Cellular Potts Model

The Cellular Potts Model (Glazier-Graner 1992) simulates cell morphology via energy minimization. Each cell minimizes surface tension and volume deviation. Steinberg's differential adhesion hypothesis: cells sort by adhesion strength — high-affinity cells cluster together, exactly like immiscible liquids.

CPM PARAMETERS

Temperature (kT) 5 Type A-A adhesion 2 Type B-B adhesion 2 Type A-B adhesion (cross) 15 Volume constraint λ 0.5

MCS: 0

Science: Hamiltonian: H = ΣJ(τ,τ')(1-δ(σ,σ')) + Σλ(v-V₀)². Metropolis acceptance: ΔH<0 always accept; else p=exp(-ΔH/kT). High A-B adhesion → cells segregate. This models gastrulation, tumor invasion, and organoid formation.

CELLULAR POTTS MODEL

CPM PARAMETERS