Experiment ID
154, 156, 158, 160, 219, 220, 221
Pathogen
Agent Strain
EPEC E2348/69 (O127:H6)
Contains Preferred Model
No
Reference
Tacket, C. O., Sztein, M. B., Losonsky, G. ., Abe, A. ., Finlay, B. B., McNamara, B. P., … Donnenberg, M. S. (2000). Role of EspB in Experimental Human Enteropathogenic Escherichia coli Infection. Infection and Immunity, 68, 6.
Exposure Route
oral (w. 2g NaHCO3)
Response
shedding in feces
Host type
human
# of Doses
13.00
Dose Units
CFU
Μodel
exponential
k
1.95E-06
LD50/ID50
3.56E+05
Experiment Dataset
Description
EPEC, infection, buffered, in the human model data
Dose Shedding in feces No shedding in feces Total
1E+06 3 1 4
1E+06 5 0 5
1E+06 4 1 5
1E+08 5 0 5
1E+08 5 0 5
9E+08 8 0 8
1E+10 10 0 10
1E+10 9 0 9
1E+10 14 0 14
1E+10 5 0 5
1E+10 5 0 5
1E+10 5 0 5
2.3E+10 19 0 19

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential 1.98 2.71e-06 12 3.84 
0.999
21 
0.999
Beta Poisson 1.98 11 19.7 
0.999
Exponential is preferred to beta-Poisson; cannot reject good fit for exponential.

 

Optimized k parameter for the exponential model, from 10000 bootstrap iterations
Parameter MLE estimate Percentiles
0.5% 2.5% 5% 95% 97.5% 99.5%
k 1.95E-06 8.47E-07 1.03E-06 1.25E-06 2.64E-06 2.64E-06 2.64E-06
ID50/LD50/ETC* 3.56E+05 2.63E+05 2.63E+05 2.63E+05 5.53E+05 6.73E+05 8.18E+05
*Not a parameter of the exponential model; however, it facilitates comparison with other models.
Parameter histogram for exponential model (uncertainty of the parameter)
Parameter histogram for exponential model (uncertainty of the parameter)

 

Exponential model plot, with confidence bounds around optimized model
Exponential model plot, with confidence bounds around optimized model