Effects of emulsifier charge and concentration on pancreatic lipolysis. 1. In the absence of bile salts

An in vitro study is performed with sunflower oil-in-water emulsions to clarify the effects of type of used emulsifier, its concentration, and reaction time on the degree of oil lipolysis, α. Anionic, nonionic, and cationic surfactants are studied as emulsifiers. For all systems, three regions are observed when surfactant concentration is scaled with the critical micelle concentration, C(S)/cmc: (1) At C(S) < cmc, α ≈ 0.5 after 30 min and increases up to 0.9 after 4 h. (2) At C(S) ≈ 3 × cmc, α ≈ 0.15 after 30 min and increases steeply up to 0.9 after 2 h for the cationic and nonionic surfactants, whereas it remains around 0.2 for the anionic surfactants. (3) At C(S) above certain threshold value, α = 0 for all studied surfactants, for reaction time up to 8 h. Additional experiments show that the lipase hydrolyzes molecularly soluble substrate (tributirin) at C(S) > cmc, which is a proof that these surfactants do not denature or block the enzyme active center. Thus, we conclude that the mechanism of enzyme inhibition by these surfactants is the formation of a dense adsorption layer on an oil drop surface, which displaces the lipase from direct contact with the triglycerides.     

Genetic algorithms for solving the discrete ordered median problem

In this paper we present two new heuristic approaches to solve the Discrete Ordered Median Problem (DOMP). Described heuristic methods, named HGA1 and HGA2 are based on a hybrid of genetic algorithms (GA) and a generalization of the well-known Fast Interchange heuristic (GFI). In order to investigate the effect of encoding on GA performance, two different encoding schemes are implemented: binary encoding in HGA1, and integer representation in HGA2. If binary encoding is used (HGA1), new genetic operators that keep the feasibility of individuals are proposed. Integer representation keeps the individuals feasible by default, so HGA2 uses slightly modified standard genetic operators. In both methods, caching GA technique was integrated with the GFI heuristic to improve computational performance. The algorithms are tested on standard ORLIB p-median instances with up to 900 nodes. The obtained results are also compared with the results of existing methods for solving DOMP in order to assess their merits.     

Stability of a vertically positioned heavy rotating rod

The stability boundary for a heavy, vertically positioned rotating rod is determined. Generalized constitutive equations, taking into account compressibility of the rod axis and the influence of the shear stresses are used. It is shown that by changing values of the parameters, the bifurcation pattern changes from super to sub - critical.     

Two Stereoinduction Events in One C−H Activation Step: A Route towards Terphenyl Ligands with Two Atropisomeric Axes

Herein we disclose the synthesis of original chiral scaffolds—ortho‐orientated terphenyls presenting two atropisomeric Ar–Ar axes. These unusual structures were built up by using the C?H activation approach, and remarkably, both chiral axes were controlled with excellent stereoselectivity in a single transformation. During the reaction, not only does atroposelective functionalization of a biaryl precursor occur to establish one stereogenic axis, but an unprecedented atropo‐stereoselective C?H arylation also takes place to generate the second stereogenic element. These enantiomerically pure ortho‐terphenyls show an original tridimensional structure and thus constitute a unique foundation for building up a library of enantiomerically pure bidentate ligands, such as the new ligands S/N‐Biax and diphosphine BiaxPhos.     

Evaluation of the precision of drop-size determination in oil/water emulsions by low-resolution NMR spectroscopy

