Table 2 Interpretation and considered values of the parameters
From: Mathematical modelling of bacterial resistance to multiple antibiotics and immune system response
Parameter | Description | Value | References |
|---|---|---|---|
\(\beta_{S}\) | Growth rate of sensitive bacteria | 0.8 day−1 | Mondragón et al. (2014) |
\(( {1 - c} )\beta_{S}, \,0 < c < 1\) | Growth rate of resistant bacteria | 0.4–0.1 day−1 | Mondragón et al. (2014)-hypothesis |
\(k\) | Growth rate of immune cells | 0.6 day−1 | Pugliese and Gandolfi (2008) |
\(\eta\) | Rate of bacteria destroyed by immune cells | 0.3 day−1 | Pugliese and Gandolfi (2008) |
\(\omega\) | Rate to the amount of present bacteria of carrying capacity of immune cells | 1 | Hypothesis |
\(T\) | Carrying capacity of bacteria | 109 bacteria | Alavez et al. (2006) |
\(\overline{{\alpha_{1} }}\) | Mutation rate of INH | 10−6 mut×gen | Coll (2009) |
\(\overline{{\alpha_{2} }}\) | Mutation rate of PZA | 0 | Mondragón et al. (2014) |
\(\overline{{d_{1} }}\) | Elimination rate of sensitive bacteria due INH | 0.0039 day−1 | Zhang (2009) |
\(\overline{{d_{2} }}\) | Elimination rate of sensitive bacteria due PZA | 0.0001625 day−1 | Alavez et al. (2006) |
\(\delta_{1}\) | Daily dose of INH | 5 mg/kg/day | Coll (2009) |
\(\delta_{2}\) | Daily dose of ZPA | 35–20 mg/kg/day | Coll (2009) |
\(\mu_{1}\) | Uptake rate of INH | 0.06 day−1 | Esteva et al. (2011) |
\(\mu_{2}\) | Uptake rate of PZA | 0.03 day−1 | Esteva et al. (2011) |