An explicit spectral collocation method for the drug release coronary stents

• Published in: Mathematical modelling and analysis Vol. 27; no. 3; pp. 452 - 470
• Main Authors: Fakhri, Somayeh, Momeni-Masuleh, Sayed Hodjatollah
• Format: Journal Article
• Language: English
• Published: Vilnius Vilnius Gediminas Technical University 01.08.2022
• Subjects: Analysis; Atherosclerosis; Cardiovascular diseases; Collocation methods; Development and progression; drug release; explicit method; Finite element analysis; Finite element method; Low density lipoproteins; Mathematical models; Methods; modified Euler method; Numerical analysis; One dimensional models; Partial differential equations; Polymers; spectral collocation method; Stability analysis; stent; Stent (Surgery); Stents; Tissues; stent; modified Euler method; spectral collocation method; explicit method; drug release
• ISSN: 1392-6292; 1648-3510; 1648-3510
• DOI: 10.3846/mma.2022.15066

This research aims to solve a comprehensive one-dimensional model of drug release from cardiovascular stents in which the drug binding is saturable and reversible. We used the Lagrange collocation method for space dimension and the modified Euler method for time discretization. The existence and uniqueness of the solution, are provided. The consistency, stability, and convergence analysis of the proposed scheme are provided, to show that numerical simulations are valid. Numerical results accurate enough and efficient just by using fewer mesh.