Regular Article: Fourier Calculus on Evolutionary Trees
Advances in Applied Mathematics
Reconstructing phylogenies from nucleotide pattern probabilities: a survey and some new results
Discrete Applied Mathematics - Special volume on computational molecular biology DAM-CMB series volume 2
Maximum likelihood on four taxa phylogenetic trees: analytic solutions
RECOMB '03 Proceedings of the seventh annual international conference on Research in computational molecular biology
Algebraic Statistics for Computational Biology
Algebraic Statistics for Computational Biology
| Hi-index | 0.00 |
Under a stochastic model of molecular sequence evolution the probability of each possible pattern of a characters is well defined. The Kimura's three-substitution-types (K3ST) model of evolution, allows analytical expression for these probabilities of by means of the Hadamard conjugation as a function of the phylogeny T and the substitution probabilities on each edge of TM . In this paper we produce a direct combinatorial proof of these results, using pathset distances which generalise pairwise distances between sequences. This interpretation provides us with tools that were proved useful in related problems in the mathematical analysis of sequence evolution.