Table 1.

Parameters used in the model in the kinetic model.

Parameter	Value
λn + kg	(2.1 ± 0.3) h−1	degradation plus maturation (consistent with [18,23])
λg, λn	(0.7 ± 0.3) h−1	proteolytic decay for GFP (consistent with [18])
Kd	(7 ± 2)nM	dissociation constant (agrees with [17])
A	2170 ± 200 [a.u.]	amplitude (Glucose, Casamino)
	1200 ± 200 [a.u.]	amplitude (Glycerol, l-leucine)
md	0.9 ± 0.2	memory (Glucose, Casamino)
	0.3 ± 0.1	memory (Glycerol, l-leucine)
λc	(1.69 ± 0.04) h−1	growth rate (Glucose, Casamino)
	(0.34 ± 0.03) h−1	growth rate (Glycerol, l-leucine)
g(t)		density normalized GFP response
g0		density normalized GFP response at s = 0
G(t)		measured fluorescence response
G0(t)		measured fluorescence response at s = 0
OD(t)		optical density at 450nm
hn(t), hg(t)		impulse response for GFP production and maturation
$k_2^{\pm }$		on/off rates for dimer formation
$k_3^{\pm },k_4^{\pm }$		on/off rates for ligand binding
K2	$k_2^{-}/k_2^{+}$	dimer dissociation constant
K3, K4	$k_3^{-}/k_3^{+},k_4^{-}/k_4^{+}$	ligand-dimer dissociation constants
Kd	$\sqrt{K_3{K}_4}$	dissociation constant for cooperative ligand binding
b1	~ 1000 h−1	production rate of LasR per plasmid copy [21]
bn		background production of GFP(ASV)
kn	~ 1000 h−1	induced production rate of GFP per plasmid copy
kg	~ 1.5 h−1	maturation rate of GFP [23]
λ1	~ 20 h−1	R monomer degradation, [7]
λ2	~ 0 h−1	R2 degradation (this study)
λ3		R2S degradation, insensitive to this value
λ4	~ 0 h−1	degradation of R2S2[16]
λd		averaged dimer degradation rate
Λn	kg + λn + λc	GFP parameter
Λg	λg + λc	GFP parameter
Rt		lac promoter density (plasmid density)
St		lasB promoter density (plasmid density)
Sa		active lasB promoter density (plasmid density)
Sf		free lasB promoter density (plasmid density)
r1, r2, r3, r4	[R], [R2], [R2S], [R2S2]	LasR monomer and dimer concentrations
s	[S]	Signal molecule concentration
t		time since addition of signal molecules