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The Anomalous Diffusion of a Tumor Invading with Different Surrounding Tissues

Figure 5

Tumor invasive diffusion with heterogeneity of the ECM.

(a–b) The time evolution of the n, MMP, and ECM in a one-dimensional spatial length x when the ECM is heterogeneous, at times (a) t = 0 and (b) t = 1. The inset shows the enlarging curves of the n and MMP at a different time. (c) The curve fitting the time and peak position of n data, xm-t, at different values of A. The exponent b decreases with the heterogeneity of the ECM. Simulating parameters: P2 in Table 3, where γf = 0.01 and γG = λ = β = λa = 0. The rests of the parameters were fixed.

Figure 5

doi: https://doi.org/10.1371/journal.pone.0109784.g005