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

Fig 9

Simulation results for various adhesion strengths between neuroblasts.

(a) Heat map of the regression slope of the forward speed for the collectivity n_i(t) (the number of neuroblasts near each neuroblast). A large positive value on a blue background indicates that a neuroblast in a collective tends to be faster than a solitary one. Values on the left side indicate , a constant adhesion strength between neuroblasts. The three columns indicate constant, periodic-inconstant, and random-inconstant conditions in saltation amplitude from the left. The parameters are as set in Fig 7. (b) Averaged plots of the forward speed for each number of collectivity over different values of with constant neuroblasts. Symbol, mean; error bar, 95% confidence interval; line, regression line. An upward line to the right (i.e., positive slope) indicates that a collective tends to be faster than a solitary. Each leftmost symbol labeled “total” represents the mean overall collectivity values. Histograms at the bottom indicate the sample sizes from the above-plotted conditions. Circle, [nN]; triangle, [nN]; cross, [nN]; square-cross, [nN]. The number of astrocytes showing reactive shrinkage is .

doi: https://doi.org/10.1371/journal.pcbi.1013105.g009