Skip to main content
Log in

AUC measurements of diffusion coefficients of monoclonal antibodies in the presence of human serum proteins

  • Original Article
  • Published:
European Biophysics Journal Aims and scope Submit manuscript

Abstract

The goal of this work is to develop a preclinical method for quantitative hydrodynamic and thermodynamic analysis of therapeutic proteins in crowded environments like human serum. The method utilizes tracer amounts of fluorescently labeled monoclonal antibodies and the Aviv AU-FDS optical system. We have performed sedimentation velocity experiments as a function of mAb, human serum albumin and human IgG concentration to extract self- and cross-term hydrodynamic nonideality effects. SV measurements are consistently complicated by weak mAb–mAb and mAb–IgG interactions (Wright et al. in Anal Biochem 550:72–83, 2018). In an attempt to explore different approaches we have investigated measurements of diffusion coefficients by traditional synthetic boundary experiments. Here we present a new technique incorporated into SEDANAL that can globally analyze the full time course of synthetic boundary experiments. This approach also utilizes F-mAb against a high concentration of unlabeled carrier protein (HSA or IgG). In principle both diffusion and sedimentation coefficient information can be extracted including hydrodynamic and thermodynamic nonideality. The method can be performed at a traditional low speed (5–7K rpm) or at high speeds. The high speed method can also be used to measure D and s for small molecules like fluorescein (often contaminants of F-HSA and F-mAb). The advantage of synthetic boundary over the standard sedimentation velocity method is that it allows for higher precision determination of diffusion coefficients. The concentration dependence of D can be corrected for hydrodynamic nonideality effects by plotting D * (1 + kijcj) vs total carrier concentration. The slope of the fitted data allows an alternate approach to determine self- and cross-term thermodynamic nonideality. This method can also explore cross-term diffusion coefficient effects. These results are compared to dynamic light scattering approaches which are limited to kD determinations for solutions of pure protein.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  • Ahamed T, Esteban BN, Thőmmes J (2007) Phase behavior of an intact monoclonal antibody. Biophys J 93:610–619

    Article  CAS  Google Scholar 

  • Baldwin RL, Dunlop PJ, Gosting LJ (1955) Interacting flows in liquid diffusion: equations for evaluation diffusion coefficients from moments of the refractive index gradient curves. JACS 77:5235–5238

    Article  CAS  Google Scholar 

  • Batchelor GK (1972) Sedimentation in a dilute dispersion of spheres. J Fluid Mech 52:245–268

    Article  Google Scholar 

  • Cantor CR, Schimmel PR (1980) Biophysical Chemistry, chapter 10-3. WH Freeman and Company, New York

    Google Scholar 

  • Claverie JM (1976) Sedimentation of generalized systems of interacting particles. III Concentration-dependent sedimentation and extension to other transport methods. Biopolymers 15:843–857

    Article  CAS  Google Scholar 

  • Colfen H, Harding SE (1995) A study of Schieren patterns derived with the Beckman optima XL-A UV-absorbance optics. Prog Colloid Polym Sci 99:167–186

    Article  Google Scholar 

  • Comper WD, Preston BN (1992) The analytical ultracentrifuge as a tool for diffusion measurements. Cross diffusion effects in ternary polymer: polymer:solvent systems. In: Harding SE, Rose AJ, Horton JC (eds) Analytical ultracentrifugation in biochemistry and polymer sciences. Royal Society of Chemistry, pp 428–442

  • Correia JJ, Stafford WF (2015) Sedimentation velocity: a classical perspective. In: Coles J (ed) Methods in enzymology, vol 562. Academic Press, pp 49–80

    Google Scholar 

  • Correia JJ, Yphantis DA (1992) Equilibrium sedimentation in short solution columns. In: Harding SE, Rowe AJ, Horton JC (eds) Analytical ultracentrifugation in biochemistry and polymer sciences. Royal Society of Chemistry, London, pp 231–252

    Google Scholar 

  • Correia JJ, Lyons DF, Sherwood P, Stafford WF (2016) Techniques for Dissecting the Johnston-Ogston Effect. In: Uchiyama S, Arisaka F, Laue T, Stafford W (eds) Analytical ultracentrifugation—instrumentation, analysis and applications. Springer, Berlin, pp 243–262

    Google Scholar 

  • Dhami R, Colfen H, Harding SE (1995) A comparative “Schlieren” study of the sedimentation behavior of three polysaccharides using the Beckman Optima XL-A and model E analytical ultracentrifuges. Prog Colloid Polym Sci 99:187–192

