Special Issue Paper - Numerical Methods and Applications of Multi-Physics in Biomechanical Modeling
A finite element-based constrained mixture implementation for arterial growth, remodeling, and adaptation: Theory and numerical verification
Article first published online: 24 MAY 2013
Copyright © 2013 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Biomedical Engineering
Volume 29, Issue 8, pages 822–849, August 2013
How to Cite
Valentín, A., Humphrey, J.D. and Holzapfel, G.A. (2013), A finite element-based constrained mixture implementation for arterial growth, remodeling, and adaptation: Theory and numerical verification. Int. J. Numer. Meth. Biomed. Engng., 29: 822–849. doi: 10.1002/cnm.2555
- Issue published online: 5 AUG 2013
- Article first published online: 24 MAY 2013
- Manuscript Revised: 9 APR 2013
- Manuscript Accepted: 9 APR 2013
- Manuscript Received: 21 DEC 2012
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. Copyright © 2013 John Wiley & Sons, Ltd.