Advances on Modeling in Tissue Engineering by Christopher R. Jacobs, Daniel J. Kelly (auth.), Paulo R.

By Christopher R. Jacobs, Daniel J. Kelly (auth.), Paulo R. Fernandes, Paulo Jorge Bártolo (eds.)

This booklet provides a suite of chapters describing the state-of-the-art on computational modelling and fabrication in tissue engineering.

Tissue Engineering is a multidisciplinary box concerning scientists from assorted fields. the advance of mathematical tools is kind of proper to appreciate phone biology and human tissues besides to version, layout and fabricate optimized and clever scaffolds.

The bankruptcy authors are the prestigious keynote audio system on the first Eccomas thematic convention on Tissue Engineering the place the emphasis was once on mathematical and computational modeling for scaffold layout and fabrication. this actual quarter of tissue engineering, whose target is to acquire substitutes for tough tissues similar to bone and cartilage, is turning out to be in significance.

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Guedes J, Kikuchi N, (1990) Preprocessing and postprocessing for materials based on the homogenisation method with adaptive finite element method. Comput Meth Appl Mech Eng 83:143-198. 19. Rodrigues H, Guedes J, Bendsøe M (2002) Hierarchical optimisation of material and structure. Int J Struct Multidisc Optim 24:1-10. 20. Bendsøe MP, Sigmund O, (2003) Topology optimization theory, methods and applications. Springer, Berlin Heidelberg New York. 21. Martin RB, Burr DB, Sharkey NA (1998) Skeletal Tissue Mechanics.

Average Neo-Hookean fit results for solid an porous scaffold POC demonstrate decreased stiffness and nonlinearity with increasing porosity from Solid POC (red) to 62% porous cylindrical pore design scaffold (cyan). It is interesting that introducing porosity into a material whose base (solid) properties are nonlinear elastic decreases not only the stiffness, as one sees with a linear elastic material, but also dramatically decreases the degree of nonlinearity. This is likely due to the loss of material in the pores that decreases the amount of stiffening with deformation.

Fernandes References 1. Pompe W, Worch H, Epple M, Friess W, Gelinsky M, Greil P, Hempel U, Scharnweber D, Schulte K (2003), Functionally graded materials for biomedical applications, Mat Sci Eng A362:40-60. 2. Lin CY, Kikuchi N and Hollister SJ (2004) A novel method for biomaterial scaffold internal architecture design to match bone elastic properties with desired porosity. J Biomech, 37:623-636. 3. Wolff J, (1986) The law of bone remodeling (Das Gesetz der Transformation der Knochen, Hirschwald, 1892).

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