MODELING POLYMERIC CONTROLLED DRUG RELEASE AND TRANSPORT PHENOMENA IN THE ARTERIAL TISSUE

DOI10.1142/S0218202510004787zbMath1201.92037MaRDI QIDQ3063643

Sara Minisini, Paolo Zunino, Luca Formaggia

Publication date: 15 December 2010

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

mass transfercoupling conditionsdrug dissolutiondrug eluting stentpolymer erosion

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Medical applications (general) (92C50)

Related Items (14)

On A Transient Nonlinear One-Dimensional Reaction-Diffusion Equation with A Point-Source Initial Condition ⋮ A conservative, positivity preserving scheme for reactive solute transport problems in moving domains ⋮ An implicit discontinuous Galerkin scheme for solving the cardiovascular drug-eluting stents' model ⋮ Multiscale Boundary Conditions for Drug Dissolution Applied to Coronary Stents ⋮ Analysis of an evolution problem for controlled drug release ⋮ Numerical Simulation of Two Phase Mathematical Model for Transportation of Mass and Drug from Drug Eluting Stents ⋮ On a vorticity-based formulation for reaction-diffusion-Brinkman systems ⋮ Unnamed Item ⋮ High resolution methods for scalar transport problems in compliant systems of arteries ⋮ A decade of modelling drug release from arterial stents ⋮ Analysis of a model for precipitation and dissolution coupled with a Darcy flux ⋮ A nonlinear mathematical model of drug delivery from polymeric matrix ⋮ 3D mathematical model for blood flow and non-Fickian mass transport by a coronary drug-eluting stent ⋮ Modeling and analysis of reactive solute transport in deformable channels with wall adsorption–desorption

Cites Work

• Unnamed Item
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• Positive solutions of quasilinear parabolic systems with nonlinear boundary conditions
• Moduli spaces and macromolecules
• Multiscale Boundary Conditions for Drug Release from Cardiovascular Stents
• Controlled Drug Release Asymptotics
• ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS

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