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Research Papers

Deformation Measurements and Material Property Estimation of Mouse Carotid Artery Using a Microstructure-Based Constitutive Model

[+] Author and Article Information
Jinfeng Ning, Shaowen Xu

Department of Mechanical Engineering, University of South Carolina, 300 South Main Street, Columbia, SC 29208

Ying Wang, Susan M. Lessner

Biomedical Engineering Program, University of South Carolina, Columbia, SC 29208; Deptartment of Cell Biology and Anatomy, University of South Carolina School of Medicine, Columbia, SC 29208

Michael A. Sutton1

Department of Mechanical Engineering, University of South Carolina, 300 South Main Street, Columbia, SC 29208sutton@sc.edu

Kevin Anderson

Biomedical Engineering Program, University of South Carolina, Columbia, SC 29208

Jeffrey E. Bischoff

 Zimmer, Inc., Warsaw, IN 46581

VIC3D , Correlated Solutions Inc., 120 Kaminer Way, Parkway Suite A, Columbia, SC 29210.

Independent measurements of the average axial strain using VIC3D software and stereo-image matching confirmed that the Bose axial displacement provides a representative value for estimating average strain.

The model used here has been shown to capture the nonlinear anisotropic response of various types of soft tissue in various modes of deformation (Bischoff et al. (17-18)).

Initial experiments were performed in 2007 using arteries from 6 month old mice.

For 30% prestretch (axial preload condition), the results in Fig. 7 can be thought of as an extension of the previous tensile experiment. That is, at the final step of the tensile experiment, both ends are fixed and pressure loading is applied on the inner surface of the artery.

1

Corresponding author.

J Biomech Eng 132(12), 121010 (Nov 12, 2010) (13 pages) doi:10.1115/1.4002700 History: Received February 20, 2010; Revised September 16, 2010; Posted October 04, 2010; Published November 12, 2010; Online November 12, 2010

A series of pressurization and tensile loading experiments on mouse carotid arteries is performed with deformation measurements acquired during each experiment using three-dimensional digital image correlation. Using a combination of finite element analysis and a microstructure-based constitutive model to describe the response of biological tissue, the measured surface strains during pressurization, and the average axial strains during tensile loading, an inverse procedure is used to identify the optimal constitutive parameters for the mouse carotid artery. The results demonstrate that surface strain measurements can be combined with computational methods to identify material properties in a vascular tissue. Additional computational studies using the optimal material parameters for the mouse carotid artery are discussed with emphasis on the significance of the qualitative trends observed.

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Copyright © 2010 by American Society of Mechanical Engineers
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Figures

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Figure 2

(a) Schematic of the experimental setup for pressurizing a mouse carotid artery: A is a computer with two image capture cards, B are two cameras, C is a microscope, D is a specimen holder sink, E is a foam block, F is a 25-gauge Luer stub, G is a mouse carotid artery, H is a holder, I is a pressure controller, J is a syringe, and K is a syringe pump. (b) Photograph of experimental setup for pressurization of mouse artery. (c) Photograph of the local experimental configuration during pressurization. Two Luers on the left are attached to opposite ends of a small artery. Two Luers on the right sit atop a styrofoam block floating on water, providing freedom of movement.

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Figure 3

Measured average longitudinal normal strain Exx, average circumferential normal strain Eθθ, and average shear strain 2Exθ as functions of pressure for one of the mouse common carotid artery specimens during the fifth load cycle. All strain data were obtained using stereo-microscope imaging system and stereo measurement procedures described previously (1-3).

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Figure 4

Axial load as a function of displacement during several cycles of tensile loading, maximum load is 0.20 g with variability in the measurements on the order of 0.01 g

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Figure 5

Comparison of the experimental measurements and the numerical simulation results for the identified constitutive parameters for both (a) pressurization and (b) tension loading

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Figure 6

Numerical simulation results of stress and strain distributions along the radial direction for tensile loading experiment

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Figure 7

Simulation results of stress and strain distributions along the radial direction for 0.0 mm (0%) and 0.6 mm (30%) prestretch

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Figure 1

Representative image of DIC speckle pattern formed on mouse carotid artery using nuclear staining. The region of interest where axial strains (Exx) along the horizontal length of the artery were obtained during pressurization is shown with colors representing different measured local strain values. Scale bar=100 μm.

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Figure 9

Simulation results of stress and strain distributions across the thickness for 120 mm Hg

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Figure 8

Simulation results of stress and strain distributions across the thickness for 80 mm Hg

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