Blood-Flow Modelling Along and Trough a Braided Multi-Layer Metallic Stent - Mathematics > Analysis of PDEsReportar como inadecuado




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Abstract: In this work we study the hemodynamics in a stented artery connected eitherto a collateral artery or to an aneurysmal sac. The blood flow is driven by thepressure drop. Our aim is to characterize the flow-rate and the pressure in thecontiguous zone to the main artery: using boundary layer theory we construct ahomogenized first order approximation with respect to epsilon, the size of thestent-s wires. This provides an explicit expression of the velocity profilethrough and along the stent. The profile depends only on the input-outputpressure data of the problem and some homogenized constant quantities: it isexplicit. In the collateral artery this gives the flow-rate. In the case of theaneurysm, it shows that : i the zeroth order term of the pressure in the sacequals the averaged pressure along the stent in the main artery, ii thepresence of the stent inverses the rotation of the vortex. Extending the toolsset up in Bonnetier et al, Adv. Math. Fluids, 2009, Milisic, Meth. Apl. Ann.,2009 we prove rigorously that our asymptotic approximation is first orderaccurate with respect to . We derive then new implicit interface conditionsthat our approximation formally satisfies, generalizing our analysis to otherpossible geometrical configurations. In the last part we provide numericalresults that illustrate and validate the theoretical approach.



Autor: Vuk Milisic LJK, ICP

Fuente: https://arxiv.org/



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