Partial Transmutation of Singularities in Optical Instruments

Some interesting optical instruments such as the Eaton lens and the Invisible Sphere require singularities of the refractive index for their implementation. We show how to transmute those singularities into harmless topological defects in anisotropic media without the need for anomalous material properties

Cloaking and imaging at the same time

In this letter, we propose a conceptual device to perform subwavelength imaging with positive refraction. The key to this proposal is that a drain is no longer a must for some cases. What's more, this device is an isotropic omnidirectional cloak with a perfect electric conductor hiding region and shows versatile illusion optical effects. Numerical simulations are performed to verify the functionalities.Comment: 15 pages, 4 figure

Penetratin and Derivatives Acting as Antibacterial Agents

The synthesis, in vitro evaluation and conformational study of penetratin and structurally related derivatives acting as antibacterial agents are reported. Among the compounds evaluated here, two methionine sulphoxide derivatives (RQIKIWFQNRRM[O]KWKK-NH2 and RQIKIFFQNRRM[O]KFKK-NH2) exhibited the strongest antibacterial effect in this series. In order to better understand the antimicrobial activity obtained for these peptides, we performed an exhaustive conformational analysis using different approaches. Molecular dynamics simulations were performed using two different media (water and trifluoroethanol/water). The results of these theoretical calculations were corroborated using experimental CD measurements. The electronic study for these peptides was carried out using molecular electrostatic potentials obtained from RHF/6-31G(d) calculations. In addition, the non-apeptide RQIRRWWQR-NH2 showed strong inhibitory action against the Gram-negative and Gram-positive bacteria tested in this study

Multidimensional NMR identifies the conformational shift essential for catalytic competence in the 60-kDa Drosophila melanogaster dUTPase trimer

The catalytic mechanism of dUTP pyrophosphatase (dUTPase), responsible for the prevention of uracil incorporation into DNA, involves ordering of the flexible C terminus of the enzyme. This conformational shift is investigated by multidimensional NMR on the Drosophila enzyme. Flexible segments of the homotrimer give rise to sharp resonances in the H-1-N-15 heteronuclear single-quantum coherence (HSQC) spectra, which are clearly distinguishable from the background resonances of the well folded protein globule. Binding of the product dUMP or the analogues dUDP and alpha,beta-imino-dUTP to the enzyme induces a conformational change reflected in the disappearance of eight sharp resonances. This phenomenon is interpreted as nucleotide binding-induced ordering of some residues upon the folded protein globule. Three-dimensional N-15-edited H-1-N-15 HSQC total correlation spectroscopy (TOCSY) and H-1-N-15 HSQC nuclear Overhauser effect spectroscopy measurements allowed clear assignment of these eight specific resonance peaks. The residues identified correspond to the conserved C-terminal sequence motif, indicating that (i) this conformational shift is amenable to NMR studies in solution even in the large trimeric molecule and (ii) formation of the closed enzyme conformer in the case of the Drosophila enzyme does not require the complete triphosphate chain of the substrate. NMR titration of the enzyme with the nucleotide ligands as well as kinetic data indicated significant deviation from the model of independent active sites within the homotrimer. The results suggest allosterism in the eukaryotic dUTPase

Foldamers of β-peptides : conformational preference of peptides formed by rigid building blocks : The first MI-IR spectra of a triamide nanosystem

To determine local chirality driven conformational preferences of small aminocyclobutane-1-carboxylic acid derivatives, X-(ACBA) n -Y, their matrix-isolation IR spectra were recorded and analyzed. For the very first time model systems of this kind were deposited in a frozen (~10 K) noble gas matrix to reduce line width and thus, the recorded sharp vibrational lines were analyzed in details. For cis-(S,R)-1 monomer two “zigzag” conformers composed of either a six or an eight-membered H-bonded pseudo ring was identified. For trans-(S,S)-2 stereoisomer a zigzag of an eight-membered pseudo ring and a helical building unit were determined. Both findings are fully consistent with our computational results, even though the relative conformational ratios were found to vary with respect to measurements. For the dimers (S,R,S,S)-3 and (S,S,S,R)-4 as many as four different cis,trans and three different trans,cis conformers were localized in their matrix-isolation IR (MI-IR) spectra. These foldamers not only agree with the previous computational and NMR results, but also unambiguously show for the first time the presence of a structure made of a cis,trans conformer which links a “zigzag” and a helical foldamer via a bifurcated H-bond. The present work underlines the importance of MI-IR spectroscopy, applied for the first time for triamides to analyze the conformational pool of small biomolecules. We have shown that the local chirality of a β-amino acid can fully control its backbone folding preferences. Unlike proteogenic α-peptides, β- and especially (ACBA) n type oligopeptides could thus be used to rationally design and influence foldamer’s structural preferences

A mathematical and computational review of Hartree-Fock SCF methods in Quantum Chemistry

