Graduation Semester and Year




Document Type


Degree Name

Master of Science in Aerospace Engineering


Mechanical and Aerospace Engineering

First Advisor

Brian Dennis


Finite Element solution for the multi-region bio-heat Equation is present to model magnetic fluid hyperthermia. This study solves the Penne's two dimensional bio-heat equation using finite element method and develops the thermal behavior of the tumor and healthyportion of the composite tissue using low curie nanoparticles.The inner cylinder represents the tumor tissue containing low Curie temperature nanoparticles. Low Curie temperature nanoparticles generate heat due to the Neel and Brownian relaxation when a magnetic field is applied. The outer cylinder represents the healthy tissue.First part of this thesis discusses about the background related to the nanoparticles heat dissipation and finite element procedure. Second part of thesis deals with the computer implementation of the finite element method. Last part discusses the numerical results of this thesis.Numerical results indicate that tumor region is heated without adversely affecting too much of the healthy region. Optimized distribution of the low curie nanoparticles in the tumor tissue can significantly control the temperature in tumor region in hyperthermia therapy.Different boundary conditions and different blood perfusion rates, irregular geometry have been taken into consideration in this thesis.


Aerospace Engineering | Engineering | Mechanical Engineering


Degree granted by The University of Texas at Arlington