Table 2 Parameters used in the kinetic model.

\(k_{1} \left( t \right) = a + \frac{{1000 \;{\text{nM }}\;{\text{h}}^{ - 1} - a}}{{0.231 \;{\text{h}}^{ - 1} }}\lambda_{c} \left( t \right)\)

Production rate of LasR per lasR gene

 ~ 1000 nM h^{−1 22,82,108,109,110,111}

a

Parameter in the k₁(t) formula (see above)

349.30 nM h⁻¹

This study

c

y offset

3.933 a.u

This study

s_t

Concentration of gfp gene

8.986 nM

5–10 copies/cell⁸⁵

λ₁

LasR monomer degradation rate

8.975 h⁻¹

 ~ 20 h^{−1 22,110,111,112,113}

λ_d

LasR dimer degradation rate

0.113 h⁻¹

 ~ 0 h^{−1 22,29}

λ_g

GFP degradation rate

0.107 h⁻¹

0.219 h^{−1 99}

k₂⁻  = k₃⁻  = k₄⁻

Off rates of LasR dimers

3758 h⁻¹

100 h⁻¹–4000 h^{−1 111,114};

1000 h^{−1 108,109,110}

k₂⁺

On rate of LasR dimer without signal molecule bound

1.490 nM⁻¹ h⁻¹

0.5 nM⁻¹ h^{−1 109,110,111,115,116}

k₃⁺  = k₄⁺

On rate of LasR dimer with signal molecule(s) bound

235.019 nM⁻¹ h⁻¹

100 nM⁻¹ h^{−1 109,110,111}

k_s⁻

Complex-DNA off rate

0.044

This study

K_s

k_s⁻/k_s⁺_, complex-DNA dissociation constant

1.229 nM

1 nM¹¹⁰

k_n(t) = k₁(t)

GFP production rate of gfp gene

 ~ 1000 nM h^{−1 22}

k_g

GFP maturation rate

7.709 h⁻¹

 ~ 1.5 h^{−1 22,117}

A

Scaling factor

0.002

This study