Date of Award
5-2025
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Reader/Committee Chair
Bronson Lim
Abstract
The detection, diagnosis, and treatment of cancer are the primary objectives of the field of mathematical oncology. Our goal is to examine the history of mathematical oncology by introducing the models that have influenced it. From this vantage point, we examine five primary models that focus on the progression of prostate cancer and the development of treatment protocols at different stages. The Ideta model will be further elaborated upon by examining the effects of androgen deprivation therapy and the addition of chemotherapy on growth dynamics. Finally, clinical data will be utilized to verify the Vollmer and Humphrey model’s findings. We will analyze a diverse array of variables from a longitudinal dataset that has been supplied to us by the National Cancer Institute. Our objective is to utilize Linear Discriminant Analysis to develop a predictive model and assess the accuracy of our predictions. Furthermore, we suggest that there are numerous unanswered questions that require further investigation in order to create a predictive model that can be applied in clinical settings.
Recommended Citation
Navarro, Walter, "An Exposition on Prostate Cancer Dynamics: A History and Exploration of Cancer Growth Models" (2025). Electronic Theses, Projects, and Dissertations. 2207.
https://scholarworks.lib.csusb.edu/etd/2207