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Table 3 Parameters of the lac operon models

From: Deterministic and stochastic population-level simulations of an artificial lac operon genetic network

Symbol Value Units Description
R 0,E. coli 0.4 μm E. coli radius
L E. coli 2.3 μm Representative E. coli length
A E. coli 5.8 μm2 E. coli membrane area (for the above length)
V E. coli 1.0 fL E. coli volume (for the above length)
O T 1 (copy number) operator molecular content
k sMR 0.23 nM·min-1 lacI transcription rate
k sR 15 min-1 LacI monomer translation rate constant
k 2R 50 nM-1·min-1 LacI dimerization rate constant
k -2R 10-3 min-1 LacI dimer dissociation rate constant
k r 960 nM-1·min-1 association rate constant for repression
k -r 2.4 min-1 dissociation rate constant for repression
k dr1 3·10-7 nM-2·min-1 association rate constant for 1st derepression mechanism
k -dr1 12 min-1 dissociation rate constant for 1st derepression mechanism
k dr2 3·10-7 nM-2·min-1 association rate constant for 2nd derepression mechanism
k -dr2 4.8·103 nM-1·min-1 dissociation rate constant for 2nd derepression mechanism
k s1MY 0.5 min-1 lacY transcription rate constant
k s0MY 0.01 min-1 leak lacY transcription rate constant
k sY 30 min-1 lacY translation rate constant
k p 0.12 nM-1·min-1 LacY-inducer association rate constant
k -p 0.1 min-1 LacY-inducer dissociation rate constant
k ft 6·104 min-1 TMG facilitated transport constant
h t 1.55·10-6 dm·min-1 TMG passive diffusion permeability constant
λ MR 0.462 min-1 lacI mRNA degradation constant
λ MY 0.462 min-1 lacY mRNA degradation constant
λ R 0.2 min-1 LacI monomer degradation constant
λ R2 0.2 min-1 LacI dimer degradation constant
λ Y 0.2 min-1 LacY degradation constant
λ YIex 0.2 min-1 LacY-inducer degradation constant
λ I2R2 0.2 min-1 repressor-inducer degradation constant
g 0.0231 (min-1) cell growth rate parameter
n d 25 (dim/less) division propensity sharpness exponent
V d,crit 15 (fL) critical volume for division
q 80 (dim/less) beta distribution sharpness exponent
n s 25 (dim/less) DNA duplication propensity sharpness exponent
V s,crit 10 (fL) critical volume for DNA duplication