140399 - Systematics and symmetry in molecular phylogenetic modelling.pdf (1012.29 kB)
Download fileSystematics and symmetry in molecular phylogenetic modelling
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.
Funding
Australian Research Council
History
Publication title
Journal of Physics: Conference Series - Proceedings of the 32nd International Colloquium on Group Theoretical Methods in Physics (Group32), 1194, Article 012056Volume
1194Editors
C Burdik, O Navratil and S PostaPagination
1-11ISSN
1742-6588Department/School
School of Natural SciencesPublisher
IOP PublishingPlace of publication
United KingdomEvent title
32nd International Colloquium on Group Theoretical Methods in Physics (Group32)Event Venue
Prague, Czech RepublicDate of Event (Start Date)
2018-07-09Date of Event (End Date)
2018-07-13Rights statement
Copyright 2019 IOP Creative Commons Attribution 3.0 licenceRepository Status
- Open