Foutrakis G N, Yonas H, Sclabassi R J
Department of Neurological Surgery, University of Pittsburgh, PA, USA.
Neurol Res. 1997 Apr;19(2):174-86. doi: 10.1080/01616412.1997.11740793.
This paper presents an introduction to the use of finite element methods in the simulation and analysis of intracranial blood flow and lays the foundation for more detailed clinically oriented studies. An overview of finite element theory is provided and includes the formulation of both the continuous and discrete equations of viscous fluid flow. A discussion of appropriate assumptions and boundary conditions governing arterial blood flow is presented. Two-dimensional, rigid-walled models are developed for flow in a straight artery, a 90 degrees curved artery and a bifurcated artery. For each model, a description of the finite element mesh, numerical solution and computational results are presented. This paper is the first in a series which will detail computational analysis of the relationship between pressure, velocity development of intracranial aneurysms and therapeutic approaches to aneurysm management. The goals of this research are to investigate the fluid dynamics that arise as a result of pulsatile flow in the arteries of the circle of Willis, relate these hemodynamics to the formation of aneurysms, develop a computational understanding of the effects of various therapies on blood flow related to aneurysms, and to develop and utilize patient specific computer simulations for treatment planning.
本文介绍了有限元方法在颅内血流模拟与分析中的应用，为更详细的临床导向研究奠定了基础。提供了有限元理论的概述，包括粘性流体流动的连续方程和离散方程的公式化。讨论了控制动脉血流的适当假设和边界条件。针对直动脉、90度弯曲动脉和分叉动脉中的血流，开发了二维刚性壁模型。对于每个模型，都给出了有限元网格、数值解和计算结果的描述。本文是该系列的第一篇，后续将详细阐述颅内动脉瘤压力、速度发展以及动脉瘤治疗方法之间关系的计算分析。本研究的目标是研究 Willis 环动脉搏动性血流产生的流体动力学，将这些血流动力学与动脉瘤的形成联系起来，通过计算理解各种治疗方法对与动脉瘤相关血流的影响，并开发和利用患者特异性计算机模拟进行治疗规划。
