Cycloadditions and annulations of transition metal carbene complexes

The synthetic aspects of several reactions from the multifaceted chemistry of Fischer carbene complexes are examined. Their benzannulation reactions with acetylenes are utilized in the synthesis of anthracyclinones via two approaches which differ by beginning at opposite ends of the molecule with either an aryl or an alkenyl substituted chromium carbene complex. The latter has been employed in a formal synthesis of daunomycinone. The Diels-Alder reactions of ,β-acetylenic chromium carbene complexes provide for a facile entry into substituted cyclohexenyl chromium carbene complexes that are subsequently employed in benzannulation reactions. These tandem cycloaddition/annulation reactions are incorporated into model studies for the synthesis of anthracyclinones and wentilactone A. Their potential is also demonstrated for coupling to yet a third reaction of organochromium compounds ; aromatic nucleophilic substitutions on arene chromium tricarbonyl complexes. The annulations of β,β-disubstituted alkenyl complexes provides for a regio- and stereoselective synthesis of 2,4-cyclohexadienones under neutral conditions at near ambient temperatures.     

M35 oxidation induces Abeta40-like structural and dynamical changes in Abeta42

Oxidizing a single M35 residue of Abeta leads to delayed aggregation and reduced toxicity. To understand the molecular mechanism of this effect, we examined the structural and dynamical consequences of M35 oxidation. We found the mobility of the C-terminal residues of Abeta42 is greatly enhanced upon M35 oxidation. In contrast, methyl groups in the central hydrophobic cluster become less flexible. Taken together, we conclude that Abeta42ox undergoes Abeta40-like structural and dynamical changes, which contribute to its reduced aggregation and toxicity.     

Unambiguous Correlations of Backbone Amide and Aliphatic Gamma Resonances in Deuterated Proteins

Two 3D NMR pulse sequences that correlate aliphatic gamma carbon resonance frequencies to amide proton and nitrogen chemical shifts in perdeuterated proteins are presented. The HN(COCACB)CG provides only interresidue connectivities (NH_(i)and C_γ(i-1)) while the HN(CACB)CG detects both the inter- and intraresidue (NH_(i)and C_γ(i)or C_γ(i−1)) correlations. These two experiments are useful for sequential assignments and the identification of residue type from the C_γshifts. Spectra acquired on a perdeuterated 53-kDa protein illustrate the sensitivity and utility of these experiments.     

Reflection of plane waves from the boundary of a pre-stressed compressible elastic half-space

The effect of pre-stress on the propagation and reflection ofplane waves in an incompressible isotropic elastic half-spacehas been examined recently by the authors (Ogden & Sotiropoulos,1997). In the present paper the corresponding analysis for compressiblematerials is detailed. In the two-dimensional context consideredfor incompressible materials the (homogeneous) plane waves werenecessarily shear waves. By contrast, in the compressible contextpure shear waves can propagate only in specific directions inthe considered principal plane and, in a general direction,a quasi-shear wave may be accompanied by a quasi-longitudinalwave, as is the case in the anisotropic linear theory. The dependenceof the (in-plane) slowness section on the pre-stress (and finitedeformation) and on the choice of constitutive law is elucidated.This information is used to determine the reflection coefficientsfor reflection of either a (quasi-) shear wave or a (quasi-)longitudinal wave from the boundary of the half-space and tocharacterize the different cases which arise depending on thegeometry of the slowness section. The theoretical results are illustrated by numerical calculationsfor the range of possible types of behaviour with referenceforms of strain-energy function and different states of finitedeformation and to the question of stability of the half-space.     

Synthesis, thermal stability and magnetic properties of the Lu1−xLaxMn2O5 solid solution

Polycrystalline samples of the Lu_1−xLa_xMn₂O₅ solid solution system were synthesized under moderate conditions for compositions with x up to 0.815. Due to the large difference in ionic size between Lu³⁺ and La³⁺, significant changes in lattice parameters and severe lattice strains are present in the solid solution. This in turn leads to the composition dependent thermal stability and magnetic properties. It is found that the solid solution samples with x≤0.487 decompose at a single well defined temperature, while those with x≥0.634 decompose over a temperature range with the formation of intermediate phases. For the samples with x≤0.487, the primary magnetic transition occurs below 40 K, similar to LuMn₂O₅ and other individual RMn₂O₅ (R=Bi, Y, and rare earth) compounds. In contrast, a magnetic phase with a 200 K onset transition temperature is dominant in the samples with x≥0.634.     

Mathematics,manifest: a review of Mathematics: the Winton Gallery at the Science Museum

Mathematics: the Winton Gallery strives, like any exhibition concerning mathematics, to make meaningful contact between the abstruse realms of mathematics and the viewing audience. Unlike many other exhibitions, this is here accomplished by displaying a rich range of objects that demonstrate the essential role of mathematics in the world by emphasizing connections to the viewers’ existing cognitive environments. Through a focus on the ways that mathematical work affects and informs our human world, the exhibition succeeds in connecting a mathematical way of thinking with the lives of the viewing public in a complex and profound way, in exchange for their efforts and attention. While an approach which places the interweave of life and mathematics at its centre may invite worries about the representation of pure mathematics or whether such a strategy insulates the viewer from an understanding of ‘real’ mathematics, what this exhibition does is to offer a sense of the mind-set that underscores mathematical work. By revealing the implications of this mode of thought, the exhibition encourages the audience to understand their own lives and world in a more mathematically-oriented way, while also encouraging them to understand mathematics in terms of the ways their human world is already formed.     

Confinement effects on DNA hybridization in electrokinetic micro‐ and nanofluidic systems

Spatial confinement, within cells or micro‐ and nanofabricated devices, impacts the conformation and binding kinetics of biomolecules. Understanding the role of spatial confinement on molecular behavior is important for comprehending diverse biological phenomena, as well as for designing biosensors. Specifically, the behavior of molecular binding under an applied electric field is of importance in the development of electrokinetic biosensors. Here, we investigate whether confinement of DNA oligomers in capillary electrophoresis impacts the binding kinetics of the DNA. To infer the role of confinement on hybridization dynamics, we perform capillary electrophoresis measurements on DNA oligomers within micro‐ and nanochannels, then apply first‐order reaction dynamics theory to extract kinetic parameters from electropherogram data. We find that the apparent dissociation constants at the nanoscale (i.e., within a 100 nm channel) are lower than at the microscale (i.e., within a 1 μm channel), indicating stronger binding with increased confinement. This confirms, for the first time, that confinement‐based enhancement of DNA hybridization persists under application of an electric field.