Related Experiment Video
Updated: Mar 8, 2026

Quantification of Breast Cancer Cell Invasiveness Using a Three-dimensional 3D Model
Published on: June 11, 2014
Environmental factors in breast cancer invasion: a mathematical modelling review
Alex Simmons1, Pamela M Burrage1, Dan V Nicolau2
1School of Mathematical Sciences, and ARC Centre of Excellence for Mathematical and Statistical Frontiers, Queensland University of Technology, Gardens Point, Brisbane, Qld, Australia.
Abstract:
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.
More Related Videos
Related Concept Videos
The Tumor Microenvironment
Modeling with Differential Equations

