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Volume Distributions of Metastatic Brain Tumors


Abstract Magnetic resonance imaging (MRI) data of metastatic brain cancer patients at the Barrow Neurological Institute sparked interest in the radiology department due to the possibility that tumor size distributions might mimic a power law or an exponential distribution. In order to consider the question regarding the growth trends of metastatic brain tumors, this thesis analyzes the volume measurements of the tumor sizes from the BNI data and attempts to explain such size distributions through mathematical models. More specifically, a basic stochastic cellular automaton model is used and has three-dimensional results that show similar size distributions of those of the BNI data. Results of the models are investigated using the likelihood ratio te... (more)
Created Date 2018-12
Contributor Freed, Rebecca (Co-Author) / Snopko, Morgan (Co-Author) / Kostelich, Eric (Thesis Director) / Kuang, Yang (Committee Member) / WPC Graduate Programs / School of Accountancy / School of Mathematical and Statistical Sciences / Barrett, The Honors College
Subject Cancer / Mathematical Analysis / Metastatic Brain Tumors
Series Academic Year 2018-2019
Type Text
Extent 48 pages
Language English
Copyright
Collaborating Institutions Barrett, the Honors College
Additional Formats MODS / OAI Dublin Core / RIS


  Freed_B_Snopko_M_Fall_2018.pdf
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