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Applications of the Droop Cell Quota Model to Data Based Cancer Growth and Treatment Models

Abstract The phycologist, M. R. Droop, studied vitamin B12 limitation in the flagellate Monochrysis lutheri and concluded that its specific growth rate depended on the concentration of the vitamin within the cell; i.e. the cell quota of the vitamin B12. The Droop model provides a mathematical expression to link growth rate to the intracellular concentration of a limiting nutrient. Although the Droop model has been an important modeling tool in ecology, it has only recently been applied to study cancer biology. Cancer cells live in an ecological setting, interacting and competing with normal and other cancerous cells for nutrients and space, and evolving and adapting to their environment. Here, the Droop equation is used to model three cancers.

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Created Date 2015
Contributor Everett, Rebecca Anne (Author) / Kuang, Yang (Advisor) / Nagy, John (Committee member) / Milner, Fabio (Committee member) / Crook, Sharon (Committee member) / Jackiewicz, Zdzislaw (Committee member) / Arizona State University (Publisher)
Subject Applied mathematics / Biology / Oncology / androgen deprivation therapy / cancer model / chronic myeloid leukemia / Droop equation / ordinary differential equation / ovarian cancer
Type Doctoral Dissertation
Extent 114 pages
Language English
Reuse Permissions All Rights Reserved
Note Doctoral Dissertation Applied Mathematics 2015
Collaborating Institutions Graduate College / ASU Library
Additional Formats MODS / OAI Dublin Core / RIS

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Description Dissertation/Thesis