Comparison of slow-tumbling ESR theories for completely asymmetric hyperfine centers undergoing orientational diffusion.
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Results for “diffusion theory”
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Diffusion of Brownian particles trapped between two walls: Theory and dynamic-light-scattering measurements.
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Mean-field theory of the morphology transition in stochastic diffusion-limited growth.
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Microscopic theory of impurity-defect reactions and impurity diffusion in silicon.
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An accurate diffusion method for determining bacterial sensitivity to antibiotics.
A simple method for accurately determining bacterial sensitivity to antibiotics is proposed. Based on the theory of the disc diffusion test, it consists of calculating a continuous variable corresponding to the antibiotic concentration in the agar at the edge of the inhibition zone, the Inhibitory Concentration in Diffusion (ICD). Three aminoglycosides were tested, each against 70-77 strains of Enterobacteriaceae, Staphylococcus aureus and enterococci. For each strain, the ICD was calculated from the size of zones of inhibition with eight to nine differently charged paper discs. Concurrently, the MICs were determined by an agar dilution method. Comparison of the MICs with the ICDs showed that the two measures were identical for the three antibiotics studied. Furthermore, the results of reproducibility assays for the ICDs proved to be better than for the MICs. The ICD could be approximated with two discs, but was more accurately determined with three. Besides its reliability, this method offers the advantage of avoiding the laborious construction of the regression curve for an antibiotic which is usually necessary for the standard diffusion method.
Anti-Bacterial Agents↗
Optical scattering, absorption, and polarization of healthy and neovascularized human retinal tissues.
The optical scattering, absorption, and polarization properties of human retinal tissues are investigated for a number of laser wavelengths in the visible range. The indices of refraction of these tissues are determined by applying Brewster's law. The inverse adding doubling method based on the diffusion approximation and radiative transport theory is applied to the measured values of total diffuse transmission, total diffuse reflection, and index of refraction to determine the optical absorption, scattering, and scattering anisotropy coefficients of the intact retinal tissues from healthy and diseased (neovascularized) human eyes. The polarization studies show that the retinal tissues possess significant intrinsic polarization characteristics, that are more pronounced in diseased tissues than in healthy tissues.
Absorption↗
The life cycle of an innovation: adoption versus discontinuation of the fluoride mouth rinse program in schools.
Reasons for adoption and for discontinuation of a dental caries prevention innovation (the fluoride mouth rinse program) are examined by using recent theory on decision processes within organizations. Greer's (1977) analysis of three theoretical approaches for the study of innovation adoption--classical, organizational, and political--are used as an organizing framework to analyze these two parts of an overall life cycle for innovations. The results from both descriptive and multivariate analyses support the relevance of "political" and "classical" diffusion models for both adoption and discontinuation. Organizational structure variables--e.g., demographic indicators, administrative structures, and financial measures--show little explanatory strength for either outcome. Both outcomes seem to be dominated by "political" influences from strong interpersonal communications rather than by formal decision-making processes. The results suggest that political contingency theories may explain the processes by which organizations adopt and discontinue innovations, whereas classical diffusion theory explains the content of these processes.
Dental Caries↗
Adsorption, diffusion, and dissociation of molecular oxygen at defected TiO2(110): a density functional theory study.
The properties of reduced rutile TiO2(110) surfaces, as well as the adsorption, diffusion, and dissociation of molecular oxygen are investigated by means of density functional theory. The O2 molecule is found to bind strongly to bridging oxygen vacancies, attaining a molecular state with an expanded O-O bond of 1.44 A. The molecular oxygen also binds (with somewhat shortened bond lengths) to the fivefold coordinated Ti atoms in the troughs between the bridging oxygen rows, but only when vacancies are present somewhere in the surface. In all cases, the magnetic moment of O2 is lost upon adsorption. The expanded bond lengths reveal together with inspection of electron density and electronic density of state plots that charging of the adsorbed molecular oxygen is of key importance in forming the adsorption bond. The processes of O2 diffusion from a vacancy to a trough and O2 dissociation at a vacancy are both hindered by relative large barriers. However, we find that the presence of neighboring vacancies can strongly affect the ability of O2 to dissociate. The implications of this in connection with diffusion of the bridging oxygen vacancies are discussed.
