An age-structured model for the spread of epidemic cholera: Analysis and simulation

Occasional outbreaks of cholera epidemics across the world demonstrate that the disease continues to pose a public health threat. Traditional models for the spread of infectious diseases are based on systems of ordinary differential equations. Since disease dynamics such as vaccine efficacy and the risk for contracting cholera depend on the age of the humans, an age-structured model offers additional insights and the possibility of studying the effects of treatment options. The model investigated is given as a system of hyperbolic (first-order) partial differential equations in combination with ordinary differential equations. First, using a representation from the method of characteristics and a fixed point argument, we prove the existence and uniqueness of a solution to our nonlinear system. Then we present a finite difference approximation to the model and study the effect of high and low rates of shedding of cholera vibrios on the dynamics of the spread of the disease. The simulations demonstrate the explosive nature of cholera outbreaks that is observed in reality. The contrast of results for high and low rates of shedding of vibrios suggest a possible underlying cause for this effect.     

Observation of uncorrelated microscopic motion in a strongly interacting adsorbate system

Modeling of intermolecular forces is a central theme in the physical sciences. The prototypical heterogeneous catalysis system, CO/Pt(111), is an extensively studied example where strong pairwise repulsive forces between the CO molecules have been used to explain the observed structure and dynamics. No direct measurements of these forces were available; yet, they offered a natural way of explaining various macroscopic observations assuming a separable adsorbate-substrate interaction and pairwise adsorbate-adsorbate interactions. In the present study, we measure intermolecular forces by following CO motion on a microscopic scale. The uncorrelated dynamics we observe throughout the coverage range of the measurements excludes the existence of the strong pairwise forces previously suggested. The increase in the rate of uncorrelated motion is explained by a nonlocal modification of the adsorbate-substrate interaction, reflecting a many-body system that cannot be described by the standard separable interaction approach.     

Thin chitosan films as a platform for SPR sensing of ferric ions

Homogeneous chitosan films of various thicknesses (10-65 nm) were deposited on thin gold films through spin coating. The resulting interfaces were characterized using surface plasmon resonance (SPR), AFM, profilometry and cyclic voltammetry. The strong chelating properties of chitosan films to Fe(3+) were investigated using cyclic voltammetry. Through SPR measurements, an affinity constant between chitosan and Fe(3+) of 9.49 x 10(5) M(-1) was determined with a detection limit as low as 250 ppb.     

Computational comparison of the stacking interactions between the aromatic amino acids and the natural or (cationic) methylated nucleobases

The strongest gas-phase MP2/6-31G*(0.25) stacking energies between the aromatic amino acids and the natural or methylated nucleobases were considered. The potential energy surfaces of dimers were searched as a function of the vertical separation, angle of rotation and horizontal displacement between monomers stacked according to their centers of mass. Our calculations reveal that the stacking interactions of adducts for a given nucleobase are dependent on the methylation site (by up to 20 kJ mol(-1)), where the relative magnitudes of the interactions are determined by the dipole moments of the adducts and the proton affinities of nucleobase methylation sites. Nevertheless, the differences in the (gas-phase) stacking of methylated adducts are small compared with the differences between the stacking of the corresponding natural and methylated nucleobases. Indeed, methylation increases the stacking energy by up to 40 kJ mol(-1) (or 135%). Although immersing the dimers in different solvents decreases the gas-phase stacking energies with an increase in the polarity of the environment, base methylation still has a significant effect on the nucleobase stacking ability in solvents with large dipole moments, and, perhaps more importantly, environments that mimic enzyme active sites. Our results shed light on the workings of DNA repairs enzymes that selectively remove a wide variety of alkylated nucleobases over the natural bases.     

Fluorous ionic liquids as solvents for the liquid-liquid extraction of metal ions by macrocyclic polyethers

The predominant mode of strontium ion transfer from aqueous nitrate media into a series of 1-fluoroalkyl-3-methylimidazolium bis[(trifluoromethylsulfonyl)]imides containing dicyclohexano-18-crown-6 (DCH18C6) is shown to shift from cation exchange to strontium nitrato-crown ether complex partitioning as the length of the fluoroalkyl substituent is increased. Fluoroalkyl substituents are shown to be only slightly more effective than their non-fluorous analogs at inducing this shift. At the same time, the fluorinated ionic liquids (ILs) yield strontium distribution ratios as much as an order of magnitude lower than the corresponding 1-alkyl-3-methylimidazolium (C_nmim⁺) salts. Fluorous ILs thus appear to offer no compelling advantages over C_nmim⁺ ionic liquids as extraction solvents.     

Metal-directed assembly of coordination oligomers

Bridging ligands containing two spatially separated 2,2′:6′,2′-terpyridinyl metal-binding domains have been prepared and used for the controlled assembly of coordination oligomers incorporating ruthenium(II) and other metal ions. Two such bridging ligands have been structurally characterised. The systematic synthesis of a range of homo- and heterometallic polynuclear complexes incorporating these bridging ligands and a variety of terminator 2,2′:6′,2′- terpyridines is described.     

ChemInform Abstract: Trends in the Frequencies of ν(AsOxHx‐1) [x = 2—4] in Selected As(V)‐Containing Compounds Investigated Using Quantum Chemical Calculations.

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