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Influence of inlet boundary conditions on the local haemodynamics of intracranial aneurysms

机译：入口边界条件对颅内动脉瘤局部血流动力学的影响

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Haemodynamics is believed to play an important role in the initiation, growth and rupture of intracranial aneurysms. In this context, computational haemodynamics has been extensively used in an effort to establish correlations between flow variables and clinical outcome. It is common practice in the application of Dirichlet boundary conditions at domain inlets to specify transient velocities as either a flat (plug) profile or a spatially developed profile based on Womersley's analytical solution. This paper provides comparative haemodynamics measures for three typical cerebral aneurysms.rnThree dimentional rotational angiography images of aneurysms at three common locations, viz. basilar artery tip, internal carotid artery and middle cerebral artery were obtained. The computational tools being developed in the European project @neurIST were used to reconstruct the fluid domains and solve the unsteady Navier-Stokes equations, using in turn Womersley and plug-flow inlet velocity profiles. The effects of these assumptions were analysed and compared in terms of relevant haemodynamic variables within the aneurismal sac. For the aneurysm at the basilar tip geometries with different extensions of the afferent vasculature were considered to study the plausibility of a fully-developed axial flow at the inlet boundaries.rnThe study shows that assumptions made on the velocity profile while specifying inlet boundary conditions have little influence on the local haemodynamics in the aneurysm, provided that a sufficient extension of the afferent vasculature is considered and that geometry is the primary determinant of the flow field within the aneurismal sac. For real geometries the Womersley profile is at best an unnecessary over-complication, and may even be worse than the plug profile in some anatomical locations (e.g. basilar confluence).
机译：血流动力学被认为在颅内动脉瘤的起始，生长和破裂中起重要作用。在这种情况下，计算血流动力学已广泛用于建立血流变量与临床结果之间的相关性。在域入口处应用Dirichlet边界条件是一种常见的做法，它根据Womersley的解析解决方案将瞬态速度指定为平坦（塞状）轮廓或空间展开轮廓。本文为三种典型的脑动脉瘤提供了比较的血液动力学测量方法。在三个常见的位置，即三个动脉瘤的三维旋转血管造影图像。获得基底动脉尖端，颈内动脉和大脑中动脉。欧洲项目@neurIST中正在开发的计算工具被用于重构流体域，并依次使用Womersley和塞流入口速度曲线来求解不稳定的Navier-Stokes方程。对这些假设的影响进行了分析，并根据动脉瘤囊内的相关血液动力学变量进行了比较。对于传入端脉管的不同延伸的基底尖端几何形状的动脉瘤，考虑了在入口边界处充分发育的轴向流的合理性。rn研究表明，在指定入口边界条件时对速度分布所作的假设很少对动脉瘤局部血流动力学的影响，前提是要考虑传入脉管系统的充分扩展，并且几何形状是动脉瘤囊内流场的主要决定因素。对于真实的几何形状，沃默斯利轮廓充其量是不必要的过度复杂化，甚至可能比某些解剖位置（例如基底汇合处）的插塞轮廓更糟。

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