Facultat de Matemàtiques i Estadística
Recent Submissions
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On the role of oscillatory dynamics in neural communication
(Universitat Politècnica de Catalunya, 2019-04-04)
Doctoral thesis
Open AccessIn this Thesis we consider problems concerning brain oscillations generated across the interaction between excitatory (E) and inhibitory (I) cells. We explore how two neuronal groups with underlying oscillatory activity ... -
Inverse Jacobian and related topics for certain superelliptic curves
(Universitat Politècnica de Catalunya, 2019-03-28)
Doctoral thesis
Open Access
Covenantee: Universiteit LeidenGiven an elliptic curve E over the complex numbers (CC) given by y^2 = x^3 + ax + b, there exists a lattice L in CC such that the group E(CC) of complex points on E is isomorphic to the complex analytic group CC/L. This ... -
Parallel Lagrangian particle transport : application to respiratory system airways
(Universitat Politècnica de Catalunya, 2018-11-09)
Doctoral thesis
Open AccessThis thesis is focused on particle transport in the context of high computing performance (HPC) in its widest range, from the numerical modeling to the physics involved, including its parallelization and post-process. The ... -
A theoretical and computational study of soft adhesion mediated by mobile binders
(Universitat Politècnica de Catalunya, 2018-10-29)
Doctoral thesis
Open AccessWe examine a classical problem in soft-matter physics: the specific adhesion between deformable elastic objects, such as vesicles, mediated by mobile adhesion molecules. This problem is relevant to cell-cell adhesion. To ... -
Multimodal ventricular tachycardia analysis : towards the accurate parametrization of predictive HPC electrophysiological computational models
(Universitat Politècnica de Catalunya, 2018-07-30)
Doctoral thesis
Open AccessAfter a myocardial infarction, the affected areas of the cardiac tissue suffer changes in their electrical and mechanical properties. This post-infarction scar tissue has been related with a particular type of arrhythmia: ... -
A contribution to consensus modeling in decision-making by means of linguistic assessments
(Universitat Politècnica de Catalunya, 2018-07-20)
Doctoral thesis
Open AccessDecision-making is an active field of research. Specifically, in recent times, a lot of contributions have been presented on decision-making under linguistic assessments. To tackle this kind of processes, hesitant fuzzy ... -
Global instability in Hamiltonian systems
(Universitat Politècnica de Catalunya, 2018-07-11)
Doctoral thesis
Open AccessIn Chapters 1 and 2 of this thesis, we prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical ... -
A multisymplectic approach to gravitational theories
(Universitat Politècnica de Catalunya, 2018-07-25)
Doctoral thesis
Open AccessThe theories of gravity are one of the most important topics in theoretical physics and mathematical physics nowadays. The classical formulation of gravity uses the Hilbert-Einstein Lagrangian, which is a singular ... -
A study of cortical network models with realistic connectivity
(Universitat Politècnica de Catalunya, 2018-03-23)
Doctoral thesis
Open AccessStructure is fundamental in shaping the types of computations that neuronal circuits can perform. Explaining the laws that determine the connectivity properties of brain networks and their implications in neuronal dynamics ... -
Mathematical modelling of diffusion processes at the nanoscale
(Universitat Politècnica de Catalunya, 2018-03-16)
Doctoral thesis
Open AccessIn this thesis we study diffusion processes of nanoparticle evolution and develop appropriate models with the aim of being able to optimise their functions according to the needs of industry. Two distinct diffusion processes ... -
Hybrid cell-centred/vertex model for multicellular systems
(Universitat Politècnica de Catalunya, 2017-11-11)
Doctoral thesis
Open AccessThis thesis presents a hybrid vertex/cell-centred approach to mechanically simulate planar cellular monolayers undergoing cell reorganisation. Cell centres are represented by a triangular nodal network, while the cell ... -
On some spectral and combinatorial properties of distance-regular graphs and their generalizations
(Universitat Politècnica de Catalunya, 2017-11-24)
Doctoral thesis
Open AccessIn this work we present the study we did in Graph Theory. In the firsts chapteres of the tesis we study the pieces of information that can be obtained from a graph: the spectrum of the adjacency matrix, the preintersection ...
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