Journal
JOURNAL OF BIOMECHANICS
Volume 48, Issue 10, Pages 2080-2089Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.jbiomech.2015.03.012
Keywords
Residual stress; Prestrain; Opening angle; Patient-specific modeling; Finite element method; Finite strain
Categories
Funding
- European Community
- NIH [R01-HL-077921, R01-HL-118627, U01-HL-119578]
- NSF [0952021, 1233054]
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1233054] Funding Source: National Science Foundation
- Div Of Civil, Mechanical, & Manufact Inn
- Directorate For Engineering [0952021] Funding Source: National Science Foundation
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Even when entirely unloaded, biological structures are not stress-free, as shown by Y.C. Fung's seminal opening angle experiment on arteries and the left ventricle. As a result of this prestrain, subject-specific geometries extracted from medical imaging do not represent an unloaded reference configuration necessary for mechanical analysis, even if the structure is externally unloaded. Here we propose a new computational method to create physiological residual stress fields in subject-specific left ventricular geometries using the continuum theory of fictitious configurations combined with a fixed-point iteration. We also reproduced the opening angle experiment on four swine models, to characterize the range of normal opening angle values. The proposed method generates residual stress fields which can reliably reproduce the range of opening angles between 8.7 +/- 1.8 and 16.6 +/- 13.7 as measured experimentally. We demonstrate that including the effects of prestrain reduces the left ventricular stiffness by up to 40%, thus facilitating the ventricular filling, which has a significant impact on cardiac function. This method can improve the fidelity of subject-specific models to improve our understanding of cardiac diseases and to optimize treatment options. (C) 2015 Elsevier Ltd. All rights reserved.
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