18 resultados para curva ellittica cubica liscia Nagell-Lutz Mordell legge di gruppo punti razionali


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In this paper we study n-dimensional complete spacelike submanifolds with constant normalized scalar curvature immersed in semi-Riemannian space forms. By extending Cheng-Yau`s technique to these ambients, we obtain results to such submanifolds satisfying certain conditions on both the squared norm of the second fundamental form and the mean curvature. We also characterize compact non-negatively curved submanifolds in De Sitter space of index p.

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The fractionation through bioguided antileishmanial activity of the dichloromethane extract of Cassia fistula fruits (Leguminosae) led to the isolation of the active isoflavone biochanin A, identified by spectroscopic methods. This compound showed 50% effective concentration (EC(50)) value of 18.96 mu g/mL against promastigotes of Leishmania (L.) chagasi. The cytotoxicity of this substance against peritoneal macrophages resulted in an EC(50) value of 42.58 mu g/mL. Additionally, biochanin A presented an anti-Trypanosoma-cruzi activity, resulting in an EC(50) value of 18.32 mu g/mL and a 2.4-fold more effectiveness than benznidazole. These results contribute with novel antiprotozoal compounds for future drug design studies.

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In the present investigation, we have evaluated the antileishmanial and antitrypanosomal activity of methanolic crude extracts obtained from eight species of cnidarians and of a modified steroid isolated from the octocoral Carijoa riisei. The antileishmanial activity of cnidarians crude extracts showed 50% inhibitory concentration ( IC50) values in the concentration range between 2.8 and 93.3 mu g/mL. Trypomastigotes of Trypanosoma cruzi were less susceptible to the crude extracts, with IC50 values in the concentration range between 40.9 and 117.9 mu g/mL. The steroid (18-acetoxipregna-1,4,20-trien-3-one) displayed a strong antileishmanial activity, with an IC50 value of 5.5 mu g/mL against promastigotes and 16.88 mu g/mL against intracellular amastigotes. The steroid also displayed mammalian cytotoxicity (IC50 of 10.6 mu g/mL), but no hemolytic activity was observed at the highest concentration of 12.5 mu g/mL. The antileishmanial effect of the steroid in macrophages suggested other mechanism than macrophage activation, as no upregulation of nitric oxide was observed. The antitrypanosomal activity of the steroid resulted in an IC50 value of 50.5 mu g/mL. These results indicate the potential of cnidarian natural compounds as antileishmanial drug candidates.