Fig. 6: Motility-induced mixing transition for different growth rates.
From: Motility-induced mixing transition in exponentially growing multicellular spheroids
a Profiles of the average active velocity analogous to the corresponding yellow line in Fig. 5d for different bulk doubling rates α. b Contour lines representing the lag time (here scaled with α, such that one time unit corresponds to one true generation at the respective doubling rate) necessary to reach mixing efficiency ηM = 1/2, analogous to Fig. 4d, but in terms of \({\bar{v}}_{{{{\rm{a}}}}}\), for different bulk doubling rates α. Dots at the top indicate the critical active velocity \({\bar{v}}_{{{\mbox{a}}},\infty }\) at which the mixing time diverges, obtained from shifted hyperbola fits. c Critical active velocity \({\bar{v}}_{{{\mbox{a}}},\infty }\) from panel (b) as a function of the bulk doubling rate α (circles), compared to the minimum active velocity \({\bar{v}}_{{{\mbox{a}}},{{\mbox{onset}}}}\) at which the tangential speed vtan begins to increase with motility (squares; see Supplementary Fig. 16 for details). Colors in all panels represent different bulk doubling rates α.
