A Coupled Finite Element Model of Tumor Growth and Vascularization

  • Bryn A. Lloyd
  • Dominik Szczerba
  • Gábor Székely
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4792)


We present a model of solid tumor growth which can account for several stages of tumorigenesis, from the early avascular phase to the angiogenesis driven proliferation. The model combines several previously identified components in a consistent framework, including neoplastic tissue growth, blood and oxygen transport, and angiogenic sprouting. First experiments with the framework and comparisons with observations made on solid tumors in vivo illustrate the plausibility of the approach. Explanations of several experimental observations are naturally provided by the model. To the best of our knowledge this is the first report of a model coupling tumor growth and angiogenesis.


Vascular Endothelial Growth Factor Oxygen Partial Pressure Cellular Automaton Endothelial Cell Density Vascular Endothelial Growth Factor Isoforms 
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 2007

Authors and Affiliations

  • Bryn A. Lloyd
    • 1
  • Dominik Szczerba
    • 1
  • Gábor Székely
    • 1
  1. 1.Computer Vision Laboratory, ETH ZürichSwitzerland

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