$$P(response)=1-[1+dose\frac{2^{\frac{1}{a}}-1}{N^{50}} ]^{-a}$$

# of Doses
5.00
Μodel
beta-Poisson
N50
4.67E+07
LD50/ID50
4.67E+07
Dose Units
CFU
Response
fetal mortality
Exposure Route
intubation
Contains Preferred Model
Status
fitted
a
0.0936
Experiment ID
290
Host type
guinea pig
Experiment Dataset
# of Doses
8.00
Μodel
beta-Poisson
N50
8.26E+08
LD50/ID50
8.26E+08
Dose Units
CFU
Response
stillbirths
Exposure Route
intubation
Contains Preferred Model
Status
fitted
a
0.04
Experiment ID
289
Host type
rhesus monkey
Experiment Dataset
Description

Červa (1967a,b) studied white mice of the Czechoslovak H-strain weighing 13-15 grams inoculated intranasally by placing 0.02 mL of the A1 strain of Acanthamoeba over the nares of the ethyl-ether anesthetized mice (Cerva, 1967b).

The beta-Poisson model provided the best fit to the data. 

 

Cerva, L. (1967b). Intranasal, Intrapulmonary, and Intracardial Inoculation of Experimental Animals with Hartmanella castellanii. Folia Parasitologica (Praha), 14, 207–215.

# of Doses
6.00
Μodel
beta-Poisson
N50
14,690 or 14,538
Dose Units
no of trophozoites
Response
death
Exposure Route
intranasal
Contains Preferred Model
Status
fitted
a
0.161
Agent Strain
A. culbertsoni (A1)
Experiment ID
Acanth_Intranasal1
Host type
mice
Experiment Dataset
Dose (no. of organisms) Positive Response Negative Response Total Subjects/Responses
3 0 20 20
30 2 18 20
300 1 19 20
3000 9 11 20
Description
Mice/Naegleria fowleri LEE strain data
Dose Dead Survived Total
1E+02 0 10 10
1E+02 0 10 10
1E+02 0 10 10
1E+03 0 10 10
1E+03 1 9 10
1E+03 1 9 10
1E+04 1 9 10
1E+04 4 6 10
1E+04 4 6 10
1E+05 4 6 10
1E+05 6 4 10
1E+05 7 3 10
1E+06 7 3 10

 

Goodness of fit for pooled data
Model Deviance Degrees 
of freedom

χ20.95,1

 

 χ20.95,m-k 
 
Beta Poisson 7.4 11 19.68 0.77
Plot of beta-Poisson model for pooled data of CD1 mice swimming for 5, 10, and 20 minutes with upper and lower 95% and 99% confidence.
Plot of beta-Poisson model for pooled data of CD1 mice swimming for 5, 10, and 20 minutes with upper and lower 95% and 99% confidence.
Bootstrapped distribution of beta-Poisson parameter estimates for pooled data of CD1 mice swimming for 5, 10, and 20 minutes; the center marker (X) represents the maximum likelihood estimate.
Bootstrapped distribution of beta-Poisson parameter estimates for pooled data of CD1 mice swimming for 5, 10, and 20 minutes; the center marker (X) represents the maximum likelihood estimate.

 

 
Host
CD1 Mice
# of Doses
13.00
Μodel
beta-Poisson
N50
5.79E+04
LD50/ID50
5.79E+04
Dose Units
no of trophozoites
Response
death
Exposure Route
Swimming for 5
10 or 20 minutes
Contains Preferred Model
Status
pooled
a
0.226
Experiment ID
954,955,956,957
Experiment Dataset
Description
Mice/Naegleria fowleri LEE strain data
Dose Dead Survived Total
1E+02 0 10 10
1E+03 1 9 10
1E+04 4 6 10
1E+05 7 3 10

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom

χ20.95,1

 

