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. 2019 Oct 30;9:15607. doi: 10.1038/s41598-019-51575-1

Figure 3.

Figure 3

Cell repartition study in the vicinity of fixed points 2 in the domain of dynamical stability (see Fig. (1b)). In (a,b), results of the linear stability analysis with variation of the wave number k revealed by C0. In (a), the dynamical parameters are: 2 = (0.2D2, D2, 0,0.2), with α = 1, Da = Dm = 1 and B = −5. in (b) the same parameter but with B = −20 (see Eq. (16) of the Appendix C). The Byrne-Preziozi potential41,42 is selected with the following values αD = 2, m = 1, Db = 0.6 and εD = 0.1 in Eq. (9). Phase separation of tumor cell CSC or DC with the surrounding tissue. In (c): Labyrinth-like pattern for {d, α} = {0.2, 1} and consequentially {D2, S2} ~ {0.23, 0.045}. (d): Honeycomb-like pattern for {d,α} = {0.15,0.8} and consequentially {D2, S2} ~ {0.4, 0.06}.