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Towards patient-speci�fic modelling of cerebral blood flow using lattice-Boltzmann methods

机译:使用格-玻耳兹曼方法进行脑血流的患者特定建模

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摘要

Patient-specifi�c Computational fluid dynamics (CFD) studies of cerebral blood flow haveudthe potential to help plan neurosurgery, but developing realistic simulation methods thatuddeliver results quickly enough presents a major challenge. The majority of CFD studiesudassume that the arterial walls are rigid. Since the lattice-Boltzmann method (LBM) isudcomputationally efficient on multicore machines, some methods for carrying out lattice-Boltzmann simulations of time-dependent fluid flow in elastic vessels are developed. They involve integrating the equations of motion for a number of points on the wall. Theudcalculations at every lattice site and point on the wall depend only on information fromudneighbouring lattice sites or wall points, so they are suitable for efficient computation on multicore machines.udThe �first method is suitable for three-dimensional axisymmetric vessels. The steady-stateudsolutions for the wall displacement and udflow �fields in a cylinder at realistic parameters forudcerebral blood udow agree closely with the analytical solutions. Compared to simulationsudwith rigid walls, simulations with elastic walls require 13% more computational e�ffort atudthe parameters chosen in this study.udA scheme is then developed for a more complex geometry in two dimensions, which appliesudthe full theory of linear elasticity. The steady-state wall pro�files obtained from simulationsudof a Starling resistor agree closely with those from existing computational studies. I �findudthat it is essential to change the lattice sites from solid to fluid and vice versa if the walludcrosses any of them during the simulation. Simple tests of the dynamics show that whenudthe mass of the wall is much greater than that of the udfluid, the period of oscillation of theudwall agrees within 7% of the expected period. This method could be extended to threeuddimensions for use in cerebral blood udow simulations.
机译:针对脑血流的患者特定计算流体动力学(CFD)研究具有帮助规划神经外科手术的潜力,但是开发现实的仿真方法以足够快地提供结果是一个重大挑战。大多数CFD研究都以为动脉壁是刚性的。由于晶格-玻尔兹曼方法(LBM)在多核计算机上的计算效率很高,因此开发了一些用于对弹性容器中随时间变化的流体进行晶格-玻尔兹曼模拟的方法。它们涉及对墙上的许多点的运动方程进行积分。 壁上每个晶格位置和点的计算仅取决于来自相邻晶格位置或壁点的信息,因此它们适用于在多核机器上进行高效计算。 ud第一种方法适用于三维轴对称容器。圆柱壁上的位移和 udflow场的稳态解在脑血的实际参数 udow 下与解析解非常吻合。与具有刚性壁的模拟相比,具有弹性壁的模拟需要在本研究中选择的参数上多13%的计算工作量。 ud然后针对二维更复杂的几何体开发了一种方案,这适用于整个理论线性弹性。从Starling电阻的仿真 ud获得的稳态壁轮廓与现有计算研究的轮廓非常吻合。我发现天如看'如果墙在模拟中穿过任何格子位置,都必须将格子位置从固体改变为流体,反之亦然。简单的动力学测试表明,当墙的质量远大于墙的质量时,墙的振动周期在预期周期的7%之内。该方法可以扩展到三维,用于脑血流模拟。

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    Doctors G.M.;

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  • 年度 2011
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  • 正文语种 eng
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