Singular Measures and Information Capacity of Turbulent Cascades.

How weak is the weak turbulence? Here, we analyze turbulence of weakly interacting waves using the tools of information theory. It offers a unique perspective for comparing thermal equilibrium and turbulence. The mutual information between modes is stationary and small in thermal equilibrium, yet it is shown here to grow with time for weak turbulence in a finite box. We trace this growth to the concentration of probability on the resonance surfaces, which can go all the way to a singular measure. The surprising conclusion is that no matter how small is the nonlinearity and how close to Gaussian is the statistics of any single amplitude, a stationary phase-space measure is far from Gaussian, as manifested by a large relative entropy. This is a rare piece of good news for turbulence modeling: the resolved scales carry significant information about the unresolved scales. The mutual information between large and small scales is the information capacity of turbulent cascade, setting the limit on the representation of subgrid scales in turbulence modeling.

Freely Flowing Currents and Electric Field Expulsion in Viscous Electronics.

Electronic fluids bring into hydrodynamics a new setting: equipotential flow sources embedded inside the fluid. Here we show that the nonlocal relation between the current and electric field due to momentum-conserving interparticle collisions leads to a total or partial field expulsion from such flows. That results in freely flowing currents in the bulk and a boundary jump in the electric potential at current-injecting electrodes. We derive a new type of boundary conditions, appropriate for the case. We then analyze current distribution in free flows, discuss how the field expulsion depends upon the geometry of the electrode, and link the phenomenon to the breakdown of conformal invariance.

Towards Catalytic Antibiotics: Redesign of Aminoglycosides To Catalytically Disable Bacterial Ribosomes.

The emergence of multidrug-resistant pathogens that are resistant to the majority of currently available antibiotics is a significant clinical problem. The development of new antibacterial agents and novel approaches is therefore extremely important. We set out to explore the potential of catalytic antibiotics as a new paradigm in antibiotics research. Herein, we describe our pilot study on the design, synthesis, and biological testing of a series of new derivatives of the natural aminoglycoside antibiotic neomycin B for their potential action as catalytic antibiotics. The new derivatives showed significant antibacterial activity against wild-type bacteria and were especially potent against resistant and pathogenic strains including Pseudomonas aeruginosa and methicillin-resistant Staphylococcus aureus. Selected compounds displayed RNase activity even though the activity was not as high and specific as we would have expected. On the basis of the observed chemical and biochemical data, along with the comparative molecular dynamics simulations of the prokaryotic rRNA decoding site, we postulate that the rational design of catalytic antibiotics should involve not only their structure but also a comprehensive analysis of the rRNA A-site dynamics.

Covalently linked kanamycin - Ciprofloxacin hybrid antibiotics as a tool to fight bacterial resistance.

To address the growing problem of antibiotic resistance, a set of 12 hybrid compounds that covalently link fluoroquinolone (ciprofloxacin) and aminoglycoside (kanamycin A) antibiotics were synthesized, and their activity was determined against both Gram-negative and Gram-positive bacteria, including resistant strains. The hybrids were antagonistic relative to the ciprofloxacin, but were substantially more potent than the parent kanamycin against Gram-negative bacteria, and overcame most dominant resistance mechanisms to aminoglycosides. Selected hybrids were 42-640 fold poorer inhibitors of bacterial protein synthesis than the parent kanamycin, while they displayed similar inhibitory activity to that of ciprofloxacin against DNA gyrase and topoisomerase IV enzymes. The hybrids showed significant delay of resistance development in both E. coli and B. subtilis in comparison to that of component drugs alone or their 1:1 mixture. More generally, the data suggest that an antagonistic combination of aminoglycoside-fluoroquinolone hybrids can lead to new compounds that slowdown/prevent the emergence of resistance.

Design of Novel Aminoglycoside Derivatives with Enhanced Suppression of Diseases-Causing Nonsense Mutations.

New pseudotrisaccharide derivatives of aminoglycosides that exploit additional interaction on the shallow groove face of the decoding-site rRNA of eukaryotic ribosome were designed, synthesized and biologically evaluated. Novel lead structures (6 and 7 with an additional 7'-OH), exhibiting enhanced specificity to eukaryotic cytoplasmic ribosome, and superior nonsense mutation suppression activity than those of gentamicin, were discovered. The comparative benefit of new leads was demonstrated in four different nonsense DNA-constructs underling the genetic diseases cystic fibrosis, Usher syndrome, and Hurler syndrome.

A Hybrid Drug Limits Resistance by Evading the Action of the Multiple Antibiotic Resistance Pathway.

