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
Description
T1 Strain for serotype PEN 1 data 
Dose Infected Non-infected Total
1 0 5 5
100 0 5 5
1E+04 0 5 5
1E+06 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 0.0918 -0.000599 4 3.84
1 		9.49
0.999
Beta Poisson 0.0924 3 7.81
0.993
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 9.01E-07 4.61E-08 2.21E-07 2.21E-07 4.61E-06 4.61E-06 4.61E-06
ID50/LD50/ETC* 7.69E+05 1.51E+05 1.51E+05 1.51E+05 3.14E+06 3.14E+06 1.51E+07
*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

# of Doses
5.00
Μodel
exponential
LD50/ID50
7.69E+05
Dose Units
CFU
Response
infection
Exposure Route
intragastric
Contains Preferred Model
k
9.01E-07
Agent Strain
type strain for serotype PEN 1
Experiment ID
184
Host type
mice
Description
Strain A3249 Data 
Dose Infected Non-infected Total
810 5 5 10
8100 6 4 10
91000 11 2 13
810000 8 3 11
1.1E+06 15 4 19
1.1E+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 110 108 5 3.84 
0		 11.1 
0
Beta Poisson 2.43 4 9.49 
0.658
Beta-Poisson fits better than exponential; cannot reject good fit for beta-Poisson.

 

Optimized parameters for the the beta-Poisson model, from 10000 bootstrap iterations
Parameter MLE estimate Percentiles
0.5% 2.5% 5% 95% 97.5% 99.5%
α 1.44E-01 2.05E-02 3.61E-02 4.99E-02 2.66E-01 2.98E-01 3.71E-01
N50 8.9E+02 6.54E-10 1.47E-04 8.11E-02 6.69E+03 8.97E+03 1.53E+04

 

 

 

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
6.00
Μodel
beta-Poisson
N50
8.9E+02
LD50/ID50
8.9E+02
Dose Units
CFU
Response
infection
Exposure Route
oral
Contains Preferred Model
a
1.44E-01
Agent Strain
strain A3249
Experiment ID
106
Host type
human
Description
mice (10day old, day1-21) /  Pseudomonas aeruginosa 
Dose Dead Survived Total
2.5 0 10 10
2.5 0 10 10
25 0 16 16
25 0 16 16
250 0 15 15
250 0 15 15
2500 0 13 13
2500 2 11 13
25000 12 4 16
25000 13 3 16
250000 14 3 17
250000 14 3 17

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential

48.6 

 36.3 11 3.84 
 1.65e-09 		19.7
1.09e-06
Beta Poisson

12.3

 10 18.3 
0.265
Beta-Poisson fits better than exponential; cannot reject good fit for beta-Poisson.

 

Optimized parameters for the beta-Poisson model, from 500 bootstrap iterations
Parameter MLE estimate Percentiles
0.5% 2.5% 5% 95% 97.5% 99.5%
α 6.01E-01 3.11E-01 3.69E-01 3.97E-01 1.04E+00 1.20E+00 2.01E+00
N50 1.48E+04 8.01E+03 9.07E+03 1.00E+04 2.29E+04 2.55E+04 2.83E+04

 

 

 

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
12.00
Μodel
beta-Poisson
N50
1.48E+04
LD50/ID50
1.48E+04
Dose Units
CFU
Response
death
Exposure Route
injected in eyelids
Contains Preferred Model
a
6.01E-01
Agent Strain
ATCC 19660
Experiment ID
283,284
Host type
Swiss webster mice(10day old)
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