| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |
| ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||



* Department of Chemistry, Colorado State University, Fort Collins, Colorado;
Department of Chemistry, Mississippi State University, Mississippi State, Mississippi; and
Legacy Biosciences, Loveland, Colorado
Correspondence: Address reprint requests to Charles S. Henry, Dept. of Chemistry, Colorado State University, Fort Collins, CO 80523. Tel.: 970-491-2852; Fax: 970-491-1801; E-mail: chuck.henry{at}colostate.edu.
| ABSTRACT |
|---|
|
|
|---|
| INTRODUCTION |
|---|
|
|
|---|
The osmotic second virial coefficient (B) is a thermodynamic parameter that characterizes two body interactions in dilute solutions by reflecting the magnitude and sign of interaction (8
). Positive B values indicate predominantly repulsive intermolecular interactions, whereas negative values reflect predominantly attractive interactions (9
). B correlates to protein stability (as seen in aggregation behavior) and solubility (9
17
) by accounting for contributions from electrostatics, van der Waals interactions, excluded volumes, hydration forces, and hydrophobic effects, the same interactions that regulate protein phase behavior (18
20
). Current applications and views on evaluating protein self-interaction through B values, along with technological advances aimed at improving the efficiency of making such measurements, are summarized in a recent excellent review by Tessier and Lenhoff (21
).
Historically, static light scattering (SLS) has been the most common approach for measuring B of proteins in solutions. Unfortunately, widespread applications of these studies are lacking due to numerous experimental limitations. Macromolecular solution additives, such as polyethylene glycols and surfactants, are difficult to use because they scatter too much light. Small peptides, on the other hand, do not scatter enough light for B measurements. Even when the right conditions are met, SLS measurements can still be prohibitive because of the large quantities of sample needed and the long analysis times. By contrast, self-interaction chromatography (SIC), introduced less than a decade ago (22
,23
), offers an inexpensive, high-throughput approach to measuring B in complex protein solutions. Compared to SLS, SIC requires at least an order of magnitude less time and sample (24
), permits the use of high molecular weight or self-associating cosolvents (25
), allows virial coefficient measurements on small biomolecules (i.e., peptides), and has demonstrated the potential for miniaturization (26
), further improving its efficiency.
In this study, SIC was used to measure B of lysozyme (LYZ) as a function of sucrose, trehalose, mannitol, glycine, arginine, glutamic acid, and NaCl. This study is broader than previous work because it focuses on the effects of multiple cosolvents on B of a single protein. Existing data in the field of cosolvent-induced changes in protein stability and solubility primarily comes from thermal denaturation experiments (27
,28
), hydrogen exchange studies (29
), circular dichroism spectra (30
), surface tension (31
), and partial specific volume measurements (32
). Thus, in many cases, direct comparison of these results with published literature values would be difficult. However, our SIC results qualitatively agree with the results obtained by these other methods. Additionally, we have obtained limited SLS results that validate the accuracy of using SIC to make B measurements in complex cosolvent systems.
SIC theory
In SIC, the protein of interest is immobilized onto a porous stationary phase and packed into a glass, stainless steel, or polymer-based column. Interactions between the protein free in the mobile phase and immobilized onto the stationary phase are detected as shifts in the retention volume. Moreover, mobile phases are mixed online and multiple samples can be loaded into an autosampler, enabling high-throughput screening of various conditions. B values are calculated using the relation from Tessier et al. (24
), modified to achieve the appropriate units:
![]() | (1) |
), the phase ratio (
), and the chromatographic capacity factor (k'). The immobilization density (
) is the number of covalently immobilized protein molecules per unit of surface area of the bare chromatography particles. The phase ratio (
), interpreted from the results of a previous study (33
![]() | (2) |
| EXPERIMENTAL PROCEDURE |
|---|
|
|
|---|
Stationary phase modification procedure
LYZ was immobilized onto AF-Formyl-650M chromatography particles as outlined by Tessier et. al. (24
). Briefly, LYZ (8 mg) was dissolved in 1.2 mL of 1.0M K2HPO4, pH 7.0. AF-Formyl 650-M chromatography particles (375 µL) were washed three times with 1.2 ml of the same phosphate buffer. The particles and LYZ solution were combined and allowed to settle. Then, 20 µL of the supernatant was removed and diluted to 250 µL for UV absorption measurement of the initial LYZ concentration at 280 nm using a UV-VIS spectrophotometer (Genesis 10uv, Thermo Spectronic, Rochester, NY). Sodium cyanoborohydride (15 mg) was added to the remaining LYZ-particle mixture to activate the coupling reaction. The reaction vial was then put in a room temperature rotary mixer for
80 min, after which a final UV measurement was taken exactly as described above. The remaining LYZ was removed by washing the particles with 2.4 mL of phosphate buffer containing 5% (w/v) NaCl. The particles were then washed with the original phosphate buffer. The particles were placed back in the rotary mixer, along with 1.2 mL of 1.0 M ethanolamine, pH 8.0, and 10 mg sodium cyanoborohydride, to cap any unreacted formyl groups. Finally, the particles were washed with 0.1 M acetate, pH 4.5, and stored at 4°C. Ethanolamine capped AF-Formyl-650M particles (used for the dead column) were prepared according to the final step of the coupling procedure described above.
