An implicit discontinuous Galerkin scheme for solving the cardiovascular drug-eluting stents' model
DOI10.11650/tjm/230402OpenAlexW4382341296MaRDI QIDQ6178590
Somayeh Fakhri, Sayed Hodjatollah Momeni-Masuleh
Publication date: 16 January 2024
Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11650/tjm/230402
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) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Physiological flows (76Z05) Physiological flow (92C35) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- On the role of specific drug binding in modelling arterial eluting stents
- Mathematical modeling of coupled drug and drug-encapsulated nanoparticle transport in patient-specific coronary artery walls
- Analytical and numerical study of a coupled cardiovascular drug delivery model
- The influence of atherosclerotic plaques on the pharmacokinetics of a drug eluted from bioabsorbable stents
- Numerical simulation of drug eluting coronary stents: mechanics, fluid dynamics and drug release
- 3D mathematical model for blood flow and non-Fickian mass transport by a coronary drug-eluting stent
- Mass diffusion through two-layer porous media: an application to the drug-eluting stent
- MODELING POLYMERIC CONTROLLED DRUG RELEASE AND TRANSPORT PHENOMENA IN THE ARTERIAL TISSUE
- Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations
- Implicit-Modal Discontinuous Galerkin Scheme for Two-Phase Flow with Discontinuous Capillary Pressure
- Spectral Methods
- AN EXPLICIT SPECTRAL COLLOCATION METHOD FOR THE DRUG RELEASE CORONARY STENTS
- Stabilised \(hp\)-finite element approximation of partial differential equations with nonnegative characteristic form
