A 3-D constrained mixture model for mechanically mediated vascular growth and remodeling
- 29 December 2009
- journal article
- research article
- Published by Springer Science and Business Media LLC in Biomechanics and Modeling in Mechanobiology
- Vol. 9 (4), 403-419
- https://doi.org/10.1007/s10237-009-0184-z
Abstract
In contrast to the widely applied approach to model soft tissue remodeling employing the concept of volumetric growth, microstructurally motivated models are capable of capturing many of the underlying mechanisms of growth and remodeling; i.e., the production, removal, and remodeling of individual constituents at different rates and to different extents. A 3-dimensional constrained mixture computational framework has been developed for vascular growth and remodeling, considering new, microstructurally motivated kinematics and constitutive equations and new stress and muscle activation mediated evolution equations. Our computational results for alterations in flow and pressure, using reasonable physiological values for rates of constituent growth and turnover, concur with findings in the literature. For example, for flow-induced remodeling, our simulations predict that, although the wall shear stress is restored completely, the circumferential stress is not restored employing realistic physiological rate parameters. Also, our simulations predict different levels of thickening on inner versus outer wall locations, as shown in numerous reports of pressure-induced remodeling. Whereas the simulations are meant to be illustrative, they serve to highlight the experimental data currently lacking to fully quantify mechanically mediated adaptations in the vasculature.Keywords
This publication has 41 references indexed in Scilit:
- A Phenomenological Model for Mechanically Mediated Growth, Remodeling, Damage, and Plasticity of Gel-Derived Tissue Engineered Blood VesselsJournal of Biomechanical Engineering, 2009
- Microstructurally Motivated Constitutive Modeling of Mouse Arteries Cultured Under Altered Axial StretchJournal of Biomechanical Engineering, 2009
- Theory and Experiments for Mechanically-Induced Remodeling of Tissue Engineered Blood Vessels5th Forum on New Materials Part A, 2008
- Acute mechanoadaptation of vascular smooth muscle cells in response to continuous arteriolar vasoconstriction: implications for functional remodelingThe FASEB Journal, 2004
- Building a functional artery: issues from the perspective of mechanicsFrontiers in Bioscience-Landmark, 2004
- A constrained mixture model for arterial adaptations to a sustained step change in blood flowBiomechanics and Modeling in Mechanobiology, 2003
- Compatibility and the genesis of residual stress by volumetric growthJournal of Mathematical Biology, 1996
- Theoretical Study of Stress-Modulated Growth in the AortaJournal of Theoretical Biology, 1996
- On Residual Stresses in ArteriesJournal of Biomechanical Engineering, 1986
- Biphasic Creep and Stress Relaxation of Articular Cartilage in Compression: Theory and ExperimentsJournal of Biomechanical Engineering, 1980