The Mathematical Institute, University of Oxford, Eprints Archive

Modelling aspects of vascular cancer development

Maini, P. K. and Alarcon, T. and Byrne, H. M. (2006) Modelling aspects of vascular cancer development. Proceedings of the International Symposium on Mathematical and Computational Biology, R.P. Mondaini and R. Dilao (eds), World Scientific . 1 -12.



The modelling of cancer provides an enormous mathematical challenge because of its inherent multi-scale nature. For example, in vascular tumours, nutrient is transported by the vascular system, which operates on a tissue level. However, it also affects processes occurring on the molecular level. Molecular and intra-cellular events in turn affect the vascular network and therefore the nutrient dynamics. Our approach is to model, using partial differential equations, processes on the tissue level, and couple these to the intra-cellular events (modelled by ordinary differential equations) via cells modelled as automaton units. Thus far, within this framework, we have investigated the effects on tumour cell dynamics of structural adaptation at the vessel level, have explored certain drug protocol treatments, and have modelled the cell cycle in order to account for the possible effects of p27 in hypoxia-induced quiescence in cancer cells. We briefly review these findings here.

Item Type:Article
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:328
Deposited By: Philip Maini
Deposited On:09 Nov 2006
Last Modified:29 May 2015 18:20

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