Reconstructing Free Energy Profiles from Nonequilibrium Relaxation Trajectories

Reconstructing free energy profiles is an important problem in bimolecular reactions, protein folding or allosteric conformational changes. Nonequilibrium trajectories are readily measured experimentally, but their statistical significance and relation to equilibrium system properties still call for rigorous methods of assessment and interpretation. Here we introduce methods to compute the equilibrium free energy profile of a given variable from a set of short nonequilibrium trajectories, obtained by externally driving a system out of equilibrium and subsequently observing its relaxation. This protocol is not suitable for the Jarzynski equality since the irreversible work on the system is instantaneous. Assuming that the variable of interest satisfies an overdamped Langevin equation, which is frequently used for modeling biomolecular processes, we show that the trajectories sample a nonequilibrium stationary distribution that can be calculated in closed form. This allows for the estimation of the free energy via an inversion procedure that is analogous to that used in equilibrium and bypasses more complicated path integral methods, which we derive for comparison. We generalize the inversion procedure to systems with a diffusion constant that depends on the reaction coordinate, as is the case in protein folding, as well as to protocols in which the trajectories are initiated at random points. Using only a statistical pool of tens of synthetic trajectories, we demonstrate the versatility of these methods by reconstructing double and multi-well potentials, as well as a proposed profile for the hydrophobic collapse of a protein.     

Switching time in optically bistable injection-locked semiconductor lasers

Switching between states in a dispersive bistable injection-locked slave laser has been theoretically investigated. We show that the switching can be achieved by relatively small and short (≈10-50?ps) variation of the master laser injection power or frequency, which, besides the variation of the slave laser optical power, leads to significant variation of its photon phase (≈5π/6). By using an analytical model, we calculate the switching time dependence on the magnitude of the injection power and the frequency detuning variation.     

A new approach to the analysis of nicarbazin and ionophores in eggs by HPLC/MS/MS

An HPLC/MS/MS method has been developed and validated for the quantification and confirmation of nicarbazin and ionophores (lasalocid, monensin, salinomycin, and narasin) in eggs. Nicarbazin is determined in the negative electrospray mode with a basic mobile phase that supports creation of negative ions. Consequently, our ability to maintain instrument sensitivity over time has significantly improved. The analysis of the ionophores is done in the positive electrospray mode using ammonium buffer for HPLC separation. Monitoring ammonium adduct parent ions resulted in enhanced sensitivity and better reproducibility of the ionophore analysis. The validation of this improved HPLC/MS/MS method for the detection of nicarbazin and the ionophores demonstrated excellent precision of below 10% RSD and lower LOD values (microg/kg) for nicarbazin (0.018), lasalocid (0.015), monensin (0.015), salinomycin (0.033), and narasin (0.039).     

A correlation of the limiting viscosity number, molecular mass and composition of statistical linear styrene-methyl methacrylate copolymers

Statistical copolymers of styrene and methyl methacrylate of different compositions were synthesized by the radical solution copolymerization in a batch isothermal reactor. Copolymers were characterized by the size exclusion chromatography (SEC), elemental analysis and dilute solution viscometry. Experimental limiting viscosity numbers were described by the Mark-Houwink-Kuhn-Sakurada correlation as the function of the molar mass and by the Mendelson correlation as the function of both the molar mass and copolymer composition. A new correlation of the intrinsic viscosity number, molar mass and composition was developed, based on semiempirical considerations. The correlation takes into consideration all the effects which affect the dimensions of random linear copolymer coils in solvents. The new equation was found to be superior to the Mendelson’s one in correlating the experimentally obtained intrinsic viscosities.     

Effect of mixing on the crystal size distribution of borax decahydrate in a batch cooling crystallizer

The effect of the impeller speed upon the metastable zone width, supersaturation level, crystal growth and the crystal size distribution of borax decahydrate have been investigated to find operating conditions of a batch cooling crystallizer. The importance of impeller speed was studied in baffled stirred crystallizer with a volume of about 2 dm³, equipped with four straight blade turbine (4-SBT) cooling at a constant cooling rate. The metastable zone width was determined by visual method, while concentration changes during the process were monitored in line using ion-selective electrode. The crystal size distribution was determined by optical microscope and sieve analysis respectively. The power consumption measurements were performed for all impeller speeds examined as well. On the basis of the experimental results and observations it is evident that in an agitated batch crystallizer the above mentioned parameters are significantly influenced by hydrodynamic regime in the system determined by impeller used and its revolution speed.     

