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Table 6 Parameters, and their distributions, of the example mathematical model

From: Expanding behavior pattern sensitivity analysis with model selection and survival analysis

Parameter

Distribution

Definition

CTC pharmacokinetics

δ

Beta (0.54, 37.4)

CTC abiotic degradation rate

γs

Uniform (0.0535, 0.0895)

CTC flow rate from stomachs to small intestine

γupper_si

Uniform (0.250, 0.416)

CTC flow rate through the upper 1/3 small intestine

γrest_si

Uniform (0.100, 0.166)

CTC flow rate through the lower 2/3 small intestine

γLI

Uniform (0.100, 0.166)

CTC flow rate through large intestine

Eb

Uniform (0.39, 0.64)

Fraction CTC eliminated via bile

ηLI

Uniform (0.69, 0.89)

Fraction CTC adsorbed to digesta in the large intestine

VLI

Uniform (6, 22)

Large intestine contents volume

CTC pharmacodynamics

Hs

Uniform (1.62, 2.23)

Hill coefficient for susceptible bacteria

Hi

Uniform (5.71, 9.53)

Hill coefficient for intermediate bacteria

Hr

Uniform (6.42, 10)

Hill coefficient for resistant bacteria

MICs

Uniform (0, 4)

Anaerobic MIC for susceptible bacteria

MICi

Uniform (2.7, 16)

Anaerobic MIC for intermediate bacteria

MICr

Uniform (14.7, 128)

Anaerobic MIC for resistant bacteria

Bacterial population dynamics in the large intestine

r

Uniform (0.05, 0.5)

Bacterial growth rate in the large intestine

α

Uniform (0, 0.03)

Fitness cost for intermediate and resistant bacteria

 log10(Nmax)

Weibull (14.03, 20.32) − 7.59

Large intestine carrying capacity for the bacteria

Nstart

Uniform (0.1, 0.9) * Nmax

Starting bacterial population size

 log10(βjk)

Gamma (94.17,0.16) − 22.57

transposon transfer rate between /transposon transfer rate between E. coli subpopulations

λin

Uniform (0.001, 0.01)

Bacterial in-flow rate to the large intestine

λout

Uniform (0.01, 0.02)

Bacterial out-flow rate from the large intestine

pi

Uniform (0.02, 0.15)

Proportion intermediate in in-flowing bacteria

pr

Uniform (0.16, 0.61)

Proportion resistant in in-flowing bacteria

ps

1- pi - pr

Proportion susceptible in in-flowing bacteria

startj

Same as pj

Starting proportions of resistant (startr), intermediate (starti), and susceptible (starts) bacteria in the large intestine

  1. The model was for the proportion of tetracycline-resistant enteric Escherichia coli in a beef steer during and after administration of oral chlortetracycline, and has been previously published (see text). The parameter symbols, definitions, and distributions are given here. Chlortetracycline (CTC)