Indicatori di correlazione e di disordine basati sul concetto di entropia

The aim of this work is to carry out an applicative, comparative and exhaustive study between several entropy based indicators of independence and correlation. We considered some indicators characterized by a wide and consolidate literature, like mutual information, joint entropy, relative entropy or Kullback Leibler distance, and others, more recently introduced, like Granger, Maasoumi and racine entropy, also called Sρ, or utilized in more restricted domains, like Pincus approximate entropy or ApEn. We studied the behaviour of such indicators applying them to binary series. The series was designed to simulate a wide range of situations in order to characterize indicators limit and capability and to identify, case by case, the more useful and trustworthy ones. Our target was not only to study if such indicators were able to discriminate between dependence and independence because, especially for mutual information and Granger, Maasoumi and Racine, that was already demonstrated and reported in literature, but also to verify if and how they were able to provide information about structure, complexity and disorder of the series they were applied to. Special attention was paid on Pincus approximate entropy, that is said by the author to be able to provide information regarding the level of randomness, regularity and complexity of a series. By means of a focused and extensive research, we furthermore tried to clear the meaning of ApEn applied to a couple of different series. In such situation the indicator is named in literature as cross-ApEn. The cross-ApEn meaning and the interpretation of its results is often not simple nor univocal and the matter is scarcely delved into by literature, thereby users can easily leaded up to a misleading conclusion, especially if the indicator is employed, as often unfortunately it happens, in uncritical manner. In order to plug some cross-ApEn gaps and limits clearly brought out during the experimentation, we developed and applied to the already considered cases a further indicator we called “correspondence index”. The correspondence index is perfectly integrated into the cross-ApEn computational algorithm and it is able to provide, at least for binary data, accurate information about the intensity and the direction of an eventual correlation, even not linear, existing between two different series allowing, in the meanwhile, to detect an eventual condition of independence between the series themselves.

Il processo migratorio come determinante della salute mentale: l'esperienza del Centro di Consultazione Socio-Culturale nel Distretto di Pianura Est, AUSL di Bologna.

La ricerca in oggetto ha analizzato le relazioni tra migrazione e salute mentale nel Distretto di Pianura Est dell'AUSL di Bologna. Attraverso un dispositivo d’indagine multi-disciplinare basato sui quadri teorici dell'Antropologia Medica Critica, della Salute Pubblica e della Psichiatria, la ricerca si è inserita nell’ampio contesto di sperimentazione di un innovativo modello di assistenza per pazienti migranti, denominato Centro di Consultazione Socio- Culturale. L'architettura dello studio si rifà a un modello di Ricerca-Azione Partecipata e Multi-Situata fondato su un approccio analitico e auto-riflessivo, il quale ha consentito di problematizzare, oltre alle azioni e alle traiettorie dei vari soggetti che operano nel campo della ricerca, anche le categorie oggetto della ricerca stessa. L'analisi, profondamente radicata nel dato empirico, è stata condotta a partire dall'esperienza degli attori sociali coinvolti. Le esperienze, le informazioni e le rappresentazioni reciproche sono state co-costruite in forma partecipativa attraverso l'uso combinato di metodologie quali-quantitative proprie sia delle discipline sanitarie sia di quelle sociali. Come materiali della ricerca sono stati utilizzati: dati primari e secondari prodotti dalle istituzioni e dalle organizzazioni del territorio stesso; informazioni provenienti dall'osservazione partecipante; colloqui con informatori-chiave; interviste semi-strutturate con decisori politici, amministratori, organizzazioni del territorio, operatori dei servizi, cittadini e pazienti. La ricerca ha dimostrato la validità delle prospettive teoriche utilizzate e delle strategie di lavoro proposte. Il modello di lavoro multi-disciplinare e multi-metodologico si è rivelato produttivo nell'indagare congiuntamente le prospettive degli attori coinvolti insieme alle loro traiettorie, alle reciproche interconnessioni e alle relazioni tra processi locali e globali. L’analisi auto-riflessiva ha consentito di analizzare le attività del Centro di Consultazione evidenziandone vantaggi e limiti. Infine, la collaborazione tra Salute Pubblica e Antropologia Medica Critica ha dimostrato una grande potenzialità e produttività sia sul versante della ricerca scientifica sia su quello dell'assistenza sanitaria.

Genome characterization through a mathematical model of the genetic code: an analysis of the whole chromosome 1 of A. thaliana

The objective of this work is to characterize the genome of the chromosome 1 of A.thaliana, a small flowering plants used as a model organism in studies of biology and genetics, on the basis of a recent mathematical model of the genetic code. I analyze and compare different portions of the genome: genes, exons, coding sequences (CDS), introns, long introns, intergenes, untranslated regions (UTR) and regulatory sequences. In order to accomplish the task, I transformed nucleotide sequences into binary sequences based on the definition of the three different dichotomic classes. The descriptive analysis of binary strings indicate the presence of regularities in each portion of the genome considered. In particular, there are remarkable differences between coding sequences (CDS and exons) and non-coding sequences, suggesting that the frame is important only for coding sequences and that dichotomic classes can be useful to recognize them. Then, I assessed the existence of short-range dependence between binary sequences computed on the basis of the different dichotomic classes. I used three different measures of dependence: the well-known chi-squared test and two indices derived from the concept of entropy i.e. Mutual Information (MI) and Sρ, a normalized version of the “Bhattacharya Hellinger Matusita distance”. The results show that there is a significant short-range dependence structure only for the coding sequences whose existence is a clue of an underlying error detection and correction mechanism. No doubt, further studies are needed in order to assess how the information carried by dichotomic classes could discriminate between coding and noncoding sequence and, therefore, contribute to unveil the role of the mathematical structure in error detection and correction mechanisms. Still, I have shown the potential of the approach presented for understanding the management of genetic information.