Biomechanics of Vascular Wall : the Role of Structural Organization of Elastin and Collagen

This thesis contributes to the field of biomechanics of vascular wall. The focus is particularly on the microstructure of vascular elastin and collagen constituents and their contribution to the macroscopic mechanical behavior of the wall. The analysis is done in the framework of continuum mechanics. The work characterizes structural features of elastin and collagen fibers using microscopy techniques and introduces these features to constituent-based constitutive models. The models are applied to the experimental data, derived from inflation-extension tests, to predict the gross mechanical behavior of the tissue. The developed constitutive models could be further used to study in detail the mechanics of vascular tissue in health and disease. The thesis is presented in form of an introduction, four chapters (corresponding to four papers) and a conclusion. The introduction provides the motivation for this thesis as well as the background on vascular wall structure and mechanics. A brief description of the imaging techniques used is presented. Also, structural constitutive modeling of vascular wall is briefly discussed with particular attention to the modeling of elastin and collagen constituents. The first paper focuses on anisotropic properties of elastin in veins. We show that earlier constituent-based strain energy functions (SEFs), where elastin is modeled as an isotropic material, fail in describing accurately the tissue response to inflation-extension loading. We hypothesize that these shortcomings are partly due to unaccounted anisotropic properties of elastin. We extend the previously developed biomechanical model in our laboratory (Zulliger et al., 2004, J. Biomech., 37(7): 989-1000 (2004)) to account for elastin anisotropy and present an anisotropic strain energy function for elastin with one family of fibers in the longitudinal direction. The model is validated using experimental data from inflation-extension tests on rabbit facial veins. The tissue is tested under a fully relaxed smooth muscle state, for longitudinal stretch ratios ranging from 100% to 130% of the in vivo length. The model with the anisotropic elastin fits well the data for a wide range of longitudinal stretch ratios. The main finding of this paper is that the anisotropic description of elastin is required for a full 3-D characterization of the biomechanics of the venous wall. The second paper addresses the role of elastin in anisotropic properties of arteries with particular attention to the structural organization of elastin. A constituent-based model including an anisotropic elastin, with one family of fibers in the circumferential direction, is presented. Micro-structural imaging, based on electron microscopy techniques, is used to support this anisotropy. Inflationˆextension tests, on intact and elastase-treated arteries, provide a data set to validate the model and to study the effect of elastin removal. We show that the SEF, with an anisotropic elastin part, char