A Multiscale Triphasic Biomechanical Model for Tumors’ Classification
The aim of this paper is to formulate a novel mathematical model that will be able to differentiate not only between normal and abnormal tissues, but, more importantly, between benign and malignant tumors. We present some very promising preliminary results of a multiscale triphasic model for biological tissues that couple the electro-chemical processes that take place in tissue’s microstructure and tissue’s biomechanics. The multiscaling is based on a recently developed homogenization technique for materials with evolving microstructure.
KeywordsPermeability Hydrated Convection Nite Incompressibility
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- 1.F. A. Duck, Physical Properties of Tissues- A Comprehensive Reference Book, 6th edition, Sheffield, UK: Academic, 1990.Google Scholar
- 2.Y.C. Fung, Biomechanics - Mechanical Properties of Living Tissues, 2nd edition, Springer, New York, 1993.Google Scholar
- 5.R. Muthupillai, P.J Rossman, D.J. Lomas, J.F. Greenleaf, S.J. Riederer and R.L. Ehman, Magnetic resonance imaging of transverse acoustic strain waves, Magn. Reson. Med. 36, 266–274, 1996.Google Scholar
- 7.M.A. Peter, Homogenization in domains with evolving microstructure, C.R. Mechanique 335, 357–362, 2007.Google Scholar
- 8.M.A. Peter, Homogenization of a chemical degradation mechanism inducing an evolving microstructure, C.R. Mecanique, 335, 679–684, 2007.Google Scholar
- 10.B. Alberts, A. Johnston, J. Lewis, M. Raff, K. Roberts, P. Walter, Molecular Biology of the Cell, 5th Ed, 2007.Google Scholar
- 11.C.S. Drapaca, A.J. Palocaren, Biomechanical modeling of tumor classification and growth, Rev.Roum.Sci.Tech.- Mec.Appl., 55(2), 115–124, 2010.Google Scholar