Population

Derived from the seminal Hodgkin-Huxley and FitzHugh-Nagumo models, the Barkley model is probably the simplest continuous model for excitable media. It replaces the cubic term in the FitzHugh-Nagumo model with a piece-wise linear term as a simplification that enables fast simulation.

Introduction This example model cell fate decisions during early patterning of the pancreas (de Back et al., 2012). The simple gene regulatory network of each cell is coupled to adjacent cells by lateral (juxtacrine) signaling.

Let’s go through an example. We’ll construct a model in which an intracellular cell cycle network (ODE) regulates the division of motile cells which (CPM) release a diffusive cytokine (PDE) which, in turn, controls the cell cycle (ODE).

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.

Guidance-by-followers combined with one of several simple rule sets for integration of signals from multiple neighbors provides a robust mechanism for collective cell migration. Introduction Collective cell migration is an important process during biological development and tissue repair but may turn malignant during tumor invasion.

The migration of zebrafish polster cells is oriented by the migration of follower cells, allowing robust long-range coordination of different cell populations. Introduction Collective cell migration is an important process during biological development and tissue repair.