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In a 2004 paper, John Nagy raised the possibility of the existence of a hypertumor \emph{i.e.}, a focus of aggressively reproducing parenchyma cells that invade part or all of a

In a 2004 paper, John Nagy raised the possibility of the existence of a hypertumor \emph{i.e.}, a focus of aggressively reproducing parenchyma cells that invade part or all of a tumor. His model used a system of nonlinear ordinary differential equations to find a suitable set of conditions for which these hypertumors exist. Here that model is expanded by transforming it into a system of nonlinear partial differential equations with diffusion, advection, and a free boundary condition to represent a radially symmetric tumor growth.

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    Date Created
    • 2014
    Resource Type
  • Text
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    • Partial requirement for: Ph.D., Arizona State University, 2014
      Note type
      thesis
    • Includes bibliographical references (p. 39-42)
      Note type
      bibliography
    • Field of study: Applied mathematics

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    by Roberto L. Alvarez

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