Characterizing Protein-Protein Interactions and Viscosity of a Monoclonal Antibody from Low to High Concentration Using Small-Angle X-ray Scattering and Molecular Dynamics Simulations

Growth of Clusters toward Liquid-Liquid Phase Separation of Monoclonal Antibodies as Characterized by Small-Angle X-ray Scattering and Molecular Dynamics Simulation

In concentrated protein solutions, short-range attractions (SRAs) contribute to liquid-liquid phase separation (LLPS) as a function of temperature and salinity, particularly when the charge and thus long-range repulsions are low near the isoelectric point pI. Herein, we study how SRA and solution morphology vary with the approach to LLPS from increased SRA for two monoclonal antibodies (mAbs) as salt concentration is reduced near the pI. These properties are quantified using small-angle X-ray scattering (SAXS) interpreted via coarse-grained (CG) molecular dynamics (MD) simulations and compared with less descriptive properties from static and dynamic light scattering. Experimental structure factors are fit with a library of MD simulations for a CG 12-bead mAb model to determine the SRA strength (K) and cluster size distributions. Proximity to LLPS and clustering characteristics in mAb solutions are impacted by both net charge, which are modified by pH, and the strength of anisotropic electrostatic SRA (charge-charge, charge-dipole, hydrogen bonding, etc.), which are screened and weakened by added salts. The trends in LLPS are consistent with the reduced diffusion interaction parameter kD/B22ex for dilute solutions. However, greater insight is provided with SAXS along with CG-MD simulations; in particular, the growth of clusters is observed with the approach to LLPS with decreasing salinity over a wide range of concentrations.

Extracting Orientation and Distance-Dependent Interaction Potentials between Proteins in Solutions Using Small-Angle X-ray/Neutron Scattering

Nonspecific protein-protein interactions (PPIs) are key to understanding the behavior of proteins in solutions. However, experimentally measuring anisotropic PPIs as a function of orientation and distance has been challenging. Here, we propose to measure a new parameter, the generalized second virial coefficient, B22(Q), to address this challenge. B22(Q) can be measured by using small-angle X-ray/neutron scattering (SAXS/SANS) at finite Q values, where Q is the magnitude of the scattering wave vector. We develop the analytical theory here to calculate B22(Q) with any known interprotein potentials including anisotropic interaction potentials. This method overcomes the challenges and limitations of commonly used methods for extracting PPI information, namely, using integral approximations to solve the Ornstein-Zernike equation by fitting SAXS/SANS data. The accuracy of this analytical theory is further evaluated with computer simulations using a model system. Not only can our method greatly extend the capability of SAXS/SANS to investigate PPIs of many proteins, but it is also applicable to a wide variety of colloidal systems where anisotropic interaction potentials are important.

Flow Activation Energy of High-Concentration Monoclonal Antibody Solutions and Protein-Protein Interactions Influenced by NaCl and Sucrose

The solution viscosity and protein-protein interactions (PPIs) as a function of temperature (4-40 °C) were measured at a series of protein concentrations for a monoclonal antibody (mAb) with different formulation conditions, which include NaCl and sucrose. The flow activation energy (Eη) was extracted from the temperature dependence of solution viscosity using the Arrhenius equation. PPIs were quantified via the protein diffusion interaction parameter (kD) measured by dynamic light scattering, together with the osmotic second virial coefficient and the structure factor obtained through small-angle X-ray scattering. Both viscosity and PPIs were found to vary with the formulation conditions. Adding NaCl introduces an attractive interaction but leads to a significant reduction in the viscosity. However, adding sucrose enhances an overall repulsive effect and leads to a slight decrease in viscosity. Thus, the averaged (attractive or repulsive) PPI information is not a good indicator of viscosity at high protein concentrations for the mAb studied here. Instead, a correlation based on the temperature dependence of viscosity (i.e., Eη) and the temperature sensitivity in PPIs was observed for this specific mAb. When kD is more sensitive to the temperature variation, it corresponds to a larger value of Eη and thus a higher viscosity in concentrated protein solutions. When kD is less sensitive to temperature change, it corresponds to a smaller value of Eη and thus a lower viscosity at high protein concentrations. Rather than the absolute value of PPIs at a given temperature, our results show that the temperature sensitivity of PPIs may be a more useful metric for predicting issues with high viscosity of concentrated solutions. In addition, we also demonstrate that caution is required in choosing a proper protein concentration range to extract kD. In some excipient conditions studied here, the appropriate protein concentration range needs to be less than 4 mg/mL, remarkably lower than the typical concentration range used in the literature.

Combining Scattering Experiments and Colloid Theory to Characterize Charge Effects in Concentrated Antibody Solutions

Charges and their contribution to protein-protein interactions are essential for the key structural and dynamic properties of monoclonal antibody (mAb) solutions. In fact, they influence the apparent molecular weight, the static structure factor, the collective diffusion coefficient, or the relative viscosity, and their concentration dependence. Further, charges play an important role in the colloidal stability of mAbs. There exist standard experimental tools to characterize mAb net charges, such as the measurement of the electrophoretic mobility, the second virial coefficient, or the diffusion interaction parameter. However, the resulting values are difficult to directly relate to the actual overall net charge of the antibody and to theoretical predictions based on its known molecular structure. Here, we report the results of a systematic investigation of the solution properties of a charged IgG1 mAb as a function of concentration and ionic strength using a combination of electrophoretic measurements, static and dynamic light scattering, small-angle X-ray scattering, and tracer particle-based microrheology. We analyze and interpret the experimental results using established colloid theory and coarse-grained computer simulations. We discuss the potential and limits of colloidal models for the description of the interaction effects of charged mAbs, in particular pointing out the importance of incorporating shape and charge anisotropy when attempting to predict structural and dynamic solution properties at high concentrations.