Extrapolating Tumor Invasion Margins for Physiologically Determined Radiotherapy Regions

  • Ender Konukoğlu
  • Olivier Clatz
  • Pierre-Yves Bondiau
  • Hervé Delingette
  • Nicholas Ayache
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4190)


In radiotherapy, the constant margin taken around the visible tumor is a very coarse approximation of the invasion margin of cancerous cells. In this article, a new formulation to estimate the invasion margin of a tumor by extrapolating low tumor densities in magnetic resonance images (MRIs) is proposed. The current imaging techniques are able to show parts of the tumor where cancerous cells are dense enough. However, tissue parts containing small number of tumor cells are not enhanced in images. We propose a way to estimate these parts using the tumor mass visible in the image. Our formulation is based on the Fisher-Kolmogorov Equation that is been widely used to model the growth of brain tumors. As a proof of concept, we show some promising preliminary results, which demonstrate the feasibility of the approach.


Travel Wave Solution Invasion Margin Front Shape Tumor Density Tumor Cell Density 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Ender Konukoğlu
    • 1
  • Olivier Clatz
    • 1
  • Pierre-Yves Bondiau
    • 2
  • Hervé Delingette
    • 1
  • Nicholas Ayache
    • 1
  1. 1.Asclepios Research ProjectINRIASophia AntipolisFrance
  2. 2.Centre Antoine LacassagneNiceFrance

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