The Mathematical Institute, University of Oxford, Eprints Archive

Modelling aspects of cancer dynamics: a review

Byrne, H. M. and Alarcon, T. and Owen, M. R. and Webb, S. D. and Maini, P. K. (2006) Modelling aspects of cancer dynamics: a review. Philosophical Transactions of the Royal Society A, 364 (1843). pp. 1563-1578.

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Abstract

Cancer is a complex disease in which a variety of factors interact over a wide range of spatial and temporal scales with huge datasets relating to the different scales available. However, these data do not always reveal the mechanisms underpinning the observed phenomena. In this paper, we explain why mathematics is a powerful tool for interpreting such data by presenting case studies that illustrate the types of insight that realistic theoretical models of solid tumour growth may yield. These range from discriminating between competing hypotheses for the formation of collagenous capsules associated with benign tumours to predicting the most likely stimulus for protease production in early breast cancer. We will also illustrate the benefits that may result when experimentalists and theoreticians collaborate by considering a novel anti-cancer therapy.

Item Type:Article
Uncontrolled Keywords:solid tumour growth, mathematical modelling, cancer, differential equations
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:325
Deposited By:Philip Maini
Deposited On:08 Nov 2006
Last Modified:20 Jul 2009 14:20

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