Recent Submissions

  • Numerical modelling of the growth of glioblastoma cells in microfluidic devices 

    Elzaurdi Carrera, Maria (Universitat Politècnica de Catalunya, 2022-06)
    Master thesis
    Open Access
    Glioblastoma Multiform tumour (GBM) is the most common and aggressive of the primary gliomas. Therefore, special efforts are focused on the development of new drugs and therapies that can lead to a better prognosis. To ...
  • Rings of differential operators on singular varieties 

    Barbero Lucas, Beatriz (Universitat Politècnica de Catalunya, 2022-07)
    Master thesis
    Open Access
    This project will be centered in the study of rings of differential operators on singular varieties and the theory of D-modules. We will start with the ring of k-linear differential operators on a polynomial ring. We will ...
  • Trajectory based map quality evaluation 

    Gómez Barroso, Daniel (Universitat Politècnica de Catalunya, 2022-05)
    Master thesis
    Open Access
    In this Thesis we approach a problem related with map generation. Automatically generated maps still have some room to improve in terms of precision or consistency. This is why we decided to study a method that could ...
  • Asymptotics in the schema of simple varieties of trees 

    Garrido Pérez, Iñaki (Universitat Politècnica de Catalunya, 2022-05)
    Master thesis
    Open Access
    We study the functional equation y(x) = xA(y(x)) satisfied by the generating functions in the schema of simple varieties of trees. The radii of convergence r, R of y, A respectively satisfy y(r) <= R. In the subcritical ...
  • Control of synchronization phenomena in Complex Networks: The Kuramoto Model 

    Lagos, Dimitrios (Universitat Politècnica de Catalunya, 2022-05)
    Master thesis
    Open Access
    Covenantee:   Universitat Rovira i Virgili
    The notion of Control in Complex Systems has started almost 60 years ago by Kalman. However, the results obtained were not sufficient for systems with complex topologies (Complex Networks) and non-linear dynamics. Thanks ...
  • Shorter secret keys in multivariate cryptography through optimal subspace representations 

    Arnal Clemente, Xavier (Universitat Politècnica de Catalunya, 2022-05)
    Master thesis
    Open Access
    La criptografia multivariant (MVQC) és, actualment, una de les famílies d'esquemes criptogràfics més prometedores en l'àmbit postquàntic. Tanmateix, amb freqüència pateix de claus d'una mida excessiva o suposicions de ...
  • Enumeration of chordal planar graphs and maps 

    Castellví Foguet, Jordi (Universitat Politècnica de Catalunya, 2022-05)
    Master thesis
    Open Access
    We determine the number of labelled chordal planar graphs with $n$ vertices, which is asymptotically $c_1\cdot n^{-5/2} \gamma^n n!$ for a constant $c_1>0$ and $\gamma \approx 11.89235$. We also determine the number of ...
  • Solutions of linear equations in pseudorandom sets 

    Ortega Sánchez-Colomer, Miquel (Universitat Politècnica de Catalunya, 2022-01)
    Master thesis
    Open Access
    A common theme in modern combinatorics consists in proving sparse analogues of results known in the dense setting. We review some of these for linear systems of equations. We first prove sparse analogues for random sets ...
  • Lung cancer model calibration using linearly constrained optimization 

    Gnutti Sandiumenge, Gerard (Universitat Politècnica de Catalunya, 2022-01)
    Master thesis
    Open Access
    When modeling cancer evolution to simulate possible future prevention strategies, it is of great importance to calibrate the model to make sure that it reproduces properly the present situation. This leads to a constrained ...
  • On the number of periodic orbits in billiards with flat points 

    Chaikh Vidal, Aida (Universitat Politècnica de Catalunya, 2022-01)
    Master thesis
    Open Access
    A billiard is a map that describes the motion of a ball without mass in a closed region on the plane such that the collisions with the boundary are elastic. The region where the ball moves is the billiard table. In this ...
  • Hopf and Neimark-Sacker bifurcations: applications to discrete-time hypercycles with functional shifts 

    Perona García, Júlia (Universitat Politècnica de Catalunya, 2021-10)
    Master thesis
    Open Access
    Hypercycles are cyclic catalytic sets of replicating macromolecules, where each one of the species catalyzes the replication of the next species of the set. This system has been widely studied within the framework of origins ...
  • Efficient deep ensembles by averaging neural networks in parameter space 

    Norris Mitchell, Philip (Universitat Politècnica de Catalunya, 2021-10)
    Master thesis
    Open Access
    Although deep ensembles provide large accuracy boosts relative to individual models, their use is not widespread in environments in which computational constraints are limited, as deep ensembles require storing M models ...

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