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arXiv 1309.7875nlin.PSphysics.flu-dynq-bio.NC
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脑动脉瘤的涡旋动力学

Vortex Dynamics in Cerebral Aneurysms

Greg Byrne, Juan Cebral

摘要:

我们使用一个自主的三维动力学系统来研究嵌入式旋涡结构,观察到形成在计算流体动力学模拟患者特定的脑动脉瘤的几何形状。这些结构,描述了一个漩涡,这是封闭在一个更大的涡流在相反的方向流动,创建和破坏相空间的固定点经历鞍结分叉沿涡核线。我们说明了如何鞍结分叉沿涡核线也支配的形成和演变的嵌入式涡流在脑动脉瘤在心动周期的可变流入率。

英文摘要:

We use an autonomous three-dimensional dynamical system to study embedded vortex structures that are observed to form in computational fluid dynamic simulations of patient-specific cerebral aneurysm geometries. These structures, described by a vortex which is enclosed within a larger vortex flowing in the opposite direction, are created and destroyed in phase space as fixed points undergo saddle-node bifurcations along vortex core lines. We illustrate how saddle-node bifurcations along vortex core lines also govern the formation and evolution of embedded vortices in cerebral aneurysms under variable inflow rates during the cardiac cycle.

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