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.
|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|
|Reuse Permissions||All Rights Reserved|
|Note||Doctoral Dissertation Applied Mathematics 2015|
|Collaborating Institutions||Graduate College / ASU Library|
|Additional Formats||MODS / OAI Dublin Core / RIS|