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Research Papers

Biaxial Contractile Mechanics of Common Carotid Arteries of Rabbit

[+] Author and Article Information
Keiichi Takamizawa

Department of Biomedical Engineering,
National Cerebral and Cardiovascular
Center Research Institute,
5-7-1 Fujishirodai, Suita,
Osaka 565-8565, Japan
e-mail: keiichi.takamizawa@gmail.com;
ktaka@ri.ncvc.go.jp

1Corresponding author.

Manuscript received April 30, 2014; final manuscript received October 29, 2014; published online February 2, 2015. Assoc. Editor: Kristen Billiar.

J Biomech Eng 137(3), 031010 (Mar 01, 2015) (5 pages) Paper No: BIO-14-1184; doi: 10.1115/1.4028988 History: Received April 30, 2014; Revised October 29, 2014; Online February 02, 2015

Few multiaxial constitutive laws under the vasoactive condition have been proposed as compared with those under the passive condition. The biaxial isometric properties of vasoactive rabbit arteries were studied, although the constitutive law was not proposed. The purpose of the present study is also to describe the multiaxial active mechanical properties of arteries. A novel strain energy function for the active stress has been proposed. This function is simple and may describe the multiaxial characteristics of constricted vessels. Although this study used mean stress and mean stretch ratio to determine the mechanical properties of vessels, a triaxial constitutive law of constricted vessels may be developed. There remains the subject of residual strains under active condition. If this problem will be solved, the accurate stress analysis under vasoactive conditions is possible.

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Figures

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Fig. 1

Mean diameter–pressure (a) and axial force–pressure (b) relationships of 10 common carotid arteries under passive and activated conditions. Diameter and axial force are represented as mean and SE.

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Fig. 2

Mean circumferential stress (a) and mean axial stress (b) under passive and activated conditions. Each value is represented as mean and SE.

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Fig. 3

Mean circumferential, axial, and radial active stresses (a). Mean ratios of axial to circumferential stress and radial to circumferential stress (b). Each value is represented as mean and SE of ten data (the rightest two points are mean and SE of nine data).

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Fig. 4

Representative passive stress (a) and active stress (b). Results based on the strain energy functions are represented by solid curves.

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Fig. 5

Representative diameter–pressure relationships (a) and axial force–pressure relationships (b) under passive and activated conditions. For the theoretical model, the intraluminal pressure and axial force were calculated as the following equations: Pi = 2[(do-di)/(do+di)](λθ∂W/∂λθ-λr∂W/∂λr), Fz = (π/4)(do2-di2)[λz∂W/∂λz-(λθ∂W/∂λθ+ λr∂W/∂λr)/2].

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