Table 1 Prior distributions for both two and three strain systems. Constant parameters have the same min and max value. \({K}_{{A}_{y}{B}_{z}}\), Kω, \({K}_{{A}_{y}}\) and \({KB}_{\mathrm{max}}z\) are sampled from log uniform distributions. The remaining parameters are sampled from uniform distributions.
Parameter/state variable | Description | Prior (min) | Prior (max) | Units | Citation |
---|---|---|---|---|---|
Parameters | |||||
CN | OD to cell number scaling factor | 1e9 | 1e9 | None | N/A |
CB | Microcin scaling factor | 1e−9 | 1e−9 | None | N/A |
CA | QS scaling factor | 1e-9 | 1e−9 | None | N/A |
D | Dilution rate | 0.01 | 0.2 | h−1 | N/A |
\({K}_{{A}_{y}{B}_{z}}\) | Half-maximal QS promoter activation/repression from Ay to Bz | 1e−9 | 1e−6 | M | |
Kx | Monod’s half-saturation constant | 3.9e−5 | 3.9e−5 | M | |
Kω | Half-saturation killing constant | 1e−7 | 1e−6 | M | |
S0 | Substrate concentration of input media (0.4% glucose) | 0.02 | 0.02 | M | M9 media |
γ | E. coli substrate yield | 1e11 | 1e11 | cell M−1 | |
\({k}_{{A}_{y}}\) | Production rate of AHL per cell | 1e−22 | 1e−15 | M h−1 | |
\(K{B}_{\max }z\) | Maximal expression rate of microcin | 1e−22 | 1e−15 | M h−1 | |
\({\mu }_{{x}_{\max }}\) | Maximum growth rate | 0.4 | 3 | h−1 | |
nz | Hill coefficient AHL induced expression | 1 | 2 | M | |
nω | Hill coefficient for killing | 1 | 2 | M | |
\({\omega }_{\max }\) | Maximum rate of bacteriocin killing | 0.5 | 2.0 | M−1 h−1 | |
Initial state variable | |||||
N | OD of strain | 0.01 | 0.5 | OD | N/A |
S | 0.4% glucose concentration | 0.02 | 0.02 | M | N/A |
B | Microcin concentration | 1e−81 | 1e−81 | M | N/A |
A | QS concentration | 1e−10 | 1e−10 | M | N/A |