Cryptosporidium hominis: Dose Response Experiments

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General overview

Various species of Cryptosporidium infect most vertebrates. C. parvum infects cattle but can also infect humans; C. hominis appears to be restricted to humans, and began to be recognized in the early 2000s (Hunter 2005) .

ID Exposure Route # of Doses Agent Strain Dose Units Host type Μodel LD50/ID50 Optimized parameters Response type Reference
108 oral 8.00 Iowa strain oocysts human exponential 1.65E+02 k = 4.19E-03 infection
DuPont, H. L., Chappell, C. L., Sterling, C. R., Okhuysen, P. C., Rose, J. B., & Jakubowski, W. . (1995). The infectivity of Cryptosporidium parvum in healthy volunteers. The New England Journal of Medicine, 332, 13. Retrieved from https://www.nejm.org/doi/full/10.1056/NEJM199503303321304
139 oral 8.00 Iowa isolate oocysts human exponential 1.32E+02 k = 5.26E-03 infection
Messner, M. J., Chappell, C. L., & Okhuysen, P. C. (2001). Risk Assessment for Cryptosporidium: A Hierarchical Bayesian Analysis of Human Dose Response Data. Water Research, 35, 16. Retrieved from https://www.sciencedirect.com/science/article/pii/S0043135401001191
140 oral 4.00 TAMU isolate oocysts human exponential 1.21E+01 k = 5.72E-02 infection
Messner, M. J., Chappell, C. L., & Okhuysen, P. C. (2001). Risk Assessment for Cryptosporidium: A Hierarchical Bayesian Analysis of Human Dose Response Data. Water Research, 35, 16. Retrieved from https://www.sciencedirect.com/science/article/pii/S0043135401001191
141 oral 4.00 UCP isolate oocysts human beta-Poisson 1.79E+02 a = 1.45E-01 N50 = 1.79E+02 infection
Coster, T. S., Wolf, M. K., Hall, E. R., Cassels, F. J., Taylor, D. N., Liu, C. T., … McQueen, C. E. (2007). Immune response, ciprofloxacin activity, and gender differences after human experimental challenge by two strains of enterotoxigenic Escherichia coli. Infection and Immunity, 75, 1.
181 oral 4.00 *C. hominis*, TU502 oocysts human beta-Poisson 1.68E+01 a = 2.7E-01 N50 = 1.68E+01 diarrhea
Okhuysen, P. C., Rich, S. M., Chappell, C. L., Grimes, K. A., Widmer, G. ., Feng, X. ., & Tzipori, S. . (2002). Infectivity of a Cryptosporidium parvum Isolate of Cervine Origin for Healthy Adults and Interferon-γ Knockout Mice. Journal of Infectious Diseases, 185, 9. Retrieved from https://academic.oup.com/jid/article/185/9/1320/937719
183 oral 4.00 Moredun isolate oocysts human beta-Poisson 4.55E+02 a = 1.14E-01 N50 = 4.55E+02 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:
oral
# of Doses:
8.00
Agent Strain:
Iowa strain
Dose Units:
oocysts
Host type:
human
Μodel:
exponential
LD50/ID50:
1.65E+02
Optimized parameters: k = 4.19E-03
Response type:
infection
Reference:
The infectivity of Cryptosporidium parvum in healthy volunteers
Iowa strain data 
Dose Infected Non-infected Total
30 1 4 5
100 3 5 8
300 2 1 3
500 5 1 6
1000 2 0 2
1E+04 3 0 3
1E+05 1 0 1
1E+06 1 0 1

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 0.503 0.131 7 3.84 
0.717 		14.1 
0.999
Beta Poisson 0.372 6 12.6 
0.999
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 4.19E-03 1.80E-03 2.22E-03 2.46E-03 7.52E-03 8.52E-03 1.12E-02
ID50/LD50/ETC* 1.65E+02 6.17E+01 8.14E+01 9.22E+01 2.82E+02 3.12E+02 3.84E+02
*Not a parameter of the exponential model; however, it facilitates comparison with other models.
Parameter histogram for exponential model (uncertainty of the parameter)
Parameter histogram for exponential model (uncertainty of the parameter)
Exponential model plot, with confidence bounds around optimized model
Exponential model plot, with confidence bounds around optimized model
Exposure Route:
oral
# of Doses:
8.00
Agent Strain:
Iowa isolate
Dose Units:
oocysts
Host type:
human
Μodel:
exponential
LD50/ID50:
1.32E+02
Optimized parameters: k = 5.26E-03
Response type:
infection
Reference:
Risk Assessment for Cryptosporidium: A Hierarchical Bayesian Analysis of Human Dose Response Data
Iowa isolate data 
Dose Infected Not infected Total
30 2 3 5
100 4 4 8
300 2 1 3
500 5 1 6
1000 2 0 2
1E+04 3 0 3
1E+05 1 0 1
1E+06 1 0 1

