BLOOD-FLOW MODELLING AND SIMULATIONS ALONG AND TROUGH A BRAIDED MULTI-LAYER METALLIC STENT

Using tools from asymptotic analysis for elliptic equations, we study in this work the hemodynamics in a stented artery connected either to a collateral artery or to an aneurysmal sac.
The blood flow is driven by a pressure drop. Our aim is to characterize the flow-rate and the pressure in the contiguous zone to the main artery: using boundary layer theory we construct a homogenized first order approximation with respect to epsilon, the size of the stent s wires.
In the collateral artery this gives the flow-rate. In the case of the aneurysm, it shows that:
i) the zeroth order term of the pressure in the sac equals the averaged pressure along the stent in the main artery,
ii) the presence of the stent inverses the rotation of the vortex.
We prove rigorously that our asymptotic approximation is first order accurate with respect to epsilon. We derive also new averaged implicit interface conditions that our approximation formally satisfies, generalizing our analysis to other possible geometrical configurations.
In the last part we provide numerical results that illustrate and validate the theoretical approach.

PS.:
For further details, please refer to the link.