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Permanent link (DOI): https://doi.org/10.7939/R36D5PK33

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Mathematical Modelling of Glioma Stem Cell Fractions After Irradiation Treatments Open Access

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Other title
Subject/Keyword
ordinary differential equations
glioblastoma multiforme
glioma stem cell
Type of item
Thesis
Degree grantor
University of Alberta
Author or creator
Veljee, Wafa S
Supervisor and department
Hillen, Thomas (Mathematics and Statistical Sciences)
Examining committee member and department
Wang, Hao (Mathematics and Statistical Sciences)
Safouhi, Hassan (Mathematics and Statistical Sciences)
Hillen, Thomas (Mathematics and Statistical Sciences)
De Vries, Gerda (Mathematics and Statistical Sciences)
Department
Department of Mathematical and Statistical Sciences
Specialization
Applied Mathematics
Date accepted
2014-09-22T13:27:15Z
Graduation date
2014-11
Degree
Master of Science
Degree level
Master's
Abstract
Glioblastoma Multiforme (GBM) is a grade IV brain tumour. It is the most common brain malignancy and is extremely aggressive. Ionizing radiation plays a vital role in the treatment of this tumour. Growth of the GBM is sustained by a subpopulation of the tumour cells often called the glioma stem cells (GSC). Kim et al. and Gao et al. presented in vitro and in silico data respectively where GSC population seemed unnaturally increased. We created four nested ODE models for GBM growth. Parameters were estimated from the available data using the least squares error method and the Akaike Information Criterion was used to choose a suitable model for tumour growth. The aspect of irradiation treatment was incorporated into the glioma growth model using the linear-quadratic model. My analysis on the treatment ODE model supports the findings of Gao et al. that the increased stem cell ratios can only be explained if the stem cell population divides more aggressively after radiotherapy.
Language
English
DOI
doi:10.7939/R36D5PK33
Rights
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
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File title: Abstract
File author: Wafa Veljee
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