Lie Markov models with purine/pyrimidine symmetry
نویسندگان
چکیده
منابع مشابه
Lie Markov models with purine/pyrimidine symmetry.
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, there are usually extra constraints on the rates, depending on the situation. If a model is formulated in this way, it is possible to generalise it and allow for an inho...
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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 by demanding that the set of rate-matrices belonging to the model class form a Lie algebra. It is the case that some well-known Markov models do form Lie algebras and we re...
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ژورنال
عنوان ژورنال: Journal of Mathematical Biology
سال: 2014
ISSN: 0303-6812,1432-1416
DOI: 10.1007/s00285-014-0773-z