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Category: Environmental Microbiology
Dose-Response Modeling and Use: Challenges and Uncertainties in Environmental Exposure, Page 1 of 2
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Conceptual diagram of the experimental protocol for animal and human dose-response trials, resulting in the development of the required data for optimization. doi:10.1128/9781555818821.ch3.5.3.f1
Conceptual diagram of the experimental protocol for animal and human dose-response trials, resulting in the development of the required data for optimization. doi:10.1128/9781555818821.ch3.5.3.f1
Estimated parameter cloud from bootstrap uncertainty analysis (10,000 iterations), ellipse represent the confidence intervals of the α and N50 parameters of the beta Poisson model.
Estimated parameter cloud from bootstrap uncertainty analysis (10,000 iterations), ellipse represent the confidence intervals of the α and N50 parameters of the beta Poisson model.
Optimized beta Poisson model with confidence intervals.
Optimized beta Poisson model with confidence intervals.
Histogram of k parameter for exponential model from 10,000 iteration bootstrap uncertainty analysis.
Histogram of k parameter for exponential model from 10,000 iteration bootstrap uncertainty analysis.
Optimized exponential model with confidence intervals.
Optimized exponential model with confidence intervals.
shows the optimized beta Poisson model with 95th and 99th confidence intervals around the central model, with optimized α and N 50 parameters shown in Table B.2.
shows the optimized beta Poisson model with 95th and 99th confidence intervals around the central model, with optimized α and N 50 parameters shown in Table B.2.
shows a cloud of bootstrapped α and N 50 values from 10,000 bootstrap iterations. The confidence intervals around the could are a replacement for simultaneous confidence intervals which would be required for these parameters.
shows a cloud of bootstrapped α and N 50 values from 10,000 bootstrap iterations. The confidence intervals around the could are a replacement for simultaneous confidence intervals which would be required for these parameters.
Bootstrapped parameter uncertainty cloud (10,000 points) for beta Poisson model, showing confidence interval ellipses, unless simultaneous confidence intervals are developed these ellipses are best estimation of α and N 50 uncertainty.
Bootstrapped parameter uncertainty cloud (10,000 points) for beta Poisson model, showing confidence interval ellipses, unless simultaneous confidence intervals are developed these ellipses are best estimation of α and N 50 uncertainty.
Dose response model curve for beta Poisson model, with confidence intervals from 10,000 bootstrap iterations.
Dose response model curve for beta Poisson model, with confidence intervals from 10,000 bootstrap iterations.
Bootstrapped k parameter histogram from 10,000 iterations.
Bootstrapped k parameter histogram from 10,000 iterations.
Dose response model curve for exponential model, with confidence intervals from 10,000 bootstrap iterations.
Dose response model curve for exponential model, with confidence intervals from 10,000 bootstrap iterations.
Age-dependent dose-response models, for each age group, merged within one large age-dependent model signified with the outer and inner 99% confidence intervals ( 27 ). doi:10.1128/9781555818821.ch3.5.3.f2
Age-dependent dose-response models, for each age group, merged within one large age-dependent model signified with the outer and inner 99% confidence intervals ( 27 ). doi:10.1128/9781555818821.ch3.5.3.f2
Example of time postinoculation (TPI) dose-response models for Francisella tularensis in the mouse host. Note how as the TPI increases, the host becomes less susceptible, meaning that more dose is required to have an equitable affect on the host from previous TPI periods. doi:10.1128/9781555818821.ch3.5.3.f3
Example of time postinoculation (TPI) dose-response models for Francisella tularensis in the mouse host. Note how as the TPI increases, the host becomes less susceptible, meaning that more dose is required to have an equitable affect on the host from previous TPI periods. doi:10.1128/9781555818821.ch3.5.3.f3
Humans exposed to Vibrio cholera buffered oral exposure
Humans exposed to Vibrio cholera buffered oral exposure
Humans exposed to Giardia duodenalis oral exposure
Humans exposed to Giardia duodenalis oral exposure
Example dose-response data
Example dose-response data
MLE output for the exponential and beta Poisson models
MLE output for the exponential and beta Poisson models
Goodness of fit analysis comparing the deviance (Y) to the χ2 critical value at confidence interval of 0.05 and degrees of freedom of 4 for exponential and 3 for beta Poisson
Goodness of fit analysis comparing the deviance (Y) to the χ2 critical value at confidence interval of 0.05 and degrees of freedom of 4 for exponential and 3 for beta Poisson
Best fitting analysis comparing the difference between deviances (Δ) to a χ2 critical value at confidence interval of 0.05 and 1 degree of freedom
Best fitting analysis comparing the difference between deviances (Δ) to a χ2 critical value at confidence interval of 0.05 and 1 degree of freedom
Original dose-response data before bootstrap iteration
Original dose-response data before bootstrap iteration
Randomly sampled dose-response data after a single bootstrap iteration
Randomly sampled dose-response data after a single bootstrap iteration