Data Supplement
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Article Figures & Data
Figures
- Figure 1.
(a) An image of a motile tissue in the steady state, overlayed with the corresponding velocity field. Cell colours are arbitrary. (b) Maps of the velocity correlations around a cell migrating from left to right (see §3). These have been obtained for populations of 1600 cells. The unit distance is the cell diameter. (c) A graph of the correlation length
as a function of the motile force μ, for J = 5. - Figure 2.
(a) Average mean-square displacement as a function of time for a range of motile force μ and adhesion J. The background colour reflects the value of
, as represented on the x-axis of figure 2b. Distances are in pixels, and time is expressed in MCS (see §3), MCS. The dashed lines illustrate two limit behaviours corresponding to purely diffusive : slope 1) and purely ballistic (: slope 2) displacements, in order to facilitate the interpretation of the graphs. (b) A graph of the diffusion exponent β as a function of , for four different values of J (2.5, red; 5, yellow; 7.5, green; 10, blue). The vertical dashed line indicates the typical value of at which the epithelium to collective migration transition occurs. - Figure 3.
(a,b) Heat maps of the order parameter
as a function of (a) μ and the system size (number of cells: ) or (b) μ and the typical distance between leaders (in cell diameters). Data for three different values of J are presented. The dashed lines indicate the value of the motile force at which the is maximal. (c) An example of a tissue with a few leader cells (with pink/orange tone) whose polarity is constant and directed towards the right. (d) A sketch of the curve and its qualitative relationship with the different regimes of migration. For a given length scale d associated with a constraint (distance between leaders, distance between boundaries or number N of cells in the group ()), three regimes can be defined as μ increases: epithelium, sheet migration or uncoordinated. - Figure 4.
(a) Diffusion exponent β of a single motile cell in a tissue of non-motile cells.
is determined by . Inset: mean-square displacement of single motile cells. (b) A graph of the total invasion distance Λ as a function of vt, where v is the mean speed of the tumour cells; this scaling compensates for the fact that the invasion rate trivially scales with v for . Data are shown for various motile forces (J = 5). - Figure 5.
(a) Evolution of
(the number of contacts between two motile cells divided by the number of contacts between motile and non motile cells) for different motile forces μ (J = 5). The data have been obtained on a system of 2048 motile cells and 2048 non-motile cells. Inset: the same data are used to plot at different times. (b) A snapshot of the segregating tissue at t = 106 MCS with and J = 5.
Volume 9, issue 77
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