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Title: A unified approach to the transition matrices of DNA substitution models
Authors: Yap, V.B. 
Keywords: DNA substitution
Lumped Markov chain
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.
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
ISSN: 00255564
DOI: 10.1016/j.mbs.2012.12.008
Appears in Collections:Staff Publications

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