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.

1.
Schreier
,
H. W.
,
Garcia
,
D.
, and
Sutton
,
M. A.
, 2004, “
Advances in Stereo Light Microscopy
,”
Exp. Mech.
0014-4851,
44
(
3
), pp.
278
288
.
2.
Sutton
,
M. A.
,
Ke
,
X.
,
Lessner
,
S. M.
,
Goldbach
,
M.
,
Yost
,
M.
,
Zhao
,
F.
, and
Schreier
,
H. W.
, 2008, “
Strain Field Measurements on Mouse Carotid Arteries Using Microscopic Three-Dimensional Digital Image Correlation
,”
J. Biomed. Mater. Res. Part A
1549-3296,
84A
(
1
), pp.
178
190
.
3.
Ke
,
X.
, 2008, “
Development and Application of Advanced Vision Systems for Biomechanics Measurements
,” Ph.D. thesis, University of South Carolina, Columbia, SC.
4.
Ke
,
X.
,
Sutton
,
M. A.
,
Lessner
,
S.
, and
Schreier
,
H. W.
, 2008, “
Robust Stereovision and Calibration Methodology for Accurate 3D Digital Image Correlation Measurements on Submerged Objects
,”
J. Strain Anal. Eng. Des.
0309-3247,
43
, pp.
689
704
.
5.
Boyce
,
B. L.
,
Grazier
,
J. M.
,
Jones
,
R. E.
, and
Nguyen
,
T. D.
, 2008, “
Full-Field Deformation of Bovine Cornea Under Constrained Inflation Conditions
,”
Biomaterials
0142-9612,
29
(
28
), pp.
3896
3904
.
6.
Moerman
,
K. M.
,
Holt
,
C. A.
,
Evans
,
S. L.
, and
Simms
,
C. K.
, 2009, “
Digital Image Correlation and Finite Element Modelling as a Method to Determine Mechanical Properties of Human Soft Tissue in Vivo
,”
J. Biomech.
0021-9290,
42
(
8
), pp.
1150
1153
.
7.
Humphrey
,
J. D.
, 1995, “
Mechanics of the Arterial Wall: Review and Directions
,”
Crit. Rev. Biomed. Eng.
0278-940X,
23
(
1/2
), pp.
1
162
.
8.
Holzapfel
,
G. A.
,
Gasser
,
T. C.
, and
Stadler
,
M.
, 2002, “
A Structural Model for the Viscoelastic Behavior of Arterial Walls: Continuum Formulation and Finite Element Analysis
,”
Eur. J. Mech. A/Solids
0997-7538,
21
, pp.
441
463
.
9.
Wang
,
C. C.
,
Deng
,
J. M.
,
Ateshian
,
G. A.
, and
Hung
,
C. T.
, 2002, “
An Automated Approach for Direct Measurement of Two-Dimensional Strain Distributions Within Articular Cartilage Under Unconfined Compression
,”
ASME J. Biomech. Eng.
0148-0731,
124
(
5
), pp.
557
567
.
10.
Franck
,
C.
,
Hong
,
S.
,
Maskarinec
,
S. A.
,
Tirrell
,
D. A.
, and
Ravichandran
,
G.
, 2007, “
Three-Dimensional Full-Field Measurements of Large Deformations in Soft Materials Using Confocal Microscopy and Digital Volume Correlation
,”
Exp. Mech.
0014-4851,
47
, pp.
427
438
.
11.
Bay
,
B. K.
, 1995, “
Texture Correlation: A Method for the Measurement of Detailed Strain Distributions Within Trabecular Bone
,”
J. Orthop. Res.
0736-0266,
13
(
2
), pp.
258
267
.
12.
Bay
,
B. K.
,
Smith
,
T. S.
,
Fyhrie
,
D. P.
, and
Saad
,
M.
, 1999, “
Digital Volume Correlation: Three-Dimensional Strain Mapping Using X-Ray Tomography
,”
Exp. Mech.
0014-4851,
39
(
3
), pp.
217
226
.
13.
Verhulp
,
E.
,
van Rietbergen
,
B.
, and
Huiskes
,
R.
, 2004, “
A Three-Dimensional Digital Image Correlation Technique for Strain Measurements in Microstructures
,”
J. Biomech.
0021-9290,
37
(
9
), pp.
1313
1320
.
14.
Dixon
,
S. A.
,
Heikes
,
R. G.
, and
Vito
,
R. P.
, 2003, “
Constitutive Modeling of Porcine Coronary Arteries Using Designed Experiments
,”
ASME J. Biomech. Eng.
0148-0731,
125
(
2
), pp.
274
279
.
15.
Demiray
,
H.
