Enviaments recents

  • Morita equivalence and decomposition spaces 

    Riera Roca, Gabriel (Universitat Politècnica de Catalunya, 2017-10)
    Projecte Final de Màster Oficial
    Accés obert
    Inspired by prior results by Stanley and Leroux showing what information can be recovered from an isomorphism of incidence algebras, we investigate the very same idea applied to decomposition spaces. We review the work of ...
  • Implementation of the proper generalized decomposition for hybridizable discontinuous Galerkin 

    Ribera Manzano, Pablo (Universitat Politècnica de Catalunya, 2017-10)
    Projecte Final de Màster Oficial
    Accés obert
    En aquest treball de final de màster es desenvolupa una narració lògica de la implementació de la ''proper generalized decomposition'' (model order reduction technique) per al mètode d'elements finits (FEM) ''hybridizable ...
  • Mathematical modeling of calcium handling dysfunctions leading to atrial fibrillation 

    Krizanec, Nikolina (Universitat Politècnica de Catalunya, 2017-10)
    Projecte Final de Màster Oficial
    Accés obert
    The aim of this master s thesis is to study the basic cardiac cellular electrophysiology in order to understand and examine the role of SK3 channels. Among the many channels present in an atrial myocyte, SK3 channels are ...
  • On lower bounds for circuit complexity and algorithms for satisfiability 

    Casals Buñuel, Joaquim (Universitat Politècnica de Catalunya, 2017-10)
    Projecte Final de Màster Oficial
    Accés obert
    This work is devoted to explore the novel method of proving circuit lower bounds for the class NEXP by Ryan Williams. Williams is able to show two circuit lower bounds: A conditional lower bound which says that NEXP does ...
  • A logistic queue model for network traffic modeling and simulation 

    Coltraro Ianniello, Franco (Universitat Politècnica de Catalunya, 2017-07)
    Projecte Final de Màster Oficial
    Accés obert
    In this work we present a continuous queuing model called the logistic queue model. We show that in terms of queue size and outflow prediction, our model is as precise as a discrete event simulator with the additional ...
  • Local geometry of analytic planar morphisms 

    Almirón Cuadros, Patricio (Universitat Politècnica de Catalunya, 2017-07)
    Projecte Final de Màster Oficial
    Accés obert
    This work focuses in the study of local geometry of analytic planar morphisms. First, we introduce the basic concepts that will be needed to present the main part of the work. Secondly, we study the effect of analytic ...
  • Critical velocity in kink solutions of the sine-Gordon equation 

    Sanchis Ramírez, Guillem (Universitat Politècnica de Catalunya, 2017-07)
    Projecte Final de Màster Oficial
    Accés obert
    The goal of this work is to present a way to deduce the value of the critical velocity observed in soliton-like solutions of a perturbed version of the sine-Gordon equation. To do so, an ODE system is obtained from the ...
  • Instabilities in Hamiltonian systems 

    Granell i Yuste, Francesc (Universitat Politècnica de Catalunya, 2017-07)
    Projecte Final de Màster Oficial
    Accés obert
    In 1964, V. I. Arnol'd proved the existence of nearly-integrable Hamiltonian systems which have global instabilities (global chaotic behaviour). This phenomenon is nowadays termed under the name "Arnol'd diffusion". One ...
  • Random Tug-of-War games and the infinity Laplacian 

    Antón Amayuelas, Marcos (Universitat Politècnica de Catalunya, 2017-07)
    Projecte Final de Màster Oficial
    Accés obert
    In this work we introduce and analyze a new random Tug-of-War game in which one of the players has the power to decide at each turn whether to play a round of classical random Tug-of-War, or let the other player choose the ...
  • Mathematical modelling of tumour growth in vitro 

    Ouzeri, Adam Amine (Universitat Politècnica de Catalunya, 2017-07)
    Projecte Final de Màster Oficial
    Accés restringit per decisió de l'autor
    It is now widely accepted that cells are mechanically integrated structures which dynamically respond to mechanical cues. Tumours are no exception to that rule but still little is known on how this mechano-transduction is ...
  • Numerical modelling of the electrophysiology of the neuron 

    Lang, Victoria Ashley (Universitat Politècnica de Catalunya, 2017-07)
    Projecte Final de Màster Oficial
    Accés restringit per decisió de l'autor
    A majority of studies on the brain are focused at either the molecular level or organ level. Rarely do we see models that attempt to relate neuronal behaviors to symptoms of traumatic brain injury. Well-documented studies ...
  • Modelling hydrogels with Onsager’s variational principle 

    Collivadino, Andrea (Universitat Politècnica de Catalunya, 2017-07)
    Projecte Final de Màster Oficial
    Accés obert
    The goal of this Master's thesis is to provide a physical and mathematical model that attempts to describe the deformation process of hydrogels. Hydrogels are commonly defined as three dimensional networks of hydrophilic ...

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