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.     

Time and force dependence of the rupture of glycoprotein IIb-IIIa-fibrinogen bonds between latex spheres

We studied the shear-induced breakup of doublets of aldehyde/sulfate (A/S) latex spheres covalently linked with purified platelet GPIIb-IIIa receptor, and cross-linked by fibrinogen. Flow cytometry with fluorescein isothiocyanate-fibrinogen showed than an average of 22,500 molecules of active GPIIb-IIIa were captured per sphere, with a mean K(d) = 56 nM for fibrinogen binding. The spheres, suspended in buffered 19% Ficoll 400 containing 120 or 240 pM fibrinogen, were subjected to Couette flow in a counter-rotating cone-plate rheoscope. Doublets, formed by two-body collisions at low shear rate (G = 8 s(-1)) for < or =15 min, were subjected to shear stress from 0.6 to 2.9 Nm(-2), their rotations recorded until they broke up or were lost to view. Although breakup was time dependent, occurring mostly in the first 2 rotations after the onset of shear, the percentage of doublets broken up after 10 rotations were almost independent of normal hydrodynamic force, F(n): at 240 pN, 15.6, 16.0, and 17.0% broke up in the force range 70-150 pN, 150-230 pN, and 230-310 pN. Unexpectedly, at both [fibrinogen], the initial rate of breakup was highest in the lowest force range, and computer simulation using a stochastic model of breakup was unable to simulate the time course of breakup. When pre-sheared at low G for >15 min, no doublets broke up within 10 rotations at 70 < F(n) < 310 pN; it required >3 min shear (>1110 rotations) at F(n) = 210 pN for significant breakup to occur. Other published work has shown that binding of fibrinogen to GPIIb-IIIa immobilized on plane surfaces exhibits an initial fast reversible process with relative low affinity succeeded by transformation of GPIIb-IIIa to a stable high-affinity complex. We postulate that most doublet breakups observed within 10 rotations were from a population of young doublets having low numbers of bonds, by dissociation of the initial receptor complex relatively unresponsive to force. The remaining, older doublets with GPIIb-IIIa in the high-affinity complex were not broken up in the time or range of forces studied.     

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.     

Temperature dependence of the partition coefficient of proteins in aqueous two-phase systems.

We report the partition coefficients of lysozyme, chymotrypsinogen-A, albumin and catalase in sixty four Polyethyleneglycol/Dextran/Water systems at 4, 25 and 40 degrees C. We found that the partition coefficients of the four proteins generally increase with increasing temperature. The influence of temperature on the partition coefficient seems to be highly dependent on the kind of protein which is partitioned and on the total polymer concentration, but does not, in general, depend on the molecular weight of the polymers. The partition coefficients of small and hydrophilic proteins like lysozyme and chymotrypsinogen-A are only slightly affected by changes in temperature, while the partition coefficients of bigger and more hydrophobic proteins like albumin and catalase are strongly affected by changes in temperature. The results suggest the incorporation of attractive forces (possible electrostatic) into a model previously reported by us.     

Pulsed field gradient nmr determination of the temperature dependence of the tracer diffusion coefficient of hemoglobin

We have studied the temperature dependence of the tracer diffusion coefficient of carbonmonoxy hemoglobin A (HbA-CO) by means of pulsed-field gradient nmr (PFG-nmr). Measurements were made over the temperature range from 15 to 35°C for samples having concentrations 7.4 and 16.7 g/dL. No significant deviations were found from the predictions of the Stokes-Einstein relation. Thus, this work does not corroborate the recently proposed conformational change in hemoglobin at 22°C. The advantages of PFG-nmr for the study of hemoglobin are discussed.     

Dynamic properties of concentrated suspensions of charged polystyrene spheres

Ordered structure formation of charged polystyrene spheres was studied by measuring the order-disorder phase diagrams as well as the mechanical properties. The phase diagrams indicate that the ordering of polystyrene spheres obeys Lindemann's law of crystal melting, in which the Lindemann's parameter is about 5%. The rigidity of about 10(3) dyn/cm(2) was observed in the ordered suspension of polystyrene spheres as measured by a torsional quartz crystal method. The steady flow properties of suspensions of polystyrene spheres showed a remarkable change from a Bingham body to a Newtonian liquid at the transition point. The limit of elasticity in the ordered phase was about 1 dyn/cm(2). The viscosity in the disordered phase was well explained by the free volume theory of liquids. It is concluded from these facts that the ordered phase of polystyrene spheres is a real "crystal" whereas the disordered phase is a "liquid". Properties of ordered structures in biological systems are also discussed.     

Anomalous temperature dependence of frictional coefficients: Diffusion and sedimentation measurement of low-density lipoproteins,albumin, and polystyrene latex

Using quasielastic light scattering, we have determined the diffusion coefficients of low-density lipoprotein (LDL) and polystyrene latex spheres over the temperature range of 293–318 K. The results show that after correction for thermal changes in the solvent, there remains a residual negative temperature coefficient in the diffusion amounting to about ?0.6%/K that is independent of the chemical type of complex. Confirmation of these results was obtained for LDL through sedimentation studies over a similar range of temperatures. The residual temperature coefficient was similar to that reported for oxyhemoglobin [W. B. Veldkamp and R. Votano (1980) Biopolymers 19 , 111–124] and greater than that found for bovine serum albumin by these and earlier workers. These observations show that the residual dependence on temperature is not an isolated phenomenon and could in part be explained by increased aggregation of particles, although this is not the primary cause of the effect.     

Lateral diffusion of membrane proteins in protein-rich membranes. A simple hard particle model for concentration dependence of the two-dimensional diffusion coefficient.

