Table 1 Parameters used in the deterministic and stochastic simulations

K _{d 1}

dissociation constant of LuxR to A

100 nM

[41]

$k_1^{-}$

unbinding rate of LuxR to A

10 mi n⁻¹

estimated

K _{d 2}

dissociation constant of LuxR·AI dimerization

20 nM

fitted

$K_2^{-}$

dissociation rate of dimer (LuxR·AI)₂

1 mi n⁻¹

estimated

k _A

synthesis rate of A by LuxI

0.04 mi n⁻¹

fitted

K _dlux

dissociation constant of (LuxR·AI)₂ to the lux promoter

200 nM

fitted

$k_{\mathit{\text{lux}}}^{-}$

dissociation rate of (LuxR·AI)₂ to the lux promoter

10 mi n⁻¹

estimated

b

burst size

20

[38]

k _R

transcription rate of luxR

200/b mi n⁻¹

fitted

k _I

transcription rate of luxI

50/b mi n⁻¹

fitted

p _R

translation rate of luxR mRNA

b d _mR mi n ⁻¹

p _I

translation rate of luxI mRNA

b d _mI mi n ⁻¹

α _R

ratio between unactivated and activated rate of expression of luxR

0.001

fitted

α _I

ratio between unactivated and activated rate of expression of luxI

0.01

fitted

d _A

degradation rate of A (same inside and outside the cell)

0.001 mi n⁻¹

[42]

$d_{C_2}$

degradation rate of (LuxR·AI)₂

0.002 mi n⁻¹

estimated

d _C

degradation rate of LuxR·AI

0.002 mi n⁻¹

estimated

d _R

degradation rate of LuxR

0.002 mi n⁻¹

estimated

d _I

degradation rate of LuxI

0.01 mi n⁻¹

estimated

d _mR

degradation rate of luxR mRNA

0.347 mi n⁻¹

[43]

d _mI

degradation rate of luxI mRNA

0.347 mi n⁻¹

[43]

D

effective diffusion rate of A through the cell membrane

10 mi n⁻¹

[44]

τ

cell cycle duration (doubling time) in RM/succinate at 30 C

45 min

[10]

λ

relative weight between the det./sto. components of the cell cycle

0.8

[33, 45]

V ₀

cell volume at the beginning of cell cycle

1.5 μ m³

[46]

V _tot

total cell culture volume

2·10⁻⁴μl