Computational Methods for the Predictive Design of Bone Tissue Engineering Scaffolds
- 387 Downloads
The design of bone tissue engineering materials and scaffold structures made thereof is a delicate task, owing to the various, sometimes contradicting requirements that must be fulfilled. The traditional approach is based on a trial-and-error strategy, which may result in a lengthy and inefficient process. Aiming at improvement of this unsatisfactory situation, computer simulations, based on sound mathematical modeling of the involved processes, have been identified as promising complement to experimental testing. After giving a brief overview of available modeling and simulation concepts, the core of this chapter is presented, namely recent examples of multiscale, continuum micromechanics-based homogenization approaches developed in relation to bone tissue engineering. First, the fundamentals of continuum micromechanics are introduced, in order to lay the groundwork for the subsequently elaborated stiffness and strength homogenization approach related to a hydroxyapatite-based granular bone tissue engineering material. For the latter, the derivation of an upscaling scheme allowing for estimating the macroscopic stiffness and the macroscopic strength is demonstrated. Finally, avenues to utilization of this method in the design process of such materials are pointed out.
KeywordsBone Tissue Engineering Scaffold Continuum Micromechanics Multi-scale Modeling Hydroxyapatite-based Biomaterials Conglomerate Material
In the context of the research presented in Sect. 3.3 of this chapter, the partial financial support by the European Research Council (ERC), in the framework of the project Multiscale poromicromechanics of bone materials, with links to biology and medicine (project number FP7-257023), as well as the partial financial support by the Russian Science Foundation (grant number 15-13-00108), are gratefully acknowledged. Furthermore, COST-action MP1005, NAMABIO – From nano to macro biomaterials (design, processing, characterization, modeling) and applications to stem cells regenerative orthopedic and dental medicine has provided means for a sustainable collaboration over several years.
- Dormieux L, Lemarchand E, Kondo D, Fairbairn E (2004) Elements of poromicromechanics applied to concrete. Mater Struct/Concr Sci Eng 37(265):31–42Google Scholar
- Hellmich C, Ulm F-J, Dormieux L (2004) Can the diverse elastic properties of trabecular and cortical bone be attributed to only a few tissue-independent phase properties and their interactions? - arguments from a multiscale approach. Biomech Model Mechanobiol 2(4):219–238CrossRefPubMedGoogle Scholar
- Jaecques SVN, Van Oosterwyck H, Muraru L, Van Cleynenbreugel T, De Smet E, Wevers M, Naert I, Vander Sloten J (2004) Individualised, micro CT-based finite element modelling as a tool for biomechanical analysis related to tissue engineering of bone. Biomaterials 25(9):1683–1696CrossRefPubMedGoogle Scholar
- Katz JL, Ukraincik K (1971) On the anisotropic elastic properties of bone. Calcif Tissue Int 4(3):221–227Google Scholar
- Luczynski K, Dejaco A, Lahayne O, Jaroszewicz J, Swieszkowski W, Hellmich C (2012) MicroCT/micromechanics-based finite element models and quasi-static unloading tests deliver consistent values for Young’s modulus of rapid-prototyped polymer-ceramic tissue engineering scaffold. CMES – Comput Model Eng Sci 87(6):505–529Google Scholar
- Pastrama MI, Scheiner S, Pivonka P, Hellmich C (2018) A mathematical multiscale model of bone remodeling, accounting for pore space-specific mechanosensation. Bone 107: 208–221Google Scholar
- Scheiner S, Komlev VS, Gurin AN, Hellmich C (2016a) Multiscale mathematical modeling in dental tissue engineering: towards computer-aided design of a regenerative system based on hydroxyapatite granules, focusing on early and mid-term stiffness recovery. Front Physiol 7(383):1–18Google Scholar
- van Gaalen S, Kruyt M, Meijer G, Mistry A, Mikos A, van den Beucken J, Jansen J, de Groot K, Cancedda R, Olivo C, Yaszemski M, Dhert W (2008) Chapter 19. Tissue engineering of bone. In: Van Blitterswijk C, Thomsen P, Lindahl A, Hubbell J, Williams DF, Cancedda R, de Bruijn JD, Sohier J (eds) Tissue Engineering. Academic, Burlington, pp 559–610CrossRefGoogle Scholar