Zeros, interpolació i l'anell de funcions holomorfes en una regió

Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2021, Director: Ma. Carme Cascante[en] In this work, we study the construction of holomorphic functions with prescribed zeros on a domain given by the Weierstrass zeros theorem and use this result and Mittag-Leffler's theorem to interpolate a sequence of numbers by a holomorphic function. As an application of the previous topics, we study some algebraic properties of the ring $\mathcal{H}(\Omega)$ and its ideals. In particular, we prove a Bézout identity in this ring given by Wedderburn lemma. Finally, we prove Bers' theorem, which states that if the holomorphic function rings on two domains are algebraically equivalent, then the respective domains are conformally equivalent

Ion mobility-Mass spectrometry for bioanalysis

This paper aims to cover the main strategies based on ion mobility spectrometry (IMS) for the analysis of biological samples. The determination of endogenous and exogenous compounds in such samples is important for the understanding of the health status of individuals. For this reason, the development of new approaches that can be complementary to the ones already established (mainly based on liquid chromatography coupled to mass spectrometry) is welcomed. In this regard, ion mobility spectrometry has appeared in the analytical scenario as a powerful technique for the separation and characterization of compounds based on their mobility. IMS has been used in several areas taking advantage of its orthogonality with other analytical separation techniques, such as liquid chromatography, gas chromatography, capillary electrophoresis, or supercritical fluid chromatography. Bioanalysis is not one of the areas where IMS has been more extensively applied. However, over the last years, the interest in using this approach for the analysis of biological samples has clearly increased. This paper introduces the reader to the principles controlling the separation in IMS and reviews recent applications using this technique in the field of bioanalysis

Kinetico-mechanistic studies on intramolecular C-X bond activation (X = Br, Cl) of amino-imino ligands on Pt(II) compounds. Prevalence of a concerted mechanism in nonpolar, polar and ionic liquid media

The C–Br and C–Cl oxidative addition reactions of molecules containing a set of {N-amino,N-imino} chelating donor groups (2-X,6-YC6H4CHNCH2CH2NMe2, X = Br, Cl; Y = Cl, H) attached to a {PtII(Ar)2} (Ar = Ph, 4-MeC6H4) have been studied. The Pt(IV) complexes formed, [PtAr2X{2-YCC5H3CH═NCH2CH2NMe2}], containing a metalated tridentate [C,N,N′] ligand have been fully characterized by the usual techniques, and the X-ray crystal structure of the complex with Ar = 4-MeC6H4 and X =Y = Cl has been determined. Monitoring of the reactions at varying temperatures and pressures and in different solvents agrees with a mechanism that involves the preliminary decoordination of the N-amino donor from the ligand to produce a three-coordinated intermediate. This evolves, via a concerted C–X bond activation, to form a second pentacoordinated intermediate species that, on coordination of the N-amino donor, produces the final complex. The kinetico-mechanistic parameters measured indicate that the concerted character of the process is maintained from nonpolar (xylene and toluene) to polar (acetone) and ionic liquid ((Bmin(NTf2)) media. Furthermore, the ΔV⧧ values measured indicate that, for the (2,6-Cl)C6H3CH═NCH2CH2NMe2 ligand, the existence of hydrogen bonding within the metalating molecule is a determinant for the acceleration observed

Efficacy and safety of once-daily aclidinium in chronic obstructive pulmonary disease

BACKGROUND: The long-term efficacy and safety of aclidinium bromide, a novel, long-acting muscarinic antagonist, were investigated in patients with moderate to severe chronic obstructive pulmonary disease (COPD). METHODS: In two double-blind, 52-week studies, ACCLAIM/COPD I (n=843) and II (n=804), patients were randomised to inhaled aclidinium 200 μg or placebo once-daily. Patients were required to have a post-bronchodilator forced expiratory volume in 1 second (FEV1)/forced vital capacity ratio of ≤70% and FEV1<80% of the predicted value. The primary endpoint was trough FEV1 at 12 and 28 weeks. Secondary endpoints were health status measured by St George's Respiratory Questionnaire (SGRQ) and time to first moderate or severe COPD exacerbation. RESULTS: At 12 and 28 weeks, aclidinium improved trough FEV1 versus placebo in ACCLAIM/COPD I (by 61 and 67 mL; both p<0.001) and ACCLAIM/COPD II (by 63 and 59 mL; both p<0.001). More patients had a SGRQ improvement≥4 units at 52 weeks with aclidinium versus placebo in ACCLAIM/COPD I (48.1% versus 39.5%; p=0.025) and ACCLAIM/COPD II (39.0% versus 32.8%; p=0.074). The time to first exacerbation was significantly delayed by aclidinium in ACCLAIM/COPD II (hazard ratio [HR] 0.7; 95% confidence interval [CI] 0.55 to 0.92; p=0.01), but not ACCLAIM/COPD I (HR 1.0; 95% CI 0.72 to 1.33; p=0.9). Adverse events were minor in both studies. CONCLUSION: Aclidinium is effective and well tolerated in patients with moderate to severe COPD

Proton conductivity versus acidic strength of one-pot synthesized acidic functionalized SBA-15 Mesoporous silica

International audienceThis paper reports the one-pot synthesis and characterization of functionalized mesoporous SBA-15 silica, containing two loadings of different acid groups (-CO2H, -PO(OH)2 and -SO3H). The thermodynamic features of the water confined in these porous silicas is investigated by Differential Scanning Calorimetry (DSC). The results show that the melting behaviour of the confined water is mainly governed by the pore diameter and, as a consequence, indicate that the chemical "decoration" of the porous surface does not play any key role on water thermodynamics in that case. On the contrary, the proton conductivity of the hydrated mesoporous materials, examined in a wide range of temperatures (-100 to 70°C), turns out to be strongly dependent on both the physical state of the confined water and the acidity of the functions located at the porous surface. The proton conductivity is shown to be directly related to the pKa and the density of the functional groups attached to the mesopore surface. The high conductivity values obtained at low temperature when the confined water is frozen, let us think that the -SO3H functionalized SBA-15 investigated here could be promising candidates for electrolyte solids applications in fuel cells

Potassium-mediated stereochemical assistance to form one indenonaphthacene isomer from rubrene with complementary diastereoselectivity to the acid based protocol

Complementary diastereoselectivity for C–H and C–C bond formation, in para disposition, leading to one indenonaphthacene derivative: proton versus potassium assistance.</p