Table 1. Summary of Parameter Relationships To Engineer Turing Patterns.

parameters for Turing patterns	current system value	range of values simulated	preferred parameter value and range	ideas to engineer-implementation	refs
differential diffusion (D = Da/Dh)	1.0	0.01–0.75	0.5, Da < Dh	HGF fusion with collagen binding domains or multimerization domains of any protein.	(38, and 41−44)
differential degradation (μ = μh/μa)	1.0	0.45–1.5	0.5, μa > μh	TEV protease targeted to HGF	(45)
Hill coeff. (nH)	1.2	1.33–6.0	5, nH > 1.33	Having both HGF and cMET-receptor in positive feedback, HGF sequestration on collagen.	(46 and 47)
dimensionless activator prod. rate (ra = ρakan–1/μa)	unknown	2.9–6.0	6.0, ra > 5.0	Greater production of activator (e.g., alternative promoter) for larger, more rapidly forming patterns	(39)
dimensionless inhibitor prod. rate (rh = ρhkan/μhkh)	unknown	5.0–6.0	5.0, 5 < rh < 6	NK4 variants with lower activity for larger more rapidly forming patterns. Greater production of inhibitor (e.g., alternative promoter) for smaller, slower forming patterns	(37 and 39)