Computational design of tissue engineering scaffolds

Tissue engineering utilizes porous biomaterial scaffolds to deliver biological factors that accelerate tissue healing. These two functions require scaffolds be designed for mechanical loading and mass transport. The purpose of this paper was to apply both ad hoc and topology optimization homogenization based design approaches to create scaffold architectures, and to determine how these architectures compare to theoretical bounds on effective stiffness. Open cell scaffold architectures demonstrated a wide range of permeability, but were all below isotropic effective stiffness bounds. Wavy fiber architectures provide a means to approach the lower bounds. Using image-based techniques, designed architectures may be incorporated in anatomic shapes.

[1]  G. Milton The Theory of Composites , 2002 .

[2]  O. Sigmund Materials with prescribed constitutive parameters: An inverse homogenization problem , 1994 .

[3]  N. Kikuchi,et al.  Homogenization theory and digital imaging: A basis for studying the mechanics and design principles of bone tissue , 1994, Biotechnology and bioengineering.

[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]  E. Sanchez-Palencia Non-Homogeneous Media and Vibration Theory , 1980 .

[6]  J. Vacanti,et al.  Tissue engineering : Frontiers in biotechnology , 1993 .

[7]  Noboru Kikuchi,et al.  Characterization of the mechanical behaviors of solid-fluid mixture by the homogenization method , 1998 .

[8]  M. A. Wettergreen,et al.  Computer-Aided Tissue Engineering of a Human Vertebral Body , 2005, Annals of Biomedical Engineering.

[9]  J. Vacanti,et al.  Tissue engineering. , 1993, Science.

[10]  Alejandro R. Diaz,et al.  Designing materials with prescribed elastic properties using polygonal cells , 2003 .

[11]  Qing Li,et al.  Evolutionary topology and shape design for general physical field problems , 2000 .

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

[13]  Dietmar W. Hutmacher,et al.  Scaffold design and fabrication technologies for engineering tissues — state of the art and future perspectives , 2001, Journal of biomaterials science. Polymer edition.

[14]  K. Svanberg The method of moving asymptotes—a new method for structural optimization , 1987 .

[15]  Marco Avellaneda,et al.  Optimal bounds and microgeometries for elastic two-phase composites , 1987 .

[16]  H. C. Rodrigues,et al.  A material optimization model to approximate energy bounds for cellular materials under multiload conditions , 2003 .

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

[18]  S. Torquato Random Heterogeneous Materials , 2002 .

[19]  Noboru Kikuchi,et al.  Digital image-based modeling applied to the homogenization analysis of composite materials , 1997 .

[20]  S. Shtrikman,et al.  A variational approach to the theory of the elastic behaviour of multiphase materials , 1963 .

[21]  Joo L. Ong,et al.  Diffusion in Musculoskeletal Tissue Engineering Scaffolds: Design Issues Related to Porosity, Permeability, Architecture, and Nutrient Mixing , 2004, Annals of Biomedical Engineering.