Diffusion of interacting Brownian particles

Felderhof, B. U.

doi:10.1088/0305-4470/11/5/022

Cited by 290 publications

(185 citation statements)

References 14 publications

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“…The slope of this line, A, contains information about interactions between protein molecules. Relationships between A and the potential of mean force (PMF) have been derived (Felderhof, 1978: Batchelor, 1983 Figure 4(a-c) shows that A becomes more negative as temperature decreases at fixed ionic strength, indicating increasing attractive interactions, as expected. , 1997: Muschol and Rosenberger, 1995: Eberstein et al, 1994.…”

Section: Infinite-dilution Hydrodynamic Radiimentioning

confidence: 62%

Diffusivities of Lysozyme in Aqueous MgCl₂ Solutions from Dynamic Light-Scattering Data: Effect of Protein and Salt Concentrations

2000

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Dynamic light-scattering (DLS) studies are reported for lysozyme in aqueous magnesium chloride solutions at ionic strengths 0.6, 0.8, and 1.0 M for a temperature range 10−30 °C at pH 4.0. The diffusion coefficient of lysozyme was calculated as a function of protein concentration, salt concentration, temperature, and scattering angle. A Zimm-plot analysis provided the infinitely-dilute diffusion coefficient and the protein-concentration dependence of the diffusion coefficient. The hydrodynamic radius of a lysozyme monomer was obtained from the Stokes−Einstein equation; it is 18.6 ± 1.0 Å. The difference (1.4 Å) between the hydrodynamic and the crystal-structure radius is attributed to binding of Mg2+ ions to the protein surface and subsequent water structuring. The effect of protein concentration on the diffusion coefficient indicates that attractive interactions increase as the temperature falls at fixed salt concentration. However, when plotted against ionic strength, attractive interactions exhibit a maximum at ionic strength 0.84 M, probably because Mg2+−protein binding and water structuring become increasingly important as the concentration of magnesium ion rises. The present work suggests that inclusion of ion binding and water structuring at the protein surface in a pair-potential model is needed to achieve accurate predictions of protein-solution phase behavior.

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Section: Infinite-dilution Hydrodynamic Radiimentioning

confidence: 62%

Diffusivities of Lysozyme in Aqueous MgCl₂ Solutions from Dynamic Light-Scattering Data: Effect of Protein and Salt Concentrations

2000

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“…Another theoretical approach was proposed by Phillies ( 12,13). He considered the hydrodynamic interactions in a manner, alternative to that of Felderhof and co-workers (5)(6)(7)(8)(9), which led to different results for the collective diffusion coefficient of hard spheres. This discrepancy, however, seems to be insignificant when suspensions of charged particles with low concentrations of electrolyte are considered (see Table I in Ref.…”

Section: (V(0) V(t))dt [12ds =3mentioning

confidence: 99%

Diffusion of charged colloidal particles at low volume fraction: Theoretical model and light scattering experiments

Petsev

Denkov

1992

Journal of Colloid and Interface Science

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An appropriate mean force potential was utilized in Felderhof's Theory to derive simple analytical expressions for the concentration dependence of the collective and short time self diffusion coefficients, as well as for the sedimentation velocity of charged spherical particles. It is demonstrated theoretically that the osmotic viriat and the Oseen hydrodynamic terms play a dominant role. To check the theoretical model, the dependence of the collective diffusion coefficient on the volume fraction of latex particles was experimentally studied. Dynamic light scattering was used at several different concentrations of electrolyte. It turns out that our experimental results, as well as the results of other authors, are in very good agreement with the proposed theoretical model. The results show that the increase of the electrolyte concentration leads to increase of the particle charge, but almost does not change the particle surface potential. A minimum in the dependence of the diffusion coefficient of a single particle on the ionic strength was also obtained.

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“…After a change of Integration variables eq. (3.5) takes the form 00 00 00 6) where the microscopic density field, with average n 0 = 7V/V, is given by…”

Section: Self-diffusionmentioning

confidence: 99%

“…we need to consider only two-body hydrodynamic interactions. Most theoretical treatments of properties of suspensions are restricted to this low-density regime*: the linear density corrections to the values at infinite dilution of D s and of the bulk-diffusion coefficient were calculated by Batchelor 3 ) and by Felderhof 6 ) and Jones 7 ) Batchelor used generahzed Einstein relations for these coefficients, while Felderhof and Jones based their analysis on a Fokker-Planck equation m the many-particle coordmate space Their results were equivalent For the case of bulk-diffusion the value of this first vinal coefficient has been confirmed by expenments 8 )…”

Section: Introductionmentioning

confidence: 99%

Self-diffusion of spheres in a concentrated suspension

Beenakker¹,

Mazur²

1983

Physica A: Statistical Mechanics and its Applications

194

131

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Diffusion of interacting Brownian particles

Cited by 290 publications

References 14 publications

Diffusivities of Lysozyme in Aqueous MgCl₂ Solutions from Dynamic Light-Scattering Data: Effect of Protein and Salt Concentrations

Diffusivities of Lysozyme in Aqueous MgCl₂ Solutions from Dynamic Light-Scattering Data: Effect of Protein and Salt Concentrations

Diffusion of charged colloidal particles at low volume fraction: Theoretical model and light scattering experiments

Self-diffusion of spheres in a concentrated suspension

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Diffusion of interacting Brownian particles

Cited by 290 publications

References 14 publications

Diffusivities of Lysozyme in Aqueous MgCl2 Solutions from Dynamic Light-Scattering Data: Effect of Protein and Salt Concentrations

Diffusivities of Lysozyme in Aqueous MgCl2 Solutions from Dynamic Light-Scattering Data: Effect of Protein and Salt Concentrations

Diffusion of charged colloidal particles at low volume fraction: Theoretical model and light scattering experiments

Self-diffusion of spheres in a concentrated suspension

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Product

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Diffusivities of Lysozyme in Aqueous MgCl₂ Solutions from Dynamic Light-Scattering Data: Effect of Protein and Salt Concentrations

Diffusivities of Lysozyme in Aqueous MgCl₂ Solutions from Dynamic Light-Scattering Data: Effect of Protein and Salt Concentrations