Static light scattering
Sodium acetate buffer containing 5% (w/v) NaCl and varying excipient concentrations were prepared by adding 6.0 g of glacial acetic acid, 50.0 g of NaCl, and the appropriate amount of excipient to
900 ml of deionized water, titrating to pH 4.5 with 0.1 M NaOH, and filling with DI water to a 1.0-L mark. Lysozyme stock solutions were prepared in the desired buffer solutions at concentrations ranging from
2 to 7 mg/ml, depending on the solubility of the protein. The stock solutions were filtered using 0.22 µm Millex Millipore filters. Protein concentrations were determined spectrophotometrically using
(1%, 1 cm, 280 nm) = 26.3.
SLS measurements for obtaining the second virial coefficient, B, were performed using a DAWN F laser photometer from Wyatt Technology (Santa Barbara, CA). The SLS method requires that the intensity of light scattered by a protein solution be measured as a function of protein concentration. Typically, four to five dilutions of a particular protein stock were prepared and filtered directly into the DAWN F scattering cell. The incident light source was a vertically polarized, 5-mW He-Ne laser with wavelength of 633 nm. Relative scattering intensities in excess of background (solvent, stray light) were converted to absolute scattering intensities (R90) by calibrating the instrument response using toluene as the calibration standard (R90 = 14.06 x 106 cm1 at 633 nm).
SLS data was analyzed based on the working equation (Eq. 3) given by Kratochvil (35
):
![]() | (3) |
![]() | (4) |
is the wavelength of the incident light, dn/dc is called the refractive index increment for the protein-solvent pair and R90 is the excess Rayleigh factor at a scattering angle of 90° (cm1) measured as a function of protein concentration. As Eq. 3 suggests, plotting Kc/R90 versus c yields the second virial coefficient, B, from the slope of the plot.
Self-interaction chromatography
All buffers were prepared with 18 M
water (Nanopure, Barnstead, Dubuque, IA) and the pH adjusted with either NaOH or HCl. pH was followed using a digital pH meter (UB-5, Denver Instruments, Denver, CO). All mobile phases were buffered at pH 4.5 with 0.1 M acetate, except for the results in Fig. 5, where the buffer pH was increased to 6.0. LYZ and acetone injection samples were dissolved at 15 mg/mL and 2% (v/v), respectively. The SIC column consisted of Teflon FEP Tubing (1/8-inch outer diameter, 1/16-inch inner diameter, Upchurch, Oak Harbor, WA) fitted with a stainless steel frit (2-µm pores, Upchurch). The column was conditioned after packing for several hours with 0.1 M acetate, pH 4.5, at 0.15 mL/min, after which, no further bed settling was observed. Generally, for all experiments where the mobile phases incrementally increased in cosolvent concentrations, one buffer with no cosolvent and another with the maximum cosolvent concentration used were mixed by the high-performance liquid chromatography pump to achieve the entire range of desired conditions. Dead column experiments utilized identical mobile phase conditions with one exception, 5% NaCl was added to all mobile phases to suppress electrostatic interactions between mobile phase analytes and the ethanolamine capped stationary phase.
|
|
| RESULTS AND DISCUSSION |
|---|
|
|
|---|
|
|
|
It is important to stress that the effects of structure-stabilizing cosolvents are independent of ionic strength (30
,46
). Rather, the conferred stabilization is a result of short-range excluded volume and/or hydrophobic effects, which necessarily influence conformational changes that alter a protein's solvent-exposed surface area. Strong electrostatic repulsion may keep proteins sufficiently far apart that intermolecular interactions are unaffected. Thus, at low ionic strengths and pH values far from the isoelectric point, B measurements may be similarly unaffected by the addition of cosolvents. Conversely, at high ionic strengths where electrostatic repulsion is minimized, intermolecular distances can be reduced to the range where cosolvent-induced stabilization is reflected in the measured B trends.
