Analyzing the dependence structure of microarray data: a copula–based approach

The main aim of this Ph.D. dissertation is the study of clustering dependent data by means of copula functions with particular emphasis on microarray data. Copula functions are a popular multivariate modeling tool in each field where the multivariate dependence is of great interest and their use in clustering has not been still investigated. The first part of this work contains the review of the literature of clustering methods, copula functions and microarray experiments. The attention focuses on the K–means (Hartigan, 1975; Hartigan and Wong, 1979), the hierarchical (Everitt, 1974) and the model–based (Fraley and Raftery, 1998, 1999, 2000, 2007) clustering techniques because their performance is compared. Then, the probabilistic interpretation of the Sklar’s theorem (Sklar’s, 1959), the estimation methods for copulas like the Inference for Margins (Joe and Xu, 1996) and the Archimedean and Elliptical copula families are presented. In the end, applications of clustering methods and copulas to the genetic and microarray experiments are highlighted. The second part contains the original contribution proposed. A simulation study is performed in order to evaluate the performance of the K–means and the hierarchical bottom–up clustering methods in identifying clusters according to the dependence structure of the data generating process. Different simulations are performed by varying different conditions (e.g., the kind of margins (distinct, overlapping and nested) and the value of the dependence parameter ) and the results are evaluated by means of different measures of performance. In light of the simulation results and of the limits of the two investigated clustering methods, a new clustering algorithm based on copula functions (‘CoClust’ in brief) is proposed. The basic idea, the iterative procedure of the CoClust and the description of the written R functions with their output are given. The CoClust algorithm is tested on simulated data (by varying the number of clusters, the copula models, the dependence parameter value and the degree of overlap of margins) and is compared with the performance of model–based clustering by using different measures of performance, like the percentage of well–identified number of clusters and the not rejection percentage of H0 on . It is shown that the CoClust algorithm allows to overcome all observed limits of the other investigated clustering techniques and is able to identify clusters according to the dependence structure of the data independently of the degree of overlap of margins and the strength of the dependence. The CoClust uses a criterion based on the maximized log–likelihood function of the copula and can virtually account for any possible dependence relationship between observations. Many peculiar characteristics are shown for the CoClust, e.g. its capability of identifying the true number of clusters and the fact that it does not require a starting classification. Finally, the CoClust algorithm is applied to the real microarray data of Hedenfalk et al. (2001) both to the gene expressions observed in three different cancer samples and to the columns (tumor samples) of the whole data matrix.

Musica come Scienza dell'uomo. I caratteri del sapere musicale nel Settecento britannico

The departure point of the present work is the idea that in order to understand what music meant to British society in the Eighteenth-Century an interdisciplinary approach is necessary. Natural philosophy, moral philosophy, musical treatises and histories of music: all these sources concur both to the creation of a new idea about what music and its ‘science’ are, and to question the place which music ought to have in the realm of the Science of Man. The dissertation is divided into two sections. In the first one we will take into account philosophical sources (from John Locke, Joseph Addison and Lord Shaftesbury, to Lord Kames and Adam Smith), and we will examine their thoughts on music. In the second one we will deal with musical sources (from the Treatise of Musick of Alexander Malcom, to the Histories of Music of Charles Burney and John Hawkins) in order to show their connection with the philosophical literature before mentioned. The main aim of the work it to show that the development of specific philosophies of the human mind, such as the ones of John Locke and David Hume, did influence the way in which music was thought. Particularly we will point out the case of Adam Smith’s interpretation of instrumental music, which is heavily indebted to the humeian model of the human mind.

Different approaches to identify markers for meat quality and production traits in pigs: analysis of the transcriptome in post mortem skeletal muscle and investigation of candidate genes

