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Analytical modeling of drug dynamics induced by eluting stents in the coronary multi-layered curved domain
- Source :
- Mathematical Biosciences. 267:79-96
- Publication Year :
- 2015
- Publisher :
- Elsevier BV, 2015.
-
Abstract
- Pharmacokinetics induced by drug eluting stents (DES) in coronary walls is modeled by means of a one-dimensional multi-layered model, accounting for vessel curvature and non-homogeneous properties of the arterial tissues. The model includes diffusion mechanisms, advection effects related to plasma filtration through the walls, and bio-chemical drug reactions. A non-classical Sturm-Liouville problem with discontinuous coefficients is derived, whose closed-form analytical solution is obtained via an eigenfunction expansion. Soundness and consistency of the proposed approach are shown by numerical computations based on possible clinical treatments involving both hydrophilic and hydrophobic drugs. The influence of the main model parameters on drug delivery mechanisms is analyzed, highlighting the effects induced by vessel curvature and yielding comparative indications and useful insights into the concurring mechanisms governing the pharmacokinetics.
- Subjects :
- Statistics and Probability
medicine.medical_specialty
Materials science
Advective–diffusive pharmacokinetics
Drug-eluting stents
Multi-layered porous media
Sturm–Liouville problem
Vessel curvature
Cardiovascular Agents
Coronary Artery Disease
Coronary Vessels
Humans
Hydrophobic and Hydrophilic Interactions
Mathematical Concepts
Models, Cardiovascular
Drug-Eluting Stents
Quantitative Biology::Tissues and Organs
Cardiovascular
Curvature
General Biochemistry, Genetics and Molecular Biology
Domain (mathematical analysis)
Pharmacokinetics
Models
medicine
Settore ICAR/08 - Scienza delle Costruzioni
Diffusion (business)
General Immunology and Microbiology
Applied Mathematics
Dynamics (mechanics)
General Medicine
Mechanics
Eigenfunction
Surgery
Modeling and Simulation
Drug delivery
Cardiovascular agent
General Agricultural and Biological Sciences
Subjects
Details
- ISSN :
- 00255564
- Volume :
- 267
- Database :
- OpenAIRE
- Journal :
- Mathematical Biosciences
- Accession number :
- edsair.doi.dedup.....32a2d9fa19ddb5f16fc7233f3b586736