Amino acids
Glycine and arginine are two of the most well studied amino acid cosolvents. Glycine is a naturally occurring, preferentially excluded structure stabilizer (28
,47
,48
). Conversely, the guanidinium group of arginine is believed to favorably interact with aromatic side chains based on structural analysis studies (49
51
), making it a valuable aggregation suppressor, but an inefficient protein structure stabilizer. The effects of arginine and glycine on B, as a function of concentration, are shown in (Fig. 4). The same ionic strength dependence is observed as before. For example, in the presence of 2% (w/v) NaCl, the B value for LYZ changed from 1.04 ± 0.48 x 104 at 0.0 M arginine to 0.94 ± 0.19 x 104 mol mL/g2 at 0.1 M arginine and from 0.20 ± 0.24 x 104 at 0.0 M glycine to 0.54 ± 0.14 x 104 mol mL/g2 at 0.1 M glycine. In the presence of 5% (w/v) NaCl, the B value for LYZ changed from 5.97 ± 0.05 x 104 at 0.0 M arginine to 3.11 ± 0.31 x 104 mol mL/g2 at 0.1 M arginine and from 6.51 ± 0.33 x 104 at 0.0 M glycine to 5.45 ± 0.11 x 104 mol mL/g2 at 0.1 M glycine. From these data, it becomes clear that 0.1 M arginine has a much greater impact on B than an equivalent concentration of glycine. The increase in B as a function of arginine (from 5.97 x 104 at 0.0 M arginine and 5% (w/v) NaCl to 3.11 x 104 mol mL/g2 at 0.1 M arginine and 5% (w/v) NaCl) signifies a reduction in intermolecular attractions. These data are consistent with an SLS study reporting that the addition of 0.5 M arginine to the renaturation buffer significantly increases B (from 1.71 ± 0.76 x 103 at 0.0 M arginine in a buffer of 1.25 M Gdn-HCl, 6 mM GSSG, 5 mM dithiothreitol, 50 mM Tris, pH 8.0, to 4.76 ± 1.02 103 mol mL/g2 at 0.5 M arginine in the same buffer), thereby suppressing LYZ aggregation (52
).
|
Mixed cosolvents
Combined effects of two amino acids (arginine and glutamic acid) and a sugar and amino acid (sucrose and arginine) on B were also investigated. In the presence of 5% (w/v) NaCl, increasing equimolar amounts of arginine and glutamic acid, up to a combined concentration of 0.2 M, changed B values from 1.41 ± 0.41 x 103 at 0.0 M arginine + glutamic acid to 8.13 ± 0.29 x 104 mol mL/g2 at 0.2 M arginine + glutamic acid (Fig. 5). In these experiments, the initial solution conditions, representing
B = 0, are 0.1 M acetate, 5% (w/v) NaCl, pH 6.0.
On a per-mole basis, the combination of arginine and glutamic acid is more effective at reducing intermolecular attraction (i.e., increasing LYZ B values by 5.98 ± 0.43 x 104 mol mL/g2 for a combined concentration of 0.2 M) than any single cosolvent in this study. These data support previous findings (54
) that the simultaneous addition of arginine and glutamic acid dramatically increases protein solubility and long-term stability up to eightfold. Noting that they were working with poorly soluble proteins, these same researchers speculated that the charged and aliphatic portions of these amino acids were favorably interacting with oppositely charged and hydrophobic portions of the protein surface, respectively. Another study (31
), using LYZ in solution conditions more comparable to ours with surface tension measurements, reported that the affinity of charged amino acids for oppositely charged groups on the protein surface is enhanced as electrostatic repulsions are minimized. Drawing from these suggestions, we speculate that our data in Fig. 5 support the theory that both arginine and glutamic acid are masking hydrophobic surface patches, thus stabilizing LYZ against self-association.
