title: A unified approach to the transition matrices of DNA substitution models.
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.
authors: Department of Statistics and Applied Probability, National University of Singapore, Singapore. stayapvb@nus.edu.sg
authors: Von Bing
authors: VB
authors: Yap
mesh_terms: D019295:Computational Biology / Q000379:methods*; D004247:DNA / Q000235:genetics*; D008390:Markov Chains; D008957:Models, Genetic
chemical_list: D004247:DNA