Vol. 3, No. 6, 2008

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A continuous model for an arterial tissue, incorporating remodeling and volumetric growth

Fons van de Ven and Ihor Machyshyn

Vol. 3 (2008), No. 6, 1171–1185

A continuum-mechanics approach for the derivation of a model for the behavior, that is, the growth and remodeling, of an arterial tissue under a mechanical load is presented. This behavior exhibits an interplay between two phenomena: continuum mechanics and biology. The tissue is modeled as a continuous mixture of two components: elastin and collagen. Both components are incompressible, but the tissue as a whole can show volumetric growth due to the creation of collagen. Collagen is a fibrous structure, having a strain-induced preferred orientation. Remodeling of the tissue incorporates degradation of elastin and strain-induced creation and degradation of collagen fibers. Both elastin and collagen are considered to be nonlinear elastic media; elastin as a neo-Hookean material and collagen fibers behaving according to an exponential law. The modeling is based on the classical balance laws of mass and momentum.

arterial tissue, volumetric growth, strain-induced orientation, elastin, collagen
Received: 7 February 2008
Accepted: 25 March 2008
Published: 1 August 2008
Fons van de Ven
Eindhoven University of Technology
Department of Mathematics and Computing Science
P.O.Box 513
5600 MB Eindhoven
The Netherlands
Ihor Machyshyn
Eindhoven University of Technology
Biomedical Engineering
Materials Technology
P.O. Box 513
5600 MB Eindhoven
The Netherlands