We present here a review of the fundamental topics of Hartree-Fock theory in Quantum Chemistry. From the molecular Hamiltonian, using and discussing the Born-Oppenheimer approximation, we arrive to the Hartree and Hartree-Fock equations for the electronic problem. Special emphasis is placed in the most relevant mathematical aspects of the theoretical derivation of the final equations, as well as in the results regarding the existence and uniqueness of their solutions. All Hartree-Fock versions with different spin restrictions are systematically extracted from the general case, thus providing a unifying framework. Then, the discretization of the one-electron orbitals space is reviewed and the Roothaan-Hall formalism introduced. This leads to a exposition of the basic underlying concepts related to the construction and selection of Gaussian basis sets, focusing in algorithmic efficiency issues. Finally, we close the review with a section in which the most relevant modern developments (specially those related to the design of linear-scaling methods) are commented and linked to the issues discussed. The whole work is intentionally introductory and rather self-contained, so that it may be useful for non experts that aim to use quantum chemical methods in interdisciplinary applications. Moreover, much material that is found scattered in the literature has been put together here to facilitate comprehension and to serve as a handy reference.Comment: 64 pages, 3 figures, tMPH2e.cls style file, doublesp, mathbbol and subeqn package

The mechanism of the reverse recovery-step, phosphate release, and actin activation of Dictyostelium myosin II.

The rate-limiting step of the myosin basal ATPase (i.e. in absence of actin) is assumed to be a post-hydrolysis swinging of the lever arm (reverse recovery step), that limits the subsequent rapid product release steps. However, direct experimental evidence for this assignment is lacking. To investigate the binding and the release of ADP and phosphate independently from the lever arm motion, two single tryptophan-containing motor domains of Dictyostelium myosin II were used. The single tryptophans of the W129+ and W501+ constructs are located at the entrance of the nucleotide binding pocket and near the lever arm, respectively. Kinetic experiments show that the rate-limiting step in the basal ATPase cycle is indeed the reverse recovery step, which is a slow equilibrium step (k(forward) = 0.05 s(-1), k(reverse) = 0.15 s(-1)) that precedes the phosphate release step. Actin directly activates the reverse recovery step, which becomes practically irreversible in the actin-bound form, triggering the power stroke. Even at low actin concentrations the power stroke occurs in the actin-attached states despite the low actin affinity of myosin in the pre-power stroke conformation

Determining the molecular basis for the pH-dependent interaction between the link module of human TSG-6 and hyaluronan

TSG-6 is an inflammation-associated hyaluronan (HA)-binding protein that has anti-inflammatory and protective functions in arthritis and asthma as well as a critical role in mammalian ovulation. The interaction between TSG-6 and HA is pH-dependent, with a marked reduction in affinity on increasing the pH from 6.0 to 8.0. Here we have investigated the mechanism underlying this pH dependence using a combined approach of site-directed mutagenesis, NMR, isothermal titration calorimetry and microtiter plate assays. Analysis of single-site mutants of the TSG-6 Link module indicated that the loss in affinity above pH 6.0 is mediated by the change in ionization state of a histidine residue (His(4)) that is not within the HA-binding site. To understand this in molecular terms, the pH-dependent folding profile and the pK(a) values of charged residues within the Link module were determined using NMR. These data indicated that His(4) makes a salt bridge to one side-chain oxygen atom of a buried aspartate residue (Asp(89)), whereas the other oxygen is simultaneously hydrogen-bonded to a key HA-binding residue (Tyr(12)). This molecular network transmits the change in ionization state of His(4) to the HA-binding site, which explains the loss of affinity at high pH. In contrast, simulations of the pH affinity curves indicate that another histidine residue, His(45), is largely responsible for the gain in affinity for HA between pH 3.5 and 6.0. The pH-dependent interaction of TSG-6 with HA (and other ligands) provides a means of differentially regulating the functional activity of this protein in different tissue microenvironments

The structure of the complex of calmodulin with KAR-2: a novel mode of binding explains the unique pharmacology of the drug

3'-(beta- Chloroethyl)-2',4'-dioxo-3,5'-spiro-oxazolidino-4-deacetoxyvinblastine (KAR-2) is a potent anti-microtubular agent that arrests mitosis in cancer cells without significant toxic side effects. In this study we demonstrate that in addition to targeting microtubules, KAR-2 also binds calmodulin, thereby countering the antagonistic effects of trifluoperazine. To determine the basis of both properties of KAR-2, the three-dimensional structure of its complex with Ca2+-calmodulin has been characterized both in solution using NMR and when crystallized using x-ray diffraction. Heterocorrelation (H-1-N-15 heteronuclear single quantum coherence) spectra of N-15-labeled calmodulin indicate a global conformation change (closure) of the protein upon its binding to KAR-2. The crystal structure at 2.12-Angstrom resolution reveals a more complete picture; KAR-2 binds to a novel structure created by amino acid residues of both the N- and C- terminal domains of calmodulin. Although first detected by x-ray diffraction of the crystallized ternary complex, this conformational change is consistent with its solution structure as characterized by NMR spectroscopy. It is noteworthy that a similar tertiary complex forms when calmodulin binds KAR-2 as when it binds trifluoperazine, even though the two ligands contact (for the most part) different amino acid residues. These observations explain the specificity of KAR-2 as an anti-microtubular agent; the drug interacts with a novel drug binding domain on calmodulin. Consequently, KAR-2 does not prevent calmodulin from binding most of its physiological targets