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

Description
Humans/ type 4 Strain model data 
Dose Infected Non-infected Total
1 1 2 3
5 3 0 3
11 3 0 3
1000 6 0 6

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 0.487 -0.000723 3 3.84 
1 		7.81 
0.922
Beta Poisson 0.488 2 5.99 
0.784
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 6.07E-01 3.87E-01 3.87E-01 3.87E-01 1.13E+00 1.13E+00 1.13E+00
ID50/LD50/ETC* 1.14E+00 6.11E-01 6.11E-01 6.11E-01 1.79E+00 1.79E+00 1.79E+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
1.14E+00
Dose Units
TCID50
Response
infection
Exposure Route
inhalation
Contains Preferred Model
k
6.07E-01
Agent Strain
type 4
Experiment ID
31
Host type
human
Description
Mouse/ CO92 model data 
Dose Dead Survived Total
2 0 20 20
8 5 15 20
26 13 7 20
74 9 1 10
257 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 3.12 -9.43e-05 4 3.84 
1 		9.49 
0.539
Beta Poisson 3.12 3 7.81 
0.374
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 3.45E-02 2.01E-02 2.28E-02 2.44E-02 4.89E-02 5.18E-02 5.79E-02
ID50/LD50/ETC* 2.01E+01 1.20E+01 1.34E+01 1.42E+01 2.84E+01 3.04E+01 3.44E+01
*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
2.01E+01
Dose Units
CFU
Response
death
Exposure Route
intraperitoneal
Contains Preferred Model
k
3.45E-02
Agent Strain
CO92
Experiment ID
3
Host type
mice
Description
Human/Staphylococcus aureus 
Dose Infected Non-infected Total
2430000 4 16 20
6270000 8 12 20
1.27E+07 13 7 20
2.5E+07 14 6 20
3.34E+07 19 1 20
3.91E+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 5.52 5.36e-05 5 3.84 
0.994 		11.1 
0.356
Beta Poisson 5.52 4 9.49 
0.238
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 7.64E-08 5.67E-08 6.19E-08 6.41E-08 1.00E-07 1.02E-07 1.35E-06
ID50/LD50/ETC* 9.08E+06 2.70E+06 6.79E+06 6.93E+06 1.08E+07 1.12E+07 1.22E+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
6.00
Μodel
exponential
LD50/ID50
9.08E+06
Dose Units
CFU/cm2
Response
infection
Exposure Route
subcutaneous
Contains Preferred Model
k
7.64E-08
Experiment ID
278
Host type
human
Description
Mice/ Aa strain model data
Dose Dead Survived Total
1E+04 0 22 22
1E+05 1 21 22
1E+06 1 10 11
1E+07 16 6 22
1E+08 22 0 22

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 1.27 0.0341 4 3.84 
0.854 		9.49 
0.867
Beta Poisson 1.23 3 7.81 
0.745
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 1.33E-07 6.86E-08 7.91E-08 8.83E-08 2.06E-07 2.24E-07 2.75E-07
ID50/LD50/ETC* 5.22E+06 2.52E+06 3.10E+06 3.37E+06 7.85E+06 8.76E+06 1.01E+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
5.22E+06
Dose Units
CFU
Response
death
Exposure Route
oral
Contains Preferred Model
k
1.33E-07
Agent Strain
Aa strain
Experiment ID
275
Host type
mice
Description

Optimization Output for experiment 274

Monkeys / SCHU S-4 model data 
Dose Dead Survived Total
5 1 5 6
11 3 3 6
32 4 2 6
65 6 0 6

