Structural Adaptation in Normal and Cancerous Vasculature

  • Philip K. Maini
  • Tomás Alarcón
  • Helen M. Byrne
  • Markus R. Owen
  • James Murphy


The dynamics of cancerous tissue growth involves the complex interaction of a number of phenomena interacting over a range of temporal and spatial scales. While several processes involved have been studied, the adaptation of the vasculature within a growing tumour has thus far received little attention. We consider a hybrid cellular automaton model which analyses the interaction between the tumour vascular network and tissue growth. We compute the temporal behaviour of the cancerous cell population under different hypotheses of structural adaptation in the vasculature. This may provide a possible method of determining experimentally which adaptation mechanisms are at work.


Wall Shear Stress Tumour Vasculature Adaptation Mechanism Structural Adaptation Hypoxic Region 
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Copyright information

© Springer 2007

Authors and Affiliations

  • Philip K. Maini
    • 1
  • Tomás Alarcón
    • 2
  • Helen M. Byrne
    • 3
  • Markus R. Owen
    • 3
  • James Murphy
    • 3
  1. 1.Centre for Mathematical Biology, Mathematical InstituteUniversity of OxfordOxfordUK
  2. 2.Bioinformatics Unit, Department of Computer ScienceUniversity College LondonLondonUK
  3. 3.Centre for Mathematical Medicine, School of Mathematical SciencesUniversity of NottinghamNottinghamUK

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