Now showing items 1-16 of 16

    • Dynamics and bifurcations in a simple quasispecies model of unstable tumorigenesis 

      Castillo Blanco, Vanessa (Universitat Politècnica de Catalunya, 2014-10)
      Bachelor thesis
      Open Access
      Cancer is a complex disease and thus is complicated to model. However, simple models that describe the main processes involved in tumoral dynamics, e.g., competition and mutation, can give us clues about cancer behaviour, ...
    • Estudio de la dinámica de un ecosistema marino 

      Castellví Linde, Gloria (Universitat Politècnica de Catalunya, 2016-05)
      Bachelor thesis
      Open Access
      Covenantee:   Institut de Ciències del Mar
      La aportación de los Sistemas dinámicos al estudio de modelos en Biología ha sido importante ya desde los primeros ejemplos asociados a dinámica de poblaciones: modelos depredador-presa, competición entre especies y muchos ...
    • Existence of invariant tori in skew-product systems: A computer assisted approach 

      Sandín Vidal, Eric (Universitat Politècnica de Catalunya, 2020-01)
      Master thesis
      Open Access
      This work is a computer assisted approach to the study of invariant manifolds in skew-product dynamical systems. More specifically, the existence of an invariant tori under a quasi-periodic perturbation of our system. The ...
    • Galoisian approach to supersymmetric quantum mechanics 

      Acosta Humánez, Primitivo Belén (Universitat Politècnica de Catalunya, 2009-07-02)
      Doctoral thesis
      Open Access
      Esta tesis versa sobre el punto de vista desde la Teoría de Galois Diferencial hacia la mecánica cuántica supersimétrica. El objeto principal considerado aquí es la ecuación deSchrödinger estacionaria no relativista, ...
    • Interference of defective particles in the replication of RNA viruses with satellites 

      Albó Delgado, Ariadna (Universitat Politècnica de Catalunya, 2018-09)
      Bachelor thesis
      Open Access
      In this project we have investigated a dynamical system describing the dynamics of a standard virus together with its defective interfering particles (DIPs) and a virus satellite. Our model is inspired in the hepatitis B ...
    • Invariant curves for area preserving maps 

      Wang, Chanyan (Universitat Politècnica de Catalunya, 2019-07)
      Master thesis
      Open Access
      This work aims to present tool of this approach is the so-called parameterization method, that produces a Newton-like iterative method to solve the invariance equation for an invariant torus, and the KAM theorem is a result ...
    • Modelling and analysis of crayfish competition 

      Solà Lorente, Jaume (Universitat Politècnica de Catalunya, 2015-09)
      Bachelor thesis
      Restricted access - confidentiality agreement
      Covenantee:   Technische Universität München. Fakultät für Mathematik
    • Modelling attentional biases in bistable perception 

      Vilardell Barnosell, Marina (Universitat Politècnica de Catalunya, 2019-07)
      Master thesis
      Open Access
      Binocular rivalry is a type of bistable perception phenomena that arises when the eyes are unable to combine ambiguous stimuli into a unique image. It promotes a competition process between the visual interpretations ...
    • Modelling the n - body chain collision problem 

      Zuloaga Geli, Ramon (Universitat Politècnica de Catalunya, 2015-05)
      Bachelor thesis
      Restricted access - confidentiality agreement
      Covenantee:   University of Bristol. Department of Engineering Mathematics
    • Nonlinear dynamics of replication modes in tunable deleterious fitness landscape 

      Fornés Tugores, Joan (Universitat Politècnica de Catalunya, 2017-07)
      Bachelor thesis
      Restricted access - author's decision
      Covenantee:   Centre de Recerca Matemàtica
      We analyze a system of nonlinear ordinary differential equations describing the intracellular amplification dynamics of viral RNA genomes. The replication modes considered range between two extremes given by the so-called ...
    • Option pricing using numerical methods for PDEs 

      Comas Ollé, Pau (Universitat Politècnica de Catalunya, 2016-07)
      Bachelor thesis
      Restricted access - author's decision
      Now a days mathematics can be used for many different purposes or topics, and every day new fields to be applied are found. One of this fields, which is becoming more and more popular, is financial mathematics. This thesis ...
    • Parameter estimation for a mathematical model predicting the COVID-19 spread in the Àrea Metropolitana de Barcelona 

      Kubik, Alicja Barbara (Universitat Politècnica de Catalunya, 2020-07)
      Master thesis
      Open Access
      Epidemiology is the medical discipline in charge of sudying the dynamics of a disease in a given population; particularly, we are interested in human infectious diseases. In the 18th century, with Daniel Bernouilli, a new ...
    • Phase-responsiveness transmission in a network of quadratic integrate-and-fire neurons 

      Arqué Pérez, Ferran (Universitat Politècnica de Catalunya, 2020-01)
      Bachelor thesis
      Open Access
      In the study of the dynamics of neuronal networks, it is interesting to see how the interaction between neurons can elicit different behaviours in each individual one. Moreover, this can lead to the population exhibiting ...
    • Population modelling for dormancy cancers 

      Juan Meroño, Marcel (Universitat Politècnica de Catalunya, 2020-07)
      Bachelor thesis
      Open Access
      Immunotherapy is a type of cancer treatment that boosts the natural defenses of the body to fight cancer without damaging normal cells. Many scientists have shown interest in developing a mathematical model that simulates ...
    • Using heterogeneity for obtaining the Medial Axis Transform of natural images 

      Canet Tarrés, Gemma (Universitat Politècnica de Catalunya, 2018-05)
      Bachelor thesis
      Open Access
      From Blum's Medial Axis Transform, that obtains the skeleton of binary images by joining the centers of all maximal inscribed disks in the shape, the AMAT was developed. The Appearance-MAT is a method that aims to compute ...
    • Warmer temperatures and their effect on East-African malaria 

      Pardo Araujo, Marta (Universitat Politècnica de Catalunya, 2020-07)
      Master thesis
      Open Access
      Malaria has been an issue worldwide for a long time, having a huge social, economic, and health burden. This disease occurs mostly in tropical and subtropical areas of the world, in countries where the levels of poverty ...