Material identification technique for vascular tissue
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The goal of this work was to determine the elastic moduli for vascular segments. A rigorous constitutive law that captures the physics and physiology of the problem was adapted specifically for this purpose. The model describes the nonlinear, 3D behavior of an orthotropic, hyperelastic, compressible, thick-walled tube representing the mammalian vasculature. Solution of the resulting equilibrium equations required the development, validation and implementation of a nonlinear finite element (FE) routine. Experimental data was obtained from ex-vivo measurements made on canine and rabbit vascular segments. By coupling the FE program to the experimental data, a set of elastic moduli was obtained for which the sum of squares difference between the experimentally measured and model-predicted radial displacements was minimized. This `material identification' method is also applicable to human vessels in health and disease (e.g., atherosclerosis, hypertension).
