• Algebraic phylogenetic reconstruction based on proteins and its application to Persea americana 

    Pérez Gonzalo, Raül (Universitat Politècnica de Catalunya, 2018-09)
    Treball Final de Grau
    Accés obert
    Phylogenetic reconstruction methods attempt to infer the evolutionary relationships among a group of species. Apart from classical reconstruction methods, new methods have been developed based on algebraic relationships ...
  • Application of algebraic techniques to phylogenetic reconstruction 

    Cifuentes Fontanals, Laura (Universitat Politècnica de Catalunya, 2015-05)
    Treball Final de Grau
    Accés obert
    Phylogenetics is the study of the evolutionary relationships among different species through the analysis of sequences of biological data such as DNA. These relationships are usually represented using phylogenetic trees, ...
  • Applications of the Sinkhorn-Knopp algorithm for phylogenetic inference 

    Mateo Campo, Clara (Universitat Politècnica de Catalunya, 2016-01)
    Projecte Final de Màster Oficial
    Accés obert
    En aquest treball s'estudia l'algorisme de Sinkhorn-Knopp i les seves aplicacions pel disseny de mètodes de reconstrucció filogenètica. Es dissenyen tres mètodes filogenètics ("Crossing", "$\delta$-crossing$ i Dist-crossing) ...
  • Generating Lie Markov models with prescribed symmetry 

    Santos Herranz, Ane (Universitat Politècnica de Catalunya, 2012-11)
    Projecte Final de Màster Oficial
    Accés obert
    Recent works discuss the importance of the multiplicative closure of the Markov models used in phylogenetics. A sufficient condition is requiring the set of rate-matrices of the model to form a Lie algebra. In this work, ...
  • Multilinear algebra for phylogenetic reconstruction 

    Garrote López, Marina (Universitat Politècnica de Catalunya, 2015-07)
    Projecte Final de Màster Oficial
    Accés obert
    Phylogenetic reconstruction tries to recover the ancestral relationships among a group of contemporary species and represent them in a phylogenetic tree. To do it, it is useful to model evolution adopting a parametric ...