You are here

Home
Experiment ID
65
Pathogen
Rhinovirus
Contains Preferred Model
1
Reference
Relation between Naturally Acquired Immunity and Infectivity of Two Rhinoviruses in Volunteers
Host type
human
# of Doses
6.00
Μodel
beta-Poisson
a
2.21E-01
N50
1.81E+00
LD50/ID50
1.81E+00
Dose Units
TCID50
Response
infection
Agent Strain
type 39
Exposure Route
intranasal
Experiment Dataset
Description: 
human/type 39 strain SF 299 model data [1]
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

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