 χ20.95,m-k 
 
Exponential 6.13 5.90 3 3.84 7.81
Beta Poisson 0.23 2 5.99
Beta-Poisson is preferred to Exponential;
Naegleria fowleri infection acquired by mice through swimming in amebae-contaminated water
Host
CD1 Mice
# of Doses
4.00
Μodel
beta-Poisson
N50
1.98E+04
LD50/ID50
1.98E+04
Dose Units
no of trophozoites
Response
death
Exposure Route
Swimming for 20 minutes
Contains Preferred Model
Status
fitted
a
0.35
Agent Strain
LEE
Experiment ID
957
Experiment Dataset
Description
Mice/Naegleria fowleri LEE strain data
Dose Dead Survived Total
1E+02 0 10 10
1E+03 1 9 10
1E+04 4 6 10
1E+05 6 4 10

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom

χ20.95,1

 

 χ20.95,m-k 
 
Exponential 7.89 7.55 3 3.84 7.81
Beta Poisson 0.33 2 5.99
Beta-Poisson is preferred to Exponential;

 

Beta-Poisson model plot, with confidence bounds around optimized model
Beta-Poisson model plot, with confidence bounds around optimized model

 

Host
CD1 Mice
# of Doses
4.00
Μodel
beta-Poisson
N50
3.05E+04
LD50/ID50
3.05E+04
Dose Units
no of trophozoites
Response
death
Exposure Route
Swimming for 10 minutes
Contains Preferred Model
Status
fitted
a
0.241
Agent Strain
LEE
Experiment ID
956
Experiment Dataset
Description
Mice/Naegleria fowleri LEE strain data
Dose Dead Survived Total
1E+02 0 10 10
1E+03 0 10 10
1E+04 1 9 10
1E+05 4 6 10
1E+05 7 3 10

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom

χ20.95,1

 

 χ20.95,m-k 
 
Exponential 6.13 5.88 4 3.84  9.49
Beta Poisson 0.25 3  7.81
Beta-Poisson is preferred to Exponential;
Beta-Poisson model plot with confidence bounds around optimized model
Beta-Poisson model plot with confidence bounds around optimized model
Host
CD1 Mice
# of Doses
5.00
Μodel
beta-Poisson
N50
1.99E+05
LD50/ID50
1.99E+05
Dose Units
no of trophozoites
Response
death
Exposure Route
Swimming 5 minutes
Contains Preferred Model
Status
fitted
a
0.353
Agent Strain
LEE
Experiment ID
955
Experiment Dataset
Description
Mice/Naegleria fowleri LEE strain data
Dose Dead Survived Total
1E+03 7 3 10
1E+04 8 2 10
1E+05 10 0 10
1E+06 10 0 10

 

Goodness of fit and model selection
Model Deviance Δ Degrees 
of freedom

χ20.95,1

 

 χ20.95,m-k 
 
Exponential 11.28 9.64 3 3.84 7.81 
0.325
Beta Poisson 1.64 2 5.99 
0.177
Beta-Poisson is preferred to Exponential;
Beta-Poisson model plot
Beta-Poisson model plot
# of Doses
4.00
Μodel
beta-Poisson
N50
422
LD50/ID50
422
Dose Units
no of trophozoites
Response
death
Exposure Route
intranasal
Contains Preferred Model
Status
fitted
a
0.536
Experiment ID
954
Host type
A/J mice
Experiment Dataset
Description
myco
 
Host
Male golden Syrian hamsters/12 weeks
# of Doses
3.00
Μodel
beta-Poisson
N50
7.93E+8
LD50/ID50
7.93E+8
Dose Units
CFU
Response
Liver infection
Exposure Route
Intratracheal inoculation
Contains Preferred Model
Status
fitted
a
0.048
Agent Strain
MAC serotype 8 (Human-derived, AIDS Patient)
Experiment ID
myco_intratracheal_2
Host type
hamsters
Experiment Dataset
Description
myco
Host
Male golden Syrian hamsters/12 weeks
# of Doses
3.00
Μodel
beta-Poisson
N50
1.42E+8
LD50/ID50
1.42E+8
Dose Units
CFU
Response
Disseminated infection
Exposure Route
Intratracheal inoculation
Contains Preferred Model
Status
fitted
a
0.201
k
4.87E-9
Agent Strain
MAC serotype 8 (Human-derived, AIDS Patient)
Experiment ID
myco_intratracheal
Host type
hamsters
Experiment Dataset
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