Concentration dependence of protein diffusion.

The concentration dependence of protein self-diffusion constants is described by a free volume diffusion theory which accounts for the effects of local protein concentration fluctuations.     

Temperature dependence of binding of hyaluronate oligomer to bovine nasal proteoglycan

An ultrafiltration technique was used to study the temperature coefficient of the association constant K for 1:1 binding of proteoglycan to a hyaluronate oligosaccharide fraction containing an average of about 16 monosaccharide units. The proteoglycan was concentrated during the filtration experiment in order to provide minimal disturbance of the equilibrium in the retained solution. Analytical results calculated from assay of ³H-labeled hyaluronate in the filtrate fractions were extrapolated back to initial equilibrium cell conditions. At 10 °C values of K obtained in this way from ultrafiltration agreed within experimental error with those from equilibrium dialysis. Apparent K values obtained with both techniques tended to decrease somewhat with increasing proteoglycan concentration, due probably in part to excluded volume effects. Values of K obtained by ultrafiltration over the temperature range 5 to 40 °C were used to estimate the enthalpy of binding ΔH° as ?17.5 (±1.5) kcal mol^?1 and the entropy of binding ΔS° as ?50 (±5) cal K^?1 mol^?1 (based on a 1 μm standard state). The dilute solution value of K at 37 °C is sufficiently large to suggest that most of the proteoglycan monomers having a binding site are complexed under tissue conditions.     

Concentration dependence of equivalent conductivity of polyelectrolyte

Equivalent conductivity of aqueous solutions of alternating copolymer of iso-butyl vinyl ether and maleic acid, [poly(iso BVE-co-MA)] was studied, especially its polymer-concentration dependence. Various species of counterions such as quaternary ammoniumions (NMe4+, NEt4+, NPr4+, NBu4+) and divalent ions (Ca2+, Sr2+, Ba2+) were employed besides alkali metal ions. The applicability of Manning's conductivity theory was examined for the case of univalent counterions at various degrees of neutralization (beta). A major discrepancy against the theory was observed at beta = 1.0, while a comparatively good agreement was found at beta around 0.5. This suggests that the rod-like polyion model, which is the basis of the theory, is applicable near beta = 0.5, where polyions are most expanded. The low conductivities in the case of quaternary ammonium counterions suggested the ion-binding due to hydrophobic interaction with alkyl side chains. Molecular weight dependence was not appreciably observed near beta = 0.5 similarly to usual polyelectrolytes, but it appeared slightly at beta = 1.0.     

The temperature dependence of erythrocyte water diffusion permeability

1. The activation energy of the diffusion water exchange in red blood cells increases with temperature. 2. Fetal blood has a higher activation energy for diffusion water exchange than adult blood. 3. Treatment of red cells with p-chloromercuribenzoate alters the activation energy and apparently allows a lipid and a protein pore pathway to be resolved. The permeability and activation energy of the treated cells is in the range found for lipid membranes; and the difference between treated and untreated cells, the "protein" pathway, has a diffusion activation energy comparable with that of free water. 4. A resolution of the discrepancies between the NMR methods of measuring diffusion water exchange is suggested.     

Lateral diffusion in an archipelago. Distance dependence of the diffusion coefficient.

An understanding of the distance dependence of the lateral diffusion coefficient is useful in comparing the results of diffusion measurements made over different length scales, and in analyzing the kinetics of mobile redox carriers in organelles. A distance-dependent, concentration-dependent diffusion coefficient is defined, and it is evaluated by Monte Carlo calculations of a random walk by mobile point tracers in the presence of immobile obstacles on a triangular lattice, representing the diffusion of a lipid or a small protein in the presence of immobile membrane proteins. This work confirms and extends the milling crowd model of Eisinger, J., J. Flores, and W. P. Petersen (1986. Biophys J. 49:987-1001). Similar calculations for diffusion of mobile particles interacting by a hard-core repulsion yield the distance dependence of the self-diffusion coefficient. An expression for the range of short-range diffusion is obtained, and the distance scales for various diffusion measurements are summarized.     

