Search PubMed⌕ Search

SEARCH · Search PubMed

Results for “quantitative model”

Search indexed PubMed citations on genomics, clinical trials, systematic reviews and public health. Explore titles, authors and supplied subject terms, then open the PubMed record.

Quote a phrase for an exact phrase match. Source license links do not imply unrestricted reuse.

At least 1,405 records · Page 78Linked to original sources

Collision-induced dissociation of ions within the orifice-skimmer region of an electrospray mass spectrometer

An equation was derived to describe the variation of the gas number density within the region between the orifice and the skimmer of an electrospray ionization mass spectrometer. The equation was used to develop a semi-quantitative model to predict the value of orifice voltages that lead to ion fragmentation within this region. This model made it possible to predict the types of solvent adducts observed for analytes at various orifice voltages. In addition, it is shown that a small number of high-energy collisions is equally effective for collision-induced dissociation as compared to a large number of low-energy collisions. Finally, this model is tested with different background electrolyte solutions and a different electrospray mass spectrometer. It is demonstrated that controlled fragmentation studies can be performed on single-quadrupole mass spectrometers, and the proposed model gives a reasonable description of the fragmentation process in both spectrometers.

Journal Article↗

Influence of pH on the equilibrium association constants for oligodeoxyribonucleotide-directed triple helix formation at single DNA sites.

The energetics of oligodeoxyribonucleotide-directed triple helix formation for the pyrimidine.purine.pyrimidine structural motif were determined over the pH range 5.8-7.6 at 22 degrees C (100 mM Na+ and 1 mM spermine) using quantitative affinity cleavage titration. The equilibrium binding constants for 5'-TTTTTCTCTCTCTCT-3' (1) and 5'-TTTTTm5CTm5CTm5CTm5CTm5CT-3' (2, m5C is 2'-deoxy-5-methylcytidine) increased by 10- and 20-fold, respectively, from pH 7.6 to 5.8, indicating that the corresponding triple-helical complexes are stabilized by 1.4 and 1.7 kcal.mol-1, respectively, at the lower pH. Replacement of the five cytosine residues in 1 with 5-methylcytosine residues to yield 2 affords a stabilization of the triple helix by 0.1-0.4 kcal.mol-1 over the pH range 5.8-7.6. An analysis of these data in terms of a quantitative model for a general pH-dependent equilibrium transition revealed that pyrimidine oligonucleotides with cytidine and 5-methylcytidine form local triple-helical structures with apparent pKa's of 5.5 (C+GC triplets) and 5.7 (m5C+GC triplets), respectively, and that the oligonucleotides should bind to single sites on large DNA with apparent affinity constants of approximately 10(6) M-1 even above neutral pH.

Animals↗

Ca(2+)-linked association of human complement C1s and C1r.

The weight-average molecular weight of Clr, an activated serine protease subcomponent of complement Cl, was measured in the presence of widely varying concentrations of Ca2+ and the other serine protease subcomponent, Cls, by utilizing the technique of tracer sedimentation equilibrium. A quantitative model for heteroassociation between the two subcomponents, which takes into account the previously observed Ca(2+)-dependent self-association of Cls, was fit to the combined data at each Ca2+ concentration. The results indicate that Clr, which exists as a dimer under all of the conditions explored in this work, can bind up to two molecules of Cls at both low and high Ca2+ concentrations, but the association constant for binding a single molecule of Cls to dimeric Clr is estimated to increase on the order of a 1000-fold as [Ca2+] increases from 1 nM to 1.0 mM. Heteroassociation of Clr and Cls is favored over self-association of Cls at all conditions. The results clearly indicate the necessity of taking into account a multiplicity of states of association when attempting to understand the equilibrium average properties of a mixture of the two subcomponents and their binding to Clq in solution.

Binding Sites↗

Cholera toxin mediated agglutination of ganglioside Gm1 containing phospholipid vesicles and Gm1-coated polystyrene spheres.

Quasi-elastic laser light scattering is used to examine the cholera toxin mediated agglutination of ganglioside GM1 containing phospholipid vesicles and Gm1-coated polystyrene spheres. We find that the ability of cholera toxin to agglutinate Gm1-containing phospholipid vesicles depends markedly on the lipid composition of the vesicle, with only those composed of short-chain lipids (C14, C16) being appreciably agglutinated. This is interpreted as due to poor mixing of these lipids with the longer chain gangliosides, resulting in lateral separation of the gangliosides in the membrane bilayer. A simple quantitative model, a modification of that developed by von Schulthess et al. [von Schulthess, G. K., Cohen, R. J., Sakato, N., & Benedek, G. B. (1976a) Immunochemistry 13, 955--962], is developed to describe these agglutination processes. Application of this model to the agglutination of Gm1-coated polystyrene spheres by cholera toxin allows an estimate of a minimum value of 4.5 x 10(4) M-1 for the association constant of cholera toxin for its initial Gm1 receptor.

