Cellular Potts Model

Introduction This model shows the original cellular Potts model (a.k.a. Glazier-Graner model) of cell sorting based on the Steinberg’s differential adhesion hypothesis. Yellow cells engulf the red cells as a result of differential adhesion.

Just over 30 years ago, the cellular Potts model (CPM) was introduced to explain experimental observations of spontaneous cell sorting …

Simulations of four types of cells with different shapes to demonstrate how the combined target volume, surface area, and medium contact interaction determine the shape of the cell Introduction By setting the volume, surface, and length constraints, a CPM simulation can produce a variety of cell shapes.

Hybrid continuum-chemical and agent-based cell model Introduction The idea that the diffusion of extracellular signaling molecules sets up non-local cellular communications can also be used to simulate non-local forces using chemoattraction and repulsion.

An agent-based model where each cell’s position and velocity is tracked Introduction We expand our exploration of local and non-local models to the class of agent-based models. Description Instead of tracking continuous distributions of cell density, neural activity, or other properties that vary continuously across space, we adopt a different kind of modeling approach by tracking the trajectories and behavior of individual cells.

A simplified version of the Morpheus cell sorting example Introduction A simplified version of the Morpheus built-in example of M0021"cell sorting showing the effect of cell-cell and cell-medium contact energies on the tissue configuration.

Diffusion model with cells endowed with chemotactic ability Introduction Previously developed diffusion models can be used to model chemotaxis by adding cells endowed with chemotactic ability. Here, chemotaxis of a group of cells towards a chemical diffusing into the domain with a high level at the right boundary is demonstrated, as well as in a second model, Keller-Segel cells being the sources of their own attractant.

Time sequence showing the changing shape of a CPM cell Introduction Not all cell shapes are circular. In this example, a single cell undergoes a whole series of deformations resulting in the development of irregular cell shapes.

Unbiased and biased random walkers Introduction We can simulate the swimming motion of a cell, such as a bacterium, by interspersing short periods of directed motion with random turns or random scrambling of the cell’s velocity.

Two-parameter plane showing all possible regimes of behavior for a single CPM cell Introduction The idea is based on figure 3 in the referenced paper. Description But here, we use two dimensionless parameters: