Finite element analysis of Schwarz P surface pore geometries for tissue-engineered scaffolds

Mathematical Problems in Engineering

Volumn 2012, Issue , 2012, Pages

  Shin, Jaemin ^a   Kim, Sungki ^a   Jeong, Darae ^a   Lee, Hyun Geun ^a   Lee, Dongsun ^a   Lim, Joong Yeon ^b   Kim, Junseok ^a  

^a Korea University   (South Korea)

^b Dongguk University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

HIGH POROSITY; MECHANICAL SUPPORT; PHASE-FIELD MODELS; SURFACE PORES; SURFACE-TO-VOLUME RATIO; TISSUE ENGINEERING SCAFFOLD; TISSUE REGENERATION; TISSUE-ENGINEERED SCAFFOLDS; VON MISES STRESS;

BIOMECHANICS; FINITE ELEMENT METHOD; MECHANICAL PROPERTIES; TISSUE;

SCAFFOLDS (BIOLOGY);

EID: 84867941623     PISSN: 1024123X     EISSN: 15635147     Source Type: Journal    
DOI: 10.1155/2012/694194     Document Type: Article

References (17)

1. Cahill S., Lohfeld S., McHugh P. E., Finite element predictions compared to experimental results for the effective modulus of bone tissue engineering scaffolds fabricated by selective laser sintering. Journal of Materials Science 2009 20 6 1255 1262 2-s2.0-67349185857 10.1007/s10856-009-3693-5
2. Karande T. S., Ong J. L., Agrawal C. M., Diffusion in musculoskeletal tissue engineering scaffolds: design issues related to porosity, permeability, architecture, and nutrient mixing. Annals of Biomedical Engineering 2004 32 12 1728 1743 2-s2.0-12344282814 10.1007/s10439-004-7825-2 (Pubitemid 40121305)
3. Wilson C. E., De Bruijn J. D., Van Blitterswijk C. A., Verbout A. J., Dhert W. J. A., Design and fabrication of standardized hydroxyapatite scaffolds with a defined macro-architecture by rapid prototyping for bone-tissue- engineering research. Journal of Biomedical Materials ResearchPart A 2004 68 1 123 132 2-s2.0-0347596728 (Pubitemid 38030192)
4. 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. Journal of Biomedical Materials ResearchPart B 2003 64 2 65 69 2-s2.0-0141480550 (Pubitemid 37517140)
5. Rajagopalan S., Robb R. A., Schwarz meets Schwann: design and fabrication of biomorphic and durataxic tissue engineering scaffolds. Medical Image Analysis 2006 10 5 693 712 2-s2.0-33748622593 10.1016/j.media.2006.06.001 (Pubitemid 44375495)
6. Jung Y., Torquato S., Fluid permeabilities of triply periodic minimal surfaces. Physical Review E 2005 72 5 8 2-s2.0-28844461166 10.1103/PhysRevE.72. 056319 056319 (Pubitemid 41777828)
7. Zeltinger J., Sherwood J. K., Graham D. A., Müeller R., Griffith L. G., Effect of pore size and void fraction on cellular adhesion, proliferation, and matrix deposition. Tissue Engineering 2001 7 5 557 572 2-s2.0-0034765279 10.1089/107632701753213183 (Pubitemid 33032379)
8. Gomes M. E., Holtorf H. L., Reis R. L., Mikos A. G., Influence of the porosity of starch-based fiber mesh scaffolds on the proliferation and osteogenic differentiation of bone marrow stromal cells cultured in a flow perfusion bioreactor. Tissue Engineering 2006 12 4 801 809 2-s2.0-33646558911 10.1089/ten.2006.12.801 (Pubitemid 43726522)
9. Hutmacher D. W., Scaffolds in tissue engineering bone and cartilage. Biomaterials 2000 21 24 2529 2543 2-s2.0-0034672872 10.1016/S0142-9612(00)00121- 6
10. Burg K. J. L., Porter S., Kellam J. F., Biomaterial developments for bone tissue engineering. Biomaterials 2000 21 23 2347 2359 2-s2.0-0034580476 10.1016/S0142-9612(00)00102-2
11. Hollinger J., Factors for osseous repair and delivery. Part I. The Journal of craniofacial surgery 1993 4 2 102 108 2-s2.0-0027583414 10.1097/00001665-199304000-00010
12. Melchels F. P. W., Bertoldi K., Gabbrielli R., Velders A. H., Feijen J., Grijpma D. W., Mathematically defined tissue engineering scaffold architectures prepared by stereolithography. Biomaterials 2010 31 27 6909 6916 2-s2.0-77954382856 10.1016/j.biomaterials.2010.05.068
13. Gandy P. J. F., Bardhan S., Mackay A. L., Klinowski J., Nodal surface approximations to the P, G, D and I-WP triply periodic minimal surfaces. Chemical Physics Letters 2001 336 3-4 187 195 2-s2.0-0000905920 10.1016/S0009-2614(00)01418-4 (Pubitemid 33628088)
14. Yang S.-D., Lee H. G., Kim J., A phase-field approach for minimizing the area of triply periodic surfaces with volume constraint. Computer Physics Communications 2010 181 6 1037 1046 10.1016/j.cpc.2010.02.010 2644942 ZBL1216.65021
15. Burden R. L., Faires J. D., Numerical Analysis 2005 8th Grove, Calif, USA Thomson Brooks/Cole
16. HKS, Inc., ABAQUS/Standard User's Manual. Version 6.5, 2005
17. Olivares A. L., Marsal E., Planell J. A., Lacroix D., dlacroix@ibec.pcb.ub.es Finite element study of scaffold architecture design and culture conditions for tissue engineering. Biomaterials 2009 30 30 6142 6149 10.1016/j.biomaterials.2009.07.041