Symbols

Definitions

Values

Units

 

 

Concentration of extracellular biofuel

-

None

 

 

Initial concentration of extracellular biofuel

0

None

 

 

Concentration of intracellular biofuel

-

M

 

 

Steady state of intracellular biofuel (feedback loop model)

-

M

 

 

Steady state of intracellular biofuel (constant pump model)

-

M

 

 

Initial concentration of intracellular biofuel

0

M

 

 

I

IPTG level

0 - 1

mM

 

 

Repressor deactivation constant

100

M−1

 

 

kp

Pump activation constant

0.2

h−1

 

 

Repressor activation constant

10

h−1

 

 

n

Concentration of cell density

-

None

 

 

ns

Steady state expressions of cell density (feedback loop model)

-

None

 

 

Steady state expressions of cell density (constant pump model)

-

None

 

 

Maximum population size

1

None

 

 

Initial concentration of cell density

0.01

None

 

 

p

Concentration of pump expressions

-

None

 

 

Steady state expression of pumps (feedback pump model)

-

None

 

 

Steady state expression of pumps (constant pump model)

-

None

 

 

Initial concentration of pump expressions

0

None

 

 

R

Concentration of repressor proteins

-

None

 

 

Steady state expression of repressor proteins

-

None

 

 

Initial concentration of repressor proteins

0

None

 

 

t

Time

-

h−1

 

 

Greek Letters

 

Biofuel production rate

0.1

h−1

 

Cell growth rate

0.66

h−1

 

Basal pump production rate

0.01

h−1

 

Basal repressor production rate

0.01

h−1

 

Pump degradation rate

0.66

h−1

 

Repressor degradation rate

2.1

h−1

 

Inducer saturation threshold

60

μM

 

Pump toxicity threshold

0.14

none

 

Repressor saturation threshold

1.8

none

 

Biofuel export rate per pump

0.5

M−1∙h−1

 

Biofuel toxicity coefficient

0.91

M−1∙h−1

 

Ratio of intra to extracellular volume

0.01

none

Subscripts

 

b

Biofuel

 

e

Extracellular biofuel

 

i

Intracellular biofuel

 

I

Inducer

 

max

Maximum