Model averaging in microbial risk assessment using fractional polynomials

Harriet Namata1, Marc Aerts, Christel Faes

  • 1Hasselt University, Center for Statistics, Campus Diepenbeek, Agoralaan, Gebouw D, B 3590 Diepenbeek, Belgium. harriet.namata@uhasselt.be

Insights

Model averaging offers a more accurate approach to assessing foodborne illness risk from microbial pathogens. This method improves risk estimation by accounting for uncertainty from multiple plausible dose-response models.

Area of Science:

  • Microbiology
  • Risk Assessment
  • Statistical Modeling

Background:

  • Foodborne diseases from microbial pathogens pose significant public health risks.
  • Dose-response models are crucial for understanding the relationship between ingested dose and infection risk.
  • Traditional methods rely on selecting a single best-fit model, which can be problematic.

Purpose of the Study:

  • To propose modified fractional polynomials as competitive dose-response models for risk assessment.
  • To demonstrate the utility of model averaging in circumventing the dilemma of selecting a single best model.
  • To improve the accuracy and reliability of risk estimates, especially at low doses.

Main Methods:

  • Utilized a modified set of fractional polynomials as candidate dose-response models.
  • Selected models based on biological plausibility and rationale.
  • Employed model averaging with Akaike's weights to estimate risk across multiple models.
  • Applied the approach to Salmonella typhi and Campylobacter jejuni human data for low-dose risk estimation.

Main Results:

  • Model averaging effectively addresses situations where a single best model is not apparent.
  • This approach provides more honest estimations of standard errors and confidence intervals for risk.
  • Simulation studies showed model averaging reduced bias and improved precision compared to single best-fit models.
  • Coverage probabilities for risk estimates were closer to the nominal 95% level with model averaging.

Conclusions:

  • Model averaging provides a superior method for dose-response modeling in risk assessment compared to traditional single-model selection.
  • The proposed fractional polynomial models and averaging technique enhance the reliability of microbial risk assessments.
  • This approach leads to more robust and trustworthy estimations of foodborne illness risks.

Related Concept Videos

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving01:29

Mechanistic Models: Compartment Models in Algorithms for Numerical Problem Solving

Mechanistic models play a crucial role in algorithms for numerical problem-solving, particularly in nonlinear mixed effects modeling (NMEM). These models aim to minimize specific objective functions by evaluating various parameter estimates, leading to the development of systematic algorithms. In some cases, linearization techniques approximate the model using linear equations.
In individual population analyses, different algorithms are employed, such as Cauchy's method, which uses a...
Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

Mechanistic models are utilized in individual analysis using single-source data, but imperfections arise due to data collection errors, preventing perfect prediction of observed data. The mathematical equation involves known values (Xi), observed concentrations (Ci), measurement errors (εi), model parameters (ϕj), and the related function (ƒi) for i number of values. Different least-squares metrics quantify differences between predicted and observed values. The ordinary least squares (OLS)...
Methods of Medium Optimization01:28

Methods of Medium Optimization

Optimizing growth media enhances microbial proliferation and maximizes product yield. Statistical experimental design methodologies provide structured and reproducible approaches, offering progressively higher levels of robustness and efficiency.The One-Factor-at-a-Time (OFAT) MethodThe One-Factor-at-a-Time (OFAT) method involves adjusting a single variable while keeping all others constant. However, it cannot detect interactions between variables, often leading to suboptimal outcomes when...
One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation01:24

One-Compartment Open Model: Wagner-Nelson and Loo Riegelman Method for ka Estimation

This lesson introduces two critical methods in pharmacokinetics, the Wagner-Nelson and Loo-Riegelman methods, used for estimating the absorption rate constant (ka) for drugs administered via non-intravenous routes. The Wagner-Nelson method relates ka to the plasma concentration derived from the slope of a semilog percent unabsorbed time plot. However, it is limited to drugs with one-compartment kinetics and can be impacted by factors like gastrointestinal motility or enzymatic degradation.
On...
Model Approaches for Pharmacokinetic Data: Distributed Parameter Models01:06

Model Approaches for Pharmacokinetic Data: Distributed Parameter Models

Pharmacokinetic models are mathematical constructs that represent and predict the time course of drug concentrations in the body, providing meaningful pharmacokinetic parameters. These models are categorized into compartment, physiological, and distributed parameter models.
The distributed parameter models are specifically designed to account for variations and differences in some drug classes. This model is particularly useful for assessing regional concentrations of anticancer or...
Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...