Solvable models of neighbor-dependent nucleotide substitution processes

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We prove that a wide class of models of Markov neighbor-dependent substitution processes on the integer line is solvable. This class contains some models of nucleotide substitutions recently introduced and studied empirically by molecular biologists. We show that the polynucleotide frequencies at equilibrium solve explicit finite-size linear systems. Finally, the dynamics of the process and the distribution at equilibrium exhibit some stringent, rather unexpected, independence properties. For example, nucleotide sites at distance at least three evolve independently, and the sites, if encoded as purines and pyrimidines, evolve independently.
47 pages, minor modifications

Keywords

Probability, Genomics, 60J25; 92D20

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/103555

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0510034
 http://arxiv.org/abs/math/0510034

Collections

arXiv