A representation-theoretic approach to the calculation of evolutionary distance in bacteria

Jeremy G. Sumner; Peter D. Jarvis; Andrew R. Francis

doi:10.1088/1751-8121/aa7d60

A representation-theoretic approach to the calculation of evolutionary distance in bacteria

Jeremy G. Sumner, Peter D. Jarvis, Andrew R. Francis

Western Sydney University

Research output: Contribution to journal › Article › peer-review

Abstract

In the context of bacteria and models of their evolution under genome rearrangement, we explore a novel application of group representation theory to the inference of evolutionary history. Our contribution is to show, in a very general maximum likelihood setting, how to use elementary matrix algebra to sidestep intractable combinatorial computations and convert the problem into one of eigenvalue estimation amenable to standard numerical approximation techniques.

Original language	English
Article number	335601
Number of pages	14
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	50
Issue number	33
DOIs	https://doi.org/10.1088/1751-8121/aa7d60
Publication status	Published - 2017

Keywords

Genomes
Phylogeny
bacteria
genetic transformation
group theory

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10.1088/1751-8121/aa7d60

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title = "A representation-theoretic approach to the calculation of evolutionary distance in bacteria",

abstract = "In the context of bacteria and models of their evolution under genome rearrangement, we explore a novel application of group representation theory to the inference of evolutionary history. Our contribution is to show, in a very general maximum likelihood setting, how to use elementary matrix algebra to sidestep intractable combinatorial computations and convert the problem into one of eigenvalue estimation amenable to standard numerical approximation techniques.",

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KW - Genomes

KW - Phylogeny

KW - bacteria

KW - genetic transformation

KW - group theory

UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:43818

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DO - 10.1088/1751-8121/aa7d60

M3 - Article

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JF - Journal of Physics A: Mathematical and Theoretical

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A representation-theoretic approach to the calculation of evolutionary distance in bacteria

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