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 3.07 2 7 3.84 
0.157 		14.1 
0.879
Beta Poisson 1.07 6 12.6 
0.983
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 5.26E-03 2.25E-03 2.75E-03 3.08E-03 1.03E-02 1.19E-02 1.60E-02
ID50/LD50/ETC* 1.32E+02 4.33E+01 5.80E+01 6.72E+01 2.25E+02 2.52E+02 3.08E+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

Highest quality
Exposure Route:
oral
# of Doses:
4.00
Agent Strain:
TAMU isolate
Dose Units:
oocysts
Host type:
human
Μodel:
exponential
LD50/ID50:
1.21E+01
Optimized parameters: k = 5.72E-02
Response type:
infection
Reference:
Risk Assessment for Cryptosporidium: A Hierarchical Bayesian Analysis of Human Dose Response Data
TAMU data 
Dose Infected Non-infected Total
10 2 1 3
30 2 1 3
100 3 0 3
500 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 1.07 0.21 3 3.84 
0.647 		7.81 
0.783
Beta Poisson 0.864 2 5.99 
0.649
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 5.72E-02 1.80E-02 1.92E-02 2.46E-02 2.65E+00 2.65E+00 2.65E+00
ID50/LD50/ETC* 1.21E+01 2.61E-01 2.61E-01 2.61E-01 2.82E+01 3.61E+01 3.84E+01
*Not a parameter of the exponential model; however, it facilitates comparison with other models.

Exponential model plot, with confidence bounds around optimized model

Parameter histogram for exponential model (uncertainty of the parameter)

 

 

Exposure Route:
oral
# of Doses:
4.00
Agent Strain:
UCP isolate
Dose Units:
oocysts
Host type:
human
Μodel:
beta-Poisson
LD50/ID50:
1.79E+02
Optimized parameters: a = 1.45E-01 N50 = 1.79E+02
Response type:
infection
Reference:
Immune response, ciprofloxacin activity, and gender differences after human experimental challenge by two strains of enterotoxigenic Escherichia coli
UCP isolate 
Dose Infected Non-infected Total
500 3 2 5
1000 2 1 3
5000 2 3 5
1E+04 4 0 4

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 11.5 6.99 3 3.84 
0.0082 		7.81 
0.00945
Beta Poisson 4.48 2 5.99 
0.107
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 1.45E-01 9.81E-04 4.63E-03 9.53E-03 1.27E+00 1.46E+02 9.10E+02
N50 1.79E+02 2.74E-13 7.60E-10 4.54E-09 2.62E+03 3.22E+03 6.10E+03

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:
oral
# of Doses:
4.00
Agent Strain:
*C. hominis*, TU502
Dose Units:
oocysts
Host type:
human
Μodel:
beta-Poisson
LD50/ID50:
1.68E+01
Optimized parameters: a = 2.7E-01 N50 = 1.68E+01
Response type:
diarrhea
Reference:
Infectivity of a Cryptosporidium parvum Isolate of Cervine Origin for Healthy Adults and Interferon-γ Knockout Mice
TU502 data 
Dose Diarrhea Not diarrhea Total
10 2 3 5
30 3 2 5
100 5 2 7
500 3 1 4

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 11.6 11.5 3 3.84 
0.000708 		7.81 
0.00894
Beta Poisson 0.119 2 5.99 
0.942
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 2.7E-01 9.83E-04 9.85E-04 2.03E-03 6.60E+00 6.70E+02 3.19E+03
N50 1.68E+01 3.41E-16 9.86E-09 1.68E-06 7.15E+01 9.76E+01 6.59E+02

