Fig. 7.

Quantifying in silico pattern dependence on the spatial scale of long-range cellular interactions involved in M birth. (A–F) Kernel density estimates for (A and B) maximum stripe and interstripe width for wild type, (C) wild-type stripe curviness, (D) number of spots for pfeffer and shady, (E) median spot size for the mutants, and (F) pfeffer and shady spot roundness as a function of the inner radius of the Ωlong neighborhood in Eq. 1. Measurements in A–F are based on 100 simulations of the model (20) (for wild type, pfeffer, and nacre, respectively) for each inner radius R of Ωlong in [1] considered. (We consider R from 10 to 400 μm in increments of 25 μm.) All other model parameters (including the width of the Ωlong annulus in Eq. 1 and the long-range annulus scale in all other model rules) remain at their default values. In A, B, and E we show linear regression models for their corresponding values, along with the R2 goodness-of-fit scores. (G) Example wild-type, pfeffer, and shady patterns for different parameter values [the patterns generated by the model (20) under the default parameter—210 μm—are noted in gray].