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Experiment ID
128
Pathogen
Vibrio cholerae
Agent Strain
Inaba 569B
Contains Preferred Model
No
Reference
McCullough, N. ., & Elsele, C. . (1951). Experimental Human Salmonellosis: I. Pathogenicity of Strains of Salmonella Meleagridis and Salmonella Anatum Obtained from Spray-Dried Whole Egg. Oxford Journal of Infectious Diseases, 88(3). https://doi.org/https://doi.org/10.1093/infdis/88.3.278
Exposure Route
oral (with NaHCO3)
Response
cholera diarrhea
Host type
human
# of Doses
6.00
Dose Units
CFU
Μodel
beta-Poisson
a
1.10E-01
N50
3.88E+07
LD50/ID50
3.88E+07
Description
Human Inaba Strain 569 B 
Dose Cholera diarrhea No cholera diarrhea Total
10 0 2 2
1000 0 4 4
1E+04 0 13 13
1E+05 1 7 8
1E+06 6 17 23
1E+08 1 1 2

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 23.3 22.8 5 3.84 
1.81e-06 		11.1 
0.000297
Beta Poisson 0.504 4 9.49 
0.973
Beta-Poisson fits better than exponential; cannot reject good fit for beta-Poisson.

 

Optimized parameters for the beta-Poisson model, from 10000 bootstrap iterations
Parameter MLE estimate Percentiles
0.5% 2.5% 5% 95% 97.5% 99.5%
α 1.1E-01 1.94E-02 3.52E-02 3.83E-02 6.23E+01 4.54E+02 1.10E+03
N50 3.88E+07 1.13E+06 1.47E+06 1.71E+06 7.30E+11 4.70E+12 6.70E+18

 

Parameter scatter plot for beta Poisson model ellipses signify the 0.9, 0.95 and 0.99 confidence of the parameters.

beta Poisson model plot, with confidence bounds around optimized model

References

  • Hornick, R. B., Music, S. I., Wenzel, R. ., Cash, R. ., Libonati, J. P., Snyder, M. J., & Woodward, T. E. (1971). The Broad Street pump revisited: response of volunteers to ingested cholera vibrios. Bulletin of the New York Academy of Medicine, 47, 10. Retrieved from https://www.ncbi.nlm.nih.gov/pmc/articles/PMC1749960/