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

Campylobacter jejuni and Campylobacter coli: Dose Response Models

Submitted by admin on

General overview

Campylobacter are microaerophilic gram-negative curved or spiral rods with a polar flagellum. C. jejuni and C. coli are common causes of gastroenteritis .

ID Exposure Route # of Doses Agent Strain Dose Units Host type Μodel LD50/ID50 Optimized parameters Response type Reference
184 intragastric 5.00 type strain for serotype PEN 1 CFU mice exponential 7.69E+05 k = 9.01E-07 infection
Blaser, M. J., Duncan, D. J., Warren, G. H., & W-ll, W. . (1983). Experimental Campylobacter jejuni Infection of Adult Mice. Infection and Immunity, 39, 2.
185 intragastric 5.00 type strain for serotype PEN 2 CFU mice beta-Poisson 6.68E+04 a = 3.19E-01 N50 = 6.68E+04 infection
Blaser, M. J., Duncan, D. J., Warren, G. H., & W-ll, W. . (1983). Experimental Campylobacter jejuni Infection of Adult Mice. Infection and Immunity, 39, 2.
186 intragastric 5.00 type strain for serotype PEN 3 CFU mice beta-Poisson 3.14E+04 a = 1.17E-01 N50 = 3.14E+04 infection
Blaser, M. J., Duncan, D. J., Warren, G. H., & W-ll, W. . (1983). Experimental Campylobacter jejuni Infection of Adult Mice. Infection and Immunity, 39, 2.
Exposure Route:
intragastric
# of Doses:
5.00
Agent Strain:
type strain for serotype PEN 1
Dose Units:
CFU
Host type:
mice
Μodel:
exponential
LD50/ID50:
7.69E+05
Optimized parameters: k = 9.01E-07
Response type:
infection
Reference:
Experimental Campylobacter jejuni Infection of Adult Mice
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

Exposure Route:
intragastric
# of Doses:
5.00
Agent Strain:
type strain for serotype PEN 2
Dose Units:
CFU
Host type:
mice
Μodel:
beta-Poisson
LD50/ID50:
6.68E+04
Optimized parameters: a = 3.19E-01 N50 = 6.68E+04
Response type:
infection
Reference:
Experimental Campylobacter jejuni Infection of Adult Mice
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

Exposure Route:
intragastric
# of Doses:
5.00
Agent Strain:
type strain for serotype PEN 3
Dose Units:
CFU
Host type:
mice
Μodel:
beta-Poisson
LD50/ID50:
3.14E+04
Optimized parameters: a = 1.17E-01 N50 = 3.14E+04
Response type:
infection
Reference:
Experimental Campylobacter jejuni Infection of Adult Mice
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

Description
Model data for rotavirus (OSU (ATCC VR892)) in the pig 
Dose Infected Non-infected Total
0.9 0 3 3
9 0 3 3
90 5 1 6
900 3 0 3
2800 2 0 2
9000 3 0 3
56000 2 0 2
1.1E+07 2 0 2
2.2E+08 2 0 2
4.5E+09 2 0 2

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 1.1 -0.0019 9 3.84 
1 		16.9 
0.999
Beta Poisson 1.1 8 15.5 
0.998
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 1.73E-02 4.64E-03 7.21E-03 7.21E-03 3.28E-02 3.28E-02 3.28E-02
ID50/LD50/ETC* 4E+01 2.11E+01 2.11E+01 2.11E+01 9.61E+01 9.61E+01 1.49E+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
10.00
Μodel
exponential
LD50/ID50
4E+01
Dose Units
particles
Response
infection
Exposure Route
intragastric
Contains Preferred Model
k
1.73E-02
Agent Strain
OSU (ATCC VR892)
Experiment ID
68
Host type
pig
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