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Related Concept Videos

Mechanistic Models: Compartment Models in Individual and Population Analysis01:23

Mechanistic Models: Compartment Models in Individual and Population Analysis

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

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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...
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Updated: May 13, 2025

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Bayesian Generalized Linear Models for Analyzing Compositional and Sub-Compositional Microbiome Data via EM

Li Zhang1, Zhenying Ding2, Jinhong Cui2

  • 1Biostatistics and Bioinformatics Facility, Fox Chase Cancer Center, Philadelphia, Pennsylvania, USA.

Statistics in Medicine
|April 14, 2025
PubMed
Summary
This summary is machine-generated.

We developed a Bayesian generalized linear model for analyzing microbiome data, improving accuracy and reducing prediction error in high-dimensional settings. This method aids in identifying microbial links to diseases like inflammatory bowel disease (IBD).

Keywords:
Bayesian GLMsEM algorithmcompositional datamicrobiomespike‐and‐slab priorssum‐to‐zero constraint

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Area of Science:

  • Microbiome Research
  • Statistical Modeling
  • Bioinformatics

Background:

  • Analyzing compositional microbiome data is crucial for understanding microbial roles in health and disease.
  • Existing methods like penalized regression and MCMC have limitations in handling sum-to-zero constraints for high-dimensional data.

Purpose of the Study:

  • To propose a novel Bayesian generalized linear model (GLM) for compositional and sub-compositional microbiome data analysis.
  • To address limitations of existing methods by offering better uncertainty assessment and computational efficiency.

Main Methods:

  • Developed Bayesian GLMs with a spike-and-slab double-exponential prior for microbiome coefficients.
  • Implemented a sum-to-zero constraint using soft-centering with prior distributions.
  • Created a fast and stable algorithm combining Expectation-Maximization (EM) with Iteratively Reweighted Least Squares (IWLS).

Main Results:

  • Extensive simulations demonstrated superior performance compared to existing methods, showing higher coefficient estimation accuracy and lower prediction error.
  • The proposed method effectively handles high-dimensional microbiome data.

Conclusions:

  • The novel Bayesian GLM provides an accurate and efficient approach for analyzing compositional microbiome data.
  • The method was successfully applied to identify microorganisms associated with inflammatory bowel disease (IBD).
  • An R package, BhGLM, is available for public use.