Arginine and sucrose were also combined (Fig. 6) to determine the impact of two different types of cosolvents on B. The complexity of this particular two cosolvent system is compounded by the very different nature of their preferential interactions with LYZ. It is known by CD spectroscopy that sucrose stabilizes compact native conformations (29
,44
) and arginine suppresses aggregation (49
51
). The former is preferentially excluded from the protein surface and the latter displays weak binding. The link between the two is that they both decrease LYZ self-interaction by reducing attractive hydrophobic effects. These ideas are key to interpreting the data found in Fig. 6, which show a combined but not completely additive effect of arginine and sucrose on B.
|
| CONCLUSIONS |
|---|
|
|
|---|
SIC results agree with comparable SLS measurements, strengthening the validity of this approach to measuring B. To the best of our knowledge, this is the most comprehensive study on the ability of cosolvents to affect the self-interaction, and therefore B value, of a protein. Virtually all previous protein B studies have focused on salting out effects for crystallization purposes. Overall, this work demonstrates that SIC offers an efficient, high-throughput approach to measuring B of proteins in complex solutions. More studies of this nature are needed to fully explore all potential advantages and limitations of this characterization approach as well as to develop a fundamental understanding of protein self-interaction in complex solutions.
Submitted on June 10, 2005; accepted for publication September 8, 2005.
| REFERENCES |
|---|
|
|
|---|
2. Cohen, F. E., and J. W. Kelly. 2003. Therapeutic approaches to protein-misfolding diseases. Nature. 426:905909.[CrossRef][Medline]
3. Tyers, M., and M. Mann. 2003. From genomics to proteomics. Nature. 422:193197.[CrossRef][Medline]
4. Chi, E. Y., S. Krishnan, T. W. Randolph, and J. F. Carpenter. 2003. Physical stability of proteins in aqueous solution: mechanism and driving forces in nonnative protein aggregation. Pharm. Res. 20:13251336.[CrossRef][Medline]
5. Timasheff, S. N. 1993. The control of protein stability and association by weak interactions with water: how do solvents affect these processes. Annu. Rev. Biophys. Biomol. Struct. 22:6797.[Medline]
6. Timasheff, S. N. 1998. Control of protein stability and reactions by weakly interacting cosolvents: the simplicity of the complicated. Adv. in Protein Chem. 51:355432.[Medline]
7. Advant, S. J., D. Komarek, G. Adams, Y. W. Zhang, and R. Seetharam. 1997. Challenges in the analysis of formulated proteins in the presence of excipients. Genet. Eng. News. 17:20.
8. Neal, B. L., D. Asthagiri, and A. M. Lenhoff. 1998. Molecular origins of osmotic second virial coefficients of proteins. Biophys. J. 75:24692477.
9. Neal, B. L., D. Asthagiri, O. D. Velev, A. M. Lenhoff, and E. W. Kaler. 1999. Why is the osmotic second virial coefficient related to protein crystallization? J. Cryst. Growth. 196:377387.[CrossRef]
10. Krishnan, S., E. Y. Chi, J. N. Webb, B. S. Chang, D. X. Shan, M. Goldenberg, M. C. Manning, T. W. Randolph, and J. F. Carpenter. 2002. Aggregation of granulocyte colony stimulating factor under physiological conditions: characterization and thermodynamic inhibition. Biochemistry. 41:64226431.[CrossRef][Medline]
11. Chi, E. Y., S. Krishnan, B. S. Kendrick, B. S. Chang, J. F. Carpenter, and T. W. Randolph. 2003. Roles of conformational stability and colloidal stability in the aggregation of recombinant human granulocyte colony-stimulating factor. Protein Sci. 12:903913.
12. Rosenbaum, D. F., and C. F. Zukoski. 1996. Protein interactions and crystallization. J. Cryst. Growth. 169:752758.[CrossRef]
13. George, A., and W. W. Wilson. 1994. Predicting protein crystallization from a dilute-solution property. Acta Crystallogr. D Biol. Crystallogr. 50:361365.[CrossRef][Medline]
14. Guo, B., S. Kao, H. McDonald, A. Asanov, L. L. Combs, and W. W. Wilson. 1999. Correlation of second virial coefficients and solubilities useful in protein crystal growth. J. Cryst. Growth. 196:424433.[CrossRef]
15. Haas, C., J. Drenth, and W. W. Wilson. 1999. Relation between the solubility of proteins in aqueous solutions and the second virial coefficient of the solution. J. Phys. Chem. B. 103:28082811.
16. George, A., Y. Chiang, B. Guo, A. Arabshahi, Z. Cai, and W. W. Wilson. 1997. Second virial coefficient as predictor in protein crystal growth. Methods Enzymol. 276:100110.[CrossRef]
17. Ruppert, S., S. I. Sandler, and A. M. Lenhoff. 2001. Correlation between the osmotic second virial coefficient and the solubility of proteins. Biotechnol. Prog. 17:182187.[CrossRef][Medline]
18. Curtis, R. A., H. W. Blanch, and J. M. Prausnitz. 2001. Calculation of phase diagrams for aqueous protein solutions. J. Phys. Chem. B. 105:24452452.
