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Gene Transfer-Based Phylogenetics: Analytical Expressions and Additivity via Birth-Death Theory.

Guy Katriel1, Udi Mahanaymi2, Shelly Brezner2

  • 1Department of Mathematics, Braude College of Engineering, Karmiel, Israel.

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Summary

This study introduces a new method using genome dynamics (GD) and synteny index (SI) to accurately infer evolutionary distances between organisms. This approach enables the construction of large-scale phylogenetic trees, improving upon existing methods.

Keywords:
Genome dynamicsprokaryotic phylogeneticsstatistical consistencysynteny index

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Area of Science:

  • Genomics
  • Molecular Systematics
  • Phylogenetics

Background:

  • Standard phylogenetic methods using point mutations are slow for fine-scale evolutionary history. Genome dynamics (GD) events offer richer phylogenetic information.
  • Existing genome dynamics models lack precise estimators, relying on heuristic solutions. Synteny index (SI) combines gene order and content but requires robust analytical methods.

Purpose of the Study:

  • To develop a novel analytical framework for inferring evolutionary distances using genome dynamics.
  • To establish an accurate and consistent method for phylogenetic analysis based on gene order and content.

Main Methods:

  • Modeled genome dynamics as a continuous-time Markov process and gene distance as a birth-death-immigration process.
  • Applied birth-death theory to derive explicit probabilistic dynamics and analytically accurate evolutionary distances from the synteny index (SI).
  • Established the additivity of the estimated evolutionary distance for phylogenetic consistency.

Main Results:

  • Derived explicit expressions for probabilistic dynamics, enabling analytical inference of evolutionary distances from SI.
  • Demonstrated the accuracy and consistency of the new distance measure in simulations, including gene gain/loss scenarios.
  • Constructed the largest gene-order-based phylogenetic tree to date (>4.5K taxa) using the ordered orthology database.

Conclusions:

  • The new method provides analytically accurate evolutionary distances, overcoming limitations of previous heuristic approaches.
  • The developed framework supports robust phylogenetic inference and construction of large-scale gene-order-based trees.
  • This approach offers a valuable tool for molecular systematics, complementing existing phylogenetic methods.