Concentration dependence of variability in growth rates of microtubules

Growth and shortening of microtubules in the course of their polymerization and depolymerization have previously been observed to occur at variable rates. To gain insight into the meaning of this prominent variability, we studied the way in which its magnitude depends on the growth rate of experimentally observed and computer-simulated microtubules. The dynamic properties of plus-ended microtubules nucleated by pieces of Chlamydomonas flagellar axonemes were observed in real time by video-enhanced differential interference contrast light microscopy at differing tubulin concentrations. By means of a Monte Carlo algorithm, populations of microtubules were simulated that had similar growth and dynamic properties to the experimentally observed microtubules. By comparison of the experimentally observed and computer-simulated populations of microtubules, we found that 1) individual microtubules displayed an intrinsic variability that did not change as the rate of growth for a population increased, and 2) the variability was approximately fivefold greater than predicted by a simple model of subunit addition and loss. The model used to simulate microtubule growth has no provision for incorporation of lattice defects of any type, nor sophisticated geometry of the growing end. Thus, these as well as uncontrolled experimental variables were eliminated as causes for the prominent variability.     

Solvent dependence of the rotational diffusion of TOAC-spin-labeled alamethicin

Three derivatives of the hydrophobic, channel-forming peptaibiotic alamethicin (F50/5) have been synthesized, the original Aib residue at position 1, 8, or 16 being replaced with the spin-labeled amino acid TOAC (=2,2,6,6-tetramethylpiperidin-1-oxyl-4-amino-4-carboxylic acid). Electron-paramagnetic-resonance (EPR) spectroscopy was used to characterize the rotational diffusion of these compounds in five isotropic solvents of differing viscosity and polarity, including MeOH, EtOH, PrOH, i-PrOH, and hexanol (HxOH). In MeOH, the labeled alamethicins were found to rotate anisotropically as a monomer (axial ratio a/b=3). In aliphatic alcohols of increasing viscosity (and hydrophobicity), the rotational correlation times progressively increased. Even in HxOH, the (fivefold) increase in correlation time was no greater than the increase in viscosity. We conclude that TOAC-labeled alamethicins remain monomeric in these solvents of relatively high polarity.     

The concentration dependence of the hemoglobin mutual diffusion coefficient

Laser correlation Spectroscopy was used to measure the mutual diffusion coefficient, D, of human cyanomethemoglobin (Fe⁺⁺⁺:CN) at varying protein concentrations. These measurements were male at 20°C in a 0.1 M phosphate buffer solution at pH 7.0. For low protein concentrations we find D = (6.43 ± 0.26) × 10^?7 cm²/S and that there is a near linear decrease from this value at higher concentrations. The linear relation between the diffusion coefficient and protein concentration allows us to deduce the value of the linear frictional volume fraction coefficient, K_f= 7.75. and to extrapolate to hemoglobin concentrations equivalent to that in the red blood cell where we estimate D = 4.25 × 10^?7 cm²/s Various theoretical predictions of the dependence of the mutual diffusion coefficient on concentration are tested; we find that the generalized Stokes-Einstein relation can be made to fit our high concentration data if we assume a hard-sphere model and if we include a term involving a hydrodynamic interaction integral.     

The volume dependence of the erythrocyte water diffusion permeability

The product of the water diffusion permeability and the membrane area of a human erythrocyte has been found to be nearly independent of the cell volume. The product was measured by an NMR technique. This result conflicts with previous flow tube determinations but is in accord with recent measurements of the hydraulic permeability and various solute permeabilities. The results are consistent with the major part of the water fllux traversing the membrane through a fixed number of pores. There may also be a minor non-pore flux. It appears to be practicable to follow volume changes in the red blood cell by an NMR technique.     

Chain length and pressure dependence of lipid translational diffusion

The translational diffusion of pyrene, pyrene butyric acid and pyrene decanoic acid has been determined in phosphatidylcholine bilayers of different chain length and under pressure up to 200 bars. In the liquid crystalline phase and at a given temperature the diffusion decreases with increasing chain length. At a constant reduced temperature, T _red (about 10 K above the transition temperature), long chain lipids exhibit the fastest diffusion which is in disagreement with hydrodynamic models but favours free volume models for diffusion in lipid bilayers. The volume of activation, V _act, calculated from the decrease of the diffusion coefficient with pressure, ln D/P, depends on lipid chain length. V _act decreases with decreasing lipid chain length at a given temperature, T=65°C, and increases at the reduced temperature. These results are again in agreement with the dependence of the diffusion on lipid chain length and therefore with the free volume model.Abbreviations DLPC Dilauroylphosphatidylcholine - DMPC Dimyristoylphosphatidylcholine - DPPC Dipalmitoylphosphatidylcholine - DSPC Distearoylphosphatidylcholine - LUV Large unilamellar vesicles - SUV Small unilamellar vesicles - Tris Tris(hydroxymethyl)aminomethan     

