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Effect of the wavelength on the branching patterns in the Turing region for ρH = 0.00005.

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posted on 04.04.2017, 17:30 by Hui Xu, Mingzhu Sun, Xin Zhao

(A) The cell differentiation trajectories of the branching patterns cross the Turing region. Points 1–7 correspond to the position of the underlying Turing patterns. (B) Branching patterns (top) and underlying spot patterns (bottom). Patterns 1–7 correspond to points 1–7 in A. (C) Dispersion relations for patterns, with wavenumber k1-7 corresponding to patterns 1–7 in B. (D) Comparison of the wavelength (2π/wavenumber) from patterns 1–7 in B. Parameters: c = 0.002, μ = 0.16, ρA = 0.03, DA = 0.02, v = 0.04, ρH = 0.00005, DH = 0.3, c0 = 0.02, DS = 0.06, (B1-7) ε = 3.0/2.0/1.0/0.5/0.1/0.06/0.045. In the 2D patterns, black indicates a high concentration, and gray indicates a low concentration.

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