Fig. 3
From: Tip cell overtaking occurs as a side effect of sprouting in computational models of angiogenesis
Analysis of cell migration within sprouts. The position of each cell is orthogonally projected onto the sprout elongation axis and plotted against sprouting time in minutes for (a) a sprout in a murine aortic ring assay (Figure (a) is adapted from [6]), (b) in the contact inhibition model and (c) in the cell elongation model; arrows indicate tip cell overtake events. The standard deviation std(θ/π) is given for (d) anterograde moving cells (θ < π/2) and (e) retrograde moving cells (θ > π/2) for the experimental observations by Arima et al. [6] (exp), for the contact inhibition model (contact) and for the cell elongation model (long). f Directional motility represents the percentage of cells moving anterograde (blocked pattern), retrograde (diagonal striped pattern) or stopped (horizontally striped pattern). Mean square displacement (MSD) of cells, calculated by the projection of the center of mass on the sprout elongation axis, plotted against sprout time for (g) the contact inhibition model and for (h) the cell elongation model. The fitted curve following MSD = 2Dt + (vt)2 is shown in blue, with D the dispersion coefficient and v the sprout elongation velocity