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:
oral
# of Doses:
4.00
Agent Strain:
Moredun isolate
Dose Units:
oocysts
Host type:
human
Μodel:
beta-Poisson
LD50/ID50:
4.55E+02
Optimized parameters: a = 1.14E-01 N50 = 4.55E+02
Response type:
infection
Reference:
Experimental Campylobacter jejuni Infection of Adult Mice
Moredunn isolate data 
Dose Infected Non-infected Total
100 2 2 4
300 2 3 5
1000 1 2 3
3000 3 1 4

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 7.37 6.16 3 3.84 
0.0131 		7.81 
0.0611
Beta Poisson 1.21 2 5.99 
0.546
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 1.14E-01 9.79E-04 9.81E-04 9.82E-04 1.17E+03 2.25E+03 5.52E+03
N50 4.55E+02 2.13E-09 2.19E-06 1.55E-05 5.62E+05 3.59E+09 1.43E+16

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
pigs/ Porcine enterovirus type 7 
Dose infected Non-infected Total
250 4 2 6
250 3 3 6
1000 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 0.614 -5.49e-05 2 3.84 
1 		5.99 
0.736
Beta Poisson 0.614 1 3.84 
0.433
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 3.74E-03 1.83E-03 2.19E-03 2.19E-03 5.62E-03 5.62E-03 5.62E-03
ID50/LD50/ETC* 1.85E+02 1.23E+02 1.23E+02 1.23E+02 3.16E+02 3.16E+02 3.79E+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
3.00
Μodel
exponential
LD50/ID50
1.85E+02
Dose Units
PFU
Response
infection
Exposure Route
oral
Contains Preferred Model
k
3.74E-03
Agent Strain
porcine, PE7-05i
Experiment ID
63
Host type
pig
Description
Pigs/ Porcine enterovirus type 3 Strain model data 
Dose infected Non-infected Total
100 0 3 3
250 0 6 6
1000 2 4 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 1.24 -0.000314 2 3.84 
1 		5.99 
0.537
Beta Poisson 1.24 1 3.84 
0.265
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 2.96E-04 2.40E-17 2.40E-17 2.40E-17 7.19E-04 7.19E-04 1.02E-03
ID50/LD50/ETC* 2.34E+03 6.77E+02 9.64E+02 9.64E+02 2.89E+16 2.89E+16 2.89E+16
*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
2.34E+03
Dose Units
PFU
Response
infection
Exposure Route
oral
Contains Preferred Model
k
2.96E-04
Agent Strain
porcine, PE3-ECPO-6
Experiment ID
62
Host type
pig
Description
Dose response data 
Dose Infected Non-infected Total
48 0 6 6
454 2 4 6
4460 1 2 3
550000 2 1 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 22.5 21.3 3 3.84 
3.97e-06 		7.81 
5.14e-05
Beta Poisson 1.22 2 5.99 
0.544
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 1.37E-01 1.34E-02 2.24E-02 4.22E-02 3.39E+00 2.21E+02 2.14E+03
N50 1.46E+04 5.09E+02 8.20E+02 1.06E+03 1.71E+08 8.25E+11 1.62E+18

 

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
4.00
Μodel
beta-Poisson
N50
1.46E+04
LD50/ID50
1.46E+04
Dose Units
Cysts
Response
infection
Exposure Route
oral
Contains Preferred Model
a
1.37E-01
Agent Strain
From infected humans
Experiment ID
47
Host type
beaver
Description
Dose response data 
Dose Infected Non-infected Total
1 0 5 5
10 2 0 2
25 6 14 20
100 2 0 2
1E+04 3 0 3
1E+05 3 0 3
3E+05 3 0 3
1E+06 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 8.37 -0.000469 7 3.84 
1 		14.1 
0.301
Beta Poisson 8.37 6 12.6 
0.212
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 1.99E-02 8.50E-03 1.05E-02 1.26E-02 2.92E-02 3.29E-02 3.71E-02
ID50/LD50/ETC* 3.48E+01 1.87E+01 2.11E+01 2.38E+01 5.49E+01 6.60E+01 8.15E+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
8.00
Μodel
exponential
LD50/ID50
3.48E+01
Dose Units
Cysts
Response
infection
Exposure Route
oral
Contains Preferred Model
k
1.99E-02
Agent Strain
From an infected human
Experiment ID
46
Host type
human
Description
Humans model data 
Dose Infected Non Infected Total
1 1 7 8
10 3 7 10
100 2 2 4
1000 0 2 2
1E+04 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 27.8 22.8 4 3.84 
1.81e-06 		9.49 
 1.36e-05
Beta Poisson 5.04 3 7.81 
0.169
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 1.01E-01 1.20E-03 2.60E-02 3.61E-02 2.12E-01 2.57E-01 3.08E-01
N50 3.41E+02 5.02E+00 1.73E+01 2.61E+01 1.48E+05 2.08E+06 1.19E+10

