883 research outputs found

    Expectation values of single-particle operators in the random phase approximation ground state

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    We developed a method for computing matrix elements of single-particle operators in the correlated random phase approximation ground state. Working with the explicit random phase approximation ground state wavefunction, we derived practically useful and simple expression for a molecular property in terms of random phase approximation amplitudes. The theory is illustrated by the calculation of molecular dipole moments for a set of representative molecules.Comment: Accepted to J.Chem.Phy

    A Comparison between the Zero Forcing Number and the Strong Metric Dimension of Graphs

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    The \emph{zero forcing number}, Z(G)Z(G), of a graph GG is the minimum cardinality of a set SS of black vertices (whereas vertices in V(G)SV(G)-S are colored white) such that V(G)V(G) is turned black after finitely many applications of "the color-change rule": a white vertex is converted black if it is the only white neighbor of a black vertex. The \emph{strong metric dimension}, sdim(G)sdim(G), of a graph GG is the minimum among cardinalities of all strong resolving sets: WV(G)W \subseteq V(G) is a \emph{strong resolving set} of GG if for any u,vV(G)u, v \in V(G), there exists an xWx \in W such that either uu lies on an xvx-v geodesic or vv lies on an xux-u geodesic. In this paper, we prove that Z(G)sdim(G)+3r(G)Z(G) \le sdim(G)+3r(G) for a connected graph GG, where r(G)r(G) is the cycle rank of GG. Further, we prove the sharp bound Z(G)sdim(G)Z(G) \leq sdim(G) when GG is a tree or a unicyclic graph, and we characterize trees TT attaining Z(T)=sdim(T)Z(T)=sdim(T). It is easy to see that sdim(T+e)sdim(T)sdim(T+e)-sdim(T) can be arbitrarily large for a tree TT; we prove that sdim(T+e)sdim(T)2sdim(T+e) \ge sdim(T)-2 and show that the bound is sharp.Comment: 8 pages, 5 figure

    Hypoxia modulates cholinergic but not opioid activation of G proteins in rat hippocampus

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    Intermittent hypoxia, such as that associated with obstructive sleep apnea, can cause neuronal death and neurobehavioral dysfunction. The cellular and molecular mechanisms through which hypoxia alter hippocampal function are incompletely understood. This study used in vitro [ 35 S]guanylyl-5′- O -(Γ-thio)-triphosphate ([ 35 S]GTPΓS) autoradiography to test the hypothesis that carbachol and DAMGO activate hippocampal G proteins. In addition, this study tested the hypothesis that in vivo exposure to different oxygen (O 2 ) concentrations causes a differential activation of G proteins in the CA1, CA3, and dentate gyrus (DG) regions of the hippocampus. G protein activation was quantified as nCi/g tissue in CA1, CA3, and DG from rats housed for 14 days under one of three different oxygen conditions: normoxic (21% O 2 ) room air, or hypoxia (10% O 2 ) that was intermittent or sustained. Across all regions of the hippocampus, activation of G proteins by the cholinergic agonist carbachol and the mu opioid agonist [D-Ala 2 , N-Met-Phe 4 , Gly 5 ] enkephalin (DAMGO) was ordered by the degree of hypoxia such that sustained hypoxia > intermittent hypoxia > room air. Carbachol increased G protein activation during sustained hypoxia (38%), intermittent hypoxia (29%), and room air (27%). DAMGO also activated G proteins during sustained hypoxia (52%), intermittent hypoxia (48%), and room air (43%). Region-specific comparisons of G protein activation revealed that the DG showed significantly less activation by carbachol following intermittent hypoxia and sustained hypoxia than the CA1. Considered together, the results suggest the potential for hypoxia to alter hippocampal function by blunting the cholinergic activation of G proteins within the DG. © 2007 Wiley-Liss, Inc.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/57386/1/20312_ftp.pd

    Synthesis of 5 : 6-hydroxy-flavonols - Part III

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    The synthesis of 3 : 5 : 6 : 3': 4'-pentahydroxy-flavone was already reported. The lower members of this group of 5 : 6-hydroxy flavonols with one and no hydroxyl group in the side-phenyl nucleus have now been prepared by Kostanecki's method. The characteristic properties are described

    Conformational flexibility of longifolene

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    The flexibility of the bicyclo[2.2.1]heptane-based tricyclic bridged system in longifolene is analysed based on x-ray structural data. In this context, the molecular structure of three differently substituted longifolenes has been analysed. The highly substituentdependent conformation provides scope for the synthesis of a variety of commercially oriented products

    Second-generation nitazoxanide derivatives: thiazolides are effective inhibitors of the influenza A virus

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    Aim: The only small molecule drugs currently available for treatment of influenza A virus (IAV) are M2 ion channel blockers and sialidase inhibitors. The prototype thiazolide, nitazoxanide, has successfully completed Phase III clinical trials against acute uncomplicated influenza. Results: We report the activity of seventeen thiazolide analogs against A/PuertoRico/8/1934(H1N1), a laboratory-adapted strain of the H1N1 subtype of IAV, in a cell culture-based assay. A total of eight analogs showed IC50s in the range of 0.14–5.0 μM. Additionally a quantitative structure–property relationship study showed high correlation between experimental and predicted activity based on a molecular descriptor set. Conclusion: A range of thiazolides show useful activity against an H1N1 strain of IAV. Further evaluation of these molecules as potential new small molecule therapies is justified

    (2R*,3R*,4aS*,6aR*,11aS*,11bS*)-Methyl 2-acet­oxy-11b-hydr­oxy-3,7-dimethyl-1,2,3,4,4a,5,6,6a,7,11,11a,11b-dodeca­hydro­phenanthro[3,2-b]furan-3-carboxyl­ate

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    In the title compound, C22H30O6, the conformation of the mol­ecule is dictated by an intra­molecular C—H⋯O contact. The crystal structure is stabilized via inter­molecular C—H⋯O, O—H⋯O and C—H⋯π contacts
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