Accurate modeling of arterial response to physiological or pathological loads may shed light on the processes leading to initiation and progression of a number of vascular diseases and may serve as a tool for prediction and diagnosis. In this study, a microstructure based hyperelastic constitutive model is developed for passive media of porcine coronary arteries. The most general model contains 12 independent parameters representing the three-dimensional inner fibrous structure of the media and includes the effects of residual stresses and osmotic swelling. Parameter estimation and model validation were based on mechanical data of porcine left anterior descending (LAD) media under radial inflation, axial extension, and twist tests. The results show that a reduced four parameter model is sufficient to reliably predict the passive mechanical properties. These parameters represent the stiffness and the helical orientation of each lamellae fiber and the stiffness of the interlamellar struts interconnecting these lamellae. Other structural features, such as orientational distribution of helical fibers and anisotropy of the interlamellar network, as well as possible transmural distribution of structural features, were found to have little effect on the global media mechanical response. It is shown that the model provides good predictions of the LAD media twist response based on parameters estimated from only biaxial tests of inflation and extension. In addition, good predictive capabilities are demonstrated for the model behavior at high axial stretch ratio based on data of law stretches.
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March 2011
Research Papers
Experimentally Validated Microstructural 3D Constitutive Model of Coronary Arterial Media
Yaniv Hollander,
Yaniv Hollander
Faculty of Aerospace Engineering,
Technion-Israel Institute of Technology
, Haifa 32000, Israel
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David Durban,
David Durban
Faculty of Aerospace Engineering,
Technion-Israel Institute of Technology
, Haifa 32000, Israel
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Xiao Lu,
Xiao Lu
Department of Biomedical Engineering, Surgery, Cellular, and Integrative Physiology,
Indiana University-Purdue University at Indianapolis
, Indianapolis, IN 46202
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Ghassan S. Kassab,
Ghassan S. Kassab
Department of Biomedical Engineering, Surgery, Cellular, and Integrative Physiology,
Indiana University-Purdue University at Indianapolis
, Indianapolis, IN 46202
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Yoram Lanir
Yoram Lanir
Faculty of Biomedical Engineering,
e-mail: yoramlanir@yahoo.com
Technion-Israel Institute of Technology
, Haifa 32000, Israel
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Yaniv Hollander
Faculty of Aerospace Engineering,
Technion-Israel Institute of Technology
, Haifa 32000, Israel
David Durban
Faculty of Aerospace Engineering,
Technion-Israel Institute of Technology
, Haifa 32000, Israel
Xiao Lu
Department of Biomedical Engineering, Surgery, Cellular, and Integrative Physiology,
Indiana University-Purdue University at Indianapolis
, Indianapolis, IN 46202
Ghassan S. Kassab
Department of Biomedical Engineering, Surgery, Cellular, and Integrative Physiology,
Indiana University-Purdue University at Indianapolis
, Indianapolis, IN 46202
Yoram Lanir
Faculty of Biomedical Engineering,
Technion-Israel Institute of Technology
, Haifa 32000, Israele-mail: yoramlanir@yahoo.com
J Biomech Eng. Mar 2011, 133(3): 031007 (14 pages)
Published Online: February 7, 2011
Article history
Received:
August 10, 2010
Revised:
November 23, 2010
Posted:
December 22, 2010
Published:
February 7, 2011
Online:
February 7, 2011
Citation
Hollander, Y., Durban, D., Lu, X., Kassab, G. S., and Lanir, Y. (February 7, 2011). "Experimentally Validated Microstructural 3D Constitutive Model of Coronary Arterial Media." ASME. J Biomech Eng. March 2011; 133(3): 031007. https://doi.org/10.1115/1.4003324
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