19. Rosenbaum, D., P. C. Zamora, and C. F. Zukoski. 1996. Phase behavior of small attractive colloidal particles. Phys. Rev. Lett. 76:150153.[CrossRef][Medline]
20. Haas, C., and J. Drenth. 1999. Understanding protein crystallization on the basis of the phase diagram. J. Cryst. Growth. 196:388394.[CrossRef]
21. Tessier, P. M., and A. M. Lenhoff. 2003. Measurements of protein self-association as a guide to crystallization. Curr. Opin. Biotechnol. 14:512516.[CrossRef][Medline]
22. Przybycien, T. M. 1998. Protein-protein interactions as a means of purification. Curr. Opin. Biotechnol. 9:164170.[CrossRef][Medline]
23. Patro, S. Y., and T. M. Przybycien. 1996. Self-interaction chromatography: a tool for the study of protein-protein interactions in bioprocessing environments. Biotechnol. Bioeng. 52:193203.[Medline]
24. Tessier, P. M., A. M. Lenhoff, and S. I. Sandler. 2002. Rapid measurement of protein osmotic second virial coefficients by self-interaction chromatography. Biophys. J. 82:16201631.
25. Tessier, P. M., H. R. Johnson, R. Pazhianur, B. W. Berger, J. L. Prentice, B. J. Bahnson, S. I. Sandler, and A. M. Lenhoff. 2003. Predictive crystallization of ribonuclease A via rapid screening of osmotic second virial coefficients. Proteins. 50:303311.[CrossRef][Medline]
26. Garcia, C. D., D. J. Hadley, W. W. Wilson, and C. S. Henry. 2003. Measuring protein interactions by microchip self-interaction chromatography. Biotechnol. Prog. 19:10061010.[CrossRef][Medline]
27. Santoro, M. M., Y. F. Liu, S. M. A. Khan, L. X. Hou, and D. W. Bolen. 1992. Increased thermal-stability of proteins in the presence of naturally-occurring osmolytes. Biochemistry. 31:52785283.[CrossRef][Medline]
28. Arakawa, T., and S. N. Timasheff. 1985. The stabilization of proteins by osmolytes. Biophys. J. 47:411414.
29. Kim, Y. S., L. S. Jones, A. C. Dong, B. S. Kendrick, B. S. Chang, M. C. Manning, T. W. Randolph, and J. F. Carpenter. 2003. Effects of sucrose on conformational equilibria and fluctuations within the native-state ensemble of proteins. Protein Sci. 12:12521261.
30. Davis-Searles, P. R., A. S. Morar, A. J. Saunders, D. A. Erie, and G. J. Pielak. 1998. Sugar-induced molten-globule model. Biochemistry. 37:1704817053.[CrossRef][Medline]
31. Kita, Y., T. Arakawa, T. Y. Lin, and S. N. Timasheff. 1994. Contribution of the surface free-energy perturbation to protein solvent interactions. Biochemistry. 33:1517815189.[CrossRef][Medline]
32. Arakawa, T., and S. N. Timasheff. 1982. Stabilization of protein structure by sugars. Biochemistry. 21:65366544.[CrossRef][Medline]
33. DePhillips, P., and A. M. Lenhoff. 2000. Pore size distributions of cation-exchange adsorbents determined by inverse size-exclusion chromatography. J. Chromatogr. A. 883:3954.[CrossRef][Medline]
34. Weston, A., and P. R. Brown. (1997) HPLC and CE: Principles and Practice. Academic Press, San Diego, CA.
35. Kratochvil, P. (1987) Classical Light Scattering from Polymer Solutions. Elsevier, Amsterdam and New York.
36. Curtis, R. A., J. Ulrich, A. Montaser, J. M. Prausnitz, and H. W. Blanch. 2002. Protein-protein interactions in concentrated electrolyte solutions: Hofmeister-series effects. Biotechnol. Bioeng. 79:367380.[CrossRef][Medline]
37. Curtis, R. A., J. M. Prausnitz, and H. W. Blanch. 1998. Protein-protein and protein-salt interactions in aqueous protein solutions containing concentrated electrolytes. Biotechnol. Bioeng. 57:1121.[CrossRef][Medline]
38. Garcia, C. D., S. C. Holman, C. S. Henry, and W. W. Wilson. 2003. Screening of protein-ligand interactions by affinity chromatography. Biotechnol. Prog. 19:575579.[CrossRef][Medline]
39. Xie, G. F., and S. N. Timasheff. 1997. The thermodynamic mechanism of protein stabilization by trehalose. Biophys. Chem. 64:2543.[CrossRef][Medline]
40. Lee, J. C., and S. N. Timasheff. 1981. The stabilization of proteins by sucrose. J. Biol. Chem. 256:71937201.
41. Gekko, K., and T. Morikawa. 1981. Thermodynamics of polyol-induced thermal stabilization of chymotrypsinogen. J. Biochem. (Tokyo). 90:5160.