    Article  CAS  Google Scholar 

  • Dishon M, Weiss GH, Yphantis DA (1967) Numerical solutions of the LAMM equation. V. Velocity centrifugation. Biopolymers 5:697–713

    Article  Google Scholar 

  • Dishon M, Weiss GH, Yphantis DA (1969) Numerical solutions of the LAMM equation. V. Band centrifugation. Ann N Y Acad Sci 164:33–51

    Article  Google Scholar 

  • Dunlop PJ, Gosting LJ (1955) Interacting flows in liquid diffusion: expressions for solute concentration curves in free diffusion. JACS 77:5238–5249

    Article  CAS  Google Scholar 

  • Fujita H (1975) Foundations of ultracentrifugation analysis. Wiley, New York

    Google Scholar 

  • Fujita H, MacCosham VJ (1959) Extension of sedimentation velocity theory to molecules of intermediate size. J Chem Phys 20:291–298

    Article  Google Scholar 

  • Fuoss RW (1959) The velocity field in electrolytic solutions. J Phys Chem 63:633–636

    Article  CAS  Google Scholar 

  • George A, Wilson WW (1994) Predicting protein crystallization from a dilute solution property. Acta Crystallogr D Biol Crystallogr 50:361–365

    Article  CAS  Google Scholar 

  • Gosting LJ (1956) Measurement and interpretation of diffusion coefficients of proteins. Adv Protein Chem 11:429–554

    Article  CAS  Google Scholar 

  • Harding SE, Johnson P (1985a) The concentration dependence of macromolecular parameters. Biochem J 231:543–547

    Article  CAS  Google Scholar 

  • Harding SE, Johnson P (1985b) Physicochemical studies on turnip-yellow-mosaic virus: homogeneity, relative molecular masses, hydrodynamic radii and concentration-dependence of parameters in non-dissociating solvents. Biochem J 231:549–555

    Article  CAS  Google Scholar 

  • Harrington WF, Schachman HK (1953) Analysis of a concentration anomaly in the ultracentrifugation of mixtures. JACS 75:3533–3539

    Article  CAS  Google Scholar 

  • Hayes DB, Philo JP, Laue TM (1994) Sednterp: interpretation of sedimentation data version 1.x. 2000 lines of visual basic code, written for Windows 3.x

  • Hersh RT, Schachman HK (1955) Ultracentrifugation studies with a synthetic boundary cell. II. Differential sedimentation. J Am Chem Soc 77:5228–5534

    Article  Google Scholar 

  • Hersh RT, Schachman HK (1958) Ultracentrifugation studies with a synthetic boundary cell. III. Sedimentation of a slow component in the presence of a faster species. J Phys Chem 62:170–178

    Article  CAS  Google Scholar 

  • Hopkins MM, Lambert CM, Bee, JS, Parupudi A, Bain DL (2018) Determination of interaction parameters for reversibly self-associating antibodies: a comparative analysis. J Pharm Sci 107:1820–1830

    Article  CAS  Google Scholar 

  • Johnston JP, Ogston AG (1946) A boundary anomaly found in the ultracentrifugal sedimentation of mixtures. Trans Faraday Soc 42:789–799

    Article  CAS  Google Scholar 

  • Kapusta P (2010) PicoQuant GmbH application note: absolute diffusion coefficients: compilation of reference data for FCS calibration

  • Katchalsky A, Curran PF (1975) Nonequilibrium thermodynamics in biophysics. Harvard University Press, Cambridge

    Google Scholar 

  • Kegeles G (1952) A boundary forming technique for the ultracentrifuge. JACS 74:5532–5534

    Article  CAS  Google Scholar 

  • Kegeles G, Gutter FJ (1951) The determination of sedimentation constants from Fresnel diffraction patterns. JACS 73:3770–3777

    Article  CAS  Google Scholar 

  • Kroe RR, Laue TM (2009) NUTS and BOLTS: applications of fluorescence-detected sedimentation. Anal Biochem 390:1–13

    Article  CAS  Google Scholar 

  • Laue TM (2011) Proximity energies: a framework for understanding concentrated solutions. J Mol Recognit 25:165–173

    Article  Google Scholar 

  • Laue TM, Shah BD, Ridgeway TM, Pelletier SL (1992) Computer-Aided Interpretation of analytical sedimentation data for proteins. In: Harding SE, Rose AJ, Horton JC (eds) Analytical ultracentrifugation in biochemistry and polymer sciences. Royal Society of Chemistry, pp 90–125

  • Lyons DF, Lary JW, Husain B, Correia JJ, Cole JL (2013) Are fluorescence-detected sedimentation velocity data reliable? Anal Biochem 437(2):133–137

