Cancer biology involves complex, dynamic interactions between cancer cells and their
tissue microenvironments. Single-cell effects are critical drivers of clinical progression …

In this article, we review physics-based models of collective cell motility. We discuss a range
of techniques at different scales, ranging from models that represent cells as simple self …

In this chapter we have presented mathematical modeling approaches to biological pattern
formation. While reaction-diffusion models are appropriate to describe the spatio-temporal …

Communities of epithelial cells communicate through intercellular interactions, allowing
them to coordinate their motility, which plays a key role in homeostasis, morphogenesis and …

Agent-based models (ABMs) have enabled great advances in the study of tumor
development and therapeutic response, allowing researchers to explore the spatiotemporal …

Biological materials such as extracellular matrix scaffolds, cancer cells, and tissues are often
assumed to respond elastically for simplicity; the viscoelastic response is quite commonly …

Computational models can be applied to optimize treatment schedules and model treatment
responses in cancer therapy. In this Review, we provide an overview of such computational …

Wnt signaling regulates cell proliferation and cell differentiation as well as migration and
polarity during development. However, it is still unclear how the Wnt ligand distribution is …

Motivation Due to the complexity and heterogeneity of multicellular biological systems,
mathematical models that take into account cell signalling, cell population behaviour and the …

In this work, we show how the mechanical properties of the cellular microenvironment
modulate the growth of tumour spheroids. Based on the composition of the extracellular …