Accurate modeling of arterial elasticity is imperative for predicting pulsatile blood flow and transport to the periphery, and for evaluating the mechanical microenvironment of the vessel wall. The goal of the present study is to compare a recently developed structural model of porcine left anterior descending artery media to two commonly used typical representatives of phenomenological and structure-motivated invariant-based models, in terms of the number of model parameters, model descriptive and predictive powers, and requisite different test protocols for reliable parameter estimation. The three models were compared against 3D data of radial inflation, axial extension, and twist tests. Also checked are the models predictive capabilities to response data not used for estimation, including both tests outside the range of estimation database, as well as protocols of a different nature. The results show that the descriptive estimation error (model fit to estimation database), measured by the sum of squared residuals (SSE) between full 3D data and model predictions, was about twice as low for the structural (4.58%) model compared to the other two (9.71 and 8.99% for the phenomenological and structure-motivated models, respectively). Similar SSE ratios were obtained for the predictive capabilities. Prediction SSE at high stretch based on estimation of two low stretches yielded an SSE value of 2.81% for the structural model, and 10.54% and 7.87% for the phenomenological and structure-motivated models, respectively. For the prediction of twist from inflation-extension data, SSE values for the torsional stiffness was 1.76% for the structural model and 39.62 and 2.77% for the phenomenological and structure-motivated models. The required number of model parameters for the structural model is four, whereas the phenomenological model requires six to nine and the structure-motivated has four parameters. These results suggest that modeling based on the tissue structural features improves model reliability in describing given data and in predicting the tissue general response.
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June 2011
Research Papers
Constitutive Modeling of Coronary Arterial Media—Comparison of Three Model Classes
Yaniv Hollander,
Yaniv Hollander
Faculty of Aerospace Engineering,
Technion–Israel Institute of Technology
, Haifa 3200, Israel
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David Durban,
David Durban
Faculty of Aerospace Engineering,
Technion–Israel Institute of Technology
, Haifa 3200, Israel
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Xiao Lu,
Xiao Lu
Department of Biomedical Engineering Surgery, Cellular and Integrative Physiology,
IN 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,
IN 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 3200, Israel
Search for other works by this author on:
Yaniv Hollander
Faculty of Aerospace Engineering,
Technion–Israel Institute of Technology
, Haifa 3200, Israel
David Durban
Faculty of Aerospace Engineering,
Technion–Israel Institute of Technology
, Haifa 3200, Israel
Xiao Lu
Department of Biomedical Engineering Surgery, Cellular and Integrative Physiology,
IN University Purdue University at Indianapolis
, Indianapolis, IN 46202
Ghassan S. Kassab
Department of Biomedical Engineering Surgery, Cellular and Integrative Physiology,
IN University Purdue University at Indianapolis
, Indianapolis, IN 46202
Yoram Lanir
Faculty of Biomedical Engineering,
Technion–Israel Institute of Technology
, Haifa 3200, Israel
e-mail: yoramlanir@yahoo.com
J Biomech Eng. Jun 2011, 133(6): 061008 (12 pages)
Published Online: July 5, 2011
Article history
Received:
December 14, 2010
Revised:
May 13, 2011
Posted:
May 17, 2011
Published:
July 5, 2011
Online:
July 5, 2011
Citation
Hollander, Y., Durban, D., Lu, X., Kassab, G. S., and Lanir, Y. (July 5, 2011). "Constitutive Modeling of Coronary Arterial Media—Comparison of Three Model Classes." ASME. J Biomech Eng. June 2011; 133(6): 061008. https://doi.org/10.1115/1.4004249
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