Structural Adaptation in Normal and Cancerous Vasculature

Philip K. Maini (), Tomás Alarcón (), Helen M. Byrne (), Markus R. Owen () and James Murphy
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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

A chapter in Math Everywhere, 2007, pp 165-178 from Springer

Abstract: 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.

Keywords: Wall Shear Stress; Tumour Vasculature; Adaptation Mechanism; Structural Adaptation; Hypoxic Region (search for similar items in EconPapers)
Date: 2007
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DOI: 10.1007/978-3-540-44446-6_14

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