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. 1998 Nov;75(5):2469–2477. doi: 10.1016/S0006-3495(98)77691-X

Molecular origins of osmotic second virial coefficients of proteins.

B L Neal 1, D Asthagiri 1, A M Lenhoff 1
PMCID: PMC1299921  PMID: 9788942

Abstract

The thermodynamic properties of protein solutions are determined by the molecular interactions involving both solvent and solute molecules. A quantitative understanding of the relationship would facilitate more systematic procedures for manipulating the properties in a process environment. In this work the molecular basis for the osmotic second virial coefficient, B22, is studied; osmotic effects are critical in membrane transport, and the value of B22 has also been shown to correlate with protein crystallization behavior. The calculations here account for steric, electrostatic, and short-range interactions, with the structural and functional anisotropy of the protein molecules explicitly accounted for. The orientational dependence of the protein interactions is seen to have a pronounced effect on the calculations; in particular, the relatively few protein-protein configurations in which the apposing surfaces display geometric complementarity contribute disproportionately strongly to B22. The importance of electrostatic interactions is also amplified in these high-complementarity configurations. The significance of molecular recognition in determining B22 can explain the correlation with crystallization behavior, and it suggests that alteration of local molecular geometry can help in manipulating protein solution behavior. The results also have implications for the role of protein interactions in biological self-organization.

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Selected References

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  1. Bassingthwaighte J. B. Design and strategy for the Cardionome Project. Adv Exp Med Biol. 1997;430:325–339. doi: 10.1007/978-1-4615-5959-7_28. [DOI] [PubMed] [Google Scholar]
  2. Bhat T. N., Bentley G. A., Boulot G., Greene M. I., Tello D., Dall'Acqua W., Souchon H., Schwarz F. P., Mariuzza R. A., Poljak R. J. Bound water molecules and conformational stabilization help mediate an antigen-antibody association. Proc Natl Acad Sci U S A. 1994 Feb 1;91(3):1089–1093. doi: 10.1073/pnas.91.3.1089. [DOI] [PMC free article] [PubMed] [Google Scholar]
  3. Crosio M. P., Janin J., Jullien M. Crystal packing in six crystal forms of pancreatic ribonuclease. J Mol Biol. 1992 Nov 5;228(1):243–251. doi: 10.1016/0022-2836(92)90503-c. [DOI] [PubMed] [Google Scholar]
  4. Davies D. R., Cohen G. H. Interactions of protein antigens with antibodies. Proc Natl Acad Sci U S A. 1996 Jan 9;93(1):7–12. doi: 10.1073/pnas.93.1.7. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Gallagher W. H., Woodward C. K. The concentration dependence of the diffusion coefficient for bovine pancreatic trypsin inhibitor: a dynamic light scattering study of a small protein. Biopolymers. 1989 Nov;28(11):2001–2024. doi: 10.1002/bip.360281115. [DOI] [PubMed] [Google Scholar]
  6. George A., Wilson W. W. Predicting protein crystallization from a dilute solution property. Acta Crystallogr D Biol Crystallogr. 1994 Jul 1;50(Pt 4):361–365. doi: 10.1107/S0907444994001216. [DOI] [PubMed] [Google Scholar]
  7. Horton N., Lewis M. Calculation of the free energy of association for protein complexes. Protein Sci. 1992 Jan;1(1):169–181. doi: 10.1002/pro.5560010117. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. Imoto T. Electrostatic free energy of lysozyme. Biophys J. 1983 Dec;44(3):293–298. doi: 10.1016/S0006-3495(83)84302-1. [DOI] [PMC free article] [PubMed] [Google Scholar]
  9. Janin J., Rodier F. Protein-protein interaction at crystal contacts. Proteins. 1995 Dec;23(4):580–587. doi: 10.1002/prot.340230413. [DOI] [PubMed] [Google Scholar]
  10. Jones S., Thornton J. M. Principles of protein-protein interactions. Proc Natl Acad Sci U S A. 1996 Jan 9;93(1):13–20. doi: 10.1073/pnas.93.1.13. [DOI] [PMC free article] [PubMed] [Google Scholar]
  11. Kuehner D. E., Heyer C., Rämsch C., Fornefeld U. M., Blanch H. W., Prausnitz J. M. Interactions of lysozyme in concentrated electrolyte solutions from dynamic light-scattering measurements. Biophys J. 1997 Dec;73(6):3211–3224. doi: 10.1016/S0006-3495(97)78346-2. [DOI] [PMC free article] [PubMed] [Google Scholar]
  12. Marini M. A., Martin C. J. The prototropic behavior of alpha-chymotrypsin and chymotrypsinogen in water and formaldehyde. An examination of the reactivity of the amino groups in formaldehyde. Eur J Biochem. 1971 Mar 11;19(2):162–168. doi: 10.1111/j.1432-1033.1971.tb01300.x. [DOI] [PubMed] [Google Scholar]
  13. Novotny J., Bruccoleri R. E., Saul F. A. On the attribution of binding energy in antigen-antibody complexes McPC 603, D1.3, and HyHEL-5. Biochemistry. 1989 May 30;28(11):4735–4749. doi: 10.1021/bi00437a034. [DOI] [PubMed] [Google Scholar]
  14. Rosenbaum D, Zamora PC, Zukoski CF. Phase behavior of small attractive colloidal particles. Phys Rev Lett. 1996 Jan 1;76(1):150–153. doi: 10.1103/PhysRevLett.76.150. [DOI] [PubMed] [Google Scholar]
  15. Roth C. M., Neal B. L., Lenhoff A. M. Van der Waals interactions involving proteins. Biophys J. 1996 Feb;70(2):977–987. doi: 10.1016/S0006-3495(96)79641-8. [DOI] [PMC free article] [PubMed] [Google Scholar]
  16. Sharp K. A., Honig B. Electrostatic interactions in macromolecules: theory and applications. Annu Rev Biophys Biophys Chem. 1990;19:301–332. doi: 10.1146/annurev.bb.19.060190.001505. [DOI] [PubMed] [Google Scholar]
  17. Wang D., Bode W., Huber R. Bovine chymotrypsinogen A X-ray crystal structure analysis and refinement of a new crystal form at 1.8 A resolution. J Mol Biol. 1985 Oct 5;185(3):595–624. doi: 10.1016/0022-2836(85)90074-9. [DOI] [PubMed] [Google Scholar]
  18. Warwicker J., Watson H. C. Calculation of the electric potential in the active site cleft due to alpha-helix dipoles. J Mol Biol. 1982 Jun 5;157(4):671–679. doi: 10.1016/0022-2836(82)90505-8. [DOI] [PubMed] [Google Scholar]
  19. Watanabe E., Tsoka S., Asenjo J. A. Selection of chromatographic protein purification operations based on physicochemical properties. Ann N Y Acad Sci. 1994 May 2;721:348–364. doi: 10.1111/j.1749-6632.1994.tb47407.x. [DOI] [PubMed] [Google Scholar]
  20. Zauhar R. J. SMART: a solvent-accessible triangulated surface generator for molecular graphics and boundary element applications. J Comput Aided Mol Des. 1995 Apr;9(2):149–159. doi: 10.1007/BF00124405. [DOI] [PubMed] [Google Scholar]
  21. Zhou H. X. Boundary element solution of macromolecular electrostatics: interaction energy between two proteins. Biophys J. 1993 Aug;65(2):955–963. doi: 10.1016/S0006-3495(93)81094-4. [DOI] [PMC free article] [PubMed] [Google Scholar]

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