Sökning: "Kristos Qiqi"

Hittade 2 uppsatser innehållade orden Kristos Qiqi.

1. 1. Image-driven simulation of brain tumors using a reaction-diffusion mathematical model

   Master-uppsats, Linköpings universitet/Avdelningen för medicinsk teknik

   Författare :Kristos Qiqi; [2023]
   Nyckelord :brain tumor; cancer; mathematical model; simulation; magnetic resonance images; hjärntumör; cancer; matematisk model; simulering; magnetresonanstomografi bilder;

   Sammanfattning : Brain tumors pose a big challenge in the field of neuro-oncology. Gliomas are the largest subgroup. Magnetic resonance imaging is a non-invasive tool for detecting and characterizing these tumors. Mathematical models, such as the reaction-diffusion equation, can be used for understanding the intricate behavior of gliomas. LÄS MER

3. 2. Finite Element Approximation of a Moving Boundary Problem Arising in the Modeling of the Spin Coating Process for Thin Films

   Kandidat-uppsats, Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

   Författare :Kristos Qiqi; [2020]
   Nyckelord :Moving boundary; FEM approximation; Navier-Stokes equations; Spin coating;

   Sammanfattning : Using the Navier-Stokes equations along with a continuity equation, a one-dimensional model is developed to describe the spin coating process of thin polymeric films. The resulting model is a system of a parabolic partial differential equation coupled with an integral equation as well as with an ordinary differential equation describing the motion of a moving boundary. LÄS MER