| Symbols | Definitions | Values | Units |
| ||
| Concentration of extracellular biofuel | - | None |
| |||
| Initial concentration of extracellular biofuel | 0 | None |
| |||
| Concentration of intracellular biofuel | - | M |
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| Steady state of intracellular biofuel (feedback loop model) | - | M |
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| Steady state of intracellular biofuel (constant pump model) | - | M |
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| Initial concentration of intracellular biofuel | 0 | M |
| |||
| I | IPTG level | 0 - 1 | mM |
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| Repressor deactivation constant | 100 | M−1 |
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| kp | Pump activation constant | 0.2 | h−1 |
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| Repressor activation constant | 10 | h−1 |
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| n | Concentration of cell density | - | None |
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| ns | Steady state expressions of cell density (feedback loop model) | - | None |
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| Steady state expressions of cell density (constant pump model) | - | None |
| |||
| Maximum population size | 1 | None |
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| Initial concentration of cell density | 0.01 | None |
| |||
| p | Concentration of pump expressions | - | None |
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| 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 |
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b | Biofuel |
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e | Extracellular biofuel |
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i | Intracellular biofuel |
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I | Inducer |
| |||||
max | Maximum |
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