A Next-Generation Mathematical Model for Drug-Eluting Stents

DOI10.1137/20M1365144zbMath1471.74055OpenAlexW3183346107MaRDI QIDQ5007129

Sunčica Čanić, Yi-Fan Wang, Martina Bukač

Publication date: 26 August 2021

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1365144

zbMATH Keywords

advection-reaction-diffusion equationfluid-poroelastic structure interactionmonolithic finite element schememoving domain problemNitsche penalization

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Finite element methods applied to problems in solid mechanics (74S05) Biomechanical solid mechanics (74L15) Finite element methods applied to problems in fluid mechanics (76M10) Physiological flows (76Z05) Diffusion and convection (76R99)

Related Items (3)

Analysis of a linearized poromechanics model for incompressible and nearly incompressible materials ⋮ Decoupled modified characteristics variational multiscale method for solving the blood solute dynamics model ⋮ Multilayered Poroelasticity Interacting with Stokes Flow

Cites Work

• Unnamed Item
• Unnamed Item
• Coupling Biot and Navier-Stokes equations for modelling fluid-poroelastic media interaction
• Numerical simulation of drug eluting coronary stents: mechanics, fluid dynamics and drug release
• Diffusion in poro-elastic media
• A Lagrange multiplier method for a Stokes-Biot fluid-poroelastic structure interaction model
• Partitioning strategies for the interaction of a fluid with a poroelastic material based on a Nitsche's coupling approach
• A stabilized mixed finite element method for Darcy flow
• Fluid-structure interaction between pulsatile blood flow and a curved stented coronary artery on a beating heart: a four stent computational study
• A loosely-coupled scheme for the interaction between a fluid, elastic structure and poroelastic material
• Robust numerical approximation of coupled Stokes' and Darcy's flows applied to vascular hemodynamics and biochemical transport
• Mathematical Modeling of Vascular Stents
• Model Reduction Strategies Enable Computational Analysis of Controlled Drug Release from Cardiovascular Stents
• An operator splitting approach for the interaction between a fluid and a multilayered poroelastic structure
• ON THE COUPLING OF 1D AND 3D DIFFUSION-REACTION EQUATIONS: APPLICATION TO TISSUE PERFUSION PROBLEMS
• Nitsche's method for interface problems in computa-tional mechanics
• On The Interface Boundary Condition of Beavers, Joseph, and Saffman
• A poroelastic fluid–structure interaction model of syringomyelia
• Dimensional model reduction for flow through fractures in poroelastic media

This page was built for publication: A Next-Generation Mathematical Model for Drug-Eluting Stents