\[P(response)=1-exp(-k\times dose)\]

Description
mice/ H5N1,DKGX/35 strain model data [4]
Dose Dead Survived Total
10 1 4 5
100 3 2 5
1000 5 0 5
1E+04 5 0 5
1E+05 5 0 5
1E+06 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 0.498 0.0917 5 3.84 
0.762 		11.1 
0.992
Beta Poisson 0.406 4 9.49 
0.982
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 1.09E-02 3.14E-03 3.29E-03 4.56E-03 2.78E-02 3.48E-02 5.42E-02
ID50/LD50/ETC* 6.38E+01 1.28E+01 1.99E+01 2.49E+01 1.52E+02 2.11E+02 2.21E+02
*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
6.00
Μodel
exponential
LD50/ID50
6.38E+01
Dose Units
EID50
Response
death
Exposure Route
intranasal
Contains Preferred Model
k
1.09E-02
Agent Strain
H5N1, DKGX/35 strain
Experiment ID
259
Host type
mice
Description
Humans/ type 4 Strain model data 
Dose Infected Non-infected Total
3 0 6 6
10 0 2 2
14 1 1 2
79 2 1 3
400 3 0 3

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 2.14 -0.00118 4 3.84 
1 		9.49 
0.71
Beta Poisson 2.14 3 7.81 
0.544
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 1.51E-02 4.00E-03 5.88E-03 6.35E-03 4.56E-02 4.56E-02 4.56E-02
ID50/LD50/ETC* 4.59E+01 1.52E+01 1.52E+01 1.52E+01 1.09E+02 1.18E+02 1.73E+02
*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
4.59E+01
Dose Units
TCID50
Response
infection
Exposure Route
intranasal
Contains Preferred Model
k
1.51E-02
Agent Strain
type 4
Experiment ID
255
Host type
human
Description
Mice/Naegleria fowleri LEE strain data 
Dose Dead Survived Total
1E+06 4 16 20
2.5E+06 12 8 20
5E+06 14 6 20
1E+07 20 0 20

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 3.47 -0.000862 3 3.84 
1 		7.81 
0.325
Beta Poisson 3.47 2 5.99 
0.177
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 3.07E-07 2.11E-07 2.31E-07 2.41E-07 3.98E-07 4.21E-07 4.68E-07
ID50/LD50/ETC* 2.26E+06 1.48E+06 1.65E+06 1.74E+06 2.88E+06 3.01E+06 3.28E+06
*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
4.00
Μodel
exponential
LD50/ID50
2.26E+06
Dose Units
no of trophozoites
Response
death
Exposure Route
intravenous
Contains Preferred Model
k
3.07E-07
Agent Strain
LEE strain
Experiment ID
254
Host type
mice
Description
mice/ Naegleria fowleri LEE strain model data 
Dose Dead Survived Total
1E+06 4 16 20
2.5E+06 4 6 10
2.5E+06 12 8 20
5E+06 19 1 20
5E+06 14 6 20
1E+07 10 0 10
1E+07 20 0 20

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 8.85 -0.000501 6 3.84 
1 		12.6 
0.182
Beta Poisson 8.85 5 11.1 
0.115
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 3.42E-07 2.57E-07 2.75E-07 2.84E-07 4.15E-07 4.34E-07 4.67E-07
ID50/LD50/ETC* 2.03E+06 1.48E+06 1.60E+06 1.67E+06 2.44E+06 2.52E+06 2.70E+06
*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
7.00
Μodel
exponential
LD50/ID50
2.03E+06
Dose Units
no of trophozoites
Response
death
Exposure Route
intravenous
Contains Preferred Model
k
3.42E-07
Agent Strain
LEE strain
Experiment ID
253, 254
Host type
mice
Description
mice/Naegleria fowleri LEE strain data 
Dose Dead Survived Total
2.5E+06 4 6 10
5E+06 19 1 20
1E+07 10 0 10

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 4.11 -9.67 2 3.84 
1 		5.99 
0.128
Beta Poisson 13.8 1 3.84 
0.000206
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 4.21E-07 2.77E-07 3.04E-07 3.25E-07 5.95E-07 6.79E-07 8.02E-07
ID50/LD50/ETC* 1.64E+06 8.65E+05 1.02E+06 1.16E+06 2.13E+06 2.28E+06 2.50E+06
*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
3.00
Μodel
exponential
LD50/ID50
1.64E+06
Dose Units
no of trophozoites
Response
death
Exposure Route
intravenous
Contains Preferred Model
k
4.21E-07
Agent Strain
LEE strain
Experiment ID
253
Host type
mice
Description
mice/BSE agent model data 
Dose Infected Non-infected Total
0.0186 0 13 13
0.186 4 12 16
1.86 9 5 14
18.6 13 0 13

