Experiment ID
286
Pathogen
Agent Strain
ATCC 19660
Contains Preferred Model
No
Reference
Hazlett, L. D., Rosen, D. D., & Berk, R. S. (1978). Age-Related Susceptibility to Pseudomonas aeruginosa Ocular Infections in Mice. Infection and Immunity, 20, 1.
Exposure Route
contact lens
Response
infection (Keratitis)
Host type
Swiss webster mice
# of Doses
5.00
Dose Units
CFU
Μodel
exponential
k
8.8E-08
LD50/ID50
7.88E+06
Description
Swiss webster mice /  Pseudomonas aeruginosa 
Dose Infection (keratitis)

Not Infection (keratitis)

Total
1E+04 0 8 8
1E+05 1 9 10
1E+06 1 7 8
1E+07 5 5 10
1E+08 10 0 10

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom
χ20.95,1 
p-value
χ20.95,m-k 
p-value
Exponential

3.6

0.134 4 3.84 
0.715
9.49 
0.464
Beta Poisson

3.46

3 7.81 
0.326
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 8.8E-08 3.31E-08 3.89E-08 4.53E-08 1.58E-07 1.94E-07 2.47E-07
ID50/LD50/ETC* 7.88E+06 2.81E+06 3.57E+06 4.38E+06 1.53E+07 1.78E+07 2.09E+07
*Not a parameter of the exponential model; however, it facilitates comparison with other models.

 

Parameter histogram for exponential model (uncertainty of the parameter)

Exponential model plot, with confidence bounds around optimized model

References

  • Hazlett, L. D., Rosen, D. D., & Berk, R. S. (1978). Age-Related Susceptibility to Pseudomonas aeruginosa Ocular Infections in Mice. Infection and Immunity, 20, 1.