In vivo magnetic resonance image (MRI)-based computational models have been introduced to calculate atherosclerotic plaque stress and strain conditions for possible rupture predictions. However, patient-specific vessel material properties are lacking in those models, which affects the accuracy of their stress/strain predictions. A noninvasive approach of combining in vivo Cine MRI, multicontrast 3D MRI, and computational modeling was introduced to quantify patient-specific carotid artery material properties and the circumferential shrinkage rate between vessel in vivo and zero-pressure geometries. In vivo Cine and 3D multicontrast MRI carotid plaque data were acquired from 12 patients after informed consent. For each patient, one nearly-circular slice and an iterative procedure were used to quantify parameter values in the modified Mooney-Rivlin model for the vessel and the vessel circumferential shrinkage rate. A sample artery slice with and without a lipid core and three material parameter sets representing stiff, median, and soft materials from our patient data were used to demonstrate the effect of material stiffness and circumferential shrinkage process on stress/strain predictions. Parameter values of the Mooney-Rivlin models for the 12 patients were quantified. The effective Young’s modulus (YM, unit: kPa) values varied from 137 (soft), 431 (median), to 1435 (stiff), and corresponding circumferential shrinkages were 32%, 12.6%, and 6%, respectively. Using the sample slice without the lipid core, the maximum plaque stress values (unit: kPa) from the soft and median materials were 153.3 and 96.2, which are 67.7% and 5% higher than that (91.4) from the stiff material, while the maximum plaque strain values from the soft and median materials were 0.71 and 0.293, which are about 700% and 230% higher than that (0.089) from the stiff material, respectively. Without circumferential shrinkages, the maximum plaque stress values (unit: kPa) from the soft, median, and stiff models were inflated to 330.7, 159.2, and 103.6, which were 116%, 65%, and 13% higher than those from models with proper shrinkage. The effective Young’s modulus from the 12 human carotid arteries studied varied from 137 kPa to 1435 kPa. The vessel circumferential shrinkage to the zero-pressure condition varied from 6% to 32%. The inclusion of proper shrinkage in models based on in vivo geometry is necessary to avoid over-estimating the stresses and strains by up 100%. Material stiffness had a greater impact on strain (up to 700%) than on stress (up to 70%) predictions. Accurate patient-specific material properties and circumferential shrinkage could considerably improve the accuracy of in vivo MRI-based computational stress/strain predictions.
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January 2012
Research Papers
Using In Vivo Cine and 3D Multi-Contrast MRI to Determine Human Atherosclerotic Carotid Artery Material Properties and Circumferential Shrinkage Rate and Their Impact on Stress/Strain Predictions
Haofei Liu,
Haofei Liu
Mathematical Sciences Department,
Worcester Polytechnic Institute
, Worcester, MA 01609
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Gador Canton,
Gador Canton
Department of Radiology,
University of Washington
, Seattle, WA 98195
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Chun Yuan,
Chun Yuan
Department of Radiology,
University of Washington
, Seattle, WA 98195
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Chun Yang,
Chun Yang
Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA 01609;School of Mathematics,
Beijing Normal University
, Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, China
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Kristen Billiar,
Kristen Billiar
Department of Biomedical Engineering,
Worcester Polytechnic Institute
, Worcester, MA 01609
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Zhongzhao Teng,
Zhongzhao Teng
Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA 01609;University Department of Radiology,
University of Cambridge
, Cambridge, UK
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Allen H. Hoffman,
Allen H. Hoffman
Department of Mechanical Engineering,
Worcester Polytechnic Institute
, Worcester, MA 01609
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Dalin Tang
Dalin Tang
Mathematical Sciences Department,
e-mail: dtang@wpi.edu
Worcester Polytechnic Institute
, Worcester, MA 01609
Search for other works by this author on:
Haofei Liu
Mathematical Sciences Department,
Worcester Polytechnic Institute
, Worcester, MA 01609
Gador Canton
Department of Radiology,
University of Washington
, Seattle, WA 98195
Chun Yuan
Department of Radiology,
University of Washington
, Seattle, WA 98195
Chun Yang
Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA 01609;School of Mathematics,
Beijing Normal University
, Key Laboratory of Mathematics and Complex Systems, Ministry of Education, Beijing, China
Kristen Billiar
Department of Biomedical Engineering,
Worcester Polytechnic Institute
, Worcester, MA 01609
Zhongzhao Teng
Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA 01609;University Department of Radiology,
University of Cambridge
, Cambridge, UK
Allen H. Hoffman
Department of Mechanical Engineering,
Worcester Polytechnic Institute
, Worcester, MA 01609
Dalin Tang
Mathematical Sciences Department,
Worcester Polytechnic Institute
, Worcester, MA 01609e-mail: dtang@wpi.edu
J Biomech Eng. Jan 2012, 134(1): 011008 (9 pages)
Published Online: February 9, 2012
Article history
Received:
July 14, 2011
Revised:
January 3, 2012
Posted:
January 24, 2012
Published:
February 8, 2012
Online:
February 9, 2012
Citation
Liu, H., Canton, G., Yuan, C., Yang, C., Billiar, K., Teng, Z., Hoffman, A. H., and Tang, D. (February 9, 2012). "Using In Vivo Cine and 3D Multi-Contrast MRI to Determine Human Atherosclerotic Carotid Artery Material Properties and Circumferential Shrinkage Rate and Their Impact on Stress/Strain Predictions." ASME. J Biomech Eng. January 2012; 134(1): 011008. https://doi.org/10.1115/1.4005685
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