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ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES

N. BELLOMO

Department of Mathematics, Politecnico Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy

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N. K. LI

Centre for Mathematical Biology, Mathematical Institute, 24-29, St-Giles', Oxford, OX1 3LB, UK

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, and

P. K. MAINI

Centre for Mathematical Biology, Mathematical Institute, 24-29, St-Giles', Oxford, OX1 3LB, UK

Oxford Centre for Integrative Systems Biology, Department of Biochemistry, South Parks Road, Oxford, OX1 3QU, UK

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https://doi.org/10.1142/S0218202508002796Cited by:322 (Source: Crossref)

Abstract

This paper presents a critical review of selected topics related to the modelling of cancer onset, evolution and growth, with the aim of illustrating, to a wide applied mathematical readership, some of the novel mathematical problems in the field. This review attempts to capture, from the appropriate literature, the main issues involved in the modelling of phenomena related to cancer dynamics at all scales which characterise this highly complex system: from the molecular scale up to that of tissue. The last part of the paper discusses the challenge of developing a mathematical biological theory of tumour onset and evolution.

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