Lattice

1D PDE Barkley Model

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.

Convert to 2D

Converting the model from the previous chapter into a 2D model is trivial in Morpheus. In the Space section, you only need to change the Size of the Lattice to e.

Convert to 3D

Now we finally arrive at the 3D model. As an example, we further develop the coupled PDE and CPM model with mechanical interaction. Similar to the 1D to 2D case, it is straighforward to extend the dimensionality to 3D.

Neighborhoods

“How are neighborhoods defined?” Types of Neighborhoods Types of neighborhood are used: Space → Lattice → Neighborhood: This is the default Neighborhood for the lattice. It ist used by the NeighborhoodReporter and fallback for all other Neighborhood definitions.