4 papers
Modelling bulk mechanical effects in a planar cellular monolayer
Natasha Cowley, Sarah Woolner, Oliver E. Jensen
We use a three-dimensional formulation of the cell vertex model to describe the mechanical properties of a confluent planar monolayer of prismatic cells. Treating cell height as a…
Spectral approaches to stress relaxation in epithelial monolayers
Natasha Cowley, Christopher K. Revell, Emma Johns +2
We investigate the viscoelastic relaxation to equilibrium of a disordered planar epithelium described using the cell vertex model. In its standard form, the model is formulated as…
Relaxation and noise-driven oscillations in a model of mitotic spindle dynamics
Dionn Hargreaves, Sarah Woolner, Oliver E. Jensen
During cell division, the mitotic spindle moves dynamically through the cell to position the chromosomes and determine the ultimate spatial position of the two daughter cells. Thes…
Force networks, torque balance and Airy stress in the planar vertex model of a confluent epithelium
Oliver E. Jensen, Emma Johns, Sarah Woolner
The vertex model is a popular framework for modelling tightly packed biological cells, such as confluent epithelia. Cells are described by convex polygons tiling the plane and thei…