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    On the finite difference solutions for the recovery of Lame parameters of a linear elastic membrane

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    KincaidSpr07.pdf (227.6Kb)
    Date
    2007-05-01
    Author
    Kincaid, David
    Advisor(s)
    Elgindi, Mohamed
    Langer, Robert
    Metadata
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    Abstract
    In this project, we present the mathematical equation that governs the displacement of an isotropic membrane due to a traction force applied to a part of its boundary. This leads to a linear elliptic boundary value problem with two parameters representing the Lame moduli, which measure the elastic properties of the membrane. The Lame parameters are constants for homogeneous material but functions of the position otherwise. Since it is possible to measure interior displacements in human tissue (for example using ultrasound), and since cancerous tumors differ markedly in their elastic properties from healthy tissue, it may be possible to detect and locate tumors by solving the inverse problem for the Lame parameters. The objective of this project is to use the Matlab software to develop a numerical code for estimating the (non-constant) Lame moduli for a given traction force and given measurement of the membrane displacement. The numerical results obtained in this project will be compared to those previously obtained and, if possible, with experimental data.
    Subject
    Tumors--Diagnosis
    MATLAB
    Posters
    Permanent Link
    http://digital.library.wisc.edu/1793/23194
    Type
    Presentation
    Description
    Poster with text describing research conducted by David Kincaid advised by Mohamed Elgindi and Robert Langer.
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