The accuracy of the recently reported low-resolution NMR method (Goudappel, G. J. W.; et al. J. Colloid Interface Sci. 2001, 239, 535) for the determination of drop-size distribution in oil-in-water emulsions is evaluated by comparing the NMR results with precise data from video-enhanced optical microscopy. A series of 27 soybean-oil-in-water emulsions, differing in their mean drop size, polydispersity, oil volume fraction, and emulsifier, is studied. Soybean oil is selected as a typical component of food emulsions. The experimental error of our optical procedure for drop-size determination is estimated to be around 0.3 microm, which allows us to use the microscopy data as a reference for the mean drop-size and distribution width of the studied emulsions, with known experimental error. The main acquisition parameters in the NMR experiment are varied to find their optimal values and to check how the experimental conditions affect the NMR results. Comparison of the results obtained by the two methods shows that the low-resolution NMR method underestimates the mean drop size, d33, by approximately 20%. For most of the samples, NMR measures relatively precisely the distribution width (+/-0.1 to 0.2 dimensionless units), but for approximately 20% of the samples, larger systematic deviation was registered (underestimate by 0.3-0.4 units). No correlation is found between the emulsion properties and the relative difference between the microscopy and NMR data. Possible reasons for the observed discrepancy between NMR and optical microscopy are discussed, and some advantages and limitations of the low-resolution NMR method are considered.     

Synthesis of syn-facial (Cr,Mn) benzyl complexes by the stereoselective thermolytic coupling of unsymmetric diazomethanes with cyclomanganated (η-arene)tricarbonylchromium complexes

The heat-promoted reaction of 1,3-bis(2,4,6-trimethylphenyl)imidazol-2-ylidene with cyclomanganated 2-[tricarbonyl(η⁶-phenyl)chromium]pyridine afforded, upon departure of a molecule of CO, a new stable manganese alkylidene complex in which, according to X-ray diffraction analyses, the heterocyclic ligand is anti-facial with respect to the Cr(CO)₃ moiety. Similar heat-promoted reactions of unsymmetrically substituted diazoalkanes such as (Me₃Si)(H)CN₂, (Ph)(Me)CN₂, (Ph)(t-Bu)CN₂ and (Ph)(FcCH₂CH₂)CN₂, which are precursors of more electrophilic alkylidenes, with cyclomanganated 2-[tricarbonyl(η⁶-phenyl)chromium]pyridine derivatives afforded new syn-facial heterobimetallic benzyl complexes. The stereoselectivity of these reactions depends on the steric demand of the substituents at the diazoalkane. A phenyl substituent at the diazoalkane favors the formation of syn-facial heterobimetallic benzyl complexes with the Ph group in the endo position. Combining this “phenyl directing effect” to the steric effect operated by a bulky group at the phenyldiazoalkane, like noticed with (Ph)(t-Bu)CN₂, led to total stereoselectivity. This study discloses four new X-ray structures of syn-facial Cr,Mn benzyl complexes, which all present the same short Cr-to-Mn distance of ca. 3.04 Å.     

Towards a unified gauge theory of gravitational and strong interactions

We study the space-time properties of leptons and hadrons and find it necessary to extend general relativity to the gauge theory based on the four-dimensional affine group. This group translates and deforms the tetrads of the locally Minkowskian space-time. Its conserved currents, momentum, and hypermomentum, act as sources in the two field equations of gravity. A Lagrangian quadratic in torsion and curvature allows for the propagation of two independent gauge fields: translationale-gravity mediated by the tetrad coefficients, and deformational -gravity mediated by the connection coefficients. For macroscopic mattere-gravity coincides with general relativity up to the post-Newtonian approximation of fourth order. For microscopic matter -gravity represents a strong Yang-Mills type interaction. In the linear approximation, for a static source, a confinement potential is found.This essay received an honorable mention (1979) from the Gravity Research Foundation.-Ed.     

Effect of shear on stability and nonlinear behavior of a rotating rod

Summary The nonlinear equations describing in-plane deformation of a rotating elastic rod, taking into account shear effect, are derived. It is shown that the critical rotation speed is determined from the linearized equation. The nonlinear equilibrium equations are solved numerically and the effect of shear on maximal deflection is studied.

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Der Einfluß der Schubspannungen auf die Stabilität und das nichtlineare Verhalten einer rotierenden Welle

Übersicht Die nichtlinearen Differentialgleichungen für die ebene Verformung einer rotierenden elastischen Welle mit Schubspannungseinfluß auf die Biegelinie wird hergeleitet. Wir zeigen, daß die kritische Rotationsgeschwindigkeit aus den linearen Gleichgewichtsbedingungen folgt. Die nichtlinearen Gleichungen werden numerisch gelöst und der Schubspannungseinfluß auf die Durchbiegung wird untersucht.

