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Finite Element Modeling of the Circle of Willis from Magnetic Resonance Data

机译:基于磁共振数据的威利斯圆的有限元建模

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摘要

This paper presents a methodology to construct realistic patient-specific computational fluid dynamics models of the circle of Willis (CoW) using magnetic resonance angiography (MRA) data. Anatomical models are reconstructed from MRA images using tubular deformable models along each arterial segment and a surface-merging algorithm. The resulting models are smoothed and used to generate finite element (FE) grids. The incompressible Navier-Stokes equations are solved using a stabilized FE formulation. Physiologic flow conditions are derived from phase-contrast MR velocity measurements. The methodology was tested on image data of a normal volunteer. A pulsatile flow solution was obtained. Measured flow rates were prescribed in the internal carotid arteries, vertebral arteries, middle cerebral arteries and anterior cerebral arteries. Pressure boundary conditions were imposed in the posterior cerebral arteries. Visualizations of the complex flow patterns and wall shear stress distributions were produced. Potential applications of these FE models include: study the role of the communicating arteries during arterial occlusions and after endovascular interventions, calculate transport of drugs, evaluate accuracy of 1D flow models, and evaluate vascular bed models used to impose boundary conditions when flow data is unavailable or incomplete.
机译:本文提出了一种使用磁共振血管造影(MRA)数据构建威利斯圆(CoW)的现实的,针对患者的计算流体动力学模型的方法。使用沿每个动脉段的管状可变形模型和表面合并算法,从MRA图像中重建解剖模型。生成的模型经过平滑处理,并用于生成有限元(FE)网格。使用稳定的FE公式求解不可压缩的Navier-Stokes方程。生理流动条件是从相差MR速度测量得出的。该方法已在正常志愿者的图像数据上进行了测试。获得脉动流溶液。在颈内动脉,椎动脉,大脑中动脉和大脑前动脉中规定了测得的流速。在后脑动脉施加压力边界条件。可视化了复杂的流动模式和壁面剪应力分布。这些有限元模型的潜在应用包括:研究动脉阻塞期间和血管内干预后沟通动脉的作用,计算药物的运输,评估一维血流模型的准确性,以及在无法获得血流数据时评估用于施加边界条件的血管床模型或不完整。

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