    Article  CAS  Google Scholar 

  • MacGregor IK, Anderson AL, Laue TM (2004) Fluorescence detection for the XLI analytical ultracentrifuge. Biophys Chem 108:165–185

    Article  CAS  Google Scholar 

  • Miller DG (1959) Thermodynamics of irreversible processes. The experimental verification of the Onsager reciprocal relations. Chem Rev 60:15–37

    Article  Google Scholar 

  • Moody TP, Shepard HK (2004) Nonequilibrium thermodynamics of membrane-confinement electrophoresis. Biophys Chem 108:51–76

    Article  CAS  Google Scholar 

  • Onsager L, Fuoss RW (1932) Irreversible processes in electrolytes diffusion, conductance, and viscous flow in arbitrary mixtures of strong electrolytes. J Phys Chem 36:2689–2778

    Article  CAS  Google Scholar 

  • Patel TR, Winzor DJ, Scott DJ (2018) Allowance for radial dilution in evaluating the concentration dependence of sedimentation coefficients for globular proteins. Eur Biophys J 47:291–295

    Article  CAS  Google Scholar 

  • Pederson KO (1958) On charge and specific ion effects on sedimentation in the ultracentrifuge. J Phy Chem 62:1282–1290

    Article  Google Scholar 

  • Philip M, Jamaluddin M, Venkata Rama Sastry R, Sharay Chandra H (1979) Nucleosome core histone complex isolated gently and rapidly in 2 M NaCl is octameric. PNAS 76:5178–5182

    Article  CAS  Google Scholar 

  • Philo JS (1994) Measuring sedimentation, diffusion and molecular weights of small molecules by direct fitting of sedimentation velocity concentration profiles. In: Schuster TM, Laue TM (eds) Modern analytical ultracentrifugation, Birkhauser, pp 156–170

  • Philo J, Maluf NK (2015) New approaches to investigating the self-association and colloidal stability of protein pharmaceuticals at high concentration, HOS 2015. https://www.slideshare.net/kbibiopharma/new-approaches-to-investigating-the-selfassociation-and-colloidal-stability-of-protein-pharmaceuticals-at-high-concentrations. Accessed 11 July 2018

  • Pickles EG, Harrington WF, Schachman HK (1952) An ultracentrifuge cell for producing boundaries synthetically by a layering technique. PNAS 38:943–9948

    Article  Google Scholar 

  • Roark DE, Yphantis DA (1972) Equilibrium centrifugation of nonideal systems. The Donnan effect in self-associating systems. Biochemistry 10:3241–3249

    Google Scholar 

  • Rowe AJ (1977) The concentration dependence of transport processes: a general description applicable to sedimentation, translational diffusion, and viscosity coefficients of macromolecular solutes. Biopolymers 16:2595–2611

    Article  CAS  Google Scholar 

  • Rowe AJ (1992) The concentration dependence of sedimentation. In: Harding SE, Rowe AJ, Horton JC (eds) Analytical ultracentrifugation in biochemistry and polymer science. Royal Society of Chemistry, Cambridge, pp 394–406

    Google Scholar 

  • Rowe AJ (2011) Ultra-weak reversible protein–protein interactions. Methods 54:157–166

    Article  CAS  Google Scholar 

  • Saluja A, Fesinmeyer RM, Brems DN, Gokarn YR (2010) Diffusion and sedimentation interaction parameters for measuring the second virial coefficient and their utility as predictors of protein aggregation. Biophys J 99:2657–2665

    Article  CAS  Google Scholar 

  • Schachman HK (1959) Ultracentrifugation in biochemistry. Academic Press, New York

    Google Scholar 

  • Schachman HK, Harrington WF (1954) Ultracentrifugation studies with a synthetic boundary cell. I. General applications. J Polymer Sci. 12:379–390

    Article  CAS  Google Scholar 

  • Schuck P, MacPhee CE, Howlett GJ (1998) Determination of sedimentation coefficients for small molecules. Biophy J 74:466–474

    Article  CAS  Google Scholar 

  • Solovyova A, Schuck P, Costenaro L, Ebel C (2001) Non-ideality by sedimentation velocity of halophilic malate dehydrogenase in complex solvents. Biophys J 81:1868–1880

    Article  CAS  Google Scholar 

  • Stafford WF (1992) Boundary analysis in sedimentation transport experiments: a procedure for obtaining sedimentation coefficient distributions using the time derivative of the concentration profiles. Anal Biochem 203:295–301