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 1.26 -0.000367 3 3.84 
1 		7.81 
0.738
Beta Poisson 1.26 2 5.99 
0.531
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 4.73E-02 2.28E-02 2.72E-02 2.98E-02 7.81E-02 9.03E-02 1.11E-01
ID50/LD50/ETC* 1.46E+01 6.27E+00 7.67E+00 8.88E+00 2.33E+01 2.55E+01 3.04E+01
*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
1.46E+01
Dose Units
CFU
Response
death
Exposure Route
inhalation
Contains Preferred Model
k
4.73E-02
Agent Strain
SCHU S-4
Experiment ID
274
Host type
monkey
Description
Dose response data
Dose Infected Non-infected Total
1000 8 8 16
1E+07 16 0 16
1E+09 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 3.07e-05 7.15e-06 2 3.84 
0.998 		5.99 
1
Beta Poisson 2.36e-05 1 3.84 
0.996
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-04 2.08E-04 2.88E-04 3.75E-04 1.16E-03 1.39E-03 1.67E-03
ID50/LD50/ETC* 1E+03 4.14E+02 5.00E+02 5.96E+02 1.85E+03 2.41E+03 3.34E+03
*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
1000
Dose Units
CFU
Response
infection
Exposure Route
oral
Contains Preferred Model
k
6.93E-04
Agent Strain
sub sp. Paratuberculosis Bovine
Experiment ID
262
Host type
deer
Description
Mice/MHV-1 strains model data [3]
Dose Dead Survived Total
5 0 5 5
50 1 4 5
500 3 2 5
5000 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 0.606 0.0689 3 3.84 
0.793 		7.81 
0.895
Beta Poisson 0.537 2 5.99 
0.765
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 2.14E-03 6.25E-04 6.55E-04 9.06E-04 6.58E-03 6.58E-03 9.86E-03
ID50/LD50/ETC* 3.24E+02 7.03E+01 1.05E+02 1.05E+02 7.65E+02 1.06E+03 1.11E+03
*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
3.24E+02
Dose Units
PFU
Response
death
Exposure Route
intranasal
Contains Preferred Model
k
2.14E-03
Agent Strain
MHV-1
Experiment ID
261
Host type
A/J mice
Description
Pooled dose response model data [1]
Dose Dead Survived Total
5 0 5 5
50 1 4 5
240 1 2 3
500 3 2 5
800 3 0 3
2400 2 0 2
5000 5 0 5
12000 6 0 6

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 1.75 -0.00181 7 3.84 
1 		14.1 
0.972
Beta Poisson 1.75 6 12.6 
0.941
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 2.46E-03 1.07E-03 1.28E-03 1.35E-03 4.59E-03 5.27E-03 6.80E-03
ID50/LD50/ETC* 2.82E+02 1.02E+02 1.32E+02 1.51E+02 5.13E+02 5.43E+02 6.47E+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
0.00
Μodel
exponential
LD50/ID50
2.82E+02
Dose Units
PFU
Response
death
Exposure Route
intranasal
Contains Preferred Model
k
2.46E-03
Agent Strain
rSARS-CoV
Experiment ID
260, 261
Host type
mice hACE-2 and A/J
Description
mice/rSARS-CoV strain model data [2]
Dose Dead Survived Total
240 1 2 3
800 3 0 3
2400 2 0 2
12000 6 0 6

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 0.968 -0.000923 3 3.84 
1 		7.81 
0.809
Beta Poisson 0.969 2 5.99 
0.616
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 2.97E-03 1.90E-03 1.90E-03 1.90E-03 2.97E-03 2.97E-03 2.97E-03
ID50/LD50/ETC* 2.33E+02 2.33E+02 2.33E+02 2.33E+02 3.64E+02 3.64E+02 3.64E+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
4.00
Μodel
exponential
LD50/ID50
2.33E+02
Dose Units
PFU
Response
death
Exposure Route
intranasal
Contains Preferred Model
k
2.97E-03
Agent Strain
rSARS-CoV
Experiment ID
260
Host type
mice hACE-2
Description
Mice/Nine mile phase I model data 
Dose Dead Survived Total
0.05 0 10 10
0.5 0 10 10
5 0 10 10
50 0 10 10
501 0 10 10
5010 0 10 10
50100 0 10 10
501000 0 10 10
5010000 0 10 10
5.01E+07 0 10 10
5.01E+08 1 9 10
5.01E+09 3 7 10
5.01E+10 9 1 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 1.63 0.936 12 3.84 
0.333 		21 
1
Beta Poisson 0.693 11 19.7 
1
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 5.7E-11 2.31E-11 2.94E-11 3.33E-11 1.38E-10 1.61E-10 2.13E-10
ID50/LD50/ETC* 1.22E+10 3.25E+09 4.30E+09 5.02E+09 2.08E+10 2.36E+10 2.99E+10
*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
13.00
Μodel
exponential
LD50/ID50
1.22E+10
Dose Units
PFU
Response
death
Exposure Route
intraperitoneal
Contains Preferred Model
k
5.7E-11
Agent Strain
Nine mile phase I
Experiment ID
26
Host type
C57BL/6 mice
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