A quasi-steady-state approximation method for diffusion problems: I. Concentration dependent diffusion coefficients

A generalization of Landahl's approximation method (H. D. Landahl,Bull. Math. Biophysics,15, 49–61, 1953) for non-linear diffusion problems is suggested. The method is applied to sorption, desorption, and free diffusion problems involving concentration-dependent diffusion coefficients. With some limitations, the results compare favorably with those obtained by numerical methods.     

Concentration dependence of IgG-protein A affinity studied by wireless-electrodeless QCM

The binding affinity between human immunoglobulin G (IgG) and protein A was studied by the homebuilt wireless-electrodeless quartz crystal microbalance (QCM). Protein A was immobilized on the electrodeless AT-cut quartz plate of 0.05 mm thick and its fundamental resonance frequency near 34 MHz was measured by a noncontacting manner using a line antenna. The vibrational analysis was performed to ensure higher sensitivity of the electrodeless QCM. A flow-cell system was fabricated to continuously measure the resonance frequency during the injection sequence of the IgG solutions with concentrations of 1-20,000 ng/mL. The exponential frequency changes were recorded to determine the affinity based on the Langmuir kinetics. The equilibrium constant K(A) significantly varied between 6 x 10(6) and 6 x 10(10) M(-1), depending on the IgG concentration, which is attributed to various formations of IgG-protein A complexes.     

On the mass dependence of diffusion within biological membranes and polymers

Summary A simple probability argument suggests that the diffusion coefficient for biological membranes (and polymers) should vary exponentially with the reciprocal of the molecular weight of the diffusant. A test of this relationship shows that it fits the experimental data at least as well as the empirical relation previously proposed. Since the present treatment has some theoretical justification, it would seem to be preferred.     

Concentration dependence of inductive activity in the mixture of lens epithelium proteins

As shown elsewhere, the mixture of proteins secreted by lens epithelium cells in the process of microcultivation can selectively induce eye and forebrain tissues in the early gastrula ectoderm (Zemchikhina et al., 2000, 2003). In the present work, the dependence of inductive activity of this protein mixture on its concentration in culture solution has been studied. The test-system was the early gastrula ectoderm of Xenopus laevis frogs. The results of the experiments revealed no direct dependence of the spectrum of induced tissues on the concentration of the protein mixture. At a concentration of 0.5 mg/ml, brain appeared being accompanied by retina, pigmented epithelium, and lentoids, while at 0.031 mg/ml a perfect lens developed along with brain, retina and pigmented epithelium. At 0.125 mg/ml not only brain with accompanying structures but also muscle fibers were equally differentiated. These data suggest a new approach to the problem of dependence of the character of induction on the concentration of inducing factors, and they enable us to suppose that this dependence is not realized as a simple concentration dependence but may de determined by some adaptive, yet not elucidation processes.     

Concentration dependence of the effect ofBacillus intermedius ribonuclease on the yeastSaccharomyces cerevisiae

Bacillus intermedius RNase added at a low concentration (0.001 μg/ml) stimulated yeast growth, while a high RNase concentration (1500 μg/ml) was inhibitory to yeast growth. The inhibitory effect of RNase was transient and correlated with the increase in the trehalose pool of yeast cells. The number of unbudded cells in the yeast population tended to decrease under the action of low concentrations of bacillar RNase and to increase under the action of high concentrations of this enzyme.     

Electro-optical properties of carboxymethylcellulose. I. Concentration and ionic strength dependence

The experimental conditions for studying the electro-optical properties of a natural, modified polyelectrolyte, carboxymethylcellulose (DS 1.3; DP 180) were determined. The transient Kerr effect was found to be a function of CMC concentration, field strength, and ionic strength, I. If the concentration and I were low enough (c < 20 mg.l^?1), saturation was obtained for field strengths of approximately 15 kV.cm^?1. The optical anisotropy was shown to be independent of I; the electrical anisotropy decreased sharply when I increased. These results are discussed in connection with polarization theories of polyelectrolytes. The molecular dimensions of carboxymethylcellulose, calculated from the birefringence kinetics, suggest that the molecule is a rigid rod.