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Effects of lateral diffusion on the fluorescence anisotropy in hexagonal lipid phases. I. Theory.
It is shown that fluorescence anisotropy from lipidlike probes in the hexagonal HII phase gives information of (a) orientational order parameters, (b) the wobbling diffusion constant, and (c) the hopping diffusion constant of the probe, DH, equals DL/R2, the lateral diffusion constant over the square of the radius of the hexagonal tubes. Here we consider only lipidlike probes having the absorption transition movement and/or the emission transition moment along the long axis of the molecule. Three models are introduced for analysis of time-resolved data: the "WOBHOP," the "reduced WOBHOP," and the "P2P4HOP" model. The fluorescence anisotropy in response to a very short excitation pulse in each of the three models is a constant plus a number of exponentials. The WOBHOP and reduced WOBHOP models have 3 and 2 exponentials, respectively, and both contain four fitting parameters: r0 (the fundamental anisotropy), (P2) (the second rank orientational order parameter), DW (the wobbling diffusion constant), and DH (the hopping diffusion constant). The P2P4HOP model has eight exponentials and five fitting parameters: the four parameters listed above and (P4) (the fourth rank orientational order parameter). Analysis of fluorescence anisotropy data in the hexagonal HII phase using one of these models allows for obtaining the hopping diffusion constant, and, if the lateral diffusion constant is known, the radius of the hexagonal tubes. Substitution of DH = 0 in each of the three models yields an expression for the fluorescence anisotropy that is used in the literature for lamellar (L alpha or L beta) phases. The fluorescence anisotropy in coexisting L alpha/HII phases is discussed.
Diffusion↗
Fluorescence anisotropy decay demonstrates calcium-dependent shape changes in photo-cross-linked calmodulin.
We report dynamic fluorescence anisotropy measurements on the purified dityrosine derivative of calmodulin which was generated during UV irradiation of Ca2+-containing solutions of bovine brain calmodulin [Malencik, D. A., & Anderson, S. R. (1987) Biochemistry 26, 695]. Measurements were made by using a high repetition rate picosecond laser source combined with a microchannel plate photomultiplier. This permits the collection of very low noise anisotropy curves with essentially no convolution artifact. Measured anisotropies at high calcium concentrations are monoexponential, and at 20 degrees C, we recover a correlation time of 9.9 ns. When the temperature is varied from 4.8 to 31.8 degrees C, the recovered correlation time is proportional to the viscosity and inversely proportional to the absolute temperature, behavior expected for the rotational diffusion of a macromolecule whose conformation is independent of the temperature. The correlation time is compared to the theory describing the rotational diffusion of a dumbell. At high calcium concentrations, the cross-linked calmodulin is elongated and has a length equal or nearly equal to that predicted by X-ray crystallographic results. In the absence of calcium, the molecule becomes highly compact and exhibits significant segmental motion. Intermediate calcium ion concentrations result in an intermediate degree of elongation and segmental motion. A small increase in the measured rotational correlation time of calmodulin upon the binding of melittin and mastoparan indicates that these peptides cause no major changes in the elongation of the molecule. When the cross-linked calmodulin is bound to troponin I, the complex rotates as a unit with a single rotational correlation time of 22 ns.
Animals↗
Diffusion of calcium ions in retinal rods. A theoretical calculation.
The Fick diffusion equation is combined with the Langmuir adsorption isotherm and the relevant equations from the Gouy-Chapman theory of the electrical diffuse double layer to demonstrate that the effective diffusion coefficient of calcium ions, both in the cytoplasm of the rod outer segment and within the aqueous space bounded by the disk membrane, should be reduced by a factor of 10-100 because these ions adsorb to phospholipids present in the disk membrane.
Calcium↗
On the Earnshaw and the Van den Tempel-Lucassen Compositional Viscoelastic Theories.
