Accumulation of complex eigenvalues of an indefinite Sturm--Liouville operator with a shifted Coulomb potential

For a particular family of long-range potentials V, we prove that the eigenvalues of the indefinite Sturm–Liouville operator A = sign(x)(−Δ+V(x)) accumulate to zero asymptotically along specific curves in the complex plane. Additionally, we relate the asymptotics of complex eigenvalues to the two-term asymptotics of the eigenvalues of associated self-adjoint operators.

Double-Blind clinical study of a multivitamin and polymineral complex associated with Panax ginseng (Gerovital)

The present study aimed to evaluate the efficacy of a multivitamin and poly minerals supplemented with Panax ginseng extract (Gerovital®) on patients suffering from common physical or mental stress. The study design was controlled, parallel and double blind. Patients were randomly divided in two groups and underwent a thorough clinical and laboratory examination. Group A received placebo capsules and group B received Gerovital® capsules. In both cases, two capsules were taken daily during meals for eight weeks. Mood as well as physical activity were evaluated through a questionnaire assessing quality of life. From the 126 patients enrolled, 12 patients (8 in group A and 4 in group B) were excluded due to voluntary withdrawal, 55 patients completed the study in group A and 59 in group B. The treatment with Gerovital® significantly increased the quality of life when compared to placebo. After 15 days of study no difference between groups was observed. However, at 30th, 45th and 60th day, group B showed a statistically significant increase in average score from 30.05 to 41.96, 47.01 and finally 50.81 points. No increase in body weight was detected in either group. No difference in blood pressure or heart rate was also observed between treatments. The present study has shown that the daily use of Gerovital® over a 2-month period can be effective in improving quality of life in patients suffering from physical and mental stress among individuals of different ages, ranging from adults to elderly. Moreover, its use has been associated to a lower incidence of flu-like seasonal respiratory illnesses. Finally, the incidence of undesired effects was similar to placebo.

Contributions of distinct quaternary contacts to cooperative operator binding by Mnt repressor

Mnt, a tetrameric repressor encoded by bacteriophage P22, uses N-domain dimers to contact each half of its operator site. Experiments with a double mutant and structural homology with the P22 Arc repressor suggest that contacts made by Arg-28 and stabilized by Glu-33 are largely responsible for dimer–dimer cooperativity in Mnt. These dimer–dimer contacts are energetically more important for operator binding than solution tetramerization, which is mediated by an independent C-terminal coiled-coil domain. Indeed, once one dimer of the Mnt tetramer contacts an operator half site, binding of the second dimer occurs with an effective concentration much lower than that expected if both dimers were flexibly tethered. These results suggest that binding of the second dimer introduces some strain into the protein–DNA complex, a mechanism that could serve to limit the affinity of operator binding and to prevent strong binding of the Mnt tetramer to nonoperator sites.

Biosynthesis of major histocompatibility complex molecules and generation of T cells in Ii TAP1 double-mutant mice.

Major histocompatibility complex (MHC) class I and II molecules are loaded with peptides in distinct subcellular compartments. The transporter associated with antigen processing (TAP) is responsible for delivering peptides derived from cytosolic proteins to the endoplasmic reticulum, where they bind to class I molecules, while the invariant chain (Ii) directs class II molecules to endosomal compartments, where they bind peptides originating mostly from exogenous sources. Mice carrying null mutations of the TAP1 or Ii genes (TAP10) or Ii0, respectively) have been useful tools for elucidating the two MHC/peptide loading pathways. To evaluate to what extent these pathways functionally intersect, we have studied the biosynthesis of MHC molecules and the generation of T cells in Ii0TAP10 double-mutant mice. We find that the assembly and expression of class II molecules in Ii0 and Ii0TAP10 animals are indistinguishable and that formation and display of class I molecules is the same in TAP10 and Ii0TAP10 animals. Thymic selection in the double mutants is as expected, with reduced numbers of both CD4+ CD8- and CD4- CD8+ thymocyte compartments. Surprisingly, lymph node T-cell populations look almost normal; we propose that population expansion of peripheral T cells normalizes the numbers of CD4+ and CD8+ cells in Ii0TAP10 mice.

