Integrated stent models based on dimension reduction: review and future perspectives

P Zunino, J Tambača, E Cutrì, S Čanić… - Annals of biomedical …, 2016 - Springer
Stent modeling represents a challenging task from both the theoretical and numerical
viewpoints, due to its multi-physics nature and to the complex geometrical configuration of …

Modeling arterial wall drug concentrations following the insertion of a drug-eluting stent

S McGinty, S McKee, RM Wadsworth… - SIAM Journal on Applied …, 2013 - SIAM
A mathematical model of a drug-eluting stent is proposed. The model considers a polymer
region, containing the drug initially, and a porous region, consisting of smooth muscle cells …

Drug delivery patterns for different stenting techniques in coronary bifurcations: a comparative computational study

E Cutrì, P Zunino, S Morlacchi, C Chiastra… - … and modeling in …, 2013 - Springer
The treatment of coronary bifurcation lesions represents a challenge for the interventional
cardiologists due to the lower rate of procedural success and the higher risk of restenosis …

[HTML][HTML] Analysis of a model for precipitation and dissolution coupled with a Darcy flux

A Agosti, L Formaggia, A Scotti - Journal of mathematical analysis and …, 2015 - Elsevier
In this paper we deal with the numerical analysis of an upscaled model of a reactive flow in a
porous medium, which describes the transport of solutes undergoing precipitation and …

On a vorticity-based formulation for reaction-diffusion-Brinkman systems

V Anaya, M Bendahmane, D Mora… - Networks and …, 2018 - aimsciences.org
We are interested in modelling the interaction of bacteria and certain nutrient concentration
within a porous medium admitting viscous flow. The governing equations in primal-mixed …

Model reduction strategies enable computational analysis of controlled drug release from cardiovascular stents

C D'Angelo, P Zunino, A Porpora, S Morlacchi… - SIAM Journal on Applied …, 2011 - SIAM
Medicated cardiovascular stents, also called drug eluting stents (DES), represent a relevant
application of controlled drug release mechanisms. Modeling of drug release from DES also …

On a moving boundary problem associated with the swelling drug release platforms

M Garshasbi, S Malek Bagomghaleh - International Journal of …, 2022 - Taylor & Francis
This paper studies a parabolic-type system of time-dependent partial differential equations
coupled with Robin boundary conditions to model the solvent penetration and subsequently …

Modelling chemistry and biology after implantation of a drug-eluting stent. Part I: Drug transport

T Vo, W Lee, A Peddle, M Meere - Mathematical Biosciences and …, 2017 - pure.hud.ac.uk
Drug-eluting stents have been used widely to prevent restenosis of arteries following
percutaneous balloon angioplasty. Mathematical modelling plays an important role in …

Numerical simulation of two phase mathematical model for transportation of mass and drug from drug eluting stents

A Ali, N Alias, W Al Rahmi - Mathematical Modelling of Natural …, 2017 - mmnp-journal.org
A two phase coupled mathematical model for investigating the drug release in drug eluting
stents is developed in this study. The release of drug in coating is modeled by the …

Drug delivery in biological tissues: a two-layer reaction-diffusion-convection model

S McGinty, G Pontrelli - Progress in Industrial Mathematics at ECMI 2014 …, 2016 - Springer
In this paper we present a general model of drug release from a delivery device and the
subsequent drug transport in biological tissue. Our model consists of a system of partial …