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

diplomski rad

• Autor: Nikolina Meštrović
• Mentor: Josip Tambača (mentor)
• Član povjerenstva: Josip Tambača (član povjerenstva)
• Član povjerenstva: Miljenko Huzak (član povjerenstva)
• Član povjerenstva: Pavle Goldstein (član povjerenstva)
• Član povjerenstva: Vanja Wagner (član povjerenstva)
• Ustanova koja je dodijelila akademski / stručni stupanj: Sveučilište u Zagrebu; Prirodoslovno-matematički fakultet; (Matematički odsjek); Zagreb
• Datum i država obrane: 2025-03-12, Hrvatska
• Znanstveno / umjetničko područje, polje i grana: PRIRODNE ZNANOSTI; Matematika; Primijenjena matematika i matematičko modeliranje

Sažetak

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.

• Ključne riječi: drug eluting stent; diffusion dissolution model; transport of drug into artery model; Higuchi's equation; sirolimus
• Jezik: engleski
• URN:NBN: urn:nbn:hr:217:060557
• Studijski program: Naziv: Biomedicinska matematika/Biomedical Mathematics; Vrsta studija: sveučilišni; Stupanj studija: diplomski; Akademski / stručni naziv: magistar/magistra matematike (mag. math.)
• Vrsta resursa: Tekst
• Način izrade datoteke: Izvorno digitalna
• Prava pristupa: Otvoreni pristup
• Datum i vrijeme pohrane: 2025-02-28 07:28:50