Table 3 Parameters of the lac operon models

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 1^st derepression mechanism

k _-dr1

12

min^-1

dissociation rate constant for 1^st derepression mechanism

k _dr2

3·10^-7

nM^-2·min^-1

association rate constant for 2^nd derepression mechanism

k _-dr2

4.8·10³

nM^-1·min^-1

dissociation rate constant for 2^nd 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