Table 4 Model adjustment for antibiotic-ratio dependent antagonistic behavior.
From: Effects of antibiotic interaction on antimicrobial resistance development in wastewater
Base model | Adjusted model for antagonism |
|---|---|
Growth term \({\alpha }_{R,2}\times \left(1-\frac{{R}_{m}+{R}_{1}+{R}_{2}+S}{{N}_{max}}\right){R}_{2}\) | Growth Term: \({\alpha }_{R,2}\left(MIC1, MIC2\right)\times \left(1-\frac{{R}_{m}+{R}_{1}+{R}_{2}+S}{{N}_{max}}\right){R}_{2}\) Where: \({\alpha }_{R,2}\left(MIC1, MIC2\right)\) = \({\alpha }_{R,2}\times sup1\times (\frac{MIC1}{MIC2})\) |
Bacterial killing from Dox \({syn\times \delta }_{max,2}\left(\frac{{C}_{2}}{{C}_{2}+{C}_{R,2}^{50}}\right){R}_{2}\) | Bacterial Killing from Dox: \({syn\times \delta }_{max,2}\left({R}_{1},{R}_{2}\right)\times \left(\frac{{C}_{2}}{{C}_{2}+{C}_{R,2}^{50}}\right){R}_{2}\) Where:\({\delta }_{max,2}\left({R}_{1},{R}_{2}\right)={\delta }_{max,2}\times sup2\times (\frac{{R}_{1}}{{R}_{2}})\) |
Parameter | Description |
|---|---|
\(sup1\) | Cip suppression variable 1 |
\(sup2\) | Cip suppression variable 2 |
\({\alpha }_{S}\) | Growth rate of susceptible bacteria (1/h) |
\({\alpha }_{R}\), \({\alpha }_{R,1},{\alpha }_{R,2}\) | Growth rate of bacteria resistant from mutation (1/h) |
\({N}_{max}\) | Carrying capacity (cells/mL) |
\(MIC1\) | MIC in response to Cip |
\(MIC2\) | MIC in response to Dox |
\({\delta }_{max,1}\),\({\delta }_{max,2}\) | Bacterial killing rate in response to antibiotic 1 and antibiotic 2 (1/h) |
