Ja. Glazier et F. Graner, SIMULATION OF THE DIFFERENTIAL ADHESION DRIVEN REARRANGEMENT OF BIOLOGICAL CELLS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 47(3), 1993, pp. 2128-2154
We show that differential adhesion with fluctuations is sufficient to
explain a wide variety of cell rearrangement, by using the extended la
rge-Q Potts model with differential adhesivity to simulate different b
iological phenomena. Different values of relative surface energies cor
respond to different biological cases, including complete and partial
cell sorting, checkerboard, position reversal, and dispersal. We exami
ne the convergence and temperature dependence of the simulation and di
stinguish spontaneous, neutral, and activated processes by performing
simulations at different temperatures. We discuss the biological and p
hysical implications of our quantitative results.