, and
Vito
,
R. P.
, 1991, “
A Layered Cylindrical Shell Model for an Aorta
,”
Int. J. Eng. Sci.
0020-7225,
29
(
1
), pp.
47
54
.
16.
Holzapfel
,
G. A.
,
Gasser
,
T. C.
, and
Ogden
,
R. W.
, 2000, “
A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models
,”
J. Elast.
0374-3535,
61
, pp.
1
48
.
17.
Bischoff
,
J. E.
,
Arruda
,
E. A.
, and
Grosh
,
K.
, 2002, “
A Microstructurally Based Orthotropic Hyperelastic Constitutive Law
,”
ASME J. Appl. Mech.
0021-8936,
69
(
5
), pp.
570
579
.
18.
Bischoff
,
J. E.
,
Drexler
,
E. S.
,
Slifka
,
A. J.
, and
McCowan
,
C. N.
, 2009, “
Quantifying Nonlinear Anisotropic Elastic Material Properties of Biological Tissue by Use of Membrane Inflation
,”
Comput. Methods Biomech. Biomed. Eng.
1025-5842,
12
(
3
), pp.
353
369
.
19.
Aoki
,
S.
,
Amaya
,
K.
,
Sahashi
,
M.
, and
Nakamura
,
T.
, 1997, “
Identification of Gurson’s Material Constants by Using Kalman Filter
,”
Comput. Mech.
0178-7675,
19
, pp.
501
506
.
20.
Seshaiyer
,
P.
, and
Humphrey
,
J. D.
, 2003, “
A Sub-Domain Inverse Finite Element Characterization of Hyperelastic Membranes Including Soft Tissues
,”
ASME J. Biomech. Eng.
0148-0731,
125
(
3
), pp.
363
371
.
21.
Delalleau
,
A.
,
Josse
,
G.
,
Lagarde
,
J. M.
,
Zahouani
,
H.
, and
Bergheau
,
J. M.
, 2006, “
Characterization of the Mechanical Properties of Skin by Inverse Analysis Combined With the Indentation Test
,”
J. Biomech.
0021-9290,
39
(
9
), pp.
1603
1610
.
22.
Delalleau
,
A.
,
Josse
,
G.
,
Lagarde
,
J. M.
,
Zahouani
,
H.
, and
Bergheau
,
J. M.
, 2008, “
A Nonlinear Elastic Behavior to Identify the Mechanical Parameters of Human Skin in Vivo
,”
Skin Res. Technol.
0909-752X,
14
(
2
), pp.
152
164
.
23.
Einstein
,
D. R.
,
Freed
,
A. D.
,
Stander
,
N.
,
Fata
,
B.
, and
Vesely
,
I.
, 2005, “
Inverse Parameter Fitting of Biological Tissues: A Response Surface Approach
,”
Ann. Biomed. Eng.
0090-6964,
33
(
12
), pp.
1819
1830
.
24.
Gleason
,
R. L.
,
Dye
,
W. W.
,
Wilson
,
E.
, and
Humphrey
,
J. D.
, 2008, “
Quantification of the Mechanical Behavior of Carotid Arteries From Wild-Type, Dystrophin-Deficient, and Sarcoglycan-Delta Knockout Mice
,”
J. Biomech.
0021-9290,
41
(
15
), pp.
3213
3218
.
25.
Sutton
,
M. A.
,
Orteu
,
J. J.
, and
Schreier
,
H. W.
, 2009,
Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts, Theory and Applications
,
Springer
,
New York
.
26.
Kim
,
Y. S.
,
Galis
,
Z. S.
,
Rachev
,
A.
,
Han
,
H. C.
, and
Vito
,
R. P.
, 2009, “
Matrix Metalloproteinase-2 and -9 Are Associated With High Stresses Predicted Using a Nonlinear Heterogeneous Model of Arteries
,”
ASME J. Biomech. Eng.
0148-0731,
131
(
1
), p.
011009
.
27.
De la Torre Ibarra
,
M. H.
,
Ruiz
,
P. D.
, and
Huntley
,
J. M.
, 2009, “
Simultaneous Measurement of In-Plane and Out-of-Plane Displacement Fields in Scattering Media Using Phase-Contrast Spectral Optical Coherence Tomography
,”
Opt. Lett.
0146-9592,
34
(
6
), pp.
806
808
.
28.
Galizzi
,
G. E.
,
Ruiz
,
P. D.
, and
Kaufman
,
G. H.
, 2009, “
Tilt Scanning Interferometry: A Numerical Simulation Benchmark for 3D Metrology
,”
Appl. Opt.
0003-6935,
48
(
17
), pp.
3184
3191
.
You do not currently have access to this content.