The Mathematical Institute, University of Oxford, Eprints Archive

Breast Cancer: Modelling and Detection

Gavaghan, D. J. and Brady, J. M. and Behrenbruch, C. P. and Highnam, R. P. and Maini, P. K. (2002) Breast Cancer: Modelling and Detection. Journal of Theoretical Medicine, 4 (1). pp. 3-20.



This paper reviews a number of the mathematical models used in cancer modelling and then chooses a specific cancer, breast carcinoma, to illustrate how the modelling can be used in aiding detection. We then discuss mathematical models that underpin mammographic image analysis, which complements models of tumour growth and facilitates diagnosis and treatment of cancer. Mammographic images are notoriously difficult to interpret, and we give an overview of the primary image enhancement technologies that have been introduced, before focusing on a more detailed description of some of our own recent work on the use of physics-based modelling in mammography. This theoretical approach to image analysis yields a wealth of information that could be incorporated into the mathematical models, and we conclude by describing how current mathematical models might be enhanced by use of this information, and how these models in turn will help to meet some of the major challenges in cancer detection.

Item Type:Article
Uncontrolled Keywords:Breast Cancer, Tumour, Image Processing, Mathematical Models
Subjects:A - C > Biology and other natural sciences
Research Groups:Centre for Mathematical Biology
ID Code:398
Deposited By: Philip Maini
Deposited On:20 Nov 2006
Last Modified:29 May 2015 18:21

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