Agglutination↗

Anisotropic motion of the steroid ring system of cholesteryl esters. Calculation of carbon-13 nuclear magnetic resonance relaxation times and nuclear Overhauser enhancements and comparison with experiment.

A quantitative model for the molecular dynamics of the steroid fused ring system of cholesteryl esters is discussed. The model describes rotational diffusive motion of the steroid rings as that of axially symmetric prolate ellipsoids and is used to generate predictions for the dependence of carbon-13 nuclear magnetic resonance (13C NMR) line widths, spin-lattice relaxation times, and nuclear Overhauser enhancements of C3 and C6 of cholesteryl esters on the correlation times for rotation about the symmetry axis and about the nonunique axes of the ellipse by using the spectral density functions developed by Woessner [Woessner, D.E. (1962) J. Chem. Phys. 37, 647-654]. The predictions are used to calculate correlation times for motion of the steroid rings of isotropic liquid-phase cholesteryl linoleate and cholesteryl oleate from NMR spectra at magnetic field strengths of 2.35 and 6.34 T and at various temperatures. Such calculations characterize steroid ring motion of cholesteryl esters as highly anisotropic, with motion about the symmetry axis 40-130 times faster than about the nonunique axes. The fact that the line width of the C6 resonance is consistently narrower than that of C3 is attributed to the high rotational anisotropy of cholesteryl esters and to the inclination of the C6-H internuclear vector at an angle with respect to the molecular symmetry axis that is very close to the "magic angle".

Cholesterol Esters↗

Kinetics and mechanism of dissociation of cooperatively bound T4 gene 32 protein-single-stranded nucleic acid complexes. 2. Changes in mechanism as a function of sodium chloride concentration and other solution variables.

The dissociation kinetics of bacteriophage T4 coded gene 32 protein-single-stranded nucleic acid complexes have been examined as a function of monovalent salt concentration, temperature, and pH in order to investigate the details of the dissociation of cooperatively bound protein. Fluorescence stopped-flow techniques were used, and irreversible dissociation was induced by a combination of [NaCl] jumps and mixing with excess nucleic acid competitor. This made it possible to directly investigate the irreversible dissociation process over a wide range of NaCl concentrations [e.g., from 50 mM to 0.60 M for the gene 32 protein-poly(A) complex], in the absence of reassociation. Over the entire salt range, the only dissociable species observed is the singly contiguously bound gene 32 protein which dissociates from the ends of protein clusters. However, the [NaCl] dependence of the dissociation rate constant suggests that two competing pathways exist for dissociation of cooperatively bound gene 32 protein from the ends of protein clusters. At high monovalent salt concentrations, dissociation is dominated by a single-step process, with log ke/log [NaCl] = 6.5 +/- 0.5; i.e., the dissociation rate constant increases with increasing NaCl concentration due to the uptake of approximately six monovalent ions upon dissociation. This indicates that singly contiguous protein dissociates directly into solution. However, at much lower [NaCl] the data suggest that gene 32 protein, when bound at the end of a protein cluster, dissociates by first sliding off the end to form a noncooperatively bound intermediate which subsequently dissociates. A quantitative model which incorporates the sliding pathway [Berg, O. G., Winter, R. B., & von Hippel, P. H. (1981) Biochemistry 20, 6929-6948] in the dissociation mechanism fits the data reasonably well and suggests that noncooperatively bound monomers of gene 32 protein may be capable of one-dimensional translocation along single-stranded nucleic acids as suggested by independent kinetic data on the association reaction [Lohman, T. M., & Kowalczykowski, S. C. (1981) J. Mol. Biol. 152, 67-109]. It is also observed that both the absolute dissociation rate constant for T4 gene 32 protein and its salt dependence are sensitive to the average molecular weight and polydispersity of the nucleic acid sample used. This is a general phenomenon exhibited by proteins that bind to nucleic acids in a highly cooperative manner.

Escherichia coli↗

Reactive line-shape narrowing in low-temperature inhomogeneous geminate recombination of CO to myoglobin.

