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

被引：21

作者：

Chauviere A.H. ^{[1
]}

Hatzikirou H. ^{[1
]}

Lowengrub J.S. ^{[2
,3
]}

Frieboes H.B. ^{[1
]}

Thompson A.M. ^{[4
,5
]}

Cristini V. ^{[1
,6
,7
]}

机构：

[1] School of Biomedical Informatics, University of Texas Health Science Center, Houston, TX 77030

[2] Department of Mathematics, University of California at Irvine, Irvine

[3] Department of Biomedical Engineering, University of California at Irvine, Irvine

[4] Department of Surgery and Molecular Oncology, Ninewells Hospital and Medical School

[5] Department of Surgical Oncology, M.D. Anderson Cancer Center, Houston 77030

[6] Department of Systems Biology, University of Texas, M. D. Anderson Cancer Center, Houston, TX

[7] Department of Biomedical Engineering, University of Texas, Austin, TX

来源：

Current Breast Cancer Reports | 2010年 / 2卷 / 3期

基金：

美国国家卫生研究院; 美国国家科学基金会;

关键词：

Breast cancer; Mathematics; Modeling; Multiscale; Oncology; Physics;

D O I：

10.1007/s12609-010-0020-6

中图分类号：

学科分类号：

摘要：

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. © The Author(s) 2010.

引用

页码：121 / 129

页数：8

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