• Login
    View Item 
    •   Mak IR Home
    • College of Natural Sciences (CoNAS)
    • School of Physical Sciences (Phys-Sciences)
    • School of Physical Sciences (Phys-Sciences) Collections
    • View Item
    •   Mak IR Home
    • College of Natural Sciences (CoNAS)
    • School of Physical Sciences (Phys-Sciences)
    • School of Physical Sciences (Phys-Sciences) Collections
    • View Item
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Brain tumor origin localization via iterative methods

    Thumbnail
    View/Open
    PhD thesis (2.169Mb)
    Date
    2023-08-15
    Author
    Ssebunjo, Wycliff
    Metadata
    Show full item record
    Abstract
    We study the brain tumor growth with and without treatment by using the commonly used mathematical PDE models of the Reaction-diffusion type. The models describe tumor cell density change over time due to cell proliferation, diffusion and applied treatment dose. We discuss the nonlinear conjugate gradient method for tumor origin localization and treatment parameter reconstruction based on mathematical models of the reaction diffusion type. In this approach, we recover the tumor source u (x, 0) = ϕ and then the treatment parameter α(x, t) given known later information obtained majorly from image scans. This work involves 3 dimensional simulations of the tumor in time on MRI-T1 weighted brain scan obtained from the Internet Brain Segmentation Repository (IBSR). The simulations are achieved using the standard finite difference discretisation of space and time derivatives. Synthetic images show accuracy of our approach in tumor source recovery and treatment parameter recovery.
    URI
    http://hdl.handle.net/10570/12092
    Collections
    • School of Physical Sciences (Phys-Sciences) Collections

    DSpace 5.8 copyright © Makerere University 
    Contact Us | Send Feedback
    Theme by 
    Atmire NV
     

     

    Browse

    All of Mak IRCommunities & CollectionsTitlesAuthorsBy AdvisorBy Issue DateSubjectsBy TypeThis CollectionTitlesAuthorsBy AdvisorBy Issue DateSubjectsBy Type

    My Account

    LoginRegister

    Statistics

    Most Popular ItemsStatistics by CountryMost Popular Authors

    DSpace 5.8 copyright © Makerere University 
    Contact Us | Send Feedback
    Theme by 
    Atmire NV