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.

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Abstract
The modelling of cancer provides an enormous mathematical challenge because of its inherent multiscale 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 intracellular 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 intracellular 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 hypoxiainduced 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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