Mathematical oncology: how are the mathematical and physical sciences contributing to the war on breast cancer?

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

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    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.
    Original languageEnglish
    Pages (from-to)121-129
    Number of pages9
    JournalCurrent Breast Cancer Reports
    Volume2
    Issue number3
    DOIs
    Publication statusPublished - 1 Sep 2010

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    Chauviere, A. H., Hatzikirou, H., Lowengrub, J. S., Frieboes, H. B., Thompson, A. M., & Cristini, V. (2010). Mathematical oncology: how are the mathematical and physical sciences contributing to the war on breast cancer? Current Breast Cancer Reports, 2(3), 121-129. https://doi.org/10.1007/s12609-010-0020-6