Abstract
Ruptured intracranial aneurysms are the leading cause of hemorrhagic strokes. Although intracranial aneurysms are prevalent in as much as 4% of the adult population, most aneurysms do not rupture, and their growth and risk of rupture remains difficult to predict. Previous studies have identified abnormal wall shear stress patterns and blood pressure spikes, both features of unstable flows, as key factors in aneurysm behavior. While computational fluid dynamics has been enlisted to help study risk of rupture, no consensus has been established on how to impose unstable flow conditions. Here, we use Reynolds-Orr instability analysis to calculate flow perturbations that are capable of inducing unstable flow in 3D arterial geometries with and without aneurysms. These perturbations lay the foundation for future wall shear stress studies by providing mathematically consistent conditions for time-dependent Navier-Stokes simulations.
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Contri, A., Taylor, C., Tso, J., Gjerde, I. (2023). Inducing Flow Instabilities in Aneurysm Geometries via the Reynolds-Orr Method. In: McCabe, K.J. (eds) Computational Physiology. Simula SpringerBriefs on Computing(), vol 13. Springer, Cham. https://doi.org/10.1007/978-3-031-25374-4_6
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DOI: https://doi.org/10.1007/978-3-031-25374-4_6
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