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arXiv 1901.05337physics.med-phphysics.app-phphysics.bio-ph
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左心室室壁应力和机械心脏功率的评估:有限元模拟与Laplace分析

Assessment of wall stresses and mechanical heart power in the left ventricle: Finite element modeling versus Laplace analysis

Matthias A. F. Gsell, Christoph M. Augustin, Anton J. Prassl, Elias Karabelas, Joao F. Fernandes, Marcus Kelm, Leonid Goubergrits, Titus Kuehne, Gernot Plank

摘要:

简介:狭窄性主动脉瓣疾病(AS)导致左心室(LV)压力超负荷,可能引发不良重塑并加速进展为心力衰竭(HF)。由于心肌能量学在AS期间可能受损,LV壁应力和生物力学功率提供了LV性能的补充视图,可能有助于更好地评估疾病状态。目的:使用LV的高分辨率电子机械(EM)模型作为参考,我们评价了临床上可行的基于拉普拉斯的方法,用于评估全球LV壁应力和生物力学功率。方法:我们使用N = 4的硅有限元(FE)EM模型的左室和主动脉的患者患有AS。所有模型均在治疗前条件下使用临床数据进行个性化。根据FE运动学数据准确计算LV壁应力和生物力学功率,并与应用于相同FE模型数据的基于拉普拉斯的估计方法进行比较。结果与结论:左心室壁应力的拉普拉斯估计能够提供左心室周向-纵向平面中的总体平均应力的粗略近似。然而,根据有限元结果,左心室壁的应力空间异质性显著,导致局部应力和整体平均应力之间存在较大差异。用拉普拉斯方法评估机械功率是可行的,但与有限元模型相比,这些方法的精度较差。只有基于患者特定的FE建模,才能准确评估LV壁中的应力和功率密度分布。

英文摘要:

Introduction: Stenotic aortic valve disease (AS) causes pressure overload of the left ventricle (LV) that may trigger adverse remodeling and precipitate progression towards heart failure (HF). As myocardial energetics can be impaired during AS, LV wall stresses and biomechanical power provide a complementary view of LV performance that may aide in better assessing the state of disease. Objectives: Using a high-resolution electro-mechanical (EM) in silico model of the LV as a reference, we evaluated clinically feasible Laplace-based methods for assessing global LV wall stresses and biomechanical power. Methods: We used N = 4 in silico finite element (FE) EM models of LV and aorta of patients suffering from AS. All models were personalized with clinical data under pre-treatment conditions. LV wall stresses and biomechanical power were computed accurately from FE kinematic data and compared to Laplace-based estimation methods which were applied to the same FE model data. Results and Conclusion: Laplace estimates of LV wall stress are able to provide a rough approximation of global mean stress in the circumferential-longitudinal plane of the LV. However, according to FE results spatial heterogeneity of stresses in the LV wall is significant, leading to major discrepancies between local stresses and global mean stress. Assessment of mechanical power with Laplace methods is feasible, but these are inferior in accuracy compared to FE models. The accurate assessment of stress and power density distribution in the LV wall is only feasible based on patient-specific FE modeling.

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