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Arterial Growth and Remodeling - 3D Approach

Growth and remodeling (G&R) of arteries can be described via the turnover of different constituents possessing different natural configurations and mechanical properties and exhibiting different rates of turnover that can change with mechanical stimuli [1]. Thus, in addition to complex instantaneous nonlinear mechanical behaviors, time varying changes in composition resulting from mass turnover are important determinants of arterial biomechanics. We developed model restricted to elastostatics but capable of describing 3D behaviours of arteries. Only structurally significant constituents are modeled, elastin, collagen (4-fibre family) and smooth muscle cells. Each constituent has its own natural configuration, generally different from others, which is taken as a possibly evolving stress free reference configuration. Deformations and G&R of a constrained mixture of all constituents are tracked within the current mixture configuration. The model is capable of describing evolving residual stresses, revealed in a reference mixture configuration through the classical opening angle. Using a cylindrical geometry (carotid artery), key features of the developed model are examined prior to implementation in finite element models.

artery; growth and remodeling; collagen; elastin

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