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Modeling the Treatment of Glioblastoma Multiforme and Cancer Stem Cells with Ordinary Differential Equations
Joint Authors
Abernathy, Kristen
Burke, Jeremy
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-01-18
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
Despite improvements in cancer therapy and treatments, tumor recurrence is a common event in cancer patients.
One explanation of recurrence is that cancer therapy focuses on treatment of tumor cells and does not eradicate cancer stem cells (CSCs).
CSCs are postulated to behave similar to normal stem cells in that their role is to maintain homeostasis.
That is, when the population of tumor cells is reduced or depleted by treatment, CSCs will repopulate the tumor, causing recurrence.
In this paper, we study the application of the CSC Hypothesis to the treatment of glioblastoma multiforme by immunotherapy.
We extend the work of Kogan et al.
(2008) to incorporate the dynamics of CSCs, prove the existence of a recurrence state, and provide an analysis of possible cancerous states and their dependence on treatment levels.
American Psychological Association (APA)
Abernathy, Kristen& Burke, Jeremy. 2016. Modeling the Treatment of Glioblastoma Multiforme and Cancer Stem Cells with Ordinary Differential Equations. Computational and Mathematical Methods in Medicine،Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1100058
Modern Language Association (MLA)
Abernathy, Kristen& Burke, Jeremy. Modeling the Treatment of Glioblastoma Multiforme and Cancer Stem Cells with Ordinary Differential Equations. Computational and Mathematical Methods in Medicine No. 2016 (2016), pp.1-11.
https://search.emarefa.net/detail/BIM-1100058
American Medical Association (AMA)
Abernathy, Kristen& Burke, Jeremy. Modeling the Treatment of Glioblastoma Multiforme and Cancer Stem Cells with Ordinary Differential Equations. Computational and Mathematical Methods in Medicine. 2016. Vol. 2016, no. 2016, pp.1-11.
https://search.emarefa.net/detail/BIM-1100058
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1100058