Cell migration is an adaptive process that depends on and responds to physical and
molecular triggers. Moving cells sense and respond to tissue mechanics and induce …

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 …

This monograph presents a general mathematical theory for biological growth. It provides
both a conceptual and a technical foundation for the understanding and analysis of …

We introduce an Active Vertex Model (AVM) for cell-resolution studies of the mechanics of
confluent epithelial tissues consisting of tens of thousands of cells, with a level of detail …

In this paper we present an overview of agent-based models that are used to simulate
mechanical and physiological phenomena in cells and tissues, and we discuss underlying …

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

Collective cell migration is fundamental throughout development and in many diseases.
Spatial confinement using micropatterns has been shown to promote collective cell …

Cancer is still one of the major causes of death worldwide. Even if its comprehension is
improving continuously, the complexity and heterogeneity of this group of diseases …

Mathematical modeling is an essential approach for the understanding of complex
multicellular behaviors in tissue morphogenesis. Here, we review the cellular Potts model …

Cell migration is central to the development and maintenance of multicellular organisms.
Fundamental understanding of cell migration can, for example, direct novel therapeutic …