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Experiment ID
65
Pathogen
Rhinovirus
Agent Strain
type 39
Contains Preferred Model
Yes
Reference
Hendley, J. O., Edmondson, W. P., & Gwaltney, J. M. (1972). Relation between Naturally Acquired Immunity and Infectivity of Two Rhinoviruses in Volunteers. Journal of Infectious Diseases, 125, 3.
Exposure Route
intranasal
Response
infection
Host type
human
# of Doses
6.00
Dose Units
TCID50
Μodel
beta-Poisson
a
2.21E-01
N50
1.81E+00
LD50/ID50
1.81E+00
Description
human/type 39 strain SF 299 model data 
Dose Infected Non-infected Total
0.05 0 11 11
0.15 2 7 9
0.5 8 16 24
5 5 11 16
50 47 15 62

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 50.3 44.3 4 3.84 
2.76e-11 		9.49 
3.06e-10
Beta Poisson 6.01 3 7.81 
0.111
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 2.24E-01 9.88E-04 1.40E-01 1.53E-01 3.71E-01 4.27E-01 7.63E-01
N50 3.29E+00 1.90E-02 1.34E+00 1.59E+00 7.67E+00 9.27E+00 1.59E+01

 

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

  • Hendley, O. ., Edmondson, W. P. , Jr, & Gwaltney, J. M. , Jr. (1972). Relation between naturally acquired immunity and infectivity of two rhinoviruses in volunteers. Journal of Infectious Diseases, 125, 243–248.