Asymptotic properties of the solutions of a differential equation appearing in QCD

We establish the asymptotic behaviour of the ratio $h^\prime(0)/h(0)$ for $\lambda\rightarrow\infty$, where $h(r)$ is a solution, vanishing at infinity, of the differential equation $h^{\prime\prime}(r) = i\lambda \omega (r) h(r)$ on the domain $0 \leq r <\infty$ and $\omega (r) = (1-\sqrt{r} K_1(\sqrt{r}))/r$. Some results are valid for more general $\omega$'s.Comment: 6 pages, late

Generalization of the Calogero-Cohn Bound on the Number of Bound States

It is shown that for the Calogero-Cohn type upper bounds on the number of bound states of a negative spherically symmetric potential $V(r)$, in each angular momentum state, that is, bounds containing only the integral $\int^\infty_0 |V(r)|^{1/2}dr$, the condition $V'(r) \geq 0$ is not necessary, and can be replaced by the less stringent condition $(d/dr)[r^{1-2p}(-V)^{1-p}] \leq 0, 1/2 \leq p < 1$, which allows oscillations in the potential. The constants in the bounds are accordingly modified, depend on $p$ and $\ell$, and tend to the standard value for $p = 1/2$.Comment: 1 page. Correctly formatted version (replaces previous version

Control of metallation and active cofactor assembly in the class Ia and Ib ribonucleotide reductases: diiron or dimanganese?

Ribonucleotide reductases (RNRs) convert nucleotides to deoxynucleotides in all organisms. Activity of the class Ia and Ib RNRs requires a stable tyrosyl radical (Y•), which can be generated by the reaction of O[subscript 2] with a diferrous cluster on the β subunit to form active diferric-Y• cofactor. Recent experiments have demonstrated, however, that in vivo the class Ib RNR contains an active dimanganese(III)-Y• cofactor. The similar metal binding sites of the class Ia and Ib RNRs, their ability to bind both Mn[superscript II] and Fe[superscript II], and the activity of the class Ib RNR with both diferric-Y• and dimanganese(III)-Y• cofactors raise the intriguing question of how the cell prevents mismetallation of these essential enzymes. The presence of the class Ib RNR in numerous pathogenic bacteria also highlights the importance of manganese for these organisms’ growth and virulence

Redox-Linked Changes to the Hydrogen-Bonding Network of Ribonucleotide Reductase β2

Ribonucleotide reductase (RNR) catalyzes conversion of nucleoside diphosphates (NDPs) to 2′-deoxynucleotides, a critical step in DNA replication and repair in all organisms. Class-Ia RNRs, found in aerobic bacteria and all eukaryotes, are a complex of two subunits: α2 and β2. The β2 subunit contains an essential diferric–tyrosyl radical (Y122O•) cofactor that is needed to initiate reduction of NDPs in the α2 subunit. In this work, we investigated the Y122O• reduction mechanism in Escherichia coli β2 by hydroxyurea (HU), a radical scavenger and cancer therapeutic agent. We tested the hypothesis that Y122OH redox reactions cause structural changes in the diferric cluster. Reduction of Y122O• was studied using reaction-induced FT-IR spectroscopy and [[superscript 13]C]aspartate-labeled β2. These Y122O• minus Y122OH difference spectra provide evidence that the Y122OH redox reaction is associated with a frequency change to the asymmetric vibration of D84, a unidentate ligand to the diferric cluster. The results are consistent with a redox-induced shift in H-bonding between Y122OH and D84 that may regulate proton-transfer reactions on the HU-mediated inactivation pathway in isolated β2.National Institutes of Health (U.S.) (Grant GM29595

Beaver Research in the Uvs Nuur Region

In 1985, 1988, and 2002 Castor fiber birulai was introduced to the Tes Gol of the Uvs Nuur basin in North-western Mongolia. The beavers migrated through the Republic of Tyva and settled in the middle part of Tes Gol near the Tyvinian-Mongolian border. About 10 colonies were recorded in this region in 2002. Strict protection of Castor fiber birulai has to be ensured in Mongolia and the Republic of Tyva in future

Instability and stability properties of traveling waves for the double dispersion equation

In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation $~u_{tt} -u_{xx}+a u_{xxxx}-bu_{xxtt} = - (|u|^{p-1}u)_{xx}~$ for $~p>1$, $~a\geq b>0$. The main characteristic of this equation is the existence of two sources of dispersion, characterized by the terms $u_{xxxx}$ and $u_{xxtt}$. We obtain an explicit condition in terms of $a$, $b$ and $p$ on wave velocities ensuring that traveling wave solutions of the double dispersion equation are strongly unstable by blow up. In the special case of the Boussinesq equation ($b=0$), our condition reduces to the one given in the literature. For the double dispersion equation, we also investigate orbital stability of traveling waves by considering the convexity of a scalar function. We provide both analytical and numerical results on the variation of the stability region of wave velocities with $a$, $b$ and $p$ and then state explicitly the conditions under which the traveling waves are orbitally stable.Comment: 16 pages, 4 figure

Photochemical Generation of a Tryptophan Radical within the Subunit Interface of Ribonucleotide Reductase

United States. National Institutes of Health (GM029595

The class III ribonucleotide reductase from Neisseria bacilliformis can utilize thioredoxin as a reductant

The class III anaerobic ribonucleotide reductases (RNRs) studied to date couple the reduction of ribonucleotides to deoxynucleotides with the oxidation of formate to CO[subscript 2]. Here we report the cloning and heterologous expression of the Neisseria bacilliformis class III RNR and show that it can catalyze nucleotide reduction using the ubiquitous thioredoxin/thioredoxin reductase/NADPH system. We present a structural model based on a crystal structure of the homologous Thermotoga maritima class III RNR, showing its architecture and the position of conserved residues in the active site. Phylogenetic studies suggest that this form of class III RNR is present in bacteria and archaea that carry out diverse types of anaerobic metabolism.Singapore. Agency for Science, Technology and ResearchNational Science Foundation (U.S.). Graduate Research Fellowship Program (Grant 0645960)United States. Dept. of Energy. Office of Basic Energy Sciences (Contract DE-AC02-06CH11357)National Institutes of Health (U.S.) (Grant GM29595