Hybrid drugs are a promising strategy to address the growing problem of drug resistance, but the mechanism by which they modulate the evolution of resistance is poorly understood. Integrating high-throughput resistance measurements and genomic sequencing, we compared Escherichia coli populations evolved in a hybrid antibiotic that links ciprofloxacin and neomycin B with populations evolved in combinations of the component drugs. We find that populations evolved in the hybrid gain less resistance than those evolved in an equimolar mixture of the hybrid's components, in part because the hybrid evades resistance mediated by the multiple antibiotic resistance (mar) operon. Furthermore, we find that the ciprofloxacin moiety of the hybrid inhibits bacterial growth whereas the neomycin B moiety diminishes the effectiveness of mar activation. More generally, comparing the phenotypic and genotypic paths to resistance across different drug treatments can pinpoint unique properties of new compounds that limit the emergence of resistance.

Increased selectivity toward cytoplasmic versus mitochondrial ribosome confers improved efficiency of synthetic aminoglycosides in fixing damaged genes: a strategy for treatment of genetic diseases caused by nonsense mutations.

Compelling evidence is now available that gentamicin and Geneticin (G418) can induce the mammalian ribosome to suppress disease-causing nonsense mutations and partially restore the expression of functional proteins. However, toxicity and relative lack of efficacy at subtoxic doses limit the use of gentamicin for suppression therapy. Although G418 exhibits the strongest activity, it is very cytotoxic even at low doses. We describe here the first systematic development of the novel aminoglycoside (S)-11 exhibiting similar in vitro and ex vivo activity to that of G418, while its cell toxicity is significantly lower than those of gentamicin and G418. Using a series of biochemical assays, we provide proof of principle that antibacterial activity and toxicity of aminoglycosides can be dissected from their suppression activity. The data further indicate that the increased specificity toward cytoplasmic ribosome correlates with the increased activity and that the decreased specificity toward mitochondrial ribosome confers the lowered cytotoxicity.

Synthesis, characterization, cytotoxicity, and hydrolytic behavior of C2- and C1-symmetrical Ti(IV) complexes of tetradentate diamine bis(phenolato) ligands: a new class of antitumor agents.

We recently introduced a new class of bis(isopropoxo)-Ti(IV) complexes with diamine bis(phenolato) ligands that possess antitumor activity against colon HT-29 and ovarian OVCAR-1 cells that is higher than that of the known Ti(IV) compounds titanocene dichloride and budotitane as well as that of cisplatin. Herein, we elaborate on this family of compounds; we discuss the effect of structural parameters on the cytotoxic activity and hydrolytic behavior of these complexes, seeking a relationship between the two. Whereas complexes with small steric groups around the metal center possess high activity and lead mostly to formation of O-bridged polynuclear complexes with bound bis(phenolato) ligand upon water addition, bulky complexes hydrolyze to release all free ligands and are inactive. Slightly increasing the size of the N-donor substituents probably weakens the ligand binding in solution, and, thus, rapid hydrolysis is observed, leading to a lack of cytotoxicity, supporting the requirement for ligand inertness. Replacing the two isopropoxo ligands with a single catecholato unit gives a complex with a different geometry that exhibits slower hydrolysis and reduced cytotoxicity, suggesting some participation of labile ligand hydrolysis in the cytotoxicity mechanism. A crystallographically characterized O-bridged polynuclear species obtained from a biologically active bis(isopropoxo) complex upon water addition is inactive, which rules out its participation as the active species, yet suggests some role of the particular steric and electronic requirements allowing its formation in the activity mechanism. Additional measurements support rapid formation of the active species in the presence of cells prior to O-bridged Ti(IV) cluster formation.

Antitumor reactivity of non-metallocene titanium complexes of oxygen-based ligands: is ligand lability essential?

In our attempt to define the parameters affecting anticancer activity of titanium complexes and to assess the role of hydrolytic stability, titanium compounds of oxygen-based ligands were studied. A homoleptic complex of hydroxyamino-1,3,5-triazine ligands was prepared and its hydrolysis was investigated by UV-vis spectroscopy at biologically relevant pH and temperature conditions based on its ligand to metal charge transfer absorption band. This complex exhibits very high hydrolytic stability under the conditions measured with negligible ligand dissociation. Its anticancer reactivity was investigated on ovarian OVCAR-1 and colon HT-29 cells, in comparison with the reference highly labile Ti(OiPr)(4) and TiCl(4)(THF)(2) (where THF is tetrahydrofuran), the inert thermodynamically stable TiO2, and the free aromatic hydroxyamino-1,3,5-triazine ligand. Whereas all reference titanium complexes were found to be completely unreactive against both tumor cell types, suggesting some moderate inertness is required, the homoleptic complex of the triazine ligands clearly possess some mild reactivity despite having no labile groups, and despite its incomplete solubility in the concentrations applied. As the free aromatic ligand is highly active under similar conditions, detailed time-dependence measurements were conducted and indicated that the cytotoxicity of the ligand is more affected by reducing incubation time, and that introducing the titanium complex to the medium prior to cell administration does not increase reactivity at a certain incubation time. These findings suggest that the reactivity of the complex does not result from that of the free ligand following dissociation, but rather involves the titanium center.