Table 3 Model parameters, definitions and values.
From: Effects of antibiotic interaction on antimicrobial resistance development in wastewater
Parameter | Definition | Value | |
|---|---|---|---|
\(E\) | Environmental concentration of antibiotic ((µg/mL)/h) | Concentration of interest | |
syn | Synergy parameter (non-dimensional) | Experimentally determined by FIC | |
\({k}_{e}\) | Antibiotic clearance (1/h) | 1.97 | |
\({\alpha }_{S}\) | Growth rate of susceptible bacteria (1/h) | 13.66 | |
\({\alpha }_{R}\) | Growth rate of bacteria resistant from mutation (1/h) | Rif | 5.6 |
Strep | 4.2 | ||
Eryth | 3 | ||
Dox | 10.75 | ||
Cip | 6.1 | ||
\({N}_{max}\) | Carrying capacity (cells/mL) | 109 | |
\({g}_{s}\), \({g}_{Rm}\),\({g}_{R1}, {g}_{R2}, {g}_{Rp}\) | Bacterial influx rates (cells/h) | 0 | |
\({k}_{T}\) | Bacterial efflux rate (1/h) | 0.8 | |
\({\delta }_{max,1}\),\({\delta }_{max,2}\) | Bacterial killing rate in response to antibiotic 1 and antibiotic 2 (1/h) | 1.97 | |
\({{C}_{S}^{50},C}_{R,1}^{50}{, C}_{R,2}^{50}\) | Antibiotic concentration where the killing action is half its maximum value (ug/mL) | Half MIC value of antibiotic | |
\({m}_{1}\left({C}_{1}\right)\), \({m}_{2}\left({C}_{2}\right)\) | Mutation frequency under antibiotic 1 and antibiotic 2 (1/h) | Rif | 8.5 × 10–3 |
Strep | 8.35 × 10–4 | ||
Eryth | 8.35 × 10–5 | ||
Dox | 8.35 × 10–3 | ||
Cip | 8.35 × 10–5 | ||
