Biomedical Engineering Reference
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contacts, inhibiting their spreading and preventing a significant dispersion;
see the inset in the bottom{right panel of Figure 9.5.
FIGURE 9.5: A bimodal relationship is observed between cell migratory ca-
pacities and the density of the fibrous component of the planar matrix. The
other model parameters are the same as in the simulations of Figure 9.1. Cell
mean square displacement (MSD), average velocity, and persistence time are
given as functions of the number of bers. In the bottom{right panel, the cell
aspect ratio (see Section 9.2.1) is evaluated over time at low (i.e., 6 10
3
),
intermediate (i.e., 2 10
6
), and high (6 10
7
) number of fibers. A bipha-
sic behavior is indeed observed: at low fiber concentrations, cell morphology
remains stationary, while it undergoes significant fluctuations at intermedi-
ate fiber densities (top black line). Finally, cell spreading decreases again for
higher numbers of threads. Each value in the plots is shown as mean s.d.
over 50 randomly chosen individuals.
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