Master of Science in Advanced Mathematics and Mathematical Engineering (MAMME)
Recent Submissions
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High-Order Continuous Galerkin Formulation for Glioblastoma Growth Simulation
(Universitat Politècnica de Catalunya, 2024-05-21)
Master thesis
Open AccessIn this work, we develop a high-order continuous Galerkin (CG) formulation with static condensation to simulate Glioblastoma (GB) growth. GB is the most aggressive brain cancer with high mortality ratios. High-order CG ... -
Introducing membrane curvature in the modeling of amoeboid migration and membrane waves
(Universitat Politècnica de Catalunya, 2024-05-22)
Master thesis
Open AccessL'objectiu d'aquest treball és estudiar el paper de la curvatura de la membrana en el moviment ameboide. Ampliem el model de migració cel·lular ameboide d'Alonso et al. (2018) incorporant-hi una força activa dependent de ... -
Plasticity-driven dynamics in spiking stabilized supralinear networks
(Universitat Politècnica de Catalunya, 2024-05-17)
Master thesis
Restricted access - confidentiality agreement
Covenantee: Technische Universität MünchenIn the pursuit of understanding the complex mechanisms of the brain, computational neuroscience employs mathematical models to abstract and simulate processes that govern neural systems. By treating the brain as a dynamical ... -
A Manifold learning framework for generating synthetic time-series single-cell data viavariational autoencoders
(Universitat Politècnica de Catalunya, 2024-05-22)
Master thesis
Open Access
Covenantee: Universitätsklinikum Freiburg -
Spectral gap of generalized MIT bag models
(Universitat Politècnica de Catalunya, 2024-01-24)
Master thesis
Open Access
Covenantee: Centre de Recerca MatemàticaWe study some spectral properties of generalized MIT bag models. These are a family of Dirac operators $\{H_\tau\}_{\tau \in \mathbb R\cup \{-\infty, +\infty\}}$ used in the field of relativistic quantum mechanics to model ... -
Development of predictive flight fuel consumption models
(Universitat Politècnica de Catalunya, 2024-01-24)
Master thesis
Open AccessFuel consumption is a crucial consideration in the aviation industry. This last one, integral to global connectivity, faces significant environmental concerns due to the escalating demand for air travel and its substantial ... -
Network creation games: NE graphs for high-price links
(Universitat Politècnica de Catalunya, 2024-01-23)
Master thesis
Open AccessNetwork Creation Games (NCGs) are a long-standing, well-studied setting in Algorithmic Game Theory. In this game, the players consist of nodes in a graph that purchase other nodes at cost α, a parameter of the game. In the ... -
Interpolation and geometrical transition of minimal surfaces with differential adhesion
(Universitat Politècnica de Catalunya, 2023-10-16)
Master thesis
Open AccessThe observed shape of cells can be understood and simplified to a contractile surface with a volume preserving constraint. Vertex models are a suitable approach to simulate such systems and attempt to numerically simulate ... -
Reconstructing a dynamic world: What is next?
(Universitat Politècnica de Catalunya, 2023-10-16)
Master thesis
Open AccessIn this thesis, we study the problem denoted as Non-Rigid Structure from Motion and tackle the two distinct parts of the problem: motion and shape estimation together with the corresponding temporal segmentation into ... -
Succinct encodings of graphs and other combinatorial structures
(Universitat Politècnica de Catalunya, 2023-10-16)
Master thesis
Open AccessConsiderem el següent problema. Donada una família de grafs amb un cert nombre de grafs amb n vèrtexs, volem trobar una representació per a qualsevol graf dins la família fent servir un nombre òptim de bits. És a dir, sigui ... -
Variants and applications of Gehring's lemma
(Universitat Politècnica de Catalunya, 2023-10-18)
Master thesis
Open AccessIn this thesis, we present and prove the celebrated Gehring's Lemma in $\mathbb{R}^n$, that unveils a self-improving property of reverse Hölder inequalities, considering inhomogeneity. Subsequently, we apply the former ... -
On the number of drawings of a combinatorial triangulations
(Universitat Politècnica de Catalunya, 2023-10-16)
Master thesis
Open AccessAquesta tesi explora la relació entre triangulacions combinatòries i geomètriques en geometria discreta i combinatòria. Per triangulacions combinatòries ens referim a grafs, mentre que per triangulacions geomètriques ens ...
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