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
Abstract

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.

Keywords
arterial tissue, volumetric growth, strain-induced orientation, elastin, collagen
Milestones
Received: 7 February 2008
Accepted: 25 March 2008
Published: 1 August 2008
Authors
Fons van de Ven
Eindhoven University of Technology
Department of Mathematics and Computing Science
P.O.Box 513
5600 MB Eindhoven
The Netherlands
http://www.win.tue.nl/casa/aboutus/permstaff/37.html
Ihor Machyshyn
Eindhoven University of Technology
Biomedical Engineering
Materials Technology
P.O. Box 513
5600 MB Eindhoven
The Netherlands