Abstract
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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 161-177 |
| Number of pages | 17 |
| Journal | Computational Mechanics |
| Volume | 43 |
| Issue number | 1 |
| DOIs | |
| State | Published - Dec 2008 |
Keywords
- Advection-diffusion equation
- Darcy flow
- Drug delivery
- Fluid-structure interaction
- Isogeometric analysis
- NURBS
- Navier-Stokes equations
- Poroelasticity
ASJC Scopus subject areas
- Computational Mechanics
- Ocean Engineering
- Mechanical Engineering
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics