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Open Access 01-09-2010

Mathematical Oncology: How Are the Mathematical and Physical Sciences Contributing to the War on Breast Cancer?

Authors: Arnaud H. Chauviere, Haralampos Hatzikirou, John S. Lowengrub, Hermann B. Frieboes, Alastair M. Thompson, Vittorio Cristini

Published in: Current Breast Cancer Reports | Issue 3/2010

Abstract

Mathematical modeling has recently been added as a tool in the fight against cancer. The field of mathematical oncology has received great attention and increased enormously, but over-optimistic estimations about its ability have created unrealistic expectations. We present a critical appraisal of the current state of mathematical models of cancer. Although the field is still expanding and useful clinical applications may occur in the future, managing over-expectation requires the proposal of alternative directions for mathematical modeling. Here, we propose two main avenues for this modeling: 1) the identification of the elementary biophysical laws of cancer development, and 2) the development of a multiscale mathematical theory as the framework for models predictive of tumor growth. Finally, we suggest how these new directions could contribute to addressing the current challenges of understanding breast cancer growth and metastasis.

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Title: Mathematical Oncology: How Are the Mathematical and Physical Sciences Contributing to the War on Breast Cancer?
Authors: Arnaud H. Chauviere
Haralampos Hatzikirou
John S. Lowengrub
Hermann B. Frieboes
Alastair M. Thompson
Vittorio Cristini
Publication date: 01-09-2010
Publisher: Current Science Inc.
Published in: Current Breast Cancer Reports / Issue 3/2010
Print ISSN: 1943-4588
Electronic ISSN: 1943-4596
DOI: https://doi.org/10.1007/s12609-010-0020-6

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