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A mathematical model suggests collectivity and inconstancy enhance the efficiency of neuronal migration in the adult brain

Fig 4

‘Activity’ of neuroblasts.

(a) Time series of the speed of a neuroblast in vitro (methods detailed in Sect I of S1 Appendix). (b) Target length of a neuroblast process ( in Eq 3) in silico. The wavelength of saltation cycles is set to 20 min, i.e., [rad/min] in Eq 3. The saltation amplitude () depends on the simulation conditions: constant (black; [m]), periodic (green; the case of nine saltation cycles per activity cycle, i.e., and the activity amplitude in Eq 9), and random (blue; the case of the saltation amplitude under the truncated normal distribution with the mean and the standard deviation in , updated every three saltation cycles, i.e., u = 3). Average target lengths through a time series in all conditions theoretically equal the middle length L = 40 [m]. Dotted lines indicate the minimum and maximum lengths under the constant case (30 and 50 m, respectively).

doi: https://doi.org/10.1371/journal.pcbi.1013105.g004