009, 95(1):23-30.
29. Koike M., Greer P., Owen K., Lilly G., Murr L.E., Gaytan S.M., et al. Evaluation of titanium alloys fabricated using rapid prototyping technologies- electron beam melting and laser beam melting. Materials 2011, 4(10):1776-1792.
30. Kuiper J.H., Huiskes R. Mathematical optimization of elastic properties: application to cementless hip stem design. J. Biomech. Eng. 1997, 119(2):166-174.
31. Li J.P., Habibovic P., van den Doel M., Wilson C.E., de Wijn J.R., van Blitterswijk C.A., de G.K. Bone ingrowth in porous titanium implants produced by 3D fiber deposition. Biomaterials 2007, 28(18):2810-2820.
32. 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.
33. Long M., Rack H.J. Titanium alloys in total joint replacement-a materials science perspective. Biomaterials 1998, 19(18):1621-1639.
34. Lopez-Heredia M.A., Goyenvalle E., Aguado E., Pilet P., Leroux C., Dorget M., et al. Bone growth in rapid prototyped porous titanium implants. J. Biomed. Mater. Res. A 2008, 85(3):664-673.
35. Luxner M.H., Stampfl J., Pettermann H.E. Finite element modeling concepts and linear analyses of 3D regular open cell structures. J. Mater. Sci. 2005, 40(22):5859-5866.
36. Mavrogenis A.F., Sakellariou V.I., Tsibidakis H., Papagelopoulos P.J. Adamantinoma of the tibia treated with a new intramedullary diaphyseal segmental defect implant. J. Int. Med. Res. 2009, 37(4):1238-1245.
37. Merle C., Streit M.R., Volz C., Pritsch M., Gotterbarm T., Aldinger P.R. Bone remodeling around stable uncemented titanium stems during the second decade after total hip arthroplasty: a DXA study at 12 and 17 years. Osteoporos. Int. 2011, 22(11):2879-2886.
38. Mueller U., Imwinkelried T., Horst M., Sievers M., Graf-Hausner U. Do human osteoblasts grow into open-porous titanium?. Eur. Cell Mater. 2006, 11:8-15.
39. Murphy C.M., Haugh M.G., O'Brien F.J. The effect of mean pore size on cell attachment, proliferation and migration in collagen-glycosaminoglycan scaffolds for bone tissue engineering. Biomaterials 2010, 31(3):461-466.
40. Murr L.E., Quinones S.A., Gaytan S.M., Lopez M.I., Rodela A., Martinez E.Y., et al. Microstructure and mechanical behavior of Ti-6Al-4V produced by rapid-layer manufacturing, for biomedical applications. J. Mech. Behav. Biomed. Mater. 2009, 2(1):20-32.
41. Murr L.E., Gaytan S.M., Medina F., Lopez H., Martinez E., Machado B.I., et al. Next-generation biomedical implants using additive manufacturing of complex, cellular and functional mesh arrays. Philos. Trans. Math. Phys. Eng. Sci. 2010, 368(1917):1999-2032.
42. Niinomi M. Mechanical biocompatibilities of titanium alloys for biomedical applications. J. Mech. Behav. Biomed. Mater. 2008, 1(1):30-42.
43. Niinomi M., Nakai M. Titanium-based biomaterials for preventing stress shielding between implant devices and bone. Int. J. Biomater. 2011, 2011:836587.
44. Ohman C., Baleani M., Pani C., Taddei F., Alberghini M., Viceconti M., Manfrini M. Compressive behaviour of child and adult cortical bone. Bone 2011, 49(4):769-776.
45. Olivares A.L., Marsal E., Planell J.A., Lacroix D. Finite element study of scaffold architecture design and culture conditions for tissue engineering. Biomaterials 2009, 30(30):6142-6149.
46. Parthasarathy J., Starly B., Raman S., Christensen A. Mechanical evaluation of porous titanium (Ti6Al4V) structures with electron beam melting (EBM). J. Mech. Behav. Biomed. Mater. 2010, 3(3):249-259.
47. Ponader S., von W.C., Widenmayer M., Lutz R., Heinl P., Koerner C., et al. In vivo performance of selective electron beam-melted Ti-6Al-4V structures. J. Biomed. Mater. Res. A 2010, 92(1):56-62.
48. Ryan G., McGarry P., Pandit A., Apatsidis D. Analysis of the mechanical behavior of a titanium scaffold with a repeating unit-cell substructure. J. Biomed. Mater. Res. B: Appl. Biomater. 2009, 90(2):894-906.
49. Ryan G.E., Pandit A.S., Apatsidis D.P. Porous titanium scaffolds fabricated using a rapid prototyping and powder metallurgy technique. Biomaterials 2008, 29(27):3625-3635.
50. Salgado A.J., Coutinho O.P., Reis R.L. Bone tissue engineering: state of the art and future trends. Macromol. Biosci. 2004, 4(8):743-765.
51. Sanz-Herrera J.A., Doblare M., Garcia-Aznar J.M. Scaffold microarchitecture determines internal bone directional growth structure: a numerical study. J. Biomech. 2010, 43(13):2480-2486.
52. Schwerdtfeger J., Heinl P., Singer R.F., Koerner C. Auxetic cellular structures through selective electron-beam melting. Phys. Status Solidi B-Basic Solid State Phys. 2010, 247(2):269-272.
53. Senkov O.N., Dubois M., Jonas J.J. Elastic moduli of titanium-hydrogen alloys in the temperature range 20°C to 1100°C. Metall. Mater. Trans. A-Phys. Metall. Mater. Sci. 1996, 27(12):3963-3970.
54. Suansuwan N., Swain M.V. Determination of elastic properties of metal alloys and dental porcelains. J. Oral Rehabil. 2001, 28(2):133-139.
55. Wettergreen M.A., Bucklen B.S., Sun W., Liebschner M.A. Computer-aided tissue engineering of a human vertebral body. Ann. Biomed. Eng. 2005, 33(10):1333-1343.
56. Wieding J., Jonitz A., Bader R. The effect of structural design on mechanical properties and cellular response of additive manufactured titanium scaffolds. Materials 2012, 5(8):1336-1347.
57. Wieding J., Souffrant R., Fritsche A., Mittelmeier W., Bader R. Finite element analysis of osteosynthesis screw fixation in the bone stock: an appropriate method for automatic screw modelling. PLOS One 2012, 7(3):e33776.
58. Wieding J., Souffrant R., Mittelmeier W., Bader R. Finite element analysis on the biomechanical stability of open porous titanium scaffolds for large segmental bone defects under physiological load conditions. Med. Eng. Phys. 2013, 35(4):422-432.
59. Wieding J., Fritsche A., Heinl P., Korner C., Cornelsen M., Seitz H., et al. Biomechanical behavior of bone scaffolds made of additive manufactured tricalciumphosphate and titanium under different loading conditions. J. Appl. Biomater. Funct. Mater. 2013, 0.
60. Yan W.Y., Berthe J., Wen C. Numerical investigation of the effect of porous titanium femoral prosthesis on bone remodeling. Mater. Des. 2011, 32(4):1776-1782.
61. Yang S., Leong K.F., Du Z., Chua C.K. The design of scaffolds for use in tissue engineering. Part I. Traditional factors. Tissue Eng. 2001, 7(6):679-689.
62. van der Stok J., Wang H., Amin Y.S., Siebelt M., Sandker M., Waarsing J.H., et al. Enhanced bone regeneration of cortical segmental bone defects using porous titanium scaffolds incorporated with colloidal gelatin gels for time- and dose-controlled delivery of dual growth factors. Tissue Eng. Part A 2013.