Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
MC 6460
Cameron Meaney | Applied Math, University of Waterloo
Mathematical Modelling of Cancer Treatments Involving Radiation Therapy and Hypoxia-Activated Prodrugs
Cancer is one of the world’s deadliest diseases despite immense investments into oncological research in recent years. Although great strides have been made in our understanding of cancer, much remains unknown regarding its genesis, progression, and optimal treatment. The benefits of mathematical modelling have been realized in many fields of science and oncology is no exception. Mathematical modelling has become increasingly popular in recent years and today, studies involving both biologists and mathematicians are rather commonplace. This thesis focuses on mathematical oncology, detailing three distinct research works involving the mathematical analysis of cancer. They specifically focus on modelling the applications of various treatment methods including external-beam radiation therapy, hypoxia-activated prodrugs, antiangiogenic agents, and drug-carrying nanocells. The mathematics involves partial differential equation models solved analytically and by using various computational methods. Altogether, the analyses herein show that mathematical modelling is an invaluable tool in oncology which will be a crucial part of future research.
Contact Info
Department of Applied Mathematics
University of Waterloo
Waterloo, Ontario
Canada N2L 3G1
Phone: 519-888-4567, ext. 32700
Fax: 519-746-4319
PDF files require Adobe Acrobat Reader
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is co-ordinated within the Office of Indigenous Relations.