Polymer depletion profiles around a sphere. denotes the volume fraction and represents the distance from the surface of the sphere. Depletion profiles for different plotted as a function of . In the direction of increasing , the different results correspond to , 0.1, 0.33, 1, 2, 10, and . The solid curves correspond to an extrapolation formula proposed in Ref. 52 which displays an extremely good fit to our data.
Depletion thickness (normalized by ) plotted as a function of .
(a) The effective polymer concentrations as a function of the protein volume fraction . ’s are the bulk polymer concentrations. The nondimensionalized protein size was fixed ; (b) The ratio for different bulk concentrations . The solid lines represent the results for while the dashed lines represent the results for (also indicated in the brackets of the legend).
Insertion free energies as a function of nondimensionalized protein sizes for different polymer concentrations .
Insertion free energies as a function of . Inset depicts the same results in a log-log scale.
Depletion-induced pair interaction potentials as a function of the surface to surface distance between the two proteins: (a) For protein size ; (b) for protein size . The bulk concentration is fixed at .
Comparison of pair potentials at different polymer concentrations . (a) Compares the results of the present work (solid symbols) with that of Tuinier et al. (Ref. 18) (open symbols) (b) compares the results of the present work (solid symbols) with that of Bolhuis et al. (Ref. 33) (open symbols) . (c) and (d) compares the results of the present work (solid symbols) with that of Louis et al. (Ref. 16) (open symbols).
(a) Contact potentials as a function of . Inset shows the same results plotted as the ratio as a function . (b) Range of the potential (nondimensionalized by the radius of the protein ) plotted as a function of the ratio .
Magnitudes of the depletion-induced contact potentials as a function of the bulk polymer concentration for different concentrations of the proteins . The solid lines represent the results for and the dashed lines for .
Normalized second virial coefficients as a function of protein concentration for protein sizes (a) ; (b) . denotes the bulk polymer concentration and the different plots in the increasing direction of the arrow corresponds to .
Normalized second virial coefficients (rescaled as ) as a function of the ratio of the radius of the proteins to the correlation length at the effective concentration. The inset presents a check of our empirical scaling suggestion by comparing our values (represented as a best fit line) with the numerical results of Bolhuis et al. (Ref. 33) for and 7.78 (represented as points).
Fluid-fluid coexistence curves: (a) based on the numerical formalism of this paper; (b) comparison to experimental data of Lynch et al. (Ref. 63) [reproduced from the Fig. 11(a) in their paper]. The solid lines represent the experimental data and the dashed lines represent the numerical results displayed in (a).
The phase behavior of protein-polymer mixtures at two different solvent qualities. The results on the dotted line corresponds to those displayed in Fig. 12. The solvent quality increases in the direction of the indicated arrow.
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