Now showing items 1-10 of 10

    • Algebraic and semi-algebraic phylogenetic reconstruction 

      Garrote López, Marina (Universitat Politècnica de Catalunya, 2021-07-22)
      Doctoral thesis
      Open Access
      Phylogenetics is the study of the evolutionary history and relationships among groups of biological entities (called taxa). The modeling of those evolutionary processes is done by phylogenetic trees whose nodes represent ...
    • Algebraic invariants of phylogenetic networks 

      Giralt Castellano, Amaia Elisa (Universitat Politècnica de Catalunya, 2023-05-02)
      Master thesis
      Open Access
      Phylogenetics is a scientific field that focuses on understanding the evolutionary relationships between living organisms. Specifically, it seeks to reconstruct the evolutionary history of these organisms and the ...
    • Algebraic phylogenetic reconstruction based on proteins and its application to Persea americana 

      Pérez Gonzalo, Raül (Universitat Politècnica de Catalunya, 2018-09)
      Bachelor thesis
      Open Access
      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 ...
    • Algebraic statistics in phylogenetic reconstruction: incorporating invariable sites 

      Mañez Fernandez, Davinia (Universitat Politècnica de Catalunya, 2023-06)
      Master thesis
      Open Access
      In modern phylogenetics, when comparing sequences of DNA the traditional approach assumes that nu- cleotide substitutions follow a Markov model, that sites on a DNA sequence evolve independently and in the same way. However, ...
    • Application of algebraic techniques to phylogenetic reconstruction 

      Cifuentes Fontanals, Laura (Universitat Politècnica de Catalunya, 2015-05)
      Bachelor thesis
      Open Access
      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)
      Master thesis
      Open Access
      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)
      Master thesis
      Open Access
      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)
      Master thesis
      Open Access
      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 ...
    • Performance of subflattening matrices for phylogenetic tree reconstruction 

      Cunill Carreras, Aïda (Universitat Politècnica de Catalunya, 2023-06)
      Bachelor thesis
      Open Access
      En aquest projecte s'estudia a fons la definició de matrius "subflattening", i es proporcionen detalls addicionals que faltaven a la demostració del Teorema d'en Jeremy G. Sumner. Concretament, s'estudia en detall el cas ...
    • The embedding problem for Markov matrices 

      Roca Lacostena, Jordi (Universitat Politècnica de Catalunya, 2021-05-18)
      Doctoral thesis
      Open Access
      The goal of this thesis is to solve the embedding problem for Markov matrices, posed by Gustav Elfving in1937. A Markov matrix is non-negative square matrix whose rows sum to 1. We say that such a matrix M is embeddable ...