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Table 1 Parameters used in the deterministic and stochastic simulations

From: Dynamics of the quorum sensing switch: stochastic and non-stationary effects

Parameter Description Value Reference
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 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