Uncertainty quantification in subject-specific estimation of local vessel mechanical properties.
Uncertainty quantification in subject-specific estimation of local vessel mechanical properties.
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DOI：
10.1002/cnm.3535
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发表时间：
2021-12
影响因子：
2.1
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中科院分区：
文献类型：
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局部力学性质的定量估计在阐明血管如何建立、维持或失去力学稳态的持续努力中仍然至关重要。基于全景数字图像相关（pDIC）的最新进展已经实现了小动物（例如，鼠）血管时，可能在各种准静态加载配置成像。虽然我们以前已经开发并验证了逆建模方法，将pDIC测量的表面变形转化为感兴趣的生物力学指标，但我们的工作流程迄今为止还没有包括量化与机械特性的局部点估计相关的不确定性的方法。这一限制损害了我们在受试者特定基础上推断生物力学特性的能力，例如同一血管上多个材料位置之间的刚度是否显著不同，或者对应材料位置处多个血管之间的刚度是否显著不同。在本研究中，我们已经集成了一种新的不确定性量化和传播管道内我们的逆建模方法，依靠经验和分析贝叶斯技术。为了证明这种方法，我们提出了说明性的结果从三个小鼠模型的升胸主动脉，量化本构模型参数以及周向和轴向切线刚度的不确定性。我们扩展的工作流程不仅允许系统地报告参数不确定性，而且还便于对血管壁力学进行特定主题和组级统计分析。
Quantitative estimation of local mechanical properties remains critically important in the ongoing effort to elucidate how blood vessels establish, maintain, or lose mechanical homeostasis. Recent advances based on panoramic digital image correlation (pDIC) have made high-fidelity 3D reconstructions of small-animal (e.g., murine) vessels possible when imaged in a variety of quasi-statically loaded configurations. While we have previously developed and validated inverse modeling approaches to translate pDIC-measured surface deformations into biomechanical metrics of interest, our workflow did not heretofore include a methodology to quantify uncertainties associated with local point estimates of mechanical properties. This limitation has compromised our ability to infer biomechanical properties on a subject-specific basis, such as whether stiffness differs significantly between multiple material locations on the same vessel or whether stiffness differs significantly between multiple vessels at a corresponding material location. In the present study, we have integrated a novel uncertainty quantification and propagation pipeline within our inverse modeling approach, relying on empirical and analytic Bayesian techniques. To demonstrate the approach, we present illustrative results for the ascending thoracic aorta from three mouse models, quantifying uncertainties in constitutive model parameters as well as circumferential and axial tangent stiffness. Our extended workflow not only allows parameter uncertainties to be systematically reported, but also facilitates both subject-specific and group-level statistical analyses of the mechanics of the vessel wall.