Environmental factors in breast cancer invasion: a mathematical modelling review

详细信息    查看全文

• 作者：Alex Simmons¹ ; Pamela M. Burrage¹ ; Dan V. Nicolau Jr¹ ; ² ; ³ ; Sunil R. Lakhani⁴ ; Kevin Burrage¹ ; ⁵ ; ^{kevin.burrage@qut.edu.au}
• 关键词：Breast cancer ; mathematical modelling ; ductal carcinoma in situ ; mathematical oncology
• 刊名：Pathology
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：49
• 期：2
• 页码：172-180
• 全文大小：712 K
• 卷排序：49

文摘

This review presents a brief overview of breast cancer, focussing on its heterogeneity and the role of mathematical modelling and simulation in teasing apart the underlying biophysical processes. Following a brief overview of the main known pathophysiological features of ductal carcinoma, attention is paid to differential equation-based models (both deterministic and stochastic), agent-based modelling, multi-scale modelling, lattice-based models and image-driven modelling. A number of vignettes are presented where these modelling approaches have elucidated novel aspects of breast cancer dynamics, and we conclude by offering some perspectives on the role mathematical modelling can play in understanding breast cancer development, invasion and treatment therapies.