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  • Mathematical and numerical analysis for PDE systems modeling intravascular drug release from arterial stents and transport in arterial tissue
Title: Mathematical and numerical analysis for PDE systems modeling intravascular drug release from arterial stents and transport in arterial tissue
This paper is concerned with the PDE (partial differential equation) and numerical analysis of a modified one-dimensional intravascular stent model. It is proved that the modified model has a unique weak solution by using the Galerkin method combined with a compactness argument. A semi-discrete finite-element method and a fully discrete scheme using the Euler time-stepping have been formulated for the PDE model. Optimal order error estimates in the energy norm are proved for both schemes. Numerical results are presented, along with comparisons between different decoupling strategies and time-stepping schemes. Lastly, extensions of the model and its PDE and numerical analysis results to the two-dimensional case are also briefly discussed.  more » « less
Award ID(s):
2309626
PAR ID:
10523287
Author(s) / Creator(s):
;
Publisher / Repository:
AIMS Press
Date Published:
Journal Name:
Mathematical Biosciences and Engineering
Volume:
21
Issue:
4
ISSN:
1551-0018
Page Range / eLocation ID:
5634 to 5657
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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