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Experiment ID
48
Pathogen
Giardia duodenalis
Contains Preferred Model
0
Reference
Cross-species transmission of Giardia spp.: inoculation of beavers and muskrats with cysts of human, beaver, mouse, and muskrat origin
Host type
muskrat
# of Doses
5.00
Μodel
exponential
k
3.68E-06
LD50/ID50
1.89E+05
Dose Units
Cysts
Response
infection
Agent Strain
From infected humans
Exposure Route
stomach tube
Experiment Dataset
Description: 
Dose response data [1]
Dose Infected Non-infected Total
30 0 8 8
300 0 7 7
3E+04 0 6 6
125000 2 1 3
5E+05 4 1 5

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value		 χ20.95,m-k 
p-value
Exponential 2.49 0.0417 4 3.84 
0.838		 9.49 
0.646
Beta Poisson 2.45 3 7.81 
0.484
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 3.68E-06 1.13E-06 1.35E-06 1.88E-06 9.60E-06 9.60E-06 9.60E-06
ID50/LD50/ETC* 1.89E+05 7.22E+04 7.22E+04 7.22E+04 3.68E+05 5.14E+05 6.14E+05
*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

  1. Erlandsen, S. L., Sherlock L. A., Januschka M., Schupp D. G., Schaefer F. W., Jakubowski W., et al. (1988).  Cross-species transmission of Giardia spp.: inoculation of beavers and muskrats with cysts of human, beaver, mouse, and muskrat origin. Applied and Environmental Microbiology. 54, 11.