Physical Review Letters · 2015 · 125 citations · 35 references
Natural SciencesBiophysicsCell BiologyCell BiophysicsComplex SystemsPattern FormationCell MigrationCell Migration MechanicsCell OrganizationCell Population DynamicsVortex DynamicsCell Migration DynamicsCoherent VorticesCollective Cell MigrationFinite-size ScalingLocal Interaction RulesPolarizationPotts ModelVortex Formation
The spontaneous formation of vortices is a hallmark of collective cellular activity. Here, we study the onset and persistence of coherent angular motion as a function of the number of cells N confined in circular micropatterns. We find that the persistence of coherent angular motion increases with N but exhibits a pronounced discontinuity accompanied by a geometric rearrangement of cells to a configuration containing a central cell. Computer simulations based on a generalized Potts model reproduce the emergence of vortex states and show in agreement with experiment that their stability depends on the interplay of the spatial arrangement and internal polarization of neighboring cells. Hence, the distinct migrational states in finite size ensembles reveal significant insight into the local interaction rules guiding collective migration.
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