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The Cellular Potts Model (CPM) is a lattice based modeling technique which iswidely used for simulating cellular patterns such as foams or biologicaltissues. Despite its realism and generality, the standard Monte Carlo algorithmused in the scientific literature to evolve this model preserves connectivityof cells on a limited range of simulation temperature only. We present a newalgorithm in which cell fragmentation is forbidden for all simulationtemperatures. This allows to significantly enhance realism of the simulatedpatterns. It also increases the computational efficiency compared with thestandard CPM algorithm even at same simulation temperature, thanks to the timespared in not doing unrealistic moves. Moreover, our algorithm restores thedetailed balance equation, ensuring that the long-term stage is independent ofthe chosen acceptance rate and chosen path in the temperature space.

An efficient Cellular Potts Model algorithm that forbids cell fragmentation