Influence of the structural properties of poly(vinylidene fluoride) membranes on the heterogeneous nucleation rate of protein crystals.

In this study, the influence of the morphological parameters of microporous poly(vinylidene fluoride) (PVDF) membranes on the heterogeneous nucleation rate of hen egg white lysozyme (HEWL) crystals has been investigated. Experiments have been carried out on membranes prepared by non-solvent-induced phase inversion method, using PVDF-co-hexafluoropropylene (Kynarflex 2800) and PVDF homopolymer (Kinar 460), and adding LiCl and poly(vinylpyrrolidone) (PVP) in order to modulate the pore structure. From a theoretical point of view, the free Gibbs energy balance for the formation of a critical nucleus has been adapted to nonporous surfaces, thus obtaining a mathematical correlation between the energy nucleation barrier, the membrane porosity, and the contact angle between protein solution and polymeric substrate. The energetic barrier to heterogeneous nucleation was found to increase at higher contact angles-according to the prediction of classical theory-and to decrease at higher porosity. For instance, the predicted deltaG(het)/deltaG(hom) ratio for PVDF-Kynarflex (PVP 2.5%) membrane with porosity of 0.11 was 0.30, 35% lower with respect to the value calculated by the Volmer equation for a dense polymeric matrix having the same contact angle (87.4 +/- 5.8 degrees). In addition, the effect of the membrane pore size, porosity, and thickness on the removal rate of solvent have been discussed. For example, the transmembrane flux through PVDF-Kynar (LiCl 5.0%) membrane was 12% inferior than the one measured under the same experimental conditions through PVDF-Kynarflex (LiCl 7.5%) membrane, the latter having similar pore size and thickness but higher porosity (0.44 vs 0.32). The possibility to achieve rapidly a high level of supersaturation is expected to increase the nucleation rate. In general, measurements performed during crystallization tests carried out at pH 4.5 in NaAc 0.05 M buffer with different precipitant (NaCl) concentrations agree with the predicted trends.