Heat Equation Simulation of Disease Propagation in Human Organs with 2D and 3D Modeling
Document Type
Thesis
Degree Name
Master of Science (MS)
Department
Mathematics
Date of Award
5-22-2024
Abstract
This thesis presents heat distribution simulations within 2D and 3D domains to model disease propagation, correlating to disease spread in human organs. A 2D simulation sets the groundwork, which starts the simulation from heat source temperatures linked to their sizes, reflecting the varying intensity of disease spread from different-sized spots. Advancing to 3D, the model more accurately portrays disease dynamics, useful for understanding organ-specific pathologies, particularly within the lungs. Incorporating image function into the 2D heat equation allows for the simulation of color changes in the organ, pertinent to disease detection. This integration facilitates the modeling of disease spread over time, offering a tool for improved diagnostics and aiding clinical research. The thesis contributes to medical simulation advancements, enhancing comprehension of disease progression and provides a number of experimental results to validate the theoretical concepts.
Advisor
Nikolay Sirakov
Subject Categories
Mathematics | Physical Sciences and Mathematics
Recommended Citation
Ahiduzzaman, MD, "Heat Equation Simulation of Disease Propagation in Human Organs with 2D and 3D Modeling" (2024). Electronic Theses & Dissertations. 1167.
https://digitalcommons.tamuc.edu/etd/1167