The temporal shift in the near-IR absorption peak of myoglobin (Mb) following flash photolysis of MbCO at cryogenic temperatures appears to be due largely to an inhomogeneous reactive process rather than to relaxation. This conclusion, which follows from a new analysis of the experimental data, is based on the following three points: First, at very low temperatures (60 K) a transient line-narrowing effect can be detected. Second, there is a universal, temperature-independent, correlation between spectral shift and survival probability in the rebinding kinetics, and third, the same quantitative model which accounts for rebinding accounts semiquantitatively for the temporal shift in the peak. A fit to the model indicates that the inhomogeneous broadening of the near-IR peak in myoglobin is 15-20% of the total width. The same rebinding process which governs the loss of intensity of this peak is therefore most likely responsible for the shift in its center wavelength.

Animals↗

Thermodynamic and conformational studies on an immunoglobulin light chain which reversibly precipitates at low temperatures.

A lambda light chain, isolated from an immunoglobulin G molecule, was found to reversibly precipitate at low temperatures. This cryoprecipitation was a function of pH, ionic strength, protein concentration, and time as well as temperature. The lambda chain underwent a cooperative conformational change as the temperature was lowered from 26 to 0 degrees C as judged by ultraviolet difference spectroscopy and circular dichroism. Normal lambda chains showed no conformational change. By difference spectroscopy it was possible to calculate the equilibrium constant governing the conformational change. The change was strongly exothermic (delta H approximately -80 kcal mol-1) and accompanied by a large decrease in entropy (delta S approximately -280 eu). The midpoint of the transition was dependent on the initial protein concentration, suggesting that only the noncovalent dimer of the lambda chain exhibited the conformational change. The existence of a monomer-dimer eqiulibrium (KA approximately 4 X 10(5) M-1) was confirmed by sedimentation velocity. No conformational change was observed by circular dichroism at concentrations where greater than 95% of lambda chain was in the form of a monomer. Although high ionic strength inhibited cryoprecipitation, it had no effect on the conformational change. Stabilization of the dimer by forming an interchain disulfide bond between two monomers abolished both the conformational change and cryoprecipitation. A fragment corresponding to the constant region was isolated from both peptic and tryptic digests of the lambda chain. This fragment neither cryoprecipitated nor showed temperature dependence conformational changes. It proved impossible to isolate a fragment corresponding to the variable region. Both qualitative and quantitative models are presented to account for the behavior of the lambda chain at low temperatures.

Humans↗

Structural analysis of sterol distributions in the plasma membrane of living cells.

Although plasma membrane (PM) cholesterol-rich and -poor domains have been isolated by subcellular fractionation, the real-time arrangement of cholesterol in such domains in living cells is still unclear. Therefore, dehydroergosterol (DHE), a naturally occurring fluorescent sterol, was incorporated into cultured L-cell fibroblasts. Two PM markers, the enhanced cyan fluorescent protein (ECFP-Mem) and 3'-dioctadecyloxacarbocyanine perchlorate [DiOC(18)(3)], were used to distinguish DHE localized at the PM of living cells. Spatial enrichment of DHE in the PM of living cells was visualized in real time by multiphoton laser scanning microscopy (MPLSM). Quantitative models and image-processing techniques were developed for statistical analysis of the distribution of DHE within the PM. The PM was resolved from the cytoplasm in a two-step process, and a smooth trajectory reference of the PM was refined by statistical regression and moments-based techniques. Thus, DHE intensities over the PM were measured following the major DHE intensity distributions. Spatial distributions of DHE within the PM were examined by a statistical inference technique, complete spatial randomness (CSR). For PM regions densely populated with DHE, the distributions of DHE exhibited statistical arrangements that were not spatial random (i.e., homogeneous Poisson process) or regular but, instead, exhibited strong cluster patterns. In effect, real-time MPLSM imaging data for the first time demonstrated that sterol enrichment occurred in clustered regions in the PM, consistent with the existence of cholesterol-rich domains in the plasma membrane of living cells.

Animals↗

Anatomy of an energy-coupling mechanism--the interlocking catalytic cycles of the ATP sulfurylase-GTPase system.

ATP sulfurylase, from Escherichia coli K-12, conformationally couples the rates and chemical potentials of the two reactions that it catalyzes, GTP hydrolysis and activated sulfate synthesis. The enzyme is rare among such coupling systems in that it links the potentials of small-molecule chemistries to one another, rather than to vectorial motion. The pre-steady-state stages of the catalytic cycle of ATP sulfurylase were studied using tools capable of distinguishing between enzyme-bound and solution-phase product for each of the four products of the enzyme. The study reveals that the two chemistries are linked at multiple points in the reaction coordinate. Linking begins with an isomerization prior to chemistry that initiates an ordered cleavage of the beta,gamma and alpha,beta bonds of GTP and ATP, respectively; the rates of these three sequential events increase successively, causing them to appear simultaneous. Linking is again seen in the late stages of the catalytic cycle: product release is ordered with P(i) departing prior to either GDP or PP(i). Release rate constants are determined for each product and used to construct a quantitative model of the mechanism that accurately predicts the behavior of this complex system.

