Mathematical models are increasingly being developed and calibrated in tandem with data
collection, empowering scientists to intervene in real time based on quantitative model …

Mathematical modeling has a long history in the field of cancer therapeutics, and there is
increasing recognition that it can help uncover the mechanisms that underlie tumor …

Cancer is a complex disease that involves multiple types of biological interactions across
diverse physical, temporal, and biological scales. This complexity presents substantial …

Systematic perturbation of cells followed by comprehensive measurements of molecular and
phenotypic responses provides an informative data resource for constructing computational …

Hierarchical modelling is essential to achieving complex, large-scale models. However, not
all modelling schemes support hierarchical composition, and correctly mapping points of …

Macklin et al.,(2012) recently introduced a mechanistic agent-based cell model, with
application to ductal carcinoma in situ (DCIS)—a precursor to invasive breast cancer. The …

Systems in nature capable of collective behaviour are nonlinear, operating across several
scales. Yet our ability to account for their collective dynamics differs in physics, chemistry …

Biological processes involve a variety of spatial and temporal scales. A holistic
understanding of many biological processes therefore requires multi-scale models which …

Dynamical systems in most scientific areas can be modelled using ordinary differential
equations or difference equations. However, when analysing and simulating real-world …

Interpreting data using mechanistic mathematical models provides a foundation for
discovery and decision-making in all areas of science and engineering. Key steps in using …