Cellular Potts Model

Graner-Glazier · Differential Adhesion · Monte Carlo · Cell Sorting

Simulation

MCS: 0 | Cells: 0 | Sorted: —

CPM Parameters

H = Σ_{i,j}·J(σ_i,σ_j)·(1−δ_{σ_i,σ_j}) + λ·Σ_σ(A_σ−A_T)²
5
20
10
10
30
10

Interface Energy

Theory

CPM (Graner-Glazier 1992): generalized Ising
σ=0: medium, σ≥1: cell identity
J(type_a, type_b): contact energy matrix
Steinberg DAH (1962): cells sort by adhesion
High J_diff: types segregate (like oil+water)
Low J_diff: types mix freely
Effective surface tension γ = J − λ·∂A/∂P
Tissue surface tension measurable in vitro