Sheathless reverse-polarity capillary electrophoresis-electrospray-mass spectrometry for analysis of underivatized glycoconjugates

We report on the development of a novel methodology to extend the limits of capillary electrophoresis-electrospray ionization-mass spectrometry (CE-ESI-MS) general applicability. A sheathless on-line CE-ESI-MS setup was optimized on standard monosaccharide mixture to operate in reverse polarity and negative ion mode for MS detection without pressure to assist the sample migration, coating of the capillaries, and/or sample derivatization. This approach was further applied for screening of a complex glycopeptide mixture obtained from the urine of a patient diagnosed with N-acetylhexosaminidase deficiency, known as Schindler's disease. The potential of this methodology in terms of high sensitivity, separation efficiency, resolution, and reproducibility is demonstrated. In combination with the high quality of MS data, a new, significantly improved insight into the sample heterogeneity is possible.     

Variations of trace element contents within single tree rings

X-ray fluorescence was used to measure variations in relative and absolute trace-element concentrations within single tree rings taken from a 32-year-old pine tree near a coalburning power plant. The Zn/Cu ratio was found to have a constant value, both along individual rings and between different rings. The Fe, Ca and 8 concentrations varied in a single tree ring and depended on the age of the tree. The results indicate that the variations in concentrations of elements along a single ring are caused by heterogeneous tree tissue structure.     

Determination of phosphorylation sites in lipooligosaccharides from Pseudoalteromonas haloplanktis TAC 125 grown at 15 degrees C and 25 degrees C by nano-electrospray ionization quadrupole time-of-flight tandem mass spectrometry

Lipooligosaccharides (LOSs) are macromolecules present on the external cellular membrane of Gram-negative bacteria, structurally made of two distinct regions, lipid A and Core. By varying their growth temperature, bacteria such as psychrophiles change the phosphorylation distribution of the LOSs produced. The level of phosphorylation and the phosphate group positions in LOSs produced by the extremophile psychrophilic bacterium Pseudoalteromonas haloplanktis TAC 125, grown at 15 degrees C and 25 degrees C, were investigated by nano-electrospray ionization quadrupole time-of-flight mass spectrometry (nanoESI-QTOF-MS) and tandem mass spectrometry (MS/MS). The samples, obtained by phenol/chloroform/petroleum ether (PCP) extraction of dried cells, were treated with hydrazine at 37 degrees C in order to reduce the heterogeneity by removal of the ester-linked fatty acid moieties. The molecular ion distributions in these LOS fractions were investigated in negative ion mode. Based on these data it was postulated that the sample grown at 25 degrees C contained four phosphate groups while that at 15 degrees C contained three. In order to determine phosphorylation sites in sugar chains, the samples were submitted to low collision energy MS/MS for sequencing. In the sample with three phosphates, one was found to be linked to the tetrasaccharide Core region, more precisely to position C-4 of the Kdo unit. The two remaining phosphate groups were both linked to the 2-acylamide-2-deoxy-D-glucopyranose of the lipid A moiety, and two possible distributions could be postulated on the basis of the fragmentation pattern obtained; in the first case both phosphate groups are linked as a pyrophosphate moiety to position C-1 of the proximal glucosamine (reducing residue), while in the second case one phosphate is linked to position C-1 of the proximal glucosamine and the other to position C-4' of the distal glucosamine (non-reducing residue). This distribution was also found in the lipid A moiety of the tetraphosphorylated sample grown at 25 degrees C, which bears two phosphate groups on the Core region, one on position C-4 of the Kdo and the other on position C-7 or C-8 of the same residue. The phosphate locations were derived from the intra-ring cleavage ions of sugar moieties in the LOSs obtained by an optimized CID procedure using negative ion QTOF-MS/MS.     

Mapping and sequencing of cardiolipins from Geobacillus stearothermophilus NRS 2004/3a by positive and negative ion nanoESI-QTOF-MS and MS/MS

In the course of systematic studies on surface layer (S-layer) glycoproteins of bacilli, the chloroform/methanol extract from whole cells of Geobacillus stearothermophilus NRS 2004/3a has been submitted to MS analysis. Glucosylated cardiolipins were found as minor components of the total lipid and phospholipid mixture by de novo identification. After purification of the crude extract using a combined column chromatography/2D TLC protocol, structural investigations of components in the lipid fraction by high resolution ESI-QTOF MS analysis provided evidence about homologous molecules attributable to the cardiolipin species containing a glycosylated backbone, and about a diversity of ester-linked fatty acid substituents. In comparative studies by positive and negative ion nanoESI-QTOF-CID-MS, maps of cardiolipin molecular ions were obtained, followed by MS/MS of the most abundant species, to provide structural details of D-glucopyranosylcardiolipin and the fatty acid substituent patterns. Experiments of the parent ion scan type revealed the presence of fatty acid moieties as isobaric combinations, represented in single molecular ion species.