Due to the growing attention of consumers towards their food, improvement of quality of animal products has become one of the main focus of research. To this aim, the application of modern molecular genetics approaches has been proved extremely useful and effective. This innovative drive includes all livestock species productions, including pork. The Italian pig breeding industry is unique because needs heavy pigs slaughtered at about 160 kg for the production of high quality processed products. For this reason, it requires precise meat quality and carcass characteristics. Two aspects have been considered in this thesis: the application of the transcriptome analysis in post mortem pig muscles as a possible method to evaluate meat quality parameters related to the pre mortem status of the animals, including health, nutrition, welfare, and with potential applications for product traceability (chapters 3 and 4); the study of candidate genes for obesity related traits in order to identify markers associated with fatness in pigs that could be applied to improve carcass quality (chapters 5, 6, and 7). Chapter three addresses the first issue from a methodological point of view. When we considered this issue, it was not obvious that post mortem skeletal muscle could be useful for transcriptomic analysis. Therefore we demonstrated that the quality of RNA extracted from skeletal muscle of pigs sampled at different post mortem intervals (20 minutes, 2 hours, 6 hours, and 24 hours) is good for downstream applications. Degradation occurred starting from 48 h post mortem even if at this time it is still possible to use some RNA products. In the fourth chapter, in order to demonstrate the potential use of RNA obtained up to 24 hours post mortem, we present the results of RNA analysis with the Affymetrix microarray platform that made it possible to assess the level of expression of more of 24000 mRNAs. We did not identify any significant differences between the different post mortem times suggesting that this technique could be applied to retrieve information coming from the transcriptome of skeletal muscle samples not collected just after slaughtering. This study represents the first contribution of this kind applied to pork. In the fifth chapter, we investigated as candidate for fat deposition the TBC1D1 [TBC1 (tre-2/USP6, BUB2, cdc16) gene. This gene is involved in mechanisms regulating energy homeostasis in skeletal muscle and is associated with predisposition to obesity in humans. By resequencing a fragment of the TBC1D1 gene we identified three synonymous mutations localized in exon 2 (g.40A>G, g.151C>T, and g.172T>C) and 2 polymorphisms localized in intron 2 (g.219G>A and g.252G>A). One of these polymorphisms (g.219G>A) was genotyped by high resolution melting (HRM) analysis and PCR-RFLP. Moreover, this gene sequence was mapped by radiation hybrid analysis on porcine chromosome 8. The association study was conducted in 756 performance tested pigs of Italian Large White and Italian Duroc breeds. Significant results were obtained for lean meat content, back fat thickness, visible intermuscular fat and ham weight. In chapter six, a second candidate gene (tribbles homolog 3, TRIB3) is analyzed in a study of association with carcass and meat quality traits. The TRIB3 gene is involved in energy metabolism of skeletal muscle and plays a role as suppressor of adipocyte differentiation. We identified two polymorphisms in the first coding exon of the porcine TRIB3 gene, one is a synonymous SNP (c.132T> C), a second is a missense mutation (c.146C> T, p.P49L). The two polymorphisms appear to be in complete linkage disequilibrium between and within breeds. The in silico analysis of the p.P49L substitution suggests that it might have a functional effect. The association study in about 650 pigs indicates that this marker is associated with back fat thickness in Italian Large White and Italian Duroc breeds in two different experimental designs. This polymorphisms is also associated with lactate content of muscle semimembranosus in Italian Large White pigs. Expression analysis indicated that this gene is transcribed in skeletal muscle and adipose tissue as well as in other tissues. In the seventh chapter, we reported the genotyping results for of 677 SNPs in extreme divergent groups of pigs chosen according to the extreme estimated breeding values for back fat thickness. SNPs were identified by resequencing, literature mining and in silico database mining. analysis, data reported in the literature of 60 candidates genes for obesity. Genotyping was carried out using the GoldenGate (Illumina) platform. Of the analyzed SNPs more that 300 were polymorphic in the genotyped population and had minor allele frequency (MAF) >0.05. Of these SNPs, 65 were associated (P<0.10) with back fat thickness. One of the most significant gene marker was the same TBC1D1 SNPs reported in chapter 5, confirming the role of this gene in fat deposition in pig. These results could be important to better define the pig as a model for human obesity other than for marker assisted selection to improve carcass characteristics.

Study of thiabendazole resistance and volatile organic compounds production of Penicillium expansum strains

The years of excessive use of thiabendazole to control Penicillium expansum has induced the development of resistance. Sensitivity of fourty eight strains collected from orchards and packinghouses in Emilia Romagna to pure and commercial TBZ was determined in vitro on TBZ amended medium (400μg/mL). Out of 48 strains, 35 were thiabendazole-sensitive (S) and 13 were thiabendazole-resistant (R). Microtiter assay adapted to P. expansum, showed EC50 values ranging from 54 to 320 μg/mL for ten TBZ-resistant strains. At the highest dose (50 μg/mL), resistant strains growth was not inhibited and the reported MICs value were >1000 μg/mL. Therefore, preliminary screening combined with microtiter assay, can be a good strategy to test susceptibility to TBZ. Mutations in the β-tubulin gene were studied on amino acid sequences from residue 167 to residue 357 of 10 P. expansum strains. Mutation at codon 198 was associated with TBZ-resistance. However, its absence in 3 resistant strains can be explained by the involvement of other mechanisms. Moreover, a P. expansum strain LB8/99 showed good antifungal effect against some fungal pathogens through double petri dish assay. It inhibited both mycelium growth and conidia germination of B. cinerea, C. acutatum, and M. laxa, and reduced significantly by 53% and 18% respectively P. expansum. Three major VOCS: geosmin, phenethyl alcolhol (PEA) and an unknown substance were identified by GC-MS analysis. Consistent fumigation of fungal pathogens with PEA (1230 mg/mL), inhibited both conidia germination and mycelium growth of all pathogens, except conidia germination of P. expansum that was reduced by 90% with respect to control. While, the concentration of PEA produced naturally by LB8/99 was ineffective in controlling the pathogens and seemed to have a synergic or additive effect with the other VOCS. Investigations to study the biofumigant effect of LB8/99 on other commodities like seeds and seedlings are in progress.