Turing instability in an economic–demographic dynamical system may lead to pattern formation on a geographical scale

Spatial distribution of the human population is distinctly heterogeneous, e.g. showing significant difference in the population density between urban and rural areas. In the historical perspective, i.e. on the timescale of centuries, the emergence of densely populated areas at their present locations is widely believed to be linked to more favourable environmental and climatic conditions. In this paper, we challenge this point of view. We first identify a few areas at different parts of the world where the environmental conditions (quantified by the temperature, precipitation and elevation) show a relatively small variation in space on the scale of thousands of kilometres. We then examine the population distribution across those areas to show that, in spite of the approximate homogeneity of the environment, it exhibits a significant variation revealing a nearly periodic spatial pattern. Based on this apparent disagreement, we hypothesize that there may exist an inherent mechanism that may lead to pattern formation even in a uniform environment. We consider a mathematical model of the coupled demographic-economic dynamics and show that its spatially uniform, locally stable steady state can give rise to a periodic spatial pattern due to the Turing instability, the spatial scale of the emerging pattern being consistent with observations. Using numerical simulations, we show that, interestingly, the emergence of the Turing patterns may eventually lead to the system collapse.     

Studies on diacetylenic vinyl compounds

Summary Three alka-3,5-diynylmethacrylate and 1,8-Bis(methacryloxy)octa-3-5-dyine were synthesized and their polymerization in the molten state was studied. 3,5-Octadiynylene-1,8-dimethacrylate, which was the only one that was solid at room temperature, was not light sensitive in the solid state. All the monomers underwent rapid polymerization at 140 °C. The DSC and IR-spectra indicated that the polymerization of the vinyl and diacetylenic groups takes place simultaneously. An optically highly transparent, yellow-orange glass was obtained.     

Inhibition of phospholipase C by isosteric phosphinic acid analogues of lecithin

Four synthetic diether phosphinate analogues of lecithin were studied for inhibitory activity againstClostridium perfringens phospholipase C. An order of inhibitory effectiveness of phosphonate and phosphinate was, thereby, developed. The inhibitions seem relatively independent of specific structural features; this is discussed with emphasis on physical effects which complicate the inhibition kinetics.     

On Fitting Empirical Data under Interval Error

This paper is devoted to the problem of fitting input-output data by a modeling function, linear in its parameters, in the presence of interval-bounded errors in output variable. A method for outlier detection is proposed. Another issue under consideration is the comparative simulation study of the well-known statistical point estimates (least squares, maximum likelihood) and point estimates calculated as the center of interval hull of uncertainty set. The results of the study allow us to draw the conclusion that non-statistical interval based estimation is a competitive alternative to statistical estimation in some cases.     

An easy way to Pd–Zn nanoalloy with defined composition from a heterobimetallic Pd(μ–OOCMe)4Zn(OH2) complex as evidenced by XAFS and XRD

The heterobimetallic lantern complex Pd(μ-OOCMe)₄Zn(OH₂) was found to be readily reduced with H₂ under fairly mild conditions (150–250 °C, 5–10% H₂/He) both in the carbon-supported and crystalline states to afford a Pd–Zn nanoalloy as evidenced by the ICP elemental analysis, EXAFS, XANES and XRD data.      

Shape-factor effect on melting in an elliptic capsule

An approximate mathematical model of contact melting of an unfixed material in an elliptical capsule is developed. The main characteristic scales and non-dimensional parameters which describe the principal features of the melting process are found. Choosing a special heat flux distribution on the wall of the capsule allows us to derive a closed-form evolution equation for the motion of the solid accounting for the energy convection in the liquid, expressed through the non-linearity of the temperature distribution across the molten layer. It is shown that the melting rate of the solid depends on the shape of the capsule. Generally, elliptical capsules show higher rate of melting than circular ones. Elongated capsules provide more effective melting than oblate ones, even though they have the same aspect ratios and vertical cross-sectional areas. This phenomenon is caused by the fact, that the pressure necessary to support the solid is larger for the elongated capsules than that for oblate ones, which leads to thinning of the molten layer along with the increase of the heat flux across it. The time required for complete melting can be achieved by the right choice of the shape of the capsule, which is specified by the value of the aspect ratio. The found influence of the capsule shape on the melting rate can be used for design and optimization of practical latent-heat-thermal-energy systems.     

