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|Title:||A unified approach to the transition matrices of DNA substitution models|
Lumped Markov chain
|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|
|Appears in Collections:||Staff Publications|
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