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. Author manuscript; available in PMC: 2016 Dec 23.
Published in final edited form as: Cell Syst. 2015 Dec 23;1(6):408–416. doi: 10.1016/j.cels.2015.12.001

Figure 2. Stripe orientation in the Swift-Hohenberg model.

Figure 2

A: Stripes are oriented perpendicular to a production gradient. Upper: Pattern production varies along the x axis, as schematized by the early spatial bias in pattern density. As the pattern evolves over time, we predict that this will generate stripes parallel to the y axis. Lower: Simulation of Equation 8 shows that stripes are oriented perpendicular to the production gradient.

B: Stripes are oriented parallel to a parameter gradient. A: Interaction strength varies along the x axis, schematized by the graded transparency of the colored sections. We predict that this will generate stripes parallel to the x axis. B: Simulation of Equation 11 confirms that stripes are oriented parallel to the parameter gradient.

C: Stripes are oriented by anisotropies. Upper: A schematic of local activation, long range inhibition with anisotropic interactions. Lower: Simulation of Equation 14 confirms the ability of anisotropies to orient stripes.

D: Stripes are oriented by directional growth. Upper: A schematic of periodic patterning in the presence of uniform growth along the x axis. Lower: Simulation of Equation 1 in the presence of anisotropic growth shows stripe alignment along the direction of growth.