Multiphysics model for blood flow and drug transport with application to patient-specific coronary artery flow

A multiphysics mathematical model to simulate drug delivery in idealized and patient-specific coronary arteries is presented. Blood is modeled as an incompressible Navier-Stokes fluid, the arterial wall as a linear poroelastic medium, and the drug transport is described by a scalar advection-diffusion equation. The drug compound is released into the bloodstream, carried by the flow, deposited onto the endothelium, penetrates into the wall, and is transported within the arterial wall. NURBS-based isogeometric analysis is employed to describe the geometry and discretize the fluid-solid interaction equations.