Method for the quantification of rupture probability in soft collagenous tissues

Method for the quantification of rupture probability in soft collagenous tissues
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软胶原组织破裂概率的量化方法

DOI:
10.1002/cnm.2781
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发表时间:
2017
影响因子:
2.1
通讯作者:
M. Ortiz
M. Ortiz
中科院分区:
工程技术3区
文献类型:
--
作者:
D. Balzani;T. Schmidt;M. Ortiz

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提出了一种计算方法,用于评估软胶原组织的破裂概率。这对于诸如动脉粥样硬化动脉或腹主动脉瘤等医学疾病的定量分析可能特别重要,在大多数情况下,未识别的破裂具有致命后果。该方法是基于数值最小化和最大化的故障概率,这是从随机输入量,例如,组织属性。而不是假设这些量的概率分布,这通常是未知的,特别是对于软胶原组织,只有这些分布的有限的知识被考虑在内。考虑到这种有限的统计输入数据,最小化/最大化概率表示破裂概率的最佳界限,这使得能够定量估计执行或不执行医学治疗的潜在风险。虽然很容易扩展到所有类型的机械断裂标准,这里提出的方法结合了基于拉伸和基于损伤的标准。这些是基于加载组织的数值模拟进行评估的,其中考虑了连续力学材料配方,其捕获了软胶原组织的超生理行为。数值例子证明了该方法在过度拉伸的动脉粥样硬化动脉的适用性。版权所有© 2016约翰威利父子有限公司.
A computational method is presented for the assessment of rupture probabilities in soft collagenous tissues. This may in particular be important for the quantitative analysis of medical diseases such as atherosclerotic arteries or abdominal aortic aneurysms, where an unidentified rupture has in most cases fatal consequences. The method is based on the numerical minimization and maximization of probabilities of failure, which arise from random input quantities, for example, tissue properties. Instead of assuming probability distributions for these quantities, which are typically unknown especially for soft collagenous tissues, only restricted knowledge of these distributions is taken into account. Given this limited statistical input data, the minimized/maximized probabilities represent optimal bounds on the rupture probability, which enable a quantitative estimation of potential risks of performing or not performing medical treatment. Although easily extendable to all kinds of mechanical rupture criteria, the approach presented here incorporates stretch‐based and damage‐based criteria. These are evaluated based on numerical simulations of loaded tissues, where continuum mechanical material formulations are considered, which capture the supra‐physiological behavior of soft collagenous tissues. Numerical examples are provided demonstrating the applicability of the method in an overstretched atherosclerotic artery. Copyright © 2016 John Wiley & Sons, Ltd.
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