Complex formation in yeast double-strand break repair: participation of Rad51, Rad52, Rad55, and Rad57 proteins.

The repair of DNA double-strand breaks in Saccharomyces cerevisiae requires genes of the RAD52 epistasis group, of which RAD55 and RAD57 are members. Here, we show that the x-ray sensitivity of rad55 and rad57 mutant strains is suppressible by overexpression of RAD51 or RAD52. Virtually complete suppression is provided by the simultaneous overexpression of RAD51 and RAD52. This suppression occurs at 23 degrees C, where these mutants are more sensitive to x-rays, as well as at 30 degrees C and 36 degrees C. In addition, a recombination defect of rad55 and rad57 mutants is similarly suppressed. Direct in vivo interactions between the Rad51 and Rad55 proteins, and between Rad55 and Rad57, have also been identified by using the two-hybrid system. These results indicate that these four proteins constitute part of a complex, a "recombinosome," to effect the recombinational repair of double-strand breaks.

Evolution of single and double Wolbachia symbioses during speciation in the Drosophila simulans complex.

Maternally inherited bacteria of the genus Wolbachia are responsible for the early death of embryos in crosses between uninfected females and infected males in several insect species. This phenomenon, known as cytoplasmic incompatibility, also occurs between strains infected by different symbionts in some species, including Drosophila simulans. Wolbachia was found in two species closely related to D. simulans, Drosophila mauritiana, and Drosophila sechellia, and shown to cause incompatibility in the latter species but not in D. mauritiana. Comparison of bacterial and mtDNA history clarifies the origins of bacterial and incompatibility polymorphisms in D. simulans. Infection in D. mauritiana is probably the result of introgression of an infected D. simulans cytoplasm. Some D. simulans and D. sechellia cytoplasmic lineages harbor two bacteria as a consequence of a double infection which probably occurred in a common ancestor. The descendant symbionts in each species are associated with similar incompatibility relationships, which suggests that little variation of incompatibility types has occurred within maternal lineages beyond that related to the density of symbionts in their hosts.

Tables of complex hyperbolic and circular functions,

Bibliography: p. 209-212.

The Mre11 complex and ATM: a two-way functional interaction in recognising and signaling DNA double strand breaks

Mutations in components of the Mre 11/Rad50/Nbs1 complex give rise to genetic disorders characterized by neurological abnormalities, radiosensitivity, cell cycle checkpoint defects, genomic instability and cancer predisposition. Evidence exists that this complex associates with chromatin during DNA replication and acts as a sensor of double strand breaks (dsbs) in DNA after exposure to radiation. A series of recent reports provides additional support that the complex senses breaks in DNA and relays this information to ATM, mutated in ataxia-telangiectasia (A-T), which in turn activates pathways for cell cycle checkpoint activation. Paradoxically members of the Mre11 complex are also downstream of ATM in these pathways. Here, Lavin attempts to make sense of this sensing mechanism with reference to a series of recent reports on the topic. (C) 2004 Elsevier B.V. All rights reserved.

Efficient 1,4-addition of enones and boronic acids catalyzed by a Ni-Zn hydroxyl double salt-intercalated anionic rhodium(III) complex

Intercalation of an in situ prepared [Rh(OH)6]3- complex into an anion exchangeable Ni-Zn layered hydroxy double salt (Rh/NiZn) was demonstrated. The resulting Rh/NiZn effectively catalyzed the 1,4-addition of diverse enones and phenylboronic acids to their corresponding β-substituted carbonyl compounds. In the case of 2-cyclohexen-1-one and phenylboronic acid, a turnover frequency (TOF) of 920 h-1 based on Rh was achieved. The [Rh(OH)6]3- complex maintained its original monomeric trivalent state within the NiZn interlayer following catalysis, attributable to a strong electrostatic interaction between the NiZn host and anionic Rh(III) complex.

Sobolev-Morrey Type Inequality for Riesz Potentials, Associated with the Laplace-Bessel Differential Operator

2000 Mathematics Subject Classification: 42B20, 42B25, 42B35

The Stein-Weiss Type Inequality for Fractional Integrals, Associated with the Laplace-Bessel Differential Operator

2000 Math. Subject Classification: Primary 42B20, 42B25, 42B35