Heterogeneous growth-induced prestrain in the heart

JOURNAL OF BIOMECHANICS

卷:48

Article

Genet, M.^1,2,3  Rausch, M. K.⁴  Lee, L. C.^1,7  Choy, S.⁸  Zhao, X.⁸  Kassab, G. S.^8,9,10  Kozerke, S.^2,3  Guccione, J. M.¹  Kuhl, E.^4,5,6 

[1] Univ Calif San Francisco, Sch Med, Dept Surg, San Francisco, CA 94143 USA

[2] Univ Zurich, Inst Biomed Engn, Zurich, Switzerland

[3] ETH, Zurich, Switzerland

[4] Stanford Univ, Dept Mech Engn, Stanford, CA 94305 USA

[5] Stanford Univ, Dept Bioengn, Stanford, CA 94305 USA

[6] Stanford Univ, Dept Cardiothorac Surg, Stanford, CA 94305 USA

[7] Michigan State Univ, Dept Mech Engn, E Lansing, MI 48824 USA

[8] Indiana Univ Purdue Univ, Dept Biomed Engn, Indianapolis, IN 46202 USA

[9] Indiana Univ Purdue Univ, Dept Cellular & Integrat Physiol, Indianapolis, IN 46202 USA

[10] Indiana Univ Purdue Univ, Dept Surg, Indianapolis, IN 46202 USA

关键词: Residual stress;    Prestrain;    Opening angle;    Patient-specific modeling;    Finite element method;    Finite strain;   

DOI  :  10.1016/j.jbiomech.2015.03.012

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free