Resonances in the two centers Coulomb system

In this work we investigate the existence of resonances for two-centers Coulomb systems with arbitrary charges in two and three dimensions, defining them in terms of generalized complex eigenvalues of a non-selfadjoint deformation of the two-center Schrödinger operator. After giving a description of the bifurcation of the classical system for positive energies, we construct the resolvent kernel of the operators and we prove that they can be extended analytically to the second Riemann sheet. The resonances are then defined and studied with numerical methods and perturbation theory.

N-3 fatty acids and cardiovascular prevention

In this study we elucidate the role of polyunsaturated fatty acids (PUFAs) in the prevention of cardiovascular diseases, focusing the attention on their role in the modulation of acyl composition of cell lipids and of gene expression. Regarding this latter mechanism, the effectiveness of PUFAs as activators of two transcriptional factors, SREBPs and PPARs, have been considered. Two different model system have been used: primary cultures of neonatal rat cardiomyocytes and an human hepatoma cell line (HepG2). Cells have been supplemented with different PUFAs at physiological concentration, and special attention has been devoted to the main n-3 PUFAs, EPA and DHA. PUFAs influence on global gene expression in cardiomyocytes has been evaluated using microarray technique. Furthermore, since it is not fully elucidated which transcription factors are involved in this modulation in the heart, expression and activation of the three different PPAR isoforms have been investigated. Hepatocytes have been used as experimental model system in the evaluation of PUFAs effect on SREBP activity. SREBPs are considered the main regulator of cholesterol and triglyceride synthesis, which occur mainly in the liver. In both experimental models the modification of cell lipid fatty acid composition subsequent to PUFAs supplementation has been evaluated, and related to the effects observed at molecular level. The global vision given by the obtained results may be important for addressing new researches and be useful to educators and policy makers in setting recommendations for reaching optimal health through good nutrition.