Neighborhoods

“How are neighborhoods defined?”

Types of Neighborhoods

Types of neighborhood are used:

  • SpaceLatticeNeighborhood: This is the default Neighborhood for the lattice. It ist used by the NeighborhoodReporter and fallback for all other Neighborhood definitions.
  • CPMMonteCarloSamplerNeighborhood: Updates for the CPM simulation are chosen from this Neighborhood.
  • CPMShapeSurfaceNeighborhood: Cell surface length and interface lengths of cell interactons are approximated using this kernel.

Order and Distance

The number of neighboring nodes to include can be specified in two different units.

Distance

All neighboring nodes of distance less or equal the given distane are included in the neighborhood.

Order

The “order” of a neighborhood is a measure of neighborhood size that expands in an alternating way axially and radially.

In a square lattice:

  • Order 1: 4-member, axial (von Neumann)
  • Order 2: 8-member, radial (Moore)
  • Order 3: 12-member, axial
Neighborhood orders 1-4 indicated by numbers around the focal node for a square and hexagonal lattice.
Neighborhood orders 1-4 indicated by numbers around the focal node for a square and hexagonal lattice.
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