title: Analytical modeling of drug dynamics induced by eluting stents in the coronary multi-layered curved domain.
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.
authors.affiliation: Department of Civil Engineering and Computer Science Engineering (DICII), Università degli Studi di Roma "Tor Vergata", via del Politecnico 1, Rome 00133, Italy. Electronic address: derrico@ing.uniroma2.it.
authors.forename: Michele
authors.initials: M
authors.lastname: d'Errico
authors.affiliation: Department of Civil Engineering and Computer Science Engineering (DICII), Università degli Studi di Roma "Tor Vergata", via del Politecnico 1, Rome 00133, Italy. Electronic address: sammarco@ing.uniroma2.it.
authors.forename: Paolo
authors.initials: P
authors.lastname: Sammarco
authors.affiliation: Department of Civil Engineering and Computer Science Engineering (DICII), Università degli Studi di Roma "Tor Vergata", via del Politecnico 1, Rome 00133, Italy. Electronic address: vairo@ing.uniroma2.it.
authors.forename: Giuseppe
authors.initials: G
authors.lastname: Vairo
mesh_terms: D002317:Cardiovascular Agents / Q000737:chemistry / Q000493:pharmacokinetics; D003324:Coronary Artery Disease / Q000378:metabolism / Q000628:therapy; D003331:Coronary Vessels / Q000378:metabolism*; D054855:Drug-Eluting Stents / Q000706:statistics & numerical data; D006801:Humans; D057927:Hydrophobic and Hydrophilic Interactions; D055641:Mathematical Concepts; D008955:Models, Cardiovascular
chemical_list: D002317:Cardiovascular Agents
keywords: Advective–diffusive pharmacokinetics; Drug-eluting stents; Multi-layered porous media; Sturm–Liouville problem; Vessel curvature