We discuss a computationally-efficient numerical Reduced Order Model (ROM) for patient-specific cerebral aneurysms, which can be used to examine the rupture-related hemodynamic parameters over a range of relevant physiological flow parameters, rapidly. The ROMs were derived using a Proper Orthogonal Decomposition (POD) technique, which also took advantage of the method of Snapshot POD. Initially a series of Computational Fluid Dynamics(CFD) training runs were performed, which were subsequently improved using a QR-decomposition technique to satisfy the various boundary conditions in physiological flow problems. We used the obtained ROMs to study the influence of Pulsatility Index (PI) on a patient-specific aneurysm's Wall Shear Stress (WSS) and Oscillatory Shear Index (OSI). In addition, we discuss how each of the obtained high-energy POD modes represents a separate significant flow pattern that is believed to influence the aneurysm's WSS and OSI.

中文翻译：

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一种针对患者的脑动脉瘤的降阶模型，用于快速评估和治疗计划。

我们讨论了一种针对患者特定的脑动脉瘤的高效计算的数字化降阶模型（ROM），该模型可用于在一系列相关生理流参数范围内快速检查与破裂相关的血液动力学参数。ROM是使用适当的正交分解（POD）技术导出的，该技术也利用了快照POD的方法。最初进行了一系列计算流体动力学（CFD）训练，随后使用QR分解技术对其进行了改进，以满足生理流动问题中的各种边界条件。我们使用获得的ROM来研究搏动指数（PI）对患者特定动脉瘤的壁切应力（WSS）和振荡剪切指数（OSI）的影响。此外，