Flow diverter stents simulation with CFD: porous media modelling

Intracranial aneurysm treatment with flow diverters stent (FDs) is a minimally invasive approach for use in human patients. Because this treatment is strongly related to blood flow, flow simulation by CFD is an attractive method to study FDs. Such flow simulations generally define geometries of aneurysms and stents in the computation by creating calculation meshes in the fluid space. For the other hand, generating a mesh in porous media (PM) sometimes represents a smaller computational load than generating realistic stent geometries with CFD, particularly for the small gaps between stent struts. For this reason, PMs become attractive to simulate FDs. To find the proper parameters, we investigated Darcy-Forchheimer model for porous media. The model describes the relation between the pressure drop and flow velocity considering a viscous permeability (linear model's term), and an inertial permeability (quadratic model's term). Finally, two stage studies were performed. First, we verified flow model validity at different angles in known flow conditions. Second, model validation was checked for a channel with no-slip boundary conditions. Results indicate that resistance calculated according to model has a difference of less than 3.5 % which is appropriate to characterize the FDs.

[1]  Liliana Cesar,et al.  An Original Flow Diversion Device for the Treatment of Intracranial Aneurysms: Evaluation in the Rabbit Elastase-Induced Model , 2009, Stroke.

[2]  Hui Meng,et al.  Comparison of Two Stents in Modifying Cerebral Aneurysm Hemodynamics , 2008, Annals of Biomedical Engineering.

[3]  D. Nichols,et al.  Unruptured intracranial aneurysms: natural history, clinical outcome, and risks of surgical and endovascular treatment , 2003, The Lancet.

[4]  N. Stergiopulos,et al.  Intracranial Stents Being Modeled as a Porous Medium: Flow Simulation in Stented Cerebral Aneurysms , 2011, Annals of Biomedical Engineering.

[5]  Alejandro F. Frangi,et al.  Newtonian and non-Newtonian blood flow in coiled cerebral aneurysms. , 2013, Journal of biomechanics.

[6]  F. Mut,et al.  Association between hemodynamic conditions and occlusion times after flow diversion in cerebral aneurysms , 2014, Journal of NeuroInterventional Surgery.

[7]  Alejandro F. Frangi,et al.  Fast virtual deployment of self-expandable stents: Method and in vitro evaluation for intracranial aneurysmal stenting , 2012, Medical Image Anal..

[8]  Miguel A. Fernández,et al.  Numerical simulation of blood flows through a porous interface , 2008 .

[9]  Thomas Redel,et al.  Hemodynamics at the ostium of cerebral aneurysms with relation to post-treatment changes by a virtual flow diverter: A computational fluid dynamics study , 2013, 2013 35th Annual International Conference of the IEEE Engineering in Medicine and Biology Society (EMBC).

[10]  Alejandro F Frangi,et al.  Intra-Aneurysmal Pressure and Flow Changes Induced by Flow Diverters: Relation to Aneurysm Size and Shape , 2013, American Journal of Neuroradiology.

[11]  Adnan H Siddiqui,et al.  Computer modeling of deployment and mechanical expansion of neurovascular flow diverter in patient-specific intracranial aneurysms. , 2012, Journal of biomechanics.

[12]  A. Perwuelz,et al.  An Air Permeability Study of Anisotropic Glass Wool Fibrous Products , 2012, Transport in Porous Media.

[13]  Alejandro F. Frangi,et al.  Effect of coil surface area on the hemodynamics of a patient-specific intracranial aneurysm: A computational study , 2012, 2012 9th IEEE International Symposium on Biomedical Imaging (ISBI).