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A finite element-based constrained mixture implementation for arterial growth, remodeling, and adaptation: Theory and numerical verification
KTH, School of Engineering Sciences (SCI), Solid Mechanics (Dept.).
2013 (English)In: International Journal for Numerical Methods in Biomedical Engineering, ISSN 2040-7939, Vol. 29, no 8, 822-849 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2013. Vol. 29, no 8, 822-849 p.
Keyword [en]
artery, stress, adaptation, mechanics
National Category
Bioinformatics (Computational Biology)
URN: urn:nbn:se:kth:diva-127484DOI: 10.1002/cnm.2555ISI: 000322674500002ScopusID: 2-s2.0-84881368320OAI: diva2:645648

QC 20130905

Available from: 2013-09-05 Created: 2013-08-30 Last updated: 2013-09-05Bibliographically approved

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Holzapfel, Gerhard A.
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