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

Victor Calo, N. F. Brasher, Y. Bazilevs, T. J.R. Hughes

Research output: Contribution to journalArticlepeer-review

42 Scopus citations

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 languageEnglish (US)
Pages (from-to)161-177
Number of pages17
JournalComputational Mechanics
Volume43
Issue number1
DOIs
StatePublished - Jan 1 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

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