Deformation measurements and material property estimation of mouse carotid artery using a microstructure-based constitutive model.

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]  B. Bay,et al.  Digital volume correlation: Three-dimensional strain mapping using X-ray tomography , 1999 .

[2]  J. M. Huntley,et al.  Simultaneous measurement of in-plane and out-of-plane displacement fields in scattering media using phase-contrast spectral optical coherence tomography. , 2009, Optics letters.

[3]  S M Lessner,et al.  Strain field measurements on mouse carotid arteries using microscopic three-dimensional digital image correlation. , 2008, Journal of biomedical materials research. Part A.

[4]  G Josse,et al.  A nonlinear elastic behavior to identify the mechanical parameters of human skin in vivo , 2008, Skin research and technology : official journal of International Society for Bioengineering and the Skin (ISBS) [and] International Society for Digital Imaging of Skin (ISDIS) [and] International Society for Skin Imaging.

[5]  G. Holzapfel,et al.  A structural model for the viscoelastic behavior of arterial walls: Continuum formulation and finite element analysis , 2002 .

[6]  Jay D Humphrey,et al.  Quantification of the mechanical behavior of carotid arteries from wild-type, dystrophin-deficient, and sarcoglycan-delta knockout mice. , 2008, Journal of biomechanics.

[7]  J D Humphrey,et al.  Mechanics of the arterial wall: review and directions. , 1995, Critical reviews in biomedical engineering.

[8]  M. A. Sutton,et al.  Robust stereo vision and calibration methodology for accurate three-dimensional digital image correlation measurements on submerged objects , 2008 .

[9]  G. Ateshian,et al.  An automated approach for direct measurement of two-dimensional strain distributions within articular cartilage under unconfined compression. , 2002, Journal of biomechanical engineering.

[10]  Hilmi Demiray,et al.  A layered cylindrical shell model for an aorta , 1991 .

[11]  R. Ogden,et al.  A New Constitutive Framework for Arterial Wall Mechanics and a Comparative Study of Material Models , 2000 .

[12]  Shigeru Aoki,et al.  Identification of Gurson's material constants by using Kalman filter , 1997 .

[13]  G. H. Kaufmann,et al.  Tilt scanning interferometry: a numerical simulation benchmark for 3D metrology. , 2009, Applied optics.

[14]  Ciaran K Simms,et al.  Digital image correlation and finite element modelling as a method to determine mechanical properties of human soft tissue in vivo. , 2009, Journal of biomechanics.

[15]  R. Huiskes,et al.  A three-dimensional digital image correlation technique for strain measurements in microstructures. , 2004, Journal of biomechanics.

[16]  Alexandre Delalleau,et al.  Characterization of the mechanical properties of skin by inverse analysis combined with the indentation test. , 2006, Journal of biomechanics.

[17]  Michael A. Sutton,et al.  Advances in light microscope stereo vision , 2004 .

[18]  R. Jones,et al.  Full-field deformation of bovine cornea under constrained inflation conditions. , 2008, Biomaterials.

[19]  Hai-Chao Han,et al.  Matrix metalloproteinase-2 and -9 are associated with high stresses predicted using a nonlinear heterogeneous model of arteries. , 2009, Journal of biomechanical engineering.

[20]  Padmanabhan Seshaiyer,et al.  A sub-domain inverse finite element characterization of hyperelastic membranes including soft tissues. , 2003, Journal of biomechanical engineering.

[21]  Jeffrey E Bischoff,et al.  Quantifying nonlinear anisotropic elastic material properties of biological tissue by use of membrane inflation , 2009, Computer methods in biomechanics and biomedical engineering.

[22]  Nielen Stander,et al.  Inverse Parameter Fitting of Biological Tissues: A Response Surface Approach , 2005, Annals of Biomedical Engineering.

[23]  Jeffrey E. Bischoff,et al.  A microstructurally based orthotropic hyperelastic constitutive law , 2002 .

[24]  Russell Heikes,et al.  Constitutive modeling of porcine coronary arteries using designed experiments. , 2003, Journal of biomechanical engineering.

[25]  B. Bay.  Texture correlation: A method for the measurement of detailed strain distributions within trabecular bone , 1995, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[26]  Hubert W. Schreier,et al.  Image Correlation for Shape, Motion and Deformation Measurements: Basic Concepts,Theory and Applications , 2009 .

[27]  G. Ravichandran,et al.  Three-dimensional Full-field Measurements of Large Deformations in Soft Materials Using Confocal Microscopy and Digital Volume Correlation , 2007 .