Cascading Failures in Spatially-Embedded Random Networks

Cascading failures constitute an important vulnerability of interconnected systems. Here we focus on the study of such failures on networks in which the connectivity of nodes is constrained by geographical distance. Specifically, we use random geometric graphs as representative examples of such spatial networks, and study the properties of cascading failures on them in the presence of distributed flow. The key finding of this study is that the process of cascading failures is non-self-averaging on spatial networks, and thus, aggregate inferences made from analyzing an ensemble of such networks lead to incorrect conclusions when applied to a single network, no matter how large the network is. We demonstrate that this lack of self-averaging disappears with the introduction of a small fraction of long-range links into the network. We simulate the well studied preemptive node removal strategy for cascade mitigation and show that it is largely ineffective in the case of spatial networks. We introduce an altruistic strategy designed to limit the loss of network nodes in the event of a cascade triggering failure and show that it performs better than the preemptive strategy. Finally, we consider a real-world spatial network viz. a European power transmission network and validate that our findings from the study of random geometric graphs are also borne out by simulations of cascading failures on the empirical network.     

NMR studies of the stereospecificity of 20 -hydroxysteroid dehydrogenase

We (3,4) previously observed the reduction of 21-dehydrocorticosteroids in the presence of 20β-hydroxysteroid dehydrogenase proceeded at a faster rate than the reduction of the corresponding corticosteroids. The presence of adjacent carbonyl groups suggested the possibility that the increased rate of reduction of the 20-one,21-a1 steroid analogs resulted from a lack of specificity of the enzyme 20β-hydroxysteroid dehydrogenase for either the aldehyde or ketone group. Nuclear magnetic resonance spectroscopy indicated that the angular methyl groups of the steroid were sensitive probes for the constituents on the basic steroid skeleton. The C₁₈ methyl resonance of 17,21-dihydroxy-4-pregnene-3,20-dione and 17-hydroxy-3,20-dioxo-4-pregnene-21-a1 were 0.722 ppm and 0.728 ppm respectively. The magnitude and sign of the change in chemical shift of the C₁₈ methyl resonance for the enzymatic products of 17,21-dihydroxy-4-pregnene-3,20-dione and 17-hydroxy-3,20-dioxo-4-pregnene-21-a1 (+0.135 ppm and +0.144 ppm respectively) were consistent with a stereochemical assignment of 20β-hydroxyl.     

In vivo determination of Neisseria meningitidis serogroup A capsular polysaccharide by whole cell high-resolution magic angle spinning NMR spectroscopy

High resolution-magic angle spinning (HRMAS) NMR spectroscopy was applied to serogroup A Neisseria meningitidis (NMA) to determine precise structures of capsular polysaccharide (CPS) expressed on the meningococcal surface. Both the O-acetylated (OAc) NMA parent and a mynC::aphA3 OAc- mutant demonstrated characteristic CPS-derived NMR signals indicating cell-surface expression of CPS, but only the parent expressed O-3 and O-4 acetylation signals. A capsule-defective strain showed no NMR signals for CPS. The (1)H NMR HRMAS spectral patterns correlated with the purified CPS (1)H NMR profiles. HRMAS NMR can distinguish detailed complex carbohydrate structures expressed on bacteria. NMA express both O-3 and O-4 acetylated polymers but not in equimolar ratio amounts in vivo.     

d-Glucose- and d-mannose-based antimetabolites. Part 2. Facile synthesis of 2-deoxy-2-halo-d-glucoses and -d-mannoses

Modified d-glucose and d-mannose analogs are potentially clinically useful metabolic inhibitors. Biological evaluation of 2-deoxy-2-halo analogs has been impaired by limited availability and lack of efficient methods for their preparation. We have developed practical synthetic approaches to 2-deoxy-2-fluoro-, 2-chloro-2-deoxy-, 2-bromo-2-deoxy-, and 2-deoxy-2-iodo derivatives of d-glucose and d-mannose that exploit electrophilic addition reactions to a commercially available 3,4,6-tri-O-acetyl-d-glucal.     

