Theory and Modern Applications
Table 1 Parameter values for the model
From: Modeling bacterial resistance to antibiotics: bacterial conjugation and drug effects
Parameter | Description | Value | Units | Ref. |
|---|---|---|---|---|
λ | Conjugation rate | 0.7 | \(h^{-1}\) | from \(R_{0}\) |
K | Bacteria carrying capacity | 109 | Cells | [18] |
\(g_{S}\) | Growth rate of sensitive bacteria | 1 | \(h^{-1}\) | |
\(g_{R}\) | Growth rate of resistant bacteria | 0.65 | \(h^{-1}\) | |
p | Probability of losing a plasmid | 0.5 | – | varied |
d | Natural death rate | 0.5 | \(h^{-1}\) | Â |
\(E^{S}_{\max }\) | Maximal kill rate of sensitive bacteria | 1.5 | \(h^{-1}\) | |
\(E^{R}_{\max }\) | Maximal kill rate of resistant bacteria | 1.1 | \(h^{-1}\) | |
\(A^{S}_{50}\) | Concentration of antibiotic which has half maximum effect on sensitive bacteria | 0.25 | μg/ml | |
\(A^{R}_{50}\) | Concentration of antibiotic which has half maximum effect on resistant bacteria | 5 | μg/ml | |
\(\alpha _{A}\) | Elimination rate of antibiotic under an intravenous therapy | 0.15 | \(h^{-1}\) |