Optimizacija debljina bridova Cypher stenta iz trodimenzionalne elastičnosti

master's thesis

• Title (english): Optimization of Cypher stent edge thickness from three-dimensional elasticity
• Author: Mirna Lovrić
• Mentor: Josip Tambača (mentor)
• Committee member: Josip Tambača (predsjednik povjerenstva)
• Committee member: Eduard Marušić-Paloka (član povjerenstva)
• Committee member: Aleksandra Čižmešija (član povjerenstva)
• Committee member: Ljiljana Arambašić (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2024-05-02, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

U ovom radu detaljnije smo objasnili ulogu stenta u medicini. Pri tome je posebna pažnja posvećena Cypher stentu. Zatim smo s matematičke strane opisali zadaću koja opisuje deformaciju i pomak stenta pri djelovanju sila, pri čemu stent nije nigdje učvršćen (pure traction zadaća). Pokazali smo na kojem prostoru funkcija rješenje problema postoji i da je jedinstveno. Konačno smo implementirali geometriju Cypher stenta i pure traction zadaću kada na stent djeluje sila tlaka iznutra te kada na njega djeluje bending sila koja ga savija. Pri tim zadaćama posebno smo promatrali podatljivost (eng. compliance) stenta s ciljem da to svojstvo minimiziramo kada na stent djeluje sila tlaka, odnosno da ga maksimiziramo kada na stent djeluje bending sila.

Abstract (english)

In this work, we have elaborated on the role of stents in medicine, with particular emphasis on the Cypher stent. Then, from a mathematical perspective, we described a task that would accurately depict the deformation and displacement of the stent under the influence of force, with the stent remaining unyielding (pure traction problem). We demonstrated the space of functions where a solution exist and be unique. Finally, we implemented the geometry of the Cypher stent and the pure traction task when the stent is subjected to internal pressure force and bending force that bends it. In these tasks, we specifically observed the compliance of the stent in order to minimize this property when pressure force acts on it and maximize it when bending force acts on it.

• Keywords: stent u medicini; pure traction zadaća; podatljivost stenta
• Language: croatian
• URN:NBN: urn:nbn:hr:217:077686
• Study programme: Title: Applied Mathematics; Study programme type: university; Study level: graduate; Academic / professional title: sveučilišni magistar matematike (sveučilišni magistar matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-05-21 12:48:14