Page 82 - Advances in Biomechanics and Tissue Regeneration

REFERENCES 77

presents viscous and damage behavior and with a significant dispersion in the orientation, which has a significant
influence on the mechanical response. The high complexity of biological tissues requires mechanical models that
include information about the underlying constituents and that look for the physics of the whole processes within
the material. This behavior of the microconstituents can be taken into macroscopic models by means of computational
homogenization. It is in this context where the microsphere-based approach acquires high relevance. Regarding the
parameter estimation analysis, the larger the number of parameters, the more flexible and the better fitting (i.e., con-
cerning the residual error) is reached, as could be expected. However, too many parameters not only increase the com-
plexity of the model [47], but also increment the disadvantages of ill-posed problems. In this regard, we agree that the
main goal in constitutive models should be to include physically motivated aspects and, as much as possible, to feed
these models with experimental data obtained from histological analysis, polarized light microscopy [46], or other
quantitative experimental techniques [48].

Acknowledgments
The authors gratefully acknowledge research support from the Spanish Ministry of Science and Technology through research project DPI2016-
76630-C2-1-R and CIBER initiative. Part of the work was performed by the ICTS “NANBIOSIS” specifically by the Tissue and Scaffold Character-
ization Unit (U13) and High Performance Computing Unit (U27), of the CIBER in Bioengineering, Biomaterials and Nanomedicine (CIBER-BBN at
the University of Zaragoza).

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I. BIOMECHANICS