Numerical comparison of drug concentrations in different drug eluting stent designs using 2D models

master's thesis

• Author: Nikolina Meštrović
• Mentor: Josip Tambača (mentor)
• Committee member: Josip Tambača (član povjerenstva)
• Committee member: Miljenko Huzak (član povjerenstva)
• Committee member: Pavle Goldstein (član povjerenstva)
• Committee member: Vanja Wagner (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2025-03-12, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics; Applied Mathematics and Mathematical Modeling

Abstract

In this thesis, we develop a mathematical model for drug diffusion/dissolution in the coating of drug eluting stent (DES) and drug transport from DES into artery wall. We approximate parameters of the model for sirolimus eluting stent, combining the data for Cypher sirolimus eluting stent from in vivo and in vitro studies. We perform numerical simulations for 3 different drug eluting stent geometries, on a single cell, for a span of 7 days. All 3 cells feature geometries that differ in shape of stent scaffold, but with constant thickness of stent strut, and same initial concentration of same solid drug in the same durable polymer coating. We compare concentrations of dissolved drug and free receptors in the artery wall, and concentrations of solid and dissolved drug in the coating trough time, for different geometries. We conclude that geometry has major effect on distribution of concentration of drug in the artery wall and consequently important effect in distribution of concentration of free/bound receptors in the artery wall. We also notice differences in cumulative amount of solid drug that dissolved and cumulative amount of free and bound drug in the artery wall for different stent geometries. We posit that the effect stent geometry has on distribution of dissolved drug in the artery wall influences elution of drug from DES, resulting in differing elution profiles and length of drug elution from DES.

• Keywords: drug eluting stent; diffusion dissolution model; transport of drug into artery model; Higuchi's equation; sirolimus
• Language: english
• URN:NBN: urn:nbn:hr:217:060557
• Study programme: Title: Biomedical Mathematics; Study programme type: university; Study level: graduate; Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2025-02-28 07:28:50