     

Persistent metal bis(hexafluoroacetylacetonato) complexes featuring a 2,2'-bipyridine substituted triarylamminium radical cation

Herein, we describe the preparation of a 2,2'-bipyridine derivative containing a redox-active N,N'-(4,4'-dimethoxydiphenylamino) substituent (1), which readily coordinates M(hfac)(2) salts [M = Mn (2), Ni (3), Cu (4)] to generate stable, neutral, and pseudo-octahedral coordination complexes, which have been fully characterized. Cyclic voltammetry and spectroelectrochemical measurements on complexes 2-4 indicate stable one-electron oxidation processes, and the formation of persistent radical cation complexes. The neutral complexes (M = Mn or Ni) were subject to one-electron oxidation with NOPF(6) in acetonitrile, and magnetic moments of the resulting solutions were obtained using the Evans method at different temperatures. Our experimental results suggest that the first reported ferromagnetically coupled metal-triarylamminum radical cation complex is obtained when M = Mn(2+), and antiferromagnetic coupling results when M = Ni(2+). These results are supported by results from density functional theory calculations, which indicate that a π spin polarization mechanism for magnetic exchange coupling is operative in singly oxidized complexes, 2-4.     

Effect of thermal treatment, ionic strength, and pH on the short-term and long-term coalescence stability of beta-lactoglobulin emulsions

We present experimental results about the effects of thermal treatment, ionic strength, and pH on the protein adsorption and coalescence stability of freshly prepared (2 h after emulsification) and 6-day-stored emulsions, stabilized by the globular protein beta-lactoglobulin (BLG). In all emulsions studied, the volume fraction of the dispersed soybean oil is 30% and the mean drop diameter is d(32) approximately 40 microm. The protein concentration, C(BLG), is varied between 0.02 and 0.1 wt %, the electrolyte concentration, C(EL), between 1.5 mM and 1 M, and pH between 4.0 and 7.0. The emulsion heating is performed at 85 degrees C, which is above the denaturing temperature of BLG. The results show that, at C(BLG) > or = 0.04 wt %, C(EL) > or = 150 mM, and pH > or = 6.2, the heating leads to higher protein adsorption and to irreversible attachment of the adsorbed molecules, which results in enhanced steric repulsion between the protein adsorption multilayers and to higher emulsion stability. At low electrolyte concentration, C(EL) < or = 10 mM, the emulsion stability is determined by electrostatic interactions and is not affected significantly by the emulsion heating. The latter result is explained by electrostatic repulsion between the adsorbed protein molecules, which keeps them separated from each other and thus precludes the formation of disulfide covalent bonds in the protein adsorption layer. The coalescence stability of heated and nonheated emulsions is practically the same and does not depend on C(EL), when pH is around the isoelectric point (IEP) of the protein molecules. This is explained with the adsorption of uncharged BLG molecules, in compact conformation, which stores the reactive sulfhydryl groups hidden inside the molecule interior, thus preventing the formation of covalent intermolecular bonds upon heating. We studied also the effect of storage time on the stability of heated and nonheated emulsions. The stability of nonheated emulsions (C(BLG) = 0.1 wt %, C(EL) > or = 150 mM, and pH = 6.2) significantly decreases after 1 day of storage (aging effect). In contrast, no aging effect is observed after emulsion heating. FTIR spectra of heated and nonheated, fresh and aged emulsions suggest that the aging effect is caused by slow conformational changes of the protein molecules in the adsorption layer, accompanied with partial loss of the ordered secondary structure of the protein and with the formation of lateral noncovalent bonds (H-bonds and hydrophobic interactions) between the adsorbed molecules. After thermal treatment of the BLG emulsions, the molecules preserve their original secondary structure upon storage, which eliminates the aging effect.