Mathematical Science
Director: The Graduate School in Mathematical Sciences of the University of Milan
PhD Program in Mathematics and Statistics for Computational Sciences
The Graduate School in Mathematical Sciences of the University of Milan consists of two PhD Programmes, one in Mathematics and the other one in Mathematics and Statistics for Computational Sciences.
This series includes selected PhD Theses of the School for a better diffusion of them within the international scientific community.
Digital copies of all volumes in this series will be available in Open Access at AIR, the Institutional Archive of the University of Milan.
I TITOLI DI QUESTA COLLANA
Stefano Zampini, NON-OVERLAPPING DOMAIN DECOMPOSITION METHODS FOR THREE-DIMENSIONAL CARDIAC REACTION-DIFFUSION MODELS AND APPLICATIONS
Recent advances in biotechnology and the availability of ever more powerful computers have led to the formulation of increasingly complex models at all levels of life sciences, in particular of cardiac electrophysiology. Multiscale modeling of the bioelectric activity of the heart, taking into account macroscopic (fiber architecture and anisotropy) and microscopic (cellular) features of the Leggi tutto »Paola M.V. Rancoita, STOCHASTIC METHODS IN CANCER RESERCH. APPLICATIONS TO GENOMICS AND ANGIOGENESIS
In this thesis, I study three stochastic methods that can be applied for the analysis of data in cancer research and, in particular, to cancer genomic data and to images of angiogenic processes. Cancer is a multistep process where the accumulation of genomic lesions alters cell biology. The latter is under control of several pathways Leggi tutto »Matteo Bianchi, ON SOME AXIOMATIC EXTENSIONS OF THE MONOIDAL T-NORM BASED LOGIC MTL: AN ANALYSIS IN THE PROPOSITIONAL AND IN THE FIRST-ORDER CASE
The scientific area this thesis belongs to is many-valued logics: this means logics in which, from the semantical point of view, we have “intermediate” truth-values, between 0 and 1 (which in turns are designated to represent, respectively, the “false” and the “true”). The classical logic (propositional, for simplicity) is based on the fact that every Leggi tutto »Marco Maggis, On quasiconvex conditional maps
Quasiconvex analysis has important applications in several optimization problems in science, economics and in finance, where convexity may be lost due to absence of global risk aversion, as for example in Prospect Theory [57]. Our interest in quasiconvex analysis was triggered by the recent paper [11] on quasiconvex risk measures, where the authors show that Leggi tutto »Antonio Giuliano Zippo, NEURONAL ENSEMBLE MODELING AND ANALYSIS WITH VARIABLE ORDER MARKOV MODELS.
Neuronal cells (neurons) mainly transmit signals by action potentials or spikes. Neuronal electrical activity is recorded from experimental animals by microelectrodes placed in specific brain areas. These electrochemical fast phenomena occur as all-or-none events and can be analyzed as boolean sequences. Following this approach, several computational analyses reported most variable neuronal behaviors expressed through a Leggi tutto »

