15/05/2014, 15:00 — 16:00 — Sala P3.10, Pavilhão de Matemática
Jahed Naghipoor, CMUC, Universidade de Coimbra
A non-Fickian reaction diffusion equation for polymeric stent
embedded in the arterial wall
In recent years, mathematical modeling of cardiovascular drug
delivery systems has become an effective tool to gain deeper
insights in the cardiovascular diseases like atherosclerosis.. In
the case of coronary biodegradable stent which is a tiny expandable
biocompatible metallic mesh tube covered by biodegradable polymer,
it leads to a deeper understanding of the drug release mechanisms
from polymeric stent into the arterial wall. A coupled non-Fickian
model of a cardiovascular drug delivery system using a
biodegradable drug eluting stent is proposed in this talk. Energy
estimates are used to study the qualitative behavior of the model.
The numerical results are obtained using an IMEX finite element
method. The influence of arterial stiffness in the sorption of drug
eluted from the stent is analyzed. The results presented in this
talk open new perspectives to adapt the drug delivery profile to
the needs of the patient.
