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Experiment ID
245
Pathogen
Rickettsia rickettsi
Agent Strain
KHW
Contains Preferred Model
No
Reference
Meynell, G. G., & Meynell, E. W. (1958). The growth of micro-organisms in vivo with particular reference to the relation between dose and latent period. The Journal of Hygiene, 56(3). https://doi.org/10.1017/s0022172400037827
Exposure Route
intravenous
Response
infection
Host type
C57BL/6 mice
# of Doses
5.00
Dose Units
CFU
Μodel
exponential
k
3.18E-03
LD50/ID50
2.18E+02
Description
C57BL/6 Mice KHW Strain Data
Dose Infected Non-infected Total
5 0 3 3
45 1 5 6
450 6 2 8
4500 7 0 7
45000 7 0 7

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value		 χ20.95,m-k 
p-value
Exponential 0.155 0.0201 4 3.84 
0.887		 9.49 
0.997
Beta Poisson 0.135 3 7.81 
0.987
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 3.18E-03 1.05E-03 1.41E-03 1.63E-03 7.50E-03 7.54E-03 1.46E-02
ID50/LD50/ETC* 2.18E+02 4.74E+01 9.19E+01 9.25E+01 4.25E+02 4.91E+02 6.63E+02
*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

  • Sammons, L. S., Kenyon, R. H., & Pedersen, C. E. (1976). Effect of vaccination schedule on immune response of Macaca mulatta to cell culture-grown Rocky Mountain spotted fever vaccine. Journal of Clinical Microbiology, 4, 3.