Now showing items 1-5 of 5

    • Lie Markov model 

      Sumner, Jeremy; Fernández Sánchez, Jesús; Jarvis, Peter (2012)
      Article
      Open Access
      Recent work has discussed the importance of multiplicative closure for the Markov mod- els used in phylogenetics. For continuous-time Markov chains, a sufficient condition for multiplicative closure of a model class is ...
    • Lie Markov models 

      Sumner, Jeremy; Fernández Sánchez, Jesús; Jarvis, Peter (2012-04-07)
      Article
      Restricted access - publisher's policy
      Recent work has discussed the importance of multiplicative closure for the Markov models used in phylogenetics. For continuous-time Markov chains, a sufficient condition for multiplicative closure of a model class is ensured ...
    • Lie Markov models with purine/pyrimidine symmetry 

      Fernández Sánchez, Jesús; Sumner, Jeremy; Jarvis, Peter; Woodhams, Michael D. (2015-03-01)
      Article
      Open Access
      Continuous-time Markov chains are a standard tool in phylogenetic inference. If homogeneity is assumed, the chain is formulated by specifying time-independent rates of substitutions between states in the chain. In applications, ...
    • Lie Markov models with purine/pyrimidine symmetry 

      Fernández Sánchez, Jesús; Sumner, Jeremy; Jarvis, Peter; Woodhams, Michael D. (2013-06)
      External research report
      Open Access
      Continuous-time Markov chains are a standard tool in phylogenetic inference. If homogeneity is assumed, the chain is formulated by specifying time-independent rates of substitutions between states in the chain. In applications, ...
    • Testing of the three multiplicatively closed (Lie Markov) model heirarchies which respect purine/pyrimidine, Watson-Crick, and amino/keto nucleotide groupings 

      Woodhams, Michael D.; Fernández Sánchez, Jesús; Sumner, Jeremy (2014-03)
      External research report
      Restricted access - confidentiality agreement
      We present three hierarchies of Lie Markov models of DNA sequence evolution. These models are (locally) “multiplicatively closed,” meaning that the composition of two Markov matrices in the model results, with some (rare) ...