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 2.78 0.763 3 3.84 
0.382 		7.81 
0.427
Beta Poisson 2.01 2 5.99 
0.365
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 6.93E-01 3.03E-01 3.69E-01 4.16E-01 1.14E+00 1.32E+00 1.70E+00
ID50/LD50/ETC* 1E+00 4.08E-01 5.27E-01 6.08E-01 1.67E+00 1.88E+00 2.29E+00
*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
4.00
Μodel
exponential
LD50/ID50
1
Dose Units
ID50 unit
Response
infection
Exposure Route
unknown type of injection
Contains Preferred Model
k
6.93E-01
Agent Strain
BSE agent
Experiment ID
252
Host type
mice
Description
mice/ scrapie strain C506M3 model data 
Dose Dead Survived Total
125 0 11 11
1250 1 9 10
12500 2 8 10

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 1.34 0.99 2 3.84 
0.32 		5.99 
0.512
Beta Poisson 0.35 1 3.84 
0.554
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 2.4E-05 1.00E-13 1.00E-13 7.23E-06 5.47E-05 5.81E-05 7.44E-05
ID50/LD50/ETC* 2.89E+04 9.32E+03 1.19E+04 1.27E+04 9.58E+04 6.92E+12 6.92E+12
*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
3.00
Μodel
exponential
LD50/ID50
2.89E+04
Dose Units
LD50 i.c.
Response
death
Exposure Route
intraperitoneal
Contains Preferred Model
k
2.4E-05
Agent Strain
scrapie strain C506M3
Experiment ID
251
Host type
mice
Description
C57BL/6 Mice KHW Strain Data
Dose Infected Non-infected Total
5 0 3 3
45 1 5 6
450 6 2 8
4500 7 0 7
45000 7 0 7

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value		 χ20.95,m-k 
p-value
Exponential 0.155 0.0201 4 3.84 
0.887		 9.49 
0.997
Beta Poisson 0.135 3 7.81 
0.987
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 3.18E-03 1.05E-03 1.41E-03 1.63E-03 7.50E-03 7.54E-03 1.46E-02
ID50/LD50/ETC* 2.18E+02 4.74E+01 9.19E+01 9.25E+01 4.25E+02 4.91E+02 6.63E+02
*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
2.18E+02
Dose Units
CFU
Response
infection
Exposure Route
intravenous
Contains Preferred Model
k
3.18E-03
Agent Strain
KHW
Experiment ID
245
Host type
C57BL/6 mice
Description
Guinea pigs/ Philadelphia 1 Strain model data
Dose Dead Survived Total
1E+04 1 4 5
15000 0 3 3
2E+04 5 2 7
5E+04 3 0 3
1E+05 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 5.85 -0.000131 4 3.84 
1 		9.49 
0.211
Beta Poisson 5.85 3 7.81 
0.119
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 4.17E-05 2.29E-05 2.68E-05 3.00E-05 5.87E-05 6.78E-05 7.86E-05
ID50/LD50/ETC* 1.66E+04 8.82E+03 1.02E+04 1.18E+04 2.31E+04 2.59E+04 3.03E+04
*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
1.66E+04
Dose Units
CFU
Response
death
Exposure Route
inhalation
Contains Preferred Model
k
4.17E-05
Agent Strain
Philadelphia 1
Experiment ID
243
Host type
guinea pig
Description
Dose response data
Dose Dead Survived Total
200 0 10 10
4000 1 9 10
1E+04 1 4 5
15000 0 3 3
2E+04 5 2 7
5E+04 12 0 12
5E+04 3 0 3
1E+05 5 0 5
4E+05 16 0 16

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 8.92 -0.000282 8 3.84 
1 		15.5 
0.349
Beta Poisson 8.92 7 14.1 
0.258
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 4.99E-05 3.55E-05 3.87E-05 3.95E-05 6.48E-05 6.76E-05 7.46E-05
ID50/LD50/ETC* 1.39E+04 9.29E+03 1.03E+04 1.07E+04 1.75E+04 1.79E+04 1.95E+04
*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
9.00
Μodel
exponential
LD50/ID50
1.39E+04
Dose Units
CFU
Response
death
Exposure Route
inhalation
Contains Preferred Model
k
4.99E-05
Agent Strain
strain 74/81
Experiment ID
242, 243
Host type
mice
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