Skip to main content
. 2021 Sep 14;10:e68764. doi: 10.7554/eLife.68764

Appendix 1—table 5. Parameters and probability distributions for E. coli.

Symbol Parameter Unit Distribution Reference Reference setting Notes
β Transmission rate day−1 Normal (0.0078, 0.00334) Gurieva et al., 2018 13 European ICUs /
α’ Endogenous acquisition rate day−1 Normal (0.0024, 0.000663) Gurieva et al., 2018 13 European ICUs /
γ Natural clearance rate day−1 Normal (0.00269, 0.000216) Bar-Yoseph et al., 2016 Mixed Fit longitudinal colonization data using exponential decay model
c Fitness cost of resistance / Normal (0.2, 0.02) / / In absence of data for ESBL resistance, used same distribution as for MRSA
fC Admission fraction (colonized) / Normal (0.275, 0.0140) Ebrahimi et al., 2016; Gurieva et al., 2018 Mixed Estimated as the proportion of patients arriving to 13 European ICUs with ESBL-EC carriage, divided by the estimated proportion of E. coli that are ESBL-producing in a Hungarian hospital
fR Admission fraction (bearing resistant strain) / Normal (0.119, 0.0413) Ebrahimi et al., 2016 Hungarian hospital Proportion of fecal E. coli that were ESBL-producing from a non-outbreak setting
fω Admission fraction (microbiota bearing ESBL gene) Binomial(857, 0.0665)/857 Pilmis et al., 2018; Vidal-Navarro et al., 2010 2 French hospitals Estimated by pooling 857 samples from two studies reporting fecal carriage of ESBL-producing species other than E. coli
rS Antibiotic resistance level (EC) / median 23.1% (range 9.6–36.5%) Estimated / Cumulative resistance level across simulated antibiotic consumption data and assumed antibiograms
rR Antibiotic resistance level (ESBL-EC) / median 84.9% (range 77.4–92.2%) Estimated / Cumulative resistance level across simulated antibiotic consumption data and assumed antibiograms
ε Colonization resistance / 1–1/Cauchy (6.06, 0.64) Estimated / From expert opinion
η Resource competition / (1/γ)/(1/γ + Cauchy(76.38, 5.35)) Estimated / From expert opinion
ϕ Ecological release / Cauchy(11.80, 0.80) Estimated / From expert opinion
χe HGT rate (equilibrium) day−1 χd/Log-Normal (1.36, 0.81) Estimated / From expert opinion
χd HGT rate (dysbiosis) day−1 -log(1-Weibull (0.94, 0.11)) /10 Estimated / From expert opinion
ω Proportion of patients whose microbiota acquire ESBL gene following antibiotic exposure / Binomial(132, 18/132)/132 × 0.382 Agence nationale de sécurité du médicament et des produits de santé, 2017; Bar-Yoseph et al., 2016 Mixed The proportion of patients in a meta-analysis who, subsequent to treatment, express resistance to the antibiotic with which treated (18/132), multiplied by the proportion of ESBLs among antibiotics consumed in French hospitals (38.2%)