Computational design of tissue engineering scaffolds

Computer Methods in Applied Mechanics and Engineering

Volumn 196, Issue 31-32, 2007, Pages 2991-2998

  Hollister, Scott J ^a   Lin, Cheng Yu ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Effective property bounds; Homogenization theory; Scaffolds; Tissue engineering; Topology design

Indexed keywords

BIOMATERIALS; CELLS; IMAGING TECHNIQUES; MASS TRANSFER; OPTIMIZATION; STIFFNESS;

EFFECTIVE PROPERTY BOUNDS; HOMOGENIZATION THEORY;

TISSUE ENGINEERING;

BIOMATERIALS; CELLS; IMAGING TECHNIQUES; MASS TRANSFER; OPTIMIZATION; STIFFNESS; TISSUE ENGINEERING;

EID: 34248214562     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.09.023     Document Type: Article

References (23)

1. Langer R., and Vacanti J. Tissue engineering. Science 260 (1993) 920-926
2. Hollister S.J. Porous scaffold design for tissue engineering. Nat. Mater. 4 (2005) 518-524
3. Hutmacher D.W. Scaffold design and fabrication technologies for engineering tissues - start of the art and future perspectives. J. Biomater. Sci., Polym. Ed. 12 (2001) 107-124
4. Torquato S. Random Heterogenous Materials: Architecture and Material Properties (2002), Springer-Verlag, New York
5. Milton G.W. The Theory of Composites (2001), Cambridge University Press, Cambridge
6. Avellaneda M. Optimal bounds and microgeometries for elastic two-phase composites. SIAM J. Appl. Math. 47 (1987) 1216-1228
7. O. Sigmund, On the optimality of bone architecture, in: P. Pedersen, M.P. Bendsoe (Eds.), Synthesis in Biosolid Mechanics, 1999, pp. 221-234.
8. Hashin Z., and Shritkman S. A variational approach to the theory of the elastic behaviour of multiphase materials. J. Mech. Phys. Solids 11 (1963) 127-140
9. Sigmund O. Materials with prescribed constitutive parameters - an inverse homogenization problem. Int. J. Solids Struct. 31 (1994) 2329-2513
10. Hollister S.J., Maddox R.D., and Taboas J.M. Optimal design and fabrication of scaffolds to mimic tissue properties and satisfy biological constraints. Biomaterials 23 (2002) 4095-4103
11. Wettergreen M.A., Bucklen B.S., Sun W., and Liebschner M.A. Computer-aided tissue engineering of a human vertebral body. Ann. Biomed. Engrg. 10 (2005) 1333-1343
12. Sanchez-Palencia E. Non-homogeneous Media and Vibration Theory (1980), Springer-Verlag, Berlin
13. Hollister S.J., and Kikuchi N. Homogenization theory and digital imaging: a basis for studying the mechanics and design principles of bone tissue. Biotechnol. Bioengrg. 43 (1994) 586-596
14. Terada K., and Kikuchi N. Characterization of the mechanical behaviors of solid-fluid mixture by the homogenization method. Comput. Method Appl. Mech. Engrg. 153 (1998) 223-257
15. Terada K., Miura T., and Kikuchi N. Digital image-based modeling applied to the homogenization analysis of composite materials. Comput. Mech. 20 (1997) 331-346
16. Lin C.Y., Kikuchi N., and Hollister S.J. A novel method for biomaterial scaffold internal architecture design to match bone elastic properties with desired porosity. J. Biomech. 37 (2004) 623-636
17. Svanberg K. The method of moving asymptotes - a new method for structural optimization. Int. J. Numer. Methods Engrg. 24 (1987) 359-373
18. C.Y. Lin, PhD Dissertation, The University of Michigan, 2005.
19. Steven G.P., Li Q., and Xie Y.M. Evolutionary topology and shape design for general physical field problems. Comput. Mech. 26 (2000) 129-139
20. Bendsoe M.P., and Sigmund O. Topology Optimization: Theory, Methods and Applications (2003), Springer-Verlag
21. Guedes J.M., Rodrigues H.C., and Bendsoe M.P. A material optimization model to approximate energy bounds for cellular materials under multiload conditions. Struct. Multidisc. Optim. 25 (2003) 446-452
22. Diaz A.R., and Benard A. Designing materials with prescribed elastic properties using polygonal cells. Int. J. Numer. Meth. Engrg. 57 (2003) 301-314
23. Karande T.S., Ong J.L., and Agrawal C.M. Diffusion in musculoskeletal tissue engineering scaffolds: design issues related to porosity, permeability, architecture and nutrient mixing. Ann. Biomed. Engrg. 32 (2004) 1728-1743