Optimization Output for Exp. 18,23 | QMRA wiki

Basic information

Experiment ID	18,23
Pathogen	Burkholderia mallei
Agent Strain	KHW,316c
Contains Preferred Model	Yes
Reference	Brett, P. J., & Woods, D. E. (1996). Structural and immunological characterization of Burkholderia pseudomallei O-polysaccharide-flagellin protein conjugates. Infection and Immunity, 64, 2824–2828.
Response	death

Detailed information

Host type

C57BL/6 mice and diabetic rat

# of Doses

10.00

Dose Units

CFU

Μodel

beta-Poisson

a

3.28E-01

N50

5.43E+03

LD50/ID50

5.43E+03

Experiment Dataset

Description

Optimization Output for experiment 18 and 23 pooled (B. pseudomallei)

**Pooled data of C57BL/6 mice and diabetic rat**
Dose	DEATH	NOT DEATH	Total
150	0	6	6
450	1	5	6
1350	1	5	6
3000	6	4	10
4050	3	3	6
12200	3	3	6
3E+04	7	3	10
3E+05	7	3	10
3E+06	10	0	10
3E+07	10	0	10

**Goodness of fit and model selection**
Model	Deviance	Δ	Degrees of freedom	χ²_0.95,1 p-value	χ²_0.95,m-k p-value
Exponential	63.3	56.6	9	3.84 5.42e-14	16.9 3.15e-10
Beta Poisson	6.68	56.6	8	3.84 5.42e-14	15.5 0.571
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
Parameter	MLE estimate	0.5%	2.5%	5%	95%	97.5%	99.5%
α	3.28E-01	1.94E-01	2.16E-01	2.31E-01	5.15E-01	5.86E-01	8.32E-01
N₅₀	5.43E+03	1.82E+03	2.37E+03	2.64E+03	1.23E+04	1.39E+04	1.68E+04

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

References