Analisi di dati citofluorimetrici con tecniche di Data Mining

Il citofluorimetro è uno strumento impiegato in biologia genetica per analizzare dei campioni cellulari: esso, analizza individualmente le cellule contenute in un campione ed estrae, per ciascuna cellula, una serie di proprietà fisiche, feature, che la descrivono. L’obiettivo di questo lavoro è mettere a punto una metodologia integrata che utilizzi tali informazioni modellando, automatizzando ed estendendo alcune procedure che vengono eseguite oggi manualmente dagli esperti del dominio nell’analisi di alcuni parametri dell’eiaculato. Questo richiede lo sviluppo di tecniche biochimiche per la marcatura delle cellule e tecniche informatiche per analizzare il dato. Il primo passo prevede la realizzazione di un classificatore che, sulla base delle feature delle cellule, classifichi e quindi consenta di isolare le cellule di interesse per un particolare esame. Il secondo prevede l'analisi delle cellule di interesse, estraendo delle feature aggregate che possono essere indicatrici di certe patologie. Il requisito è la generazione di un report esplicativo che illustri, nella maniera più opportuna, le conclusioni raggiunte e che possa fungere da sistema di supporto alle decisioni del medico/biologo.

Quantum solitons in the XXZ model with staggered external magnetic field

The 1-D 1/2-spin XXZ model with staggered external magnetic field, when restricting to low field, can be mapped into the quantum sine-Gordon model through bosonization: this assures the presence of soliton, antisoliton and breather excitations in it. In particular, the action of the staggered field opens a gap so that these physical objects are stable against energetic fluctuations. In the present work, this model is studied both analytically and numerically. On the one hand, analytical calculations are made to solve exactly the model through Bethe ansatz: the solution for the XX + h staggered model is found first by means of Jordan-Wigner transformation and then through Bethe ansatz; after this stage, efforts are made to extend the latter approach to the XXZ + h staggered model (without finding its exact solution). On the other hand, the energies of the elementary soliton excitations are pinpointed through static DMRG (Density Matrix Renormalization Group) for different values of the parameters in the hamiltonian. Breathers are found to be in the antiferromagnetic region only, while solitons and antisolitons are present both in the ferromagnetic and antiferromagnetic region. Their single-site z-magnetization expectation values are also computed to see how they appear in real space, and time-dependent DMRG is employed to realize quenches on the hamiltonian parameters to monitor their time-evolution. The results obtained reveal the quantum nature of these objects and provide some information about their features. Further studies and a better understanding of their properties could bring to the realization of a two-level state through a soliton-antisoliton pair, in order to implement a qubit.

Moduli stabilisation and soft supersymmetry breaking in string compactifications

In this thesis, we shall work in the framework of type IIB Calabi-Yau flux compactifications and present a detailed review of moduli stabilisation studying in particular the phenomenological implications of the LARGE-volume scenario (LVS). All the physical relevant quantities such as moduli masses and soft-terms, are computed and compared to the phenomenological constraints that today guide the research. The structure of this thesis is the following. The first chapter introduces the reader to the fundamental concepts that are essentially supersymmetry-breaking, supergravity and string moduli, which represent the basic framework of our discussion. In the second chapter we focus our attention on the subject of moduli stabilisation. Starting from the structure of the supergravity scalar potential, we point out the main features of moduli dynamics, we analyse the KKLT and LARGE-volume scenario and we compute moduli masses and couplings to photons which play an important role in the early-universe evolution since they are strictly related to the decay rate of moduli particles. The third chapter is then dedicated to the calculation of soft-terms, which arise dynamically from gravitational interactions when moduli acquire a non-zero vacuum expectation value (VeV). In the last chapter, finally, we summarize and discuss our results, underling their phenomenological aspects. Moreover, in the last section we analyse the implications of the outcomes for standard cosmology, with particular interest in the cosmological moduli problem.