The first multicomponent diffusion data ever determined in protein−polymer systems are
presented for the system lysozyme(1)−PEG 400(2)−water. Although there are no specific interactions
between protein and polymer, the cross-term diffusion coefficient D
21, that links the PEG flow to the
protein concentration gradient, is up to 35 times the main-term diffusion coefficient of the protein. This
observation can only be due to a “crowding effect” and not to specific interactions, such as electrostatic
ones. The exclusion effect is also qualitatively confirmed by the measured counter-flow associated with
the protein motion. On the base of a hard core potential, our recent predictive equations are used to
predict diffusion coefficients in this ternary system, and a good agreement with the experimental D
21 is
obtained. The PEG concentration dependence of the main-term diffusion coefficient of the protein cannot
be interpreted exclusively by the excluded volume effect. Some dielectric effect or aggregation phenomena
must be invoked to completely describe diffusive behavior in protein−PEG systems. A strong dielectric
constant decrease and an anomalous pH dependence on PEG concentration in this system have been
observed. We have extended to this nonelectrolyte system a recent procedure for extracting thermodynamic
data from ternary diffusion coefficients that uses the Onsager reciprocal relations and the coupling of D
ij
and second virial coefficient data. Thus we obtained the change of the lysozyme chemical potential with
increasing PEG concentration. We emphasize that it is incorrect to neglect the nonideality of PEG−water systems, as was done in some previous preferential solvation analyses.
The diffusion coefficients of the ternary system pentaethylene glycol−triethylene glycol−water have been
measured at five compositions at constant total solute concentration. A theory that is an extension of the
current hydrodynamic equations for calculation of Dij
has been tested on this ternary system. These equations
use values of what we will refer as the “effective” volumes of the solutes. These volumes were obtained by
the analysis of the diffusion coefficients of the two corresponding binary systems. The agreement between
theory and the experimental values for the main-term diffusion coefficients Dii
is quite good and the agreement
between the predicted and measured cross-term diffusion coefficients Dij
(i ≠ j) is very encouraging. The
solute−solute nonbonding interactions seem not to have a significant effect on the diffusion coefficients in
our experimental conditions.
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