With computation models playing an ever increasing role in the advancement of science, it is
important that researchers understand what it means to model something; recognize the …

We review recent evidence showing that cell and tissue dynamics are governed by
mesoscale physical principles. These principles can be understood in terms of simple state …

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 analyze the mechanical properties of three epithelial/mesenchymal cell lines (MCF-10A,
MDA-MB-231, MDA-MB-436) that exhibit a shift in E-, N-and P-cadherin levels characteristic …

The well-known phenomena of Plateau–Rayleigh instability has been simulated using
computational fluid dynamics (CFD). The breakup of a liquid film into an array of droplets on …

During morphogenesis, various cellular activities are spatiotemporally coordinated on the
protein regulatory background to construct the complicated, three-dimensional (3D) …

An important open question in the modeling of biological tissues is how to identify the right
scale for coarse-graining, or equivalently, the right number of degrees of freedom. For …

Cell-based, mathematical models help make sense of morphogenesis—ie cells organizing
into shape and pattern—by capturing cell behavior in simple, purely descriptive models. Cell …

The mechanism of how organ shape emerges and specifies cell fate is not understood.
Pancreatic duct and endocrine lineages arise in a spatially distinct domain from the acinar …

Although the importance of cellular forces to a wide range of embryogenesis and disease
processes is widely recognized, measuring these forces is challenging, especially in three …