Ara es mostren els items 20-29 de 29

    • MODELS MATEMÀTICS EN BIOLOGIA | FINAL 

      Casanellas Rius, Marta; Fernández Sánchez, Jesús; Huguet Casades, Gemma; Ponce Álvarez, Adrián Fernando (Universitat Politècnica de Catalunya, 2023-12-19)
      Examen
      Accés restringit a la comunitat UPC
    • Phylogenetic reconstruction using algebraic geometry 

      Casanellas Rius, Marta; Fernández Sánchez, Jesús (2010-12-31)
      Article
      Accés restringit per política de l'editorial
      A new approach to phylogenetic reconstruction has been emerging in the last years. Given an evolutionary model, the joint probability distribution of the nucleotides for these species satisfy some algebraic constraints ...
    • Rank conditions on phylogenetic networks 

      Casanellas Rius, Marta; Fernández Sánchez, Jesús (Birkhäuser, 2021)
      Capítol de llibre
      Accés restringit per política de l'editorial
      Less rigid than phylogenetic trees, phylogenetic networks allow the description of a wider range of evolutionary events. In this note, we explain how to extend the rank invariants from phylogenetic trees to phylogenetic ...
    • Reconstrucción filogenética usando Geometría Algebraica 

      Casanellas Rius, Marta; Fernández Sánchez, Jesús (2010)
      Article
      Accés obert
      Una nueva aproximación a la reconstrucción filogenética basada en la geometría algebraica está ganando fuerza en los últimos años. Fijado un modelo evolutivo para un conjunto de especies, las distribuciones teóricas de ...
    • Relevant phylogenetic invariants of evolutionary models 

      Casanellas Rius, Marta; Fernández Sánchez, Jesús (2010-01)
      Report de recerca
      Accés obert
      Recently there have been several attempts to provide a whole set of generators of the ideal of the algebraic variety associated to a phylogenetic tree evolving under an algebraic model. These algebraic varieties have been ...
    • SAQ: semi-algebraic quartet reconstruction 

      Casanellas Rius, Marta; Fernández Sánchez, Jesús; Garrote López, Marina (2021-01-01)
      Article
      Accés obert
      We present the phylogenetic quartet reconstruction method SAQ (Semi-Algebraic Quartet reconstruction). SAQ is consistent with the most general Markov model of nucleotide substitution and, in particular, it allows for rate ...
    • 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)
      Report de recerca
      Accés restringit per acord de confidencialitat
      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) ...
    • The embedding problem for Markov matrices 

      Casanellas Rius, Marta; Fernández Sánchez, Jesús; Roca Lacostena, Jordi (2023-01-01)
      Article
      Accés obert
      Characterizing whether a Markov process of discrete random variables has a homogeneous continuous-time realization is a hard problem. In practice, this problem reduces to deciding when a given Markov matrix can be written ...
    • The inertia of the symmetric approximation for low-rank matrices 

      Casanellas Rius, Marta; Fernández Sánchez, Jesús; Garrote López, Marina (Taylor & Francis, 2017-11-10)
      Article
      Accés obert
      © 2017 Informa UK Limited, trading as Taylor & Francis Group In many areas of applied linear algebra, it is necessary to work with matrix approximations. A usual situation occurs when a matrix obtained from experimental ...
    • The space of phylogenetic mixtures for equivariant models 

      Casanellas Rius, Marta; Fernández Sánchez, Jesús; Kedzierska, A.M. (2012-11-28)
      Article
      Accés obert
      The selection of the most suitable evolutionary model to analyze the given molecular data is usually left to biologist's choice. In his famous book, J Felsenstein suggested that certain linear equations satisfied by the ...