General patterns and asymptotic dose in the design of coated stents.
Stents are used in interventional cardiology to keep a diseased vessel open. New stents are coated with a medicinal agent to prevent early reclosure due to the proliferation of smooth muscle cells. It is recognised that it is the dose of the agent that effectively controls the growth. This paper focusses on the asymptotic behaviour of the dose for general families of coated stents under a fixed ratio between the coated region of the stent and the targeted region of the vessel and set therapeutic bounds on the dose. It generalises the results of Delfour, Garon and Longo for stents made of a sequence of thin equally spaced rings to stents with an arbitrary pattern. It gives the equation of the asymptotic dose for a normal tiling of the target region using the theory of tilings, patterns and motifs on a cylinder.
Bourgeois
Etienne
E
Departement de Mathematiques et de Statistique, Universite de Montreal, Montreal, Que, Canada.
Delfour
Michel C
MC
D001158:Arteries / Q000187:drug effects / Q000503:physiopathology* / Q000601:surgery; D001807:Blood Vessel Prosthesis / Q000009:adverse effects*; D020099:Coated Materials, Biocompatible / Q000008:administration & dosage*; D003198:Computer Simulation; D017076:Computer-Aided Design; D006083:Graft Occlusion, Vascular / Q000209:etiology / Q000503:physiopathology* / Q000517:prevention & control*; D006801:Humans; D008955:Models, Cardiovascular; D011474:Prosthesis Design; D015607:Stents / Q000009:adverse effects*
D020099:Coated Materials, Biocompatible