Ecosystemic effects of salmon farming increase mercury contamination in wild fish

Net-pen salmon aquaculture has well-known effects on coastal ecosystems: farm waste increases sediment organic content and the incidence of sediment anoxia, supports increased production of deposit-feeding invertebrates, and attracts higher densities of demersal fish and other mobile carnivores. These impacts are widely considered to be localized and transitory, and are commonly managed by imposing a period of fallowing between cycles of production. The implications of these ecosystemic effects for contaminant cycling, however, have not previously been considered. We found elevated levels of mercury in demersal rockfishes near salmon farms in coastal British Columbia, Canada, attributable to a combination of higher rockfish trophic position and higher mercury levels in prey near farms. Mercury concentrations in long-lived species such as rockfishes change over a longer time scale than cycles of production and fallowing, and thus at least some important effects of fish farms may not be considered transitory.     

Simultaneous determination of sulphamerazine,sulphamethazine and sulphadiazine in honey and chicken muscle by a new monoclonal antibody-based fluorescence polarisation immunoassay

A new monoclonal antibody (Mab) against sulphamerazine (SMR) was produced and a fluorescence polarisation immunoassay (FPIA) based on the Mab was developed and optimized for the simultaneous qualitative screening of SMR, sulphamethazine (SMZ) and sulphadiazine (SDZ). The Mab, raised from mice immunized with SMR, was bound to bovine serum albumin (BSA) using glutaraldehyde as the coupling reagent. Fluorescein-labelled SMR and SMZ (tracer) were synthesized and purified by thin layer chromatography (TLC). Cross-reactivities below 3.6% were displayed in the optimized FPIA for another 14 sulphonamides when both tracers were employed. The limits of detection (LOD) were 0.9 ng g^?1 for SMR, 2 ng g^?1 for SMZ and 3.1 ng g^?1 for SDZ. Analysis of SMR, SMZ and SDZ fortified chicken muscle and honey samples by the FPIA showed average recoveries of 86–131% with a standard deviation (SD) of 4.6–32. Comparative analyses of a SMZ-treated chicken muscle sample by both FPIA and high performance liquid chromatograph (HPLC) showed a good correlation (r?=?0.9991). The study demonstrates the practical application of FPIA in screening chicken muscle and honey samples for sulphonamides residues.     

Magnesium borohydride as a hydrogen storage material: Properties and dehydrogenation pathway of unsolvated Mg(BH4)2

The decomposition of crystalline magnesium borohydride upon heating was studied using thermal desorption, calorimetry, in situ X-ray diffraction, and solid state NMR. Hydrogen release from Mg(BH₄)₂ occurs in at least four steps via formation of several polyborane intermediate species and includes an exothermic reaction yielding crystalline MgH₂ as an intermediate. The decomposition products may be only partially recharged after the very first step and also via hydrogenation of Mg metal. The intermediate formation of amorphous MgB₁₂H₁₂, was confirmed by ¹¹B NMR. A four-stage pathway for the thermal decomposition of Mg(BH₄)₂ is proposed.     

Contact melting inside an elastic capsule

An approximate mathematical model of contact melting of an unfixed material in elastic cylindrical and spherical capsules is developed. Since the density of the solid is higher than that of the melt, the melting solid resides at the bottom supported by a thin layer of the generated, convecting, melt, and the capsule swells. The main characteristic scales and non-dimensional parameters, which describe the principal features of the melting process and the liquid flow, are found. Linearisation with regard to the Stefan number as well as the small difference between the densities of the solid and liquid enables us to derive a closed-form evolution equation for the motion of the solid, which also determines the melting rate. Numerical solution of the evolution equation shows that the swelling of the capsule during melting, which is caused by the decrease of the density during phase transition, leads to slowing down of the melting process. This effect is due to flattening of the lower surface of the capsule, which entails fall of the pressure along with thickening of the molten layer. The latter determines the decrease of the melting rate.