Department of Vascular Surgery, Klinikum rechts der Isar, Technische Universität München, München, Germany.
J Vasc Surg. 2010 Mar;51(3):679-88. doi: 10.1016/j.jvs.2009.10.048.
In principle, superiority of computational wall stress analyses compared with the maximum diameter criterion for rupture risk evaluation of abdominal aortic aneurysm (AAA) has been demonstrated. The results of finite element analyses should be evaluated carefully, however, because computational strains and stresses are highly dependent on the quality and complexity of each step of AAA simulation. Most clinically active vascular specialists are not familiar with the processes of computational mechanics to evaluate the quality of AAA simulations. For better understanding and to provide insights in computational biomechanics of AAA, the effect of different computational model assumptions on the results of simulation are explained and demonstrated.
Four patients with asymptomatic (n = 3) and symptomatic (n = 1) infrarenal AAAs with distinctly different aneurysm morphologies were exemplarily studied. For segmentation and 3-dimensional (3D) reconstruction of AAA and thrombus, 3-mm computed tomography (CT) slices were used, and a high-density hexahedral element-dominated finite element mesh was generated. Subsequent AAAs were simulated on seven different levels, culminating in the most realistic ortho-pressure-finite element analyses simulations, including thrombus, wall calcifications, and prestress state of AAA geometry with nonlinear hyperelastic material and geometric model assumptions.
Alterations in displacements due to model assumptions are up to 740% for a specific aneurysm. The average maximum discrepancy among the four morphologies between simple and advanced models is 607%. Differences in peak wall stress between simple and realistic models are up to 210% individually and 170% on average.
Differences of model assumptions are more important for simulation results than differences between patient-specific morphologies. Because the biomechanical behavior of AAA is nonlinear in many senses, comparisons between individual morphologies and statistics are only valid when detailed information about preconditions and model assumptions is provided.
原则上,计算壁面应力分析优于最大直径标准,可用于评估腹主动脉瘤(AAA)的破裂风险。然而,由于计算应变和应力高度依赖于 AAA 模拟的每一步的质量和复杂性,因此需要仔细评估有限元分析的结果。大多数临床活跃的血管专家不熟悉计算力学过程,无法评估 AAA 模拟的质量。为了更好地理解 AAA 的计算生物力学,并提供相关见解,本文解释并演示了不同计算模型假设对模拟结果的影响。
以 4 名具有不同形态 AAA 的无症状(n = 3)和有症状(n = 1)患者为例进行研究。使用 3 毫米的 CT 切片对 AAA 和血栓进行分割和三维(3D)重建,并生成了一个高密度六面体单元主导的有限元网格。随后在七个不同级别上对 AAA 进行模拟,最终进行最真实的正交压力有限元分析模拟,包括血栓、壁钙化和 AAA 几何形状的预应力状态,使用非线性超弹性材料和几何模型假设。
由于模型假设的改变,特定动脉瘤的位移变化可达 740%。四种形态之间,简单模型和高级模型的平均最大差异为 607%。简单模型和真实模型之间的峰值壁应力差异个体差异最大可达 210%,平均差异可达 170%。
模型假设的差异对模拟结果的影响比患者特定形态的差异更为重要。由于 AAA 的生物力学行为在很多方面是非线性的,因此只有在提供详细的前提条件和模型假设信息的情况下,个体形态之间的比较和统计才具有有效性。