Internal cohesion gradient as a novel mechanism of collective cell migration
Fig 7
Cluster speeds calculated from 100 simulations per parameter generated from stochasticity displacements of end agents only. Main plots show Standard Linear Solid (SLS), insets show Kelvin-Voigt (KV) model results. Violin plots show the distribution of all data point, and standard errors are shown for each parameter value. (a) Speed (unit distance relative to the radius of agents per computational timestep) vs cohesive gradient strength (the ratio of the strongest to weakest attraction in a linear gradient). Cluster speed grows from zero for gradient strength of 1 (equal leading and trailing cell cohesion), to an asymptote at large ratio. Cluster size = 5, protrusion amplitude = 0.5, protrusion period = 15. (b) Speed vs number of cells, N, in cluster produces a 1/N dependence as predicted by Eq. (6). Note N=2 has no gradient and migrates randomly. Gradient strength = 10, protrusion amplitude = 0.5, protrusion period = 15. (c) Speed vs protrusion amplitude (proportional to σ in Eq. (6)). Gradient strength = 10, cluster size = 5, protrusion period = 15. (d) Speed vs protrusion period of protrusion. Gradient strength = 10, cluster size = 5, protrusion amplitude = 0.5.