Please use this identifier to cite or link to this item: https://doi.org/10.1016/j.mbs.2012.12.008
Title: A unified approach to the transition matrices of DNA substitution models
Authors: Yap, V.B. 
Keywords: DNA substitution
Lumped Markov chain
Reversibility
Similarity
Uniformization
Issue Date: Apr-2013
Citation: Yap, V.B. (2013-04). A unified approach to the transition matrices of DNA substitution models. Mathematical Biosciences 242 (2) : 111-116. ScholarBank@NUS Repository. https://doi.org/10.1016/j.mbs.2012.12.008
Abstract: For a reversible finite-state continuous-time Markov chain containing similar states, the computation of the transition matrix can be expressed quite elegantly in terms of the transition matrix of an associated lumped Markov chain. This result is immensely useful for obtaining explicit transition matrices for many DNA substitution models, without diagonalizing a matrix or solving a differential equation. Furthermore, the technique works for the analogous problem in the discrete-time DNA substitution models. © 2013 Elsevier Inc.
Source Title: Mathematical Biosciences
URI: http://scholarbank.nus.edu.sg/handle/10635/104983
ISSN: 00255564
DOI: 10.1016/j.mbs.2012.12.008
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