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Systematics and symmetry in molecular phylogenetic modelling

Citation

Jarvis, PD, Systematics and symmetry in molecular phylogenetic modelling, Journal of Physics: Conference Series - Proceedings of the 32nd International Colloquium on Group Theoretical Methods in Physics (Group32), 1194, Article 012056, 9-13 July 2018, Prague, Czech Republic, pp. 1-11. ISSN 1742-6588 (2019) [Refereed Conference Paper]


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Copyright 2019 IOP Creative Commons Attribution 3.0 licence

DOI: doi:10.1088/1742-6596/1194/1/012056

Abstract

Probabilistic models of mathematical phylogenetics have been intensively used in recent years in biology as the cornerstone of methods to infer and reconstruct the ancestral relationships between species. We bring a lens of mathematical physics to bear on the formulation of the theoretical models, focussing on the applicability of group and representation theory to guide model specification and to exploit the multilinear setting of the models in the presence of underlying symmetries. We focus on aspects of multipartite entanglement which are shared between descriptions of quantum states on the physics side, and the multi-way tensor probability arrays arising in phylogenetics. We give examples of entanglement invariants (Markov invariants) for the case of quartets, and DNA data; and compare and contrast the rings of quantum/Markov invariants for the three and four qubit case/binary triplet and quartet cases, respectively.

Item Details

Item Type:Refereed Conference Paper
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 biological sciences
UTAS Author:Jarvis, PD (Dr Peter Jarvis)
ID Code:140399
Year Published:2019
Funding Support:Australian Research Council (DP150100088)
Deposited By:Mathematics
Deposited On:2020-08-13
Last Modified:2020-09-14
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