The goal of this research is to study tissue growth via developing mathematical formulations and computational modeling. Tissue growth modeling has many applications --- including tumor growth, wound healing, bone remodeling, epithelial tissue remodeling, and other problems in developmental biology. Key to this study is incorporating the results of the analysis of non-destructive medical images that augment the models. Quantitative image analysis for the purpose of providing input parameters for and validation of tumor growth models (TGMs) is discussed. Two types of computational TGMs are studied in detail: one is based on the logistic equation, the other is based on the theory of porous media, or mixture theory. For the mixture-based model, we developed an algorithm that couples a level set method to track tumor boundaries while the tissues themselves are treated as a perfused mixture. After the mathematical foundation of each of the TGMs is formulated, we discuss implementation aspects, along with computational results. Finally, we validate the computational results with experimental observations of tumor volume versus time via imaging data acquired from animal models. The RMS deviation between predicted and observed values is as close as 11\% of the time-averaged volume.
|Commitee:||Finol, Ender, Lancaster, Jack, Natarajan, Mohan|
|School:||The University of Texas at San Antonio|
|School Location:||United States -- Texas|
|Source:||MAI 52/04M(E), Masters Abstracts International|
|Subjects:||Biomedical engineering, Medical imaging, Biomechanics|
|Keywords:||Computational tumor growth|
Copyright in each Dissertation and Thesis is retained by the author. All Rights Reserved
The supplemental file or files you are about to download were provided to ProQuest by the author as part of a
dissertation or thesis. The supplemental files are provided "AS IS" without warranty. ProQuest is not responsible for the
content, format or impact on the supplemental file(s) on our system. in some cases, the file type may be unknown or
may be a .exe file. We recommend caution as you open such files.
Copyright of the original materials contained in the supplemental file is retained by the author and your access to the
supplemental files is subject to the ProQuest Terms and Conditions of use.
Depending on the size of the file(s) you are downloading, the system may take some time to download them. Please be