Controlled Release with Finite Dissolution Rate

DOI10.1137/100790288zbMath1232.35175OpenAlexW1997662382MaRDI QIDQ3093602

Paolo Zunino, Dario Pierotti, Gianmaria Verzini, Sara Minisini, Paolo Biscari

Publication date: 18 October 2011

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

Full work available at URL: https://doi.org/10.1137/100790288

zbMATH Keywords

stopping timenumerical simulationreaction-diffusion equationstwo-phase modelone space dimensionmedical applicationscoated stentNoyes-Whitney formula

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Asymptotic expansions of solutions to PDEs (35C20) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Traveling wave solutions (35C07)

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On a moving boundary problem associated with the swelling drug release platforms ⋮ Modelling chemistry and biology after implantation of a drug-eluting stent. Part I: drug transport ⋮ 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 ⋮ Analysis of a model for precipitation and dissolution coupled with a Darcy flux

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