Description
Host
black-spotted and spiny frogs
# of Doses
7.00
Μodel
beta-Poisson
N50
2.37E+05 [1.06E+05, 5.49E+05], β = 86,351 [16,154, 632,550]
LD50/ID50
2.37E+05 [1.06E+05, 5.49E+05]
Dose Units
CFU
Response
death
Exposure Route
Intramuscular injection and Intraperitoneal injection
Contains Preferred Model
Status
pooled
a
0.52 [0.27, 1.53]
Experiment ID
ek_ pooled
Description
Intraperitoneal2.png
Host
Balb/c Mice
# of Doses
4.00
Μodel
exponential
LD50/ID50
4.23E+08
Dose Units
CFU
Response
death
Exposure Route
intraperitoneal
Contains Preferred Model
Status
fitted
k
1.64E-09
Agent Strain
E. anopheles
Experiment ID
ek_ intraperitoneal2
Experiment Dataset
Description
intraperitoneal
Host
Spiny Frogs
# of Doses
4.00
Μodel
beta-Poisson
N50
4.23E+08 (β = 137,348)
LD50/ID50
4.23E+08
Dose Units
CFU
Response
death
Exposure Route
intraperitoneal
Contains Preferred Model
Status
fitted
a
0.72
Agent Strain
E. miricola
Experiment ID
ek_intraperitoneal
Experiment Dataset
Description

 

Goodness of Fit and Model Selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 9.88 6.48 5 3.84 
0.011 		11.1
0.0788
beta Poisson 3.4 4 9.49
0.494
beta-Poisson fits better than exponential; can not reject good fit for beta-Poisson

 

 

 

 

 

 

 

Bootstrapped Parameter Estimates
Parameter MLE Estimate 0.5% 2.5% 5% 95% 97.5% 99.5%
α 6.95E-01 2.69E-01 3.39E-01 3.78E-01 2.56E+0 2.28E+01 1.18E+03
N50 3.39E+03 3.58E+01 2.47E+02 4.67E+02 1.09E+04 1.26E+04 1.85E+04

 

 

 

 

 

 

Host
C57Bl/6J mice
# of Doses
6.00
Μodel
beta-Poisson
N50
277
Dose Units
CFU
Response
infection
Exposure Route
oral
Contains Preferred Model
Status
fitted
a
0.253
Agent Strain
F5817
Experiment ID
292
Experiment Dataset
Dose (CFU) Infected Non-Infected Total
5500 7 3 10
32400 7 3 10
55000 9 1 10
251000 10 0 10
550000 10 0 10
2820000 10 0 10
Description
Table 1: Goodness of fit
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 16.88 0.001 6 3.84 
0.98 		12.6
0.009
Beta Poisson 16.88 5 11.1
0.004
Neither model provides a good fit to the data

 

Table 2: Multi-hit dose response statistics
Model Deviance Δ DF χ20.95,df χ20.95,1 Good fit? Parameters LD50
Multi-hit 1.09 15.69 5 11.1 3.84 Yes k = 4.12 × 10−6 kmin=11 2,588,047

 

Figure 1. The multi-hit dose response model with 95% and 99% confidence bands
Figure 1. The multi-hit dose response model with 95% and 99% confidence bands

 

 

Figure 2. Histogram of the k parameter estimates after bootstrapping
Figure 2. Histogram of the k parameter estimates after bootstrapping

 

# of Doses
7.00
Μodel
exponential
Dose Units
CFU
Response
death
Exposure Route
intratracheal
Contains Preferred Model
Status
fitted
k
3.22E-7
Agent Strain
PA01
Experiment ID
Ojielo2003
Host type
C57BL/6 mice
Experiment Dataset
Dose (CFU) Positive Response Negative Response
80000 0 10
400000 0 10
900000 0 10
2000000 2 5
3000000 6 4
4500000 10 0
8000000 10 0
Description
Strain 81-176 model data 
Dose Campylobacteriosis Non-campylobacteriosis Total
1E+05 3 2 5
1E+07 2 3 5
1E+09 33 3 36

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value		 χ20.95,m-k 
p-value
Exponential 50.1 46.6 2 3.84
8.56e-12 		5.99
1.29e-11
Beta Poisson 3.51 1 3.84
0.061
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 1.66E-01 2.92E-02 4.29E-02 6.44E-02 3.32E-01 4.07E-01 1.16E+00
N50 1.23E+05 6.24E-10 4.60E-05 9.04E-01 2.00E+06 6.12E+06 3.96E+07

 

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

# of Doses
3.00
Μodel
beta-Poisson
N50
1.23E+05
LD50/ID50
1.23E+05
Dose Units
CFU
Response
campylobacteriosis
Exposure Route
oral (w. 2g NaHCO3)
Contains Preferred Model
a
1.66E-01
Agent Strain
strain 81-176
Experiment ID
188
Host type
human
Description
T3 Strain for serotype PEN 3 model data 
Dose Infected Non-infected Total
1E+04 2 3 5
1E+05 4 1 5
1E+06 2 3 5
1E+07 3 2 5
1E+08 5 0 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 45.6 40.2 4 3.84
2.25e-10 		9.49
2.92e-09
Beta Poisson 5.41 3 7.81
0.144
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 1.17E-01 1.06E-02 1.79E-02 2.48E-02 2.79E-01 3.29E-01 4.72E-01
N50 3.14E+04 3.29E-09 2.55E-05 2.53E-02 4.21E+05 9.69E+05 3.68E+06

 

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

# of Doses
5.00
Μodel
beta-Poisson
N50
3.14E+04
LD50/ID50
3.14E+04
Dose Units
CFU
Response
infection
Exposure Route
intragastric
Contains Preferred Model
a
1.17E-01
Agent Strain
type strain for serotype PEN 3
Experiment ID
186
Host type
mice
Description
T2 Strain for serotype PEN 2 model data 
Dose Infected Non-infected Total
1E+04 1 4 5
1E+05 3 2 5
1E+06 4 1 5
1E+07 4 1 5
1E+08 5 0 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 25.4 24.5 4 3.84
7.59e-07 		9.49
4.13e-05
Beta Poisson 0.969 3 7.81
0.809
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 3.19E-01 8.29E-02 1.26E-01 1.49E-01 1.05E+01 5.53E+02 1.52E+03
N50 6.68E+04 4.06E+02 5.55E+03 1.04E+04 3.58E+05 4.65E+05 8.48E+05

 

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

# of Doses
5.00
Μodel
beta-Poisson
N50
6.68E+04
LD50/ID50
6.68E+04
Dose Units
CFU
Response
infection
Exposure Route
intragastric
Contains Preferred Model
a
3.19E-01
Agent Strain
type strain for serotype PEN 2
Experiment ID
185
Host type
mice
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