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Low-parameter phylogenetic estimation under the general Markov model
Markov invariants phylogenetic invariants base-composition rate-variation quartets supertrees
2012/5/2
In their 2008 and 2009 papers, Sumner and colleagues introduced the "squangles" - a small set of Markov invariants for phylogenetic quartets. The squangles are consistent with the general Markov model...
The algebra of the general Markov model on phylogenetic trees and networks
general Markov model phylogenetic trees
2011/1/5
It is known that the Kimura 3ST model of sequence evolution on phylogenetic trees can be extended quite naturally to arbitrary split systems. However, this extension relies heavily on mathematical pec...
A Stochastic Markov Model for Coordinated Molecular Motors
Markov Model Coordinated Molecular Motors
2011/1/6
Many cell functions are accomplished thanks to intracellular transport mechanisms of macromolecules along filaments. Molecular motors such as dynein or kinesin are proteins playing a primary role in t...
An algebraic analysis of the two state Markov model on tripod trees
algebraic analysis Markov model tripod trees
2011/1/5
Methods of phylogenetic inference use more and more complex models to generate trees from data. However, even simple models and their implications are not fully understood. Here, we investigate the tw...