Hadamard Conjugation for the Kimura 3ST Model: Combinatorial Proof using Pathsets

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dc.creatorHendy, Michael D.
dc.creatorSnir, Sagi
dc.date2005-05-28
dc.date2005-11-03
dc.date.accessioned2026-07-07T06:40:41Z
dc.date.available2026-07-07T06:40:41Z
dc.descriptionIn most stochastic models of molecular sequence evolution the probability of each possible pattern of homologous characters at a site is estimated numerically. However in the case of Kimura's three-substitution-types (K3ST) model, these probabilities can be expressed analytically by Hadamard conjugation as a function of the phylogeny T and the substitution probabilities on each edge of T, together with an analytic inverse function. In this paper we produce a direct proof of these results, using pathset distances which generalise pairwise distances between sequences. This interpretation allows us to apply Hadamard conjugation to a number of topical problems in the mathematical analysis of sequence evolution.
dc.identifierhttps://arxiv.org/abs/q-bio/0505055
dc.identifierhttp://arxiv.org/abs/q-bio/0505055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101458
dc.subjectPopulations and Evolution
dc.titleHadamard Conjugation for the Kimura 3ST Model: Combinatorial Proof using Pathsets
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