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Experiment ID
2
Pathogen
Yersinia pestis
Agent Strain
KIM D27
Contains Preferred Model
No
Reference
Parent, M. A., Berggren, K. N., Kummer, L. W., Wilhelm, L. B., Szaba, F. M., Mullarky, I. K., & Smiley, S. T. (2005). Cell-Mediated Protection against Pulmonary Yersinia pestis Infection. Infection and Immunity, 73, 11. https://doi.org/10.1128/IAI.73.11.7304-7310.2005
Exposure Route
intranasal
Response
death
Host type
mice
# of Doses
4.00
Dose Units
CFU
Μodel
exponential
k
1.07E-04
LD50/ID50
6.47E+03
Description
Mouse/ KIM D27 model data 
Dose Dead Survived Total
100 0 10 10
1000 2 8 10
1E+04 6 4 10
1E+05 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 1.21 0.138 3 3.84 
0.711 		7.81 
0.75
Beta Poisson 1.07 2 5.99 
0.585
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 1.07E-04 3.85E-05 4.70E-05 5.57E-05 1.93E-04 2.22E-04 3.29E-04
ID50/LD50/ETC* 6.47E+03 2.11E+03 3.12E+03 3.59E+03 1.24E+04 1.48E+04 1.80E+04
*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

  • Parent, M. A., Berggren, K. N., Kummer, L. W., Wilhelm, L. B., Szaba, F. M., Mullarky, I. K., & Smiley, S. T. (2005). Cell-Mediated Protection against Pulmonary Yersinia pestis Infection. Infection and Immunity, 73, 11. https://doi.org/10.1128/IAI.73.11.7304-7310.2005