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Updated: May 31, 2025

Using Phylogenetic Analysis to Investigate Eukaryotic Gene Origin
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Bayesian Inference of Phylogenetic Distances: Revisiting the Eigenvalue Approach.

Matthew J Penn1, Neil Scheidwasser2, Christl A Donnelly1,3

  • 1Department of Statistics, University of Oxford, Oxford, UK.

Bulletin of Mathematical Biology
|January 23, 2025
PubMed
Summary
This summary is machine-generated.

This study introduces a new Bayesian phylogenetic method to model complex evolutionary rates and variations over time. The approach provides evidence supporting a two-domain theory for the origin of eukaryotic cells.

Keywords:
Bayesian inferenceGTRGenetic distanceUkaryotes

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Last Updated: May 31, 2025

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Area of Science:

  • Evolutionary biology
  • Computational phylogenetics
  • Molecular evolution

Background:

  • Phylogenetics commonly uses Markov substitution models to infer evolutionary distances from genetic data, aiding in starting tree selection.
  • Standard models like the general time reversible (GTR) model handle DNA data well but struggle with complex phenomena like heterotachy (lineage-specific rate variation).
  • Existing advanced models for heterotachy lack analytical solutions, hindering likelihood calculations essential for Bayesian inference.

Purpose of the Study:

  • To develop a novel hybrid Bayesian phylogenetic framework that integrates GTR-style modeling with rate variation and heterotachy.
  • To create a method that is mathematically tractable for optimization and Bayesian inference.
  • To investigate the evolutionary origins of the eukaryotic cell using this new approach within a universal tree of life context.

Main Methods:

  • Developed a hierarchical Bayesian GTR-style framework incorporating gamma-distributed rate variation and heterotachy.
  • Ensured the approach is differentiable, enabling optimization via stochastic gradient descent.
  • Facilitated Bayesian inference using Hamiltonian Markov Chain Monte Carlo methods.

Main Results:

  • The proposed hybrid method successfully models complex evolutionary rate variations and heterotachy.
  • The framework is amenable to modern computational inference techniques like stochastic gradient descent and Hamiltonian Monte Carlo.
  • Analysis of universal tree of life data provided evidence supporting a two-domain theory for eukaryotic cell origins.

Conclusions:

  • The novel Bayesian framework offers a powerful tool for phylogenetic analysis incorporating complex evolutionary dynamics.
  • This method advances the modeling of molecular evolution, particularly for lineage-specific rate variations.
  • Findings lend support to the two-domain theory regarding the evolutionary emergence of eukaryotic cells.