A Finite Element-based Constrained Mixture Implementation for Arterial Growth, Remodeling, and Adaptation: Theory and Numerical Verification

Overview

Journal Int J Numer Method Biomed Eng

Publisher Wiley

Specialties Biomedical Engineering
Public Health

Date 2013 May 29

PMID 23713058

Citations 35

Authors

A Valentin

J D Humphrey

G A Holzapfel

Affiliations

Soon will be listed here.

Abstract

We implemented a constrained mixture model of arterial growth and remodeling in a nonlinear finite element framework to facilitate numerical analyses of diverse cases of arterial adaptation and maladaptation, including disease progression, resulting in complex evolving geometries and compositions. This model enables hypothesis testing by predicting consequences of postulated characteristics of cell and matrix turnover, including evolving quantities and orientations of fibrillar constituents and nonhomogenous degradation of elastin or loss of smooth muscle function. The nonlinear finite element formulation is general within the context of arterial mechanics, but we restricted our present numerical verification to cylindrical geometries to allow comparisons with prior results for two special cases: uniform transmural changes in mass and differential growth and remodeling within a two-layered cylindrical model of the human aorta. The present finite element model recovers the results of these simplified semi-inverse analyses with good agreement.

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