Table 1.

Descriptions and values of the idealized model parameters.

parameter	description	ATC	RTC	order of reaction
Ω	characteristic system size	103	103	n.a.
λ	scaling factor of the binding rate κZ and unbinding rate θZ, Z ∈ {X, Y}	(1, 103)	(1, 103)	n.a.
	number of binding sites on gene X	0	(1, 3)	n.a.
	number of binding sites on gene Y	(1, 3)	0	n.a.
βfX	basal production rate of gene X when the number of bound	2	10	zeroth order
βbX	repressed production rate of gene X when the number of bound	2	0	zeroth order
βfY	basal production rate of gene Y when the number of bound X = 0	0	2	zeroth order
βbY	activated production rate of gene Y when the number of bound X > 0	10	2	zeroth order
δX	degradation rate of TF X	1	1	first order
δY	degradation rate of inhibitor Y	1	1	first order
κX	the binding rate of TF X to an empty target promoter site on gene X	0	0.2λ	second order
κY	the binding rate of TF X to an empty target promoter site on gene Y	λ	0	second order
θX	the dissociation rate of a TF X bound to promoter sites of X	0	0.4λ	first order
θY	the dissociation rate of a TF X bound to promoter sites of Y	0.5λ	0	first order
α	the association rate of X and Y	10	10	second order