Catalysis↗

Detection and quantification of asymmetric lipid vesicle fusion using deuterium NMR.

It is demonstrated that deuterium nuclear magnetic resonance (2H NMR) spectroscopy can be used to detect and to quantify fusion between anionic giant unilamellar vesicles (GUVs) and cationic small unilamellar vesicles (SUVs). The sensitivity to fusion relies on the conformational response of 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphocholine (POPC) to changes in membrane surface electrostatic charge due to lipid mixing upon fusion. This conformational change is reported in the 2H NMR spectrum as a change in the quadrupolar splitting from choline-deuterated POPC. GUVs were composed of varying molar ratios of the anionic lipid 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphoglycerol (POPG), plus cholesterol (CHOL), plus POPC. SUVs were composed of the cationic lipid 1,2-dioleoyloxy-3-(dimethylammonio)-propane (DODAP), plus POPC with or without 1-palmitoyl-2-oleoyl-sn-glycero-3-phosphoethanolamine (POPE). Using a quantitative model that relates the 2H NMR quadrupolar splitting to the mole fractions of cationic, anionic, and neutral lipids in the vesicle membrane, it was possible to deduce the extent of fusion between the two oppositely-charged vesicle populations directly from the quadrupolar splitting. SUVs composed of DODAP + POPC + POPE (40/40/20) fused 100% with GUVs composed of POPC + CHOL + POPG (60/30/10). Removing POPE from the SUVs reduced the extent of fusion, as did reducing the POPG content of the GUVs.

Anions↗

Trehalose prevents myoglobin collapse and preserves its internal mobility.

A quantitative model, which involves diffusion on a temperature-dependent potential, is utilized to analyze the time-dependence of geminate CO recombination to sperm whale myoglobin in a trehalose glass and the accompanying spectral shifts. Most of the recombination is inhomogeneous. This is due to higher geminate reactivity rather than slower protein relaxation. A fraction of the hemes undergoes relaxation with a concomitant increase in the barrier height for recombination. The activation energy for conformational diffusion (relaxation) is considerably lower than in glycerol/water. "Protein collapse", manifested in glycerol/water by a decrease in the equilibrium conformational separation between the bound and deoxy states, is completely prevented in trehalose. We postulate that the high internal viscosity in glycerol/water is due to dehydration of the heme pocket. Trehalose prevents the escape of the few vital internal water molecules and thus preserves the internal lability of the protein. This might be important in understanding the ability of trehalose to protect against the adverse effects of dehydration.

Animals↗

1H magnetization transfer in hydrated gluten and flour: effects of wheat aging.

The interaction of water with flour or gluten in hydrated samples was investigated by proton magnetization transfer measurements. Flour and gluten from both durum and bread wheat seeds, either unaged or artificially aged over different periods of time, were investigated. Measurements were performed at several radio frequency power levels and frequency offsets, and the data were quantitatively modeled by two interacting pools, a liquid (water) and a solid (macromolecules) one. A super-Lorentzian line shape well described the magnetization of the solid pool. Magnetization transfer was found to be more efficient for flour with respect to gluten samples, in agreement with their hydrophilic/hydrophobic behavior. The aging treatment of seeds resulted in a minor degree of interaction between macromolecules and water.

Cellular Senescence↗

Heterologous protein expression affects the death kinetics of baculovirus-infected insect cell cultures: a quantitative study by use of n-target theory.

The death of cultured insect cells after baculovirus infection is a time-dependent event. Without a quantitative model, it is difficult to characterize its kinetics. Our group has shown that the cell survival rate can be characterized by use of the n-target theory, which involves only two parameters: the number of hypothetical inactivation targets (n) and the first-order death rate (k). In this study, we used different recombinant viruses to examine the effect of heterologous protein expression on the cell survival rate. The proteins expressed were beta-galactosidase, human T-cell leukemia virus type I p40x, human interleukin-2, and human tissue plasminogen activator (tPA). The survival rate was affected by protein expression, but the n value remained constant if the protein expression level was high (above 30 mg/L). Low-level expression of secreted, glycosylated tPA resulted in a reduced n value, which was restored to the normal value when the tPA signal peptide and prosequence were deleted. In addition, if the n value was normal (10-11), the level of protein expression correlated negatively with the death rate. However, if the n value was reduced by unfavorable culture conditions or foreign protein expression, the expression level correlated positively with the death rate. A dimensionless plot with kt as the dimensionless time shows that alteration of the k value while retaining constant n is equivalent to a rescaling of time. Therefore, the survival curves with constant n reduce to a single curve on the dimensionless plot.(ABSTRACT TRUNCATED AT 250 WORDS)

Animals↗

Effects of oxygen on recombinant protein expression.