 

 

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
3.41E+02
LD50/ID50
3.41E+02
Dose Units
Cysts
Response
infection
Exposure Route
oral
Contains Preferred Model
a
1.01E-01
Agent Strain
From an infected human
Experiment ID
45
Host type
human
Description
Escherichia coli (ETEC O111 (in paper as “E. coli 111, B4”)) in the human model data 
Dose Slight to severe illness No slight to severe illness Total
7E+06 7 4 11
5.31E+08 8 4 12
6.5E+09 11 0 11
9E+09 12 0 12

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 39.8 33.4 3 3.84 
7.5e-09 		7.81 
1.19e-08
Beta Poisson 6.38 2 5.99 
0.0412
Neither the exponential nor beta-Poisson fits well; beta-Poisson is less bad.

 

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 2.63E-01 9.92E-04 7.95E-02 1.00E-01 4.71E-01 5.53E-01 1.48E+01
N50 3.56E+06 6.89E-01 1.15E+03 2.08E+03 1.85E+07 2.49E+07 4.18E+07
beta Poisson model plot, with confidence bounds around optimized model
beta Poisson model plot, with confidence bounds around optimized model

 

Parameter scatter plot for beta Poisson model ellipses signify the 0.9, 0.95 and 0.99 confidence of the parameters.
Parameter scatter plot for beta Poisson model ellipses signify the 0.9, 0.95 and 0.99 confidence of the parameters.

 

 

# of Doses
4.00
Μodel
beta-Poisson
N50
3.56E+06
LD50/ID50
3.56E+06
Dose Units
CFU
Response
slight to severe illness
Exposure Route
oral
Contains Preferred Model
a
2.63E-01
Agent Strain
ETEC O111 (in paper as "E. coli 111, B4")
Experiment ID
43
Host type
human
Experiment Dataset
Description
Escherichia coli (ETEC O55 (in paper as “type 55, B5”)) in the human model data 
Dose Slight to severe illness No slight to severe illness Total
1.43E+08 6 2 8
1.73E+09 5 2 7
5.33E+09 6 2 8
1.6E+10 7 1 8

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 35 34.5 3 3.84 
4.2e-09 		7.81 
1.21e-07
Beta Poisson 0.486 2 5.99 
0.784
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 8.7E-02 9.87E-04 1.02E-03 1.67E-02 3.57E-01 4.67E-01 7.83E-01
N50 2.05E+05 3.40E-09 4.31E-06 2.31E-04 1.30E+08 2.09E+08 5.13E+08
Parameter scatter plot for beta Poisson model ellipses signify the 0.9, 0.95 and 0.99 confidence of the parameters.
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
beta Poisson model plot, with confidence bounds around optimized model
# of Doses
4.00
Μodel
beta-Poisson
N50
2.05E+05
LD50/ID50
2.05E+05
Dose Units
CFU
Response
slight to severe illness
Exposure Route
oral
Contains Preferred Model
a
8.7E-02
Agent Strain
ETEC O55 (in paper as “type 55, B5”)
Experiment ID
42
Host type
human
Experiment Dataset
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
Dose response data
Dose Infected Non-infected Total
100 6 6 12
1E+05 6 6 12
1E+08 10 2 12

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom		 χ20.95,1 
p-value 		χ20.95,m-k 
p-value
Exponential 193 192 2 3.84 
0 		5.99 
0
Beta Poisson 1.43 1 3.84 
0.231
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 5.79E-02 9.94E-04 9.78E-03 1.25E-02 1.27E-01 1.42E-01 1.87E-01
N50 4.8E+02 3.44E-13 5.25E-08 1.89E-05 5.61E+04 1.50E+05 4.41E+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
3.00
Μodel
beta-Poisson
N50
4.8E+02
LD50/ID50
4.8E+02
Dose Units
CFU
Response
infection
Exposure Route
oral
Contains Preferred Model
a
5.79E-02
Agent Strain
sub sp. Paratuberculosis IOI strain
Experiment ID
263
Host type
cheviots
Subscribe to oral