Ara es mostren els items 1-20 de 21

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

      Castillo Blanco, Vanessa (Universitat Politècnica de Catalunya, 2014-10)
      Treball Final de Grau
      Accés obert
      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)
      Treball Final de Grau
      Accés obert
      Realitzat a/amb:   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)
      Projecte Final de Màster Oficial
      Accés obert
      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)
      Tesi
      Accés obert
      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)
      Treball Final de Grau
      Accés obert
      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)
      Projecte Final de Màster Oficial
      Accés obert
      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)
      Treball Final de Grau
      Accés restringit per acord de confidencialitat
      Realitzat a/amb:   Technische Universität München. Fakultät für Mathematik
    • Modelling attentional biases in bistable perception 

      Vilardell Barnosell, Marina (Universitat Politècnica de Catalunya, 2019-07)
      Projecte Final de Màster Oficial
      Accés obert
      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)
      Treball Final de Grau
      Accés restringit per acord de confidencialitat
      Realitzat a/amb:   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)
      Treball Final de Grau
      Accés restringit per decisió de l'autor
      Realitzat a/amb:   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)
      Treball Final de Grau
      Accés restringit per decisió de l'autor
      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)
      Projecte Final de Màster Oficial
      Accés obert
      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)
      Treball Final de Grau
      Accés obert
      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)
      Treball Final de Grau
      Accés obert
      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 ...
    • Sistemes dinàmics de contacte 

      Muñoz Checa, Daniel (Universitat Politècnica de Catalunya, 2022-07)
      Treball Final de Grau
      Accés obert
      Aquest treball de fi de grau presenta la geometria de contacte, una branca de la geometria diferencial que permet descriure geomètricament certs sistemes dinàmics com ara sistemes amb dissipació. Aquesta formulació permet ...
    • Spatial dynamics of Hepatitis B virus with its δ-satellite and defective interfering particles 

      Albó Delgado, Ariadna (Universitat Politècnica de Catalunya, 2020-10)
      Projecte Final de Màster Oficial
      Accés obert
      This project provides an indepth analysis of the spatio-temporal dynamics of the system Hepatitis B Virus (HBV) - Hepatitis Delta Virus (HDV) - Defective interfering particles (DIPs). HDV is a virus satellite that co-infects ...
    • Study of epidemic waves in a SEIR model 

      Feu Basilio, Teresa (Universitat Politècnica de Catalunya, 2021-07)
      Treball Final de Grau
      Accés obert
      Many infectious diseases like the Spanish flu (1918-1919) or currently SARS-CoV-2, also known as COVID19, exhibit a certain wave-like behaviour. An epidemic wave can be defined as the time-distance between two consecutive ...
    • Study of perturbations of an oscillating neuronal network via phase-amplitude response functions 

      Arqué Pérez, Ferran (Universitat Politècnica de Catalunya, 2021-10)
      Projecte Final de Màster Oficial
      Accés obert
      Phase reduction is a powerful tool for understanding the behavior of perturbed oscillators. It allows for the description of high-dimensional oscillatory systems in terms of a single variable, the phase. Alternatively, ...
    • Unifying Deterministic and Stochastic Models in Drylands 

      Pla Mauri, Jordi (Universitat Politècnica de Catalunya, 2021-05)
      Projecte Final de Màster Oficial
      Accés obert
      Understanding the causes and effects of spatial vegetation patterns in semi-arid ecosystems is a fundamental problem in ecology, especially because these can be used as early predictors for catastrophic shifts such as ...
    • Using heterogeneity for obtaining the Medial Axis Transform of natural images 

      Canet Tarrés, Gemma (Universitat Politècnica de Catalunya, 2018-05)
      Treball Final de Grau
      Accés obert
      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 ...