Interactions of the Escherichia coli Primosomal PriB Protein with the Single-stranded DNA. Stoichiometries, Intrinsic Affinities, Cooperativities, and Base Specificities

Quantitative analysis of the interactions of the Escherichia coli primosomal PriB protein with a single-stranded DNA was done using quantitative fluorescence titration, photocrosslinking, and analytical ultracentrifugation techniques. Stoichiometry studies were done with a series of etheno-derivatives of single-stranded (ss) DNA oligomers. Interactions with the unmodified nucleic acids were studied, using the macromolecular competition titration (MCT) method. The total site-size of the PriB dimer-ssDNA complex, i.e. the maximum number of nucleotides occluded by the PriB dimer in the complex, is 12 ± 1 nt. The protein has a single DNA-binding site, which is located centrally within the dimer and has a functionally homogeneous structure. The stoichiometry and photocrosslinking data show that only a single monomer of the PriB dimer engages in interactions with the nucleic acid. The analysis of the PriB binding to long oligomers was done using a statistical thermodynamic model that takes into account the overlap of potential binding sites and cooperative interactions. The PriB dimer binds the ssDNA with strong positive cooperativity. Both the intrinsic affinity and cooperative interactions are accompanied by a net ion release, with anions participating in the ion exchange process. The intrinsic binding process is an entropy-driven reaction, suggesting strongly that the DNA association induces a large conformational change in the protein. The PriB protein shows a dramatically strong preference for the homo-pyrimidine oligomers with an intrinsic affinity higher by about three orders of magnitude, as compared to the homo-purine oligomers. The significance of these results for PriB protein activity is discussed.     

Structural rearrangements of the 10-23 DNAzyme to beta 3 integrin subunit mRNA induced by cations and their relations to the catalytic activity

The intracellular ability of the "10-23" DNAzyme to efficiently inhibit expression of targeted proteins has been evidenced by in vitro and in vivo studies. However, standard conditions for kinetic measurements of the DNAzyme catalytic activity in vitro include 25 mM Mg2+, a concentration that is very unlikely to be achieved intracellularly. To study this discrepancy, we analyzed the folding transitions of the 10-23 DNAzyme induced by Mg2+. For this purpose, spectroscopic analyzes such as fluorescence resonance energy transfer, fluorescence anisotropy, circular dichroism, and surface plasmon resonance measurements were performed. The global geometry of the DNAzyme in the absence of added Mg2+ seems to be essentially extended, has no catalytic activity, and shows a very low binding affinity to its RNA substrate. The folding of the DNAzyme induced by binding of Mg2+ may occur in several distinct stages. The first stage, observed at 0.5 mM Mg2+, corresponds to the formation of a compact structure with limited binding properties and without catalytic activity. Then, at 5 mM Mg2+, flanking arms are projected at right position and angles to bind RNA. In such a state, DNAzyme shows substantial binding to its substrate and significant catalytic activity. Finally, the transition occurring at 15 mM Mg2+ leads to the formation of the catalytic domain, and DNAzyme shows high binding affinity toward substrate and efficient catalytic activity. Under conditions simulating intracellular conditions, the DNAzyme was only partially folded, did not bind to its substrate, and showed only residual catalytic activity, suggesting that it may be inactive in the transfected cells and behave like antisense oligodeoxynucleotide.     

Partial molar volumes of mRNA 5' cap analogues

Partial molar volumes in aqueous solution of eleven selected 7-methylguanine cap-analogues and their guanine counterparts were determined by means of density measurements. Hydrophobicity of the investigated compounds regarding their structural features was analysed within the framework of the solute-solvent interaction model, based on the relative density of the molecular solvation shell.     

The structures of the lipooligosaccharide and capsule polysaccharide of Campylobacter jejuni genome sequenced strain NCTC 11168.

Campylobacter jejuni infections are one of the leading causes of human gastroenteritis and are suspected of being a precursor to Guillain-Barré and Miller-Fisher syndromes. Recently, the complete genome sequence of C. jejuni NCTC 11168 was described. In this study, the molecular structure of the lipooligosaccharide and capsular polysaccharide of C. jejuni NCTC 11168 was investigated. The lipooligosaccharide was shown to exhibit carbohydrate structures analogous to the GM1a and GM2 carbohydrate epitopes of human gangliosides (shown below): The high Mr capsule polysaccharide was composed of beta-d-Ribp, beta-d-GalfNAc, alpha-d-GlcpA6(NGro), a uronic acid amidated with 2-amino-2-deoxyglycerol at C-6, and 6-O-methyl-d-glycero-alpha-l-gluco-heptopyranose as a side-branch (shown below): The structural information presented here will aid in the identification and characterization of specific enzymes that are involved in the biosynthesis of these structures and may lead to the discovery of potential therapeutic targets. In addition, the correlation of carbohydrate structure with gene complement will aid in the elucidation of the role of these surface carbohydrates in C. jejuni pathogenesis.