Efforts to increase cell growth and protein yields need to be complemented by the maintenance of the quality of the protein produced. Elevated oxygen pressure or rapid increases in oxygen content can cause oxidative stress within the cells, leading to oxidation of specific proteins and nucleotide sequences. In addition, transient or steady-state anoxic conditions can cause limitations in amino acid production and plasmid stability. Major pathways and mechanisms of oxidative damage to proteins expressed in bacteria are reviewed. Damage to nucleic acids involved in gene expression also is considered. The methodologies for identifying oxidative damage to macromolecules are improving but are not yet adequate for on-line feedback. This limits our ability to integrate information about these phenomena and the cellular responses into a quantitative model. Enough information is available, however, to consider changes in the time profile of dissolved oxygen as a cause for poor process performance.

Amino Acids↗

Potential of enzymatic kinetic resolution using solid substrates suspension: improved yield, productivity, substrate concentration, and recovery

In the literature the enzymatic kinetic resolution of a suspension of a solid substrate has largely been treated as a conventional kinetic resolution of a fully dissolved substrate. In this paper it is shown that this type of kinetic resolution is different in several important aspects. Quantitative models are developed for two types of such suspension processes. These models are used to compare the merits of these processes with the conventional kinetic resolution process where fully dissolved substrate is used. In the suspension processes the liquid phase concentration of substrate enantiomer that should be converted can be kept close to the maximum value, i.e., the solubility, when process conditions are properly chosen, whereas in a conventional process this concentration gradually decreases. Calculations show that this leads to a productivity that is about 6-fold higher in the suspension processes. Also, for enzymes with a low enantioselectivity, a severalfold increase in yield of remaining enantiopure substrate is predicted compared to the conventional kinetic resolution of dissolved enantiomers. Other potential advantages of using suspension reactions are that the initial substrate concentration may be higher (up to 25% (w/w)) and that the desired remaining substrate may be recovered by simply filtering off the solid crystals. Experimental evidence that these merits can be exploited is only partly given, using the few available examples from the literature.

Journal Article↗

Combination of 2D-, 3D-connectivity and quantum chemical descriptors in QSPR. Complexation of alpha- and beta-cyclodextrin with benzene derivatives.

Quantitative models are found to describe the complexation of alpha- and beta-cyclodextrin with mono- and 1,4-disubstituted benzene derivatives by using combinations of 2D-, 3D-connectivity and quantum chemical molecular descriptors. The association constants (K(a)) for the inclusion complexation of cyclodextrins and benzene derivatives are calculated by the models found with a high degree of precision. These models also permit the interpretation of the driving forces of such complexation processes. In the case of the complexation of alpha-cyclodextrin with benzene derivatives these driving forces are mainly the electronic repulsion between frontier orbitals of the host and guest molecules. However, the complexation of beta-cyclodextrin with benzene derivatives is controlled by topological and topographic parameters indicating the relevance of the van der Waals and hydrophobic interactions. We also carried out molecular modeling studies showing that for alpha-cyclodextrin complexes the benzene ring is outside the cavity of the cyclodextrin, while in beta-cyclodextrin they penetrate deeply into the apolar and hydrophobic cavity of the host, which explain the differences in the driving forces for both complexation processes.

Journal Article↗

Prediction of aqueous solubility of organic compounds based on a 3D structure representation.

Two quantitative models for the prediction of aqueous solubility of 1293 organic compounds were developed by a Multilinear Regression (MLR) analysis and a Back-Propagation (BPG) neural network. The molecules were described by a set of 32 values of a Radial Distribution Function (RDF) code representing the 3D structure and eight additional descriptors. The 1293 compounds were divided into a training set of 797 compounds and a test set of 496 compounds based on a Kohonen self-organizing neural network map. The obtained models show a good predictive power: for the test set, a correlation coefficient of 0.96 and a standard deviation of 0.59 were achieved by the back-propagation neural network approach.

Journal Article↗