42. Timasheff, S. N., J. C. Lee, E. P. Pittz, and N. Tweedy. 1976. Interaction of tubulin and other proteins with structure-stabilizing solvents. J. Colloid Interface Sci. 55:658663.[CrossRef]
43. Curtis, R. A., C. Steinbrecher, A. Heinemann, H. W. Blanch, and J. M. Prausnitz. 2002. Hydrophobic forces between protein molecules in aqueous solutions of concentrated electrolyte. Biophys. Chem. 98:249265.[CrossRef][Medline]
44. Kendrick, B. S., J. F. Carpenter, J. L. Cleland, and T. W. Randolph. 1998. A transient expansion of the native state precedes aggregation of recombinant human interferon-gamma. Proc. Natl. Acad. Sci. USA. 95:1414214146.
45. Kaushik, J. K., and R. Bhat. 1998. Thermal stability of proteins in aqueous polyol solutions: role of the surface tension of water in the stabilizing effect of polyols. J. Phys. Chem. B. 102:70587066.
46. Saunders, A. J., P. R. Davis-Searles, D. L. Allen, G. J. Pielak, and D. A. Erie. 2000. Osmolyte-induced changes in protein conformation equilibria. Biopolymers. 53:293307.[CrossRef][Medline]
47. Arakawa, T., and S. N. Timasheff. 1983. Preferential interactions of proteins with solvent components in aqueous amino-acid solutions. Arch. Biochem. Biophys. 224:169177.[CrossRef][Medline]
48. Sabulal, B., and N. Kishore. 1995. Differential scanning calorimetric study of the interactions of some stabilizing amino acids and oligopeptides with hen egg white lysozyme. J. Chem. Soc. Faraday Trans. 91:21012106.[CrossRef]
49. Tsumoto, K., M. Umetsu, I. Kumagai, D. Ejima, J. S. Philo, and T. Arakawa. 2004. Role of arginine in protein refolding, solubilization, and purification. Biotechnol. Prog. 20:13011308.[CrossRef][Medline]
50. Baynes, B. M., D. I. C. Wang, and B. L. Trout. 2005. Role of arginine in the stabilization of proteins against aggregation. Biochemistry. 44:49194925.[CrossRef][Medline]
51. Reddy, R. C., H. Lilie, R. Rudolph, and C. Lange. 2005. L-Arginine increases the solubility of unfolded species of hen egg white lysozyme. Protein Sci. 14:929935.
52. Ho, J. G. S., A. P. J. Middelberg, P. Ramage, and H. P. Kocher. 2003. The likelihood of aggregation during protein renaturation can be assessed using the second virial coefficient. Protein Sci. 12:708716.
53. Clark, E. D., E. Schwarz, and R. Rudolph. 1999. Inhibition of aggregation side reactions during in vitro protein folding. Methods Enzymol. 309:217236.[Medline]
54. Golovanov, A. P., G. M. Hautbergue, S. A. Wilson, and L. Y. Lian. 2004. A simple method for improving protein solubility and long-term stability. J. Am. Chem. Soc. 126:89338939.[CrossRef][Medline]
This article has been cited by other articles:
![]() |
D. Takahashi, E. Nishimoto, T. Murase, and S. Yamashita Protein-Protein Interaction on Lysozyme Crystallization Revealed by Rotational Diffusion Analysis Biophys. J., June 1, 2008; 94(11): 4484 - 4492. [Abstract] [Full Text] [PDF] |
||||
![]() |
T. Ahamed, B. N. A. Esteban, M. Ottens, G. W. K. van Dedem, L. A. M. van der Wielen, M. A. T. Bisschops, A. Lee, C. Pham, and J. Thommes Phase Behavior of an Intact Monoclonal Antibody Biophys. J., July 15, 2007; 93(2): 610 - 619. [Abstract] [Full Text] [PDF] |
||||
| ||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
| HOME | HELP | FEEDBACK | SUBSCRIPTIONS | ARCHIVE | SEARCH | TABLE OF CONTENTS |