The Mathematical Institute, University of Oxford, Eprints Archive

Tumour angiogenesis: The gap between theory and experiment

Schofield, J W and Gaffney, E. A. and Gatenby, R A and Maini, P. K. (2011) Tumour angiogenesis: The gap between theory and experiment. Journal of Theoretical Biology, 274 (1). pp. 97-102.



A common experimental technique for viewing in vivo angiogenesis utilises tumours implanted into a test animal cornea. The cornea is avascular but the tumour promotes vascularisation from the limbus and the new blood vessels can be readily observed through the transparent cornea. Many of the early mathematical models for tumour angiogenesis used this scenario as their experimental template and as such assumed that there is a large gap, of the order of 2 mm, between the tumour and neighbouring vasculature at the onset of angiogenesis. In this work we consider whether the assumption that there is a significant gap between the tumour and neighbouring vasculature is unique to intra-cornea tumour implants, or whether this characterises avascular tumour growth more generally. To do this we utilise a simple scaling argument, derive a multi-compartment model for tumour growth, and consider in vivo images. This analysis demonstrates that the corneal implant experiments and the corresponding mathematical models cannot generally be applied to a clinical setting.

Item Type:Article
Uncontrolled Keywords:Avascular; Spheroid; Modelling; Cornea
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:1050
Deposited By: Philip Maini
Deposited On:02 Mar 2011 08:10
Last Modified:29 May 2015 18:44

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