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Structural Adaptation in Normal and Cancerous Vasculature

In: Math Everywhere

Author

Listed:
  • Philip K. Maini

    (University of Oxford, Centre for Mathematical Biology, Mathematical Institute)

  • Tomás Alarcón

    (University College London, Bioinformatics Unit, Department of Computer Science)

  • Helen M. Byrne

    (University of Nottingham, Centre for Mathematical Medicine, School of Mathematical Sciences)

  • Markus R. Owen

    (University of Nottingham, Centre for Mathematical Medicine, School of Mathematical Sciences)

  • James Murphy

    (University of Nottingham, Centre for Mathematical Medicine, School of Mathematical Sciences)

Abstract

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.

Suggested Citation

  • Philip K. Maini & Tomás Alarcón & Helen M. Byrne & Markus R. Owen & James Murphy, 2007. "Structural Adaptation in Normal and Cancerous Vasculature," Springer Books, in: Giacomo Aletti & Alessandra Micheletti & Daniela Morale & Martin Burger (ed.), Math Everywhere, pages 165-178, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-44446-6_14
    DOI: 10.1007/978-3-540-44446-6_14
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