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Experiment ID
26
Pathogen
Coxiella burnetii
Agent Strain
Nine mile phase I
Contains Preferred Model
No
Reference
Scott, G. ., Williams, J. C., & Stephenson, E. H. (1987). Animal models in Q fever: pathological responses of inbred mice to phase I Coxiella Burnetii. Journal of General Microbiology, 133, 691-700.
Exposure Route
intraperitoneal
Response
death
Host type
C57BL/6 mice
# of Doses
13.00
Dose Units
PFU
Μodel
exponential
k
5.7E-11
LD50/ID50
1.22E+10
Description
Mice/Nine mile phase I model data 
Dose Dead Survived Total
0.05 0 10 10
0.5 0 10 10
5 0 10 10
50 0 10 10
501 0 10 10
5010 0 10 10
50100 0 10 10
501000 0 10 10
5010000 0 10 10
5.01E+07 0 10 10
5.01E+08 1 9 10
5.01E+09 3 7 10
5.01E+10 9 1 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 1.63 0.936 12 3.84 
0.333 		21 
1
Beta Poisson 0.693 11 19.7 
1
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 5.7E-11 2.31E-11 2.94E-11 3.33E-11 1.38E-10 1.61E-10 2.13E-10
ID50/LD50/ETC* 1.22E+10 3.25E+09 4.30E+09 5.02E+09 2.08E+10 2.36E+10 2.99E+10
*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

  • Scott, G. ., Williams, J. C., & Stephenson, E. H. (1987). Animal models in Q fever: pathological responses of inbred mice to phase I Coxiella Burnetii. Journal of General Microbiology, 133, 691-700.