A Two-Dimensional Model of Hypertension-Induced Arterial Remodeling With Account for Stress Interaction Between Elastin and Collagen

Author:

Rachev Alexander1,Shazly Tarek2

Affiliation:

1. University of South Carolina, College of Engineering and Computing, Biomedical Engineering Program, Columbia, SC 29208; Institute of Mechanics, Acad. G Bonchev Street Block 4, Sofia, Bulgaria

2. University of South Carolina, College of Engineering and Computing, Biomedical Engineering Program, Columbia, SC 29208

Abstract

Abstract We propose a novel structure-based two-dimensional (2D) mathematical model of hypertension-induced arterial remodeling. The model is built in the framework of the constrained mixture theory and global growth approach, utilizing a recently proposed structure-based constitutive model of arterial tissue that accounts for the individual natural configurations of and stress interaction between elastin and collagen. The basic novel predictive result is that provided remodeling causes a change in the elastin/collagen mass fraction ratio, it leads to a structural reorganization of collagen that manifests as an altered fiber undulation and a change in direction of the helically oriented fibers in the tissue natural state. Results obtained from the illustrative simulations for a porcine renal artery show that when remodeling is complete the collagen reorganization might have significant effects on the initial arterial geometry and mechanical properties of the arterial tissue. The proposed model has potential to describe and advance mechanistic understanding of adaptive arterial remodeling, promote the continual refinement of mathematical models of arterial remodeling, and provide motivation for new avenues of experimental investigation.

Funder

National Science Foundation

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

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