We consider a diffusion-controlled solute transfer and discuss the reasons to study the complete convective-diffusive equation to determine the coupling resonant domain between capillary and longitudinal waves in terms of viscoelastic compositional behavior. A perturbation of the surface tension due to solute transfer has two contributions. One is proportional to the surface area change while the other, not considered in the Van den Tempel-Lucassen theory, is due to the surface velocity. Copyright 2000 Academic Press.
Journal Article↗
Elementary kinematical model of thermal diffusion in liquids and gases.
An elementary hydrodynamic and Brownian motion model of the thermal diffusivity D(T) of a restricted class of binary liquid mixtures, previously proposed by the author, is given a more transparent derivation than originally, exposing thereby the strictly kinematic-hydrodynamic nature of an important class of thermodiffusion separation phenomena. Moreover, it is argued that the solvent's thermometric diffusivity alpha appearing in that theory as one of the two fundamental parameters governing D(T) should be replaced by the solvent's (isothermal) self-diffusivity D(S). In addition, a corrective multiplier of O(1) is inserted to reflect the general physicochemical noninertness of the solute relative to the solvent, thus enhancing the applicability of the resulting formula D(T)=lambdaD(S)beta to "nonideal" solutions. Here, beta is the solvent's thermal expansivity and lambda is a term of O(1), insensitive to the physicochemical nature of the solute (thus rendering D(T) primarily dependent upon only the properties of the solvent). This formula is, on the basis of its derivation, presumably valid only under certain idealized, albeit well-defined, circumstances. This occurs when the solute molecules are: (i) large compared with those of the solvent; and (ii) present only in small proportions relative to those of the solvent. When the solute is physicochemically inert, it is expected that lambda=1. When these conditions are met, the resulting thermal diffusivity of the mixture is, in theory, independent of any and all properties of the solute. Moreover, because beta is algebraically signed, the thermal diffusivity can either by positive or negative, according as the solvent expands or contracts upon being heated. This formula for D(T) is compared with available experimental data for selected binary liquid mixtures. Reasonable agreement is found in almost all circumstances with lambda near unity, the more so the higher the temperature, especially when the solute-solvent mixture properties closely approximate those where agreement would be expected and conversely. Finally, it is pointed out that for the restricted circumstances described, the formula D(T)=lambdaD(S)beta is equally credible for gases. Here, based on gas-kinetic theory, it is possible to furnish the theoretical value of lambda. Overall, while spanning a range of about five orders of magnitude, the D(T) values given by this elementary formula are shown to apply with reasonable accuracy to: (i) liquids (including circumstances for which D(T) is negative) as well as gases; (ii) all combinations of solvents and solutes tested (the latter including, for example, polymer molecules and metallic colloidal particles); and (iii) all sizes of solute molecules, from angstroms to submicron.
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Radially softening diffusive motions in a globular protein.
Molecular dynamics simulation, quasielastic neutron scattering and analytical theory are combined to characterize diffusive motions in a hydrated protein, C-phycocyanin. The simulation-derived scattering function is in approximate agreement with experiment and is decomposed to determine the essential contributions. It is found that the geometry of the atomic motions can be modeled as diffusion in spheres with a distribution of radii. The time dependence of the dynamics follows stretched exponential behavior, reflecting a distribution of relaxation times. The average side chain and backbone dynamics are quantified and compared. The dynamical parameters are shown to present a smooth variation with distance from the core of the protein. Moving outward from the center of the protein there is a progressive increase of the mean sphere size, accompanied by a narrowing and shifting to shorter times of the relaxation time distribution. This smooth, "radially softening" dynamics may have important consequences for protein function. It also raises the possibility that the dynamical or "glass" transition with temperature observed experimentally in proteins might be depth dependent, involving, as the temperature decreases, progressive freezing out of the anharmonic dynamics with increasing distance from the center of the protein.
Computer Simulation↗
Optical characterization of bovine retinal tissues.
