Abstract
The material properties of biological materials, often derived from experiments, are found to vary by orders of magnitude. This disparity in experimentally-derived mechanical properties can be understood only by mathematical models that correlate the structural constituents to its mechanical response. New mechano-biological computational models that consider the effect of microstructural constituents on the response of biological materials are considered in this paper. Various mathematical models are presented to study the macroscopic effects, such as deformation and diffusion in tissues, using multi-scale computational models. The implementation of the computational models for the determination of mechanical behaviour in pathological conditions like cancer progression, cardiovascular diseases, and gynaecological conditions are discussed. The significance of this work lies in the use of a multi-physical modelling of the complex material geometry as well as physical processes representing physiological systems, thereby establishing a suitable and efficient multi-scale computational framework.
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Acknowledgments
The research reported herein was supported by the Oscar S. Wyatt Endowed Chair account at Texas A&M University, College Station.
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Unnikrishnan, V.U., Unnikrishnan, G.U., Reddy, J.N. (2010). Multiscale Computational Analysis of Biomechanical Systems. In: Dattaguru, B., Gopalakrishnan, S., Aatre, V. (eds) IUTAM Symposium on Multi-Functional Material Structures and Systems. IUTAM Bookseries (closed), vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3771-8_13
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DOI: https://doi.org/10.1007/978-90-481-3771-8_13
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