Facultat de Matemàtiques i Estadística: Recent submissions
Now showing items 61-80 of 116
On the role of oscillatory dynamics in neural communication
In 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
Given 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
This 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
We 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
After 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
Decision-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
In 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
The 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
Structure 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
In 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
This 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
In 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 ...
Novel consensus strategies applied to spacecraft formation flight
In this thesis we consider the problem of developing distributed control strategies for spacecraft formation flying. In light of possible interferometric applications, the study is conducted in two different contexts: ...
Efficient solvers for power flow equations : parametric solutions with accuracy control assessment
The Power Flow model is extensively used to predict the behavior of electric grids and results in solving a nonlinear algebraic system of equations. Modeling the grid is essential for design optimization and control. Both ...
A theoretical and computational study of the mechanics of biomembranes at multiple scales
Lipid membranes are thin objects that form the main separation structure in cells. They have remarkable mechanical properties; while behaving as a solid shell against bending, they exhibit in-plane fluidity. These two ...
Advanced cryptographic techniques for building verifiable and transparent electronic voting protocols
Electronic voting presents many challenges due to its multiple security requirements. Some of the challenges are related to guaranteeing voters' privacy and system's transparency, which are hard to satisfy simultaneously. ...
Integrable systems on b-symplectic manifolds
The study of b-symplectic manifolds was initiated in 2012 by the works of Victor Guillemin, Eva Miranda and Ana Rita Pires (Adv. Math. 264 (2014), 864¿896). These manifolds, which can be understood as symplectic manifolds ...
Graph enumeration and random graphs
In this thesis we use analytic combinatorics to deal with two related problems: graph enumeration and random graphs from constrained classes of graphs. We are interested in drawing a general picture of some graph families ...
Monotonicity preserving shock capturing techniques for finite elements
The main object of study of this thesis is the development of artificial diffusion shock capturing techniques for continuous and discontinuous Galerkin (cG and dG) approximations of the convection-diffusion problem. Special ...