An in-depth characterization of the optical properties of bovine retinal and retinal pigment epithelium-choroidal tissues has been performed. The indices of refraction of these ocular tissues were determined by applying Brewster's law. The inverse adding doubling method based on the diffusion approximation and radiative transport theory is applied to the measured values of the total diffuse transmission, total diffuse reflection, and collimated transmission to calculate the optical absorption, scattering, and scattering anisotropy coefficients of the bovine retinal and retinal pigment epithelium-choroidal tissues. The values of the optical properties obtained from the inverse adding doubling method are compared with those generated by the Monte Carlo simulation technique. Optical polarization measurements are also performed on bovine retinal tissues. Our studies show that both retina and retinal pigment epithelium-choroid possess strong polarization characteristics.
Animals↗
Cumulant dynamics of a population under multiplicative selection, mutation, and drift.
We revisit the classical population genetics model of a population evolving under multiplicative selection, mutation, and drift. The number of beneficial alleles in a multilocus system can be considered a trait under exponential selection. Equations of motion are derived for the cumulants of the trait distribution in the diffusion limit and under the assumption of linkage equilibrium. Because of the additive nature of cumulants, this reduces to the problem of determining equations of motion for the expected allele distribution cumulants at each locus. The cumulant equations form an infinite dimensional linear system and in an authored appendix Adam Prügel-Bennett provides a closed form expression for these equations. We derive approximate solutions which are shown to describe the dynamics well for a broad range of parameters. In particular, we introduce two approximate analytical solutions: (1) Perturbation theory is used to solve the dynamics for weak selection and arbitrary mutation rate. The resulting expansion for the system's eigenvalues reduces to the known diffusion theory results for the limiting cases with either mutation or selection absent. (2) For low mutation rates we observe a separation of time-scales between the slowest mode and the rest which allows us to develop an approximate analytical solution for the dominant slow mode. The solution is consistent with the perturbation theory result and provides a good approximation for much stronger selection intensities.
Alleles↗
Interaction of gentamicin and spermine with bilayer membranes containing negatively charged phospholipids.
We measured the electrophoretic mobility of multilamellar phospholipid vesicles, the 31P NMR spectra of both sonicated and multilamellar vesicles, and the conductance of planar bilayer membranes to study the binding of spermine and gentamicin to membranes. Spermine and gentamicin do not bind significantly to the zwitterionic lipid phosphatidylcholine. We measured the concentrations of gentamicin and spermine that reverse the charge on vesicles formed from a mixture of phosphatidylcholine and either phosphatidylserine or phosphatidylinositol. From these measurements, we determined that the intrinsic association constants of the cations with these negative lipids are all about 10 M-1. This value is orders of magnitude lower than the apparent binding constants reported in the literature by other groups because the negative electrostatic surface potential of the membranes and the resultant accumulation of these cations in the aqueous diffuse double layer adjacent to the membranes have not been explicitly considered in previous studies. Our main conclusion is that the Gouy-Chapman-Stern theory of the aqueous diffuse double layer can describe surprisingly well the interaction of gentamicin and spermine with bilayer membranes formed in a 0.1 M NaCl solution if the negative phospholipids constitute less than 50% of the membrane. Thus, the theory should be useful for describing the interactions of these cations with the bilayer component of biological membranes, which typically contain less than 50% negative lipids. For example, our results support the suggestion of Sastrasinh et al. [Sastrasinh, M., Krauss, T. C., Weinberg, J. M., & Humes, H. D. (1982) J. Pharmacol. Exp. Ther. 222, 350-358] that phosphatidylinositol is the major binding site for gentamicin in renal brush border membranes.
Electric Conductivity↗
Flow field-flow fractionation: new method for separating, purifying, and characterizing the diffusivity of viruses.
The nature and theory of flow field-flow fractionation is described, and its potential applicability to virus-like particles is discussed. Different virus types are shown to be retained at different levels. Retention can be controlled by variation of the experimental parameters, in good agreement with theory. However, a mild adsorption effect is indicated and requires the development of alternate strategies for measuring diffusion coefficients. For Qbeta, our value agrees well within 10% of literature values; the values obtained for other viruses, using Abeta as an internal standard, are untested. Finally, it is demonstrated that flow field-flow fractionation can cleanly fractionate two viruses from one another and from an albumin impurity, that samples as large as several milligrams in size can be analyzed, and that the method has potential utility in the quantitative and qualitative analysis of virus systems.
Albumins↗