Submitted by admin on

Experiment ID
262
Pathogen
Mycobacterium avium
Agent Strain
sub sp. Paratuberculosis Bovine
Contains Preferred Model
Yes
Reference
Nisbet, D. I., Gilmour, N. J., & Brotherston, J. G. (1962). Quantitative studies of Mycobacterium johnei in tissues of sheep. III. Intestinal histopathology. Journal of Comparative Pathology, 72, 80.
Exposure Route
oral
Response
infection
Host type
deer
# of Doses
3.00
Dose Units
CFU
Μodel
exponential
k
6.93E-04
LD50/ID50
1000
Description
Dose response data
Dose Infected Non-infected Total
1000 8 8 16
1E+07 16 0 16
1E+09 16 0 16

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 3.07e-05 7.15e-06 2 3.84 
0.998 		5.99 
1
Beta Poisson 2.36e-05 1 3.84 
0.996
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 6.93E-04 2.08E-04 2.88E-04 3.75E-04 1.16E-03 1.39E-03 1.67E-03
ID50/LD50/ETC* 1E+03 4.14E+02 5.00E+02 5.96E+02 1.85E+03 2.41E+03 3.34E+03
*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

  • O’Brien, R. ., Mackintosh, C. G., Bakker, D. ., Kopecna, M. ., Pavlik, I. ., & Griffin, J. F. (2006). Immunological and molecular characterization of susceptibility in relationship to bacterial strain differences in Mycobacterium avium subsp. paratuberculosis infection in the red deer (Cervus elaphus). Infection and Immunity, 74, 3530. Retrieved from http://www.ncbi.nlm.nih.gov/pubmed/16714585