This paper is an overview of known and new results about the coupling of Navier-Stokes
and Darcy equations to model the filtration of incompressible fluids through porous media …

A mathematical model is developed for the coupled analysis of the transport of
macromolecules, such as low-density lipoproteins (LDL), in the blood stream and in the …

In this work we introduce and discuss several mathematical models, based on partial
differential equations, devised to study the coupled transport of macromolecules as low …

The interaction between a fluid and a poroelastic structure is a complex problem that
couples the Navier–Stokes equations with the Biot system. The finite element approximation …

We consider a differential system based on the coupling of the Navier–Stokes and Darcy
equations for modeling the interaction between surface and porous-media flows. We …

This work aims at identifying and quantifying uncertainties from various sources in human
cardiovascular system based on stochastic simulation of a one‐dimensional arterial …

The scientific community continues to accrue evidence that blood flow alterations and
ischemic conditions in the retina play an important role in the pathogenesis of ocular …

Mechanical forces, such as low wall shear stress (WSS), are implicated in endothelial
dysfunction and atherogenesis. The accumulation of low density lipoprotein (LDL) and …

Modeling the filtration of incompressible fluids through porous media requires dealing with
different types of partial differential equations in the fluid and porous subregions of the …

The present study illustrates a possible methodology to investigate drug elution from an
expanded coronary stent. Models based on finite element method have been built including …