The Mathematical Institute, University of Oxford, Eprints Archive

Modelling aspects of solid cancer growth

Maini, P. K. (2008) Modelling aspects of solid cancer growth. Comparative Biochemistry and Physiology, 50 (3). S47.



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 affects processes occurring on a molecular level. Molecular and intra-cellular events in turn effect the vascular network and therefore the nutrient dynamics. Our modelling approach is to model, using partial differential equations, processes on the tissue level and couple these to the intercellular events (modelled by ordinary differential equations) via cells modelled as automaton units. Thusfar, within this framework we have modelled structural adaptation at the vessel level and the effects of growth factor production in response to hypoxia. We have also investigated the effects of acid production, mutation and phenotypic evolution driven by tissue environment. These results will be presented.

Item Type:Article
Additional Information:n/a
Uncontrolled Keywords:n/a
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:719
Deposited By: Philip Maini
Deposited On:17 Jul 2008
Last Modified:29 May 2015 18:27

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