    Article  CAS  Google Scholar 

  • Stafford WF, Braswell EH (2004) Sedimentation velocity, multi-speed method for analyzing polydisperse solutions. Biophys Chem 108:273–279

    Article  CAS  Google Scholar 

  • Stafford WF, Sherwood PJ (2004) Analysis of heterologous interacting systems by sedimentation velocity: curve fitting algorithms for estimation of sedimentation coefficients, equilibrium and kinetic constants. Biophys Chem 108:231–243

    Article  CAS  Google Scholar 

  • Stafford WF, Szent-Gyorgyi AG (1978) Physical characterization of myosin light chains. Biochemistry 17:607–614

    Article  CAS  Google Scholar 

  • Sudhaharan T, Liu P, Foo YH, Bu W, Lim KB, Wohland T, Ahmed S (2009) Determination of in vivo dissociation constant, KD, of Cdc42-effector complexes in live mammalian cells using single wavelength fluorescence cross-correlation spectroscopy. JBC 284:13602–13609

    Article  CAS  Google Scholar 

  • Svedberg T, Pederson KO (1940) The ultracentrifuge. Oxford Press, London

    Google Scholar 

  • Tanford C (1961) Physical chemistry of macromolecules. Wiley, New York

    Google Scholar 

  • Tessier PM, Lenhoff AM (2003) Measurements of protein self association as a guide to crystallization. Curr Opin Biotechnol 14:512–516

    Article  CAS  Google Scholar 

  • Trautman R, Schumaker V (1954) Generalization of the radial dilution square law in ultracentrifugation. J Chem Phys 22:551–554

    Article  CAS  Google Scholar 

  • Vinograd J, Bruner R, Kent R, Weigle J (1963) Band-centrifugation of macromolecules and viruses in self-generating density gradients. PNAS 49:902–910

    Article  CAS  Google Scholar 

  • Williams JW, vanHolde KE, Baldwin RL, Fujita H (1958) The theory of sedimentation analysis. Chem Rev 58:715–806

    Article  CAS  Google Scholar 

  • Wright RT, Hayes DB, Stafford WF, Sherwood PJ, Correia JJ (2018) Pre-clinical biophysical characterization of therapeutic antibodies in human serum by analytical ultracentrifugation. Anal Biochem 550:72–83

    Article  CAS  Google Scholar 

  • Yadav S, Scherer TM, Shire SJ, Kalonia DS (2011) Use of dynamic light scattering to determine second virial coefficient in a semidilute concentration regime. Anal Biochem 411:292–296

    Article  CAS  Google Scholar 

  • Yadav S, Scherer TM, Shire SJ, Kalonia DS (2012) Viscosity behavior of high-concentration monoclonal antibody solutions: correlation with interaction parameter and electroviscous effects. J Pharm Sci 101:998–1011

    Article  CAS  Google Scholar 

  • Yang D, Correia JJ, Stafford WF, Roberts CJ, Singh S, Hayes D, Kroe-Barrett R, Nixon A, Laue TM (2018) Weak IgG self- and hetero-association characterized by fluorescence analytical ultracentrifugation. J Protein Sci 27:1334–1348

    Article  CAS  Google Scholar 

  • Yphantis DA (1960) Rapid determination of molecular weights of peptides and proteins. ANYAS 88:586–601

    Article  CAS  Google Scholar 

  • Yphantis DA (1964) Equilibrium ultracentrifugation of dilute solutions. Biochemistry 3:297–317

    Article  CAS  Google Scholar 

Download references

Acknowledgements

Supported by Boehringer-Ingelheim and UMC AUC Facility. This work was presented at the 23rd International AUC Workshop and Symposium, Glasgow, Scotland. We thank Dave Bain, Tom Laue and Sharon Lobert for constructive comments.

Author information

Authors and Affiliations

Authors

Contributions

RTW and JJC designed and performed the experiments, analyzed and interpreted the data, and wrote the manuscript. WFS and PJS wrote the SEDANAL software modifications. DH provided materials and discussion. All authors did see and agreed to the final version of the manuscript.

Corresponding author

Correspondence to John J. Correia.

Ethics declarations

Conflict of interest

The authors declare that they have no competing interests.

Additional information

Special Issue: 23rd International AUC Workshop and Symposium.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wright, R.T., Hayes, D., Sherwood, P.J. et al. AUC measurements of diffusion coefficients of monoclonal antibodies in the presence of human serum proteins. Eur Biophys J 47, 709–722 (2018). https://doi.org/10.1007/s00249-018-1319-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00249-018-1319-x

Keywords

Navigation