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


Sumner, JG and Jarvis, PD and Francis, AR, A representation-theoretic approach to the calculation of evolutionary distance in bacteria, Journal of Physics A: Mathematical and Theoretical, 50 Article 335601. ISSN 1751-8121 (2017) [Refereed Article]

Copyright Statement

2017 IOP Publishing Ltd

DOI: doi:10.1088/1751-8121/aa7d60


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.

Item Details

Item Type:Refereed Article
Keywords:representation theory, bacteria, evolution, phylogenetics, group theory, genome rearrangement, maximum likelihood
Research Division:Mathematical Sciences
Research Group:Applied mathematics
Research Field:Biological mathematics
Objective Division:Expanding Knowledge
Objective Group:Expanding knowledge
Objective Field:Expanding knowledge in the mathematical sciences
UTAS Author:Sumner, JG (Associate Professor Jeremy Sumner)
UTAS Author:Jarvis, PD (Dr Peter Jarvis)
ID Code:119403
Year Published:2017
Funding Support:Australian Research Council (DE130100423)
Web of Science® Times Cited:9
Deposited By:Mathematics and Physics
Deposited On:2017-08-01
Last Modified:2018-04-27

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