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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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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.
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When the fitness of a trait is influenced by how common it is (i.e., its frequency) relative to different traits within a population, this is referred to as frequency-dependent selection. Frequency-dependent selection may occur between species or within a single species. This type of selection can either be positive—with more common phenotypes having higher fitness—or negative, with rarer phenotypes conferring increased fitness.
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Bayesian Selection of Relaxed-Clock Models: Distinguishing between Independent and Autocorrelated Rates.

Muthukumaran Panchaksaram1, Lucas Freitas1,2, Mario Dos Reis1

  • 1School of Biological and Behavioural Sciences, Queen Mary University of London, London E1 4NS, UK.

Systematic Biology
|November 21, 2024
PubMed
Summary
This summary is machine-generated.

Selecting the correct molecular evolutionary rate model is crucial for accurate species divergence dating. This study shows that model selection is robust to slight calibration errors but fails with serious misspecification, and an arcsine transform speeds computation.

Keywords:
Autocorrelated ratesBayesian analysisindependent ratesmarginal likelihoodmolecular-clock dating

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Area of Science:

  • Evolutionary biology
  • Computational phylogenetics
  • Molecular evolution

Background:

  • Bayesian molecular-clock dating relies on rate models for inferring species divergence times.
  • Commonly used independent and autocorrelated rate models can yield divergent time estimates.
  • Understanding Bayesian rate model selection is vital, especially with large datasets and potential calibration misspecification.

Purpose of the Study:

  • To investigate the statistical behavior of Bayesian rate model selection.
  • To explore methods for improving computational efficiency in phylogenomic analyses.
  • To assess the impact of calibration misspecification on rate model selection.

Main Methods:

  • Computer simulations and real data analysis were employed.
  • Marginal likelihoods were calculated using Markov Chain Monte Carlo sampling.
  • Approximations of the phylogenetic likelihood using an arcsine branch-length transform were explored.

Main Results:

  • Posterior probability for the correct rate model converges to one with more sequence partitions and no calibrations.
  • Model selection is robust to slight calibration misspecification but fails with serious errors.
  • Arcsine branch-length transform significantly reduces computational cost without compromising accuracy.

Conclusions:

  • Bayesian rate model selection is reliable under ideal conditions and slight calibration inaccuracies.
  • Serious calibration misspecification leads to erroneous model selection.
  • Approximate likelihood methods offer a computationally efficient and accurate alternative for large phylogenomic datasets.