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A Mathematical Journey of Cancer Growth

Abstract Cancer is a major health problem in the world today and is expected to become an even larger one in the future. Although cancer therapy has improved for many cancers in the last several decades, there is much room for further improvement. Mathematical modeling has the advantage of being able to test many theoretical therapies without having to perform clinical trials and experiments. Mathematical oncology will continue to be an important tool in the future regarding cancer therapies and management.

This dissertation is structured as a growing tumor. Chapters 2 and 3 consider spheroid models. These models are adept at describing 'early-time' tumors, before the tumor needs to co-opt blood vessels to continue sustained growth. I consi... (more)
Created Date 2016
Contributor Rutter, Erica Marie (Author) / Kuang, Yang (Advisor) / Kostelich, Eric J (Advisor) / Frakes, David (Committee member) / Gardner, Carl (Committee member) / Jackiewicz, Zdzislaw (Committee member) / Arizona State University (Publisher)
Subject Applied mathematics / Oncology / Cellular biology / Cancer / Mathematical Biology / Mathematical Modeling / Ordinary Differential Equation / Partial Differential Equation
Type Doctoral Dissertation
Extent 214 pages
Language English
Reuse Permissions All Rights Reserved
Note Doctoral Dissertation Applied Mathematics 2016
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS

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Description Dissertation/Thesis