A model for the effect of protein concentration on the rate of lateral diffusion of integral membrane proteins is presented, in which the proteins are represented by equivalent hard circular particles on a surface. As the density of particles increases, the probability of finding a vacancy immediately adjacent to a tracer particle into which it may diffuse decreases, resulting in a concomitant reduction of the tracer diffusion coefficient. Using scaled particle theory to calculate the concentration-dependent probabilities, a simple approximate result is obtained in closed form, that is compared with the results of previously published Monte Carlo lattice simulations and experimental observations.     

A mechanism for the pinocytosis of latex spheres by tomato fruit protoplasts

Plant protoplasts isolated from tomato fruit locule tissue take up 0·12 polystyrene latex spheres by an endocytotic process. Freeze-etching enables the process to be clearly visualized in the electron microscope and provides important data from face view membrane fractures. When protoplasts are glutaraldehyde fixed prior to mixing with latex, the spheres adhere to the plasmalemma and cause some localized membrane distortion. This shows that adhesive forces are sufficient to initiate the invagination process. Freeze-etch membrane fracture faces carry numerous granules, the density of which is lower in the invaginating region. This reduction is in accordance with the expected value if only that part of the membrane which comes in intimate contact with the sphere expands to surround it. There is no change in the granule densities in the surrounding membrane. In fractured membrane surface views distinct phases can be delimited, and their relative occurrence indicates that the second half of the invagination process (i.e. after the diameter of the sphere has reached the membrane plane) is some thirty times quicker than the first half. It is proposed this indicates operation of surface tension forces during the fast phase, and it may be that cellular energy is required only for the initial slow phase of membrane expansion.     

Calculating the diffusion coefficient in the eye lens

An experimental investigation of the appearance of a cataract under intensive irradiation is carried out. On the basis of the results obtained a model is proposed of calculating the diffusion coefficient which can model the crystalline lens, its individual peculiarities being taken into account.     

Concentration dependence of proteoglycan diffusion

The mutual diffusion coefficient of the bovine nasal cartilage proteoglycan subunit is found to increase rapidly with increasing concentration and decreasing ionic strength. These results have been obtained by analysis of the boundary relaxation of concentration gradients in the analytical ultracentrifuge by schlieren optics. The diffusion behavior can be understood in terms of the nonideality of the proteoglycan. The magnitude of the nonideality is dominated by charge interactions, whereas the influence of molecular size and associated excluded-volume interactions is small. The concentration dependence of the apparent diffusion coefficient of the proteoglycan subunit from dynamic light scattering was found, in contrast, to decrease with increasing concentration. Computer simulation of the dynamic light scattering suggests that the presence of a small population of aggregates may account for the difference in the two types of diffusion measurement due to their marked influence on the scattering.     

Concentration-dependent diffusion coefficient and dissipative structures

A theoretical study of the Brusselator model with non-uniform distribution of component A and a concentration-dependent diffusion coefficient has been performed. Numerical simulation reveals that a variable diffusion coefficient alters the bifurcation pattern and the stability properties of the steady-state as well as periodic solutions. A simple approximate method, based on one-point collocation, has been proposed to analyze the bifurcation phenomena for the case of fixed boundary conditions and low system size.     

Cytoplasmic hydrogen ion diffusion coefficient.

The apparent cytoplasmic proton diffusion coefficient was measured using pH electrodes and samples of cytoplasm extracted from the giant neuron of a marine invertebrate. By suddenly changing the pH at one surface of the sample and recording the relaxation of pH within the sample, an apparent diffusion coefficient of 1.4 +/- 0.5 x 10(-6) cm2/s (N = 7) was measured in the acidic or neutral range of pH (6.0-7.2). This value is approximately 5x lower than the diffusion coefficient of the mobile pH buffers (approximately 8 x 10(-6) cm2/s) and approximately 68x lower than the diffusion coefficient of the hydronium ion (93 x 10(-6) cm2/s). A mobile pH buffer (approximately 15% of the buffering power) and an immobile buffer (approximately 85% of the buffering power) could quantitatively account for the results at acidic or neutral pH. At alkaline pH (8.2-8.6), the apparent proton diffusion coefficient increased to 4.1 +/- 0.8 x 10(-6) cm2/s (N = 7). This larger diffusion coefficient at alkaline pH could be explained quantitatively by the enhanced buffering power of the mobile amino acids. Under the conditions of these experiments, it is unlikely that hydroxide movement influences the apparent hydrogen ion diffusion coefficient.     

Temperature dependence of the functional response

The Arrhenius equation has emerged as the favoured model for describing the temperature dependence of consumption in predator-prey models. To examine the relevance of this equation, we undertook a meta-analysis of published relationships between functional response parameters and temperature. We show that, when plotted in lin-log space, temperature dependence of both attack rate and maximal ingestion rate exhibits a hump-shaped relationship and not a linear one as predicted by the Arrhenius equation. The relationship remains significantly downward concave even when data from temperatures above the peak of the hump are discarded. Temperature dependence is stronger for attack rate than for maximal ingestion rate, but the thermal optima are not different. We conclude that the use of the Arrhenius equation to describe consumption in predator-prey models requires the assumption that temperatures above thermal optima are unimportant for population and community dynamics, an assumption that is untenable given the available data.     

Fluorometric determination of polystyrene latex: application to the measurement of phagosomes and phagocytosis

Intrinsic fluorescence of polystyrene dissolved in organic solvents such as 1,2-dimethoxyethane was used to develop a sensitive method for the quantification of polystyrene latex beads. This method allows the assay of latex in the microgram range and is one order of magnitude more sensitive than the conventional spectrophotometric method. The fluorometric technique was used in the quantification of phagocytic latex particle uptake by macrophages and in the quantification of isolated phagosomal fractions.