Abstract
An equilibrium statistical-thermodynamic model for the effect of volume exclusion arising from high concentrations of stable macromolecules upon the stability of a trace globular protein with respect to denaturation by heat and by chaotropes is presented. The stable cosolute and the native form of the trace protein are modeled by effective hard spherical particles. The denatured state of the trace protein is represented as an ensemble of substates modeled by random coils having the same contour length but different rms end-to-end distances (i.e., different degrees of compaction). The excess or nonideal chemical potential of the native state and of each denatured substate is calculated as a function of the concentration of stable cosolute, leading to an estimate of the relative abundance of each state and substate, and the ensemble average free energy of the transition between native and denatured protein. The effect of the addition of stable cosolute upon the temperature of half-denaturation and upon the concentration of chaotrope required to half-denature the tracer at constant temperature is then estimated. At high cosolute concentration (>100 g/l) these effects are predicted to be large and readily measurable experimentally, provided that an experimental system exhibiting a fully reversible unfolding equilibrium at high total macromolecular concentration can be developed.
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- Acharya K. R., Ren J. S., Stuart D. I., Phillips D. C., Fenna R. E. Crystal structure of human alpha-lactalbumin at 1.7 A resolution. J Mol Biol. 1991 Sep 20;221(2):571–581. doi: 10.1016/0022-2836(91)80073-4. [DOI] [PubMed] [Google Scholar]
- Attri A. K., Minton A. P. An automated method for determination of the molecular weight of macromolecules via sedimentation equilibrium in a preparative ultracentrifuge. Anal Biochem. 1983 Aug;133(1):142–152. doi: 10.1016/0003-2697(83)90235-x. [DOI] [PubMed] [Google Scholar]
- Bloomfield V. A. DNA condensation by multivalent cations. Biopolymers. 1997;44(3):269–282. doi: 10.1002/(SICI)1097-0282(1997)44:3<269::AID-BIP6>3.0.CO;2-T. [DOI] [PubMed] [Google Scholar]
- Bloomfield V. A. DNA condensation. Curr Opin Struct Biol. 1996 Jun;6(3):334–341. doi: 10.1016/s0959-440x(96)80052-2. [DOI] [PubMed] [Google Scholar]
- Brandts J. F., Oliveira R. J., Westort C. Thermodynamics of protein denaturation. Effect of pressu on the denaturation of ribonuclease A. Biochemistry. 1970 Feb 17;9(4):1038–1047. doi: 10.1021/bi00806a045. [DOI] [PubMed] [Google Scholar]
- Kataoka M., Kuwajima K., Tokunaga F., Goto Y. Structural characterization of the molten globule of alpha-lactalbumin by solution X-ray scattering. Protein Sci. 1997 Feb;6(2):422–430. doi: 10.1002/pro.5560060219. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Katz S., Beall J. A., Crissman J. K., Jr Structure-volume relationship. Dilatometric study of the acid-base reaction involving human oxy- and methemoglobins in water and denaturing media. Biochemistry. 1973 Oct 9;12(21):4180–4185. doi: 10.1021/bi00745a022. [DOI] [PubMed] [Google Scholar]
- Katz S., Crissman J. K., Jr, Beall J. A. Structure volume relationships of proteins. Dilatometric studies of the structural transitions engendered in serum albumin and myoglobin as a consequence of acid-base reaction in water and in denaturing media. J Biol Chem. 1973 Jul 10;248(13):4840–4845. [PubMed] [Google Scholar]
- Kidoaki S., Yoshikawa K. Folding and unfolding of a giant duplex-DNA in a mixed solution with polycations, polyanions and crowding neutral polymers. Biophys Chem. 1999 Feb 1;76(2):133–143. doi: 10.1016/s0301-4622(98)00231-2. [DOI] [PubMed] [Google Scholar]
- Minagawa K., Matsuzawa Y., Yoshikawa K., Matsumoto M., Doi M. Direct observation of the biphasic conformational change of DNA induced by cationic polymers. FEBS Lett. 1991 Dec 16;295(1-3):67–69. doi: 10.1016/0014-5793(91)81386-m. [DOI] [PubMed] [Google Scholar]
- Minton A. P. A molecular model for the dependence of the osmotic pressure of bovine serum albumin upon concentration and pH. Biophys Chem. 1995 Dec;57(1):65–70. doi: 10.1016/0301-4622(95)00046-z. [DOI] [PubMed] [Google Scholar]
- Minton A. P. Influence of excluded volume upon macromolecular structure and associations in 'crowded' media. Curr Opin Biotechnol. 1997 Feb;8(1):65–69. doi: 10.1016/s0958-1669(97)80159-0. [DOI] [PubMed] [Google Scholar]
- Minton A. P. Molecular crowding: analysis of effects of high concentrations of inert cosolutes on biochemical equilibria and rates in terms of volume exclusion. Methods Enzymol. 1998;295:127–149. doi: 10.1016/s0076-6879(98)95038-8. [DOI] [PubMed] [Google Scholar]
- Minton A. P. The effect of volume occupancy upon the thermodynamic activity of proteins: some biochemical consequences. Mol Cell Biochem. 1983;55(2):119–140. doi: 10.1007/BF00673707. [DOI] [PubMed] [Google Scholar]
- Ogasahara K., Matsushita E., Yutani K. Further examination of the intermediate state in the denaturation of the tryptophan synthase alpha subunit. Evidence that the equilibrium denaturation intermediate is a molten globule. J Mol Biol. 1993 Dec 20;234(4):1197–1206. doi: 10.1006/jmbi.1993.1670. [DOI] [PubMed] [Google Scholar]
- Privalov P. L. Cold denaturation of proteins. Crit Rev Biochem Mol Biol. 1990;25(4):281–305. doi: 10.3109/10409239009090612. [DOI] [PubMed] [Google Scholar]
- Ross P. D., Briehl R. W., Minton A. P. Temperature dependence of nonideality in concentrated solutions of hemoglobin. Biopolymers. 1978 Sep;17(9):2285–2288. doi: 10.1002/bip.1978.360170920. [DOI] [PubMed] [Google Scholar]
- Ross P. D., Minton A. P. Analysis of non-ideal behavior in concentrated hemoglobin solutions. J Mol Biol. 1977 May 25;112(3):437–452. doi: 10.1016/s0022-2836(77)80191-5. [DOI] [PubMed] [Google Scholar]
- Tellam R. L., Sculley M. J., Nichol L. W., Wills P. R. The influence of poly(ethylene glycol) 6000 on the properties of skeletal-muscle actin. Biochem J. 1983 Sep 1;213(3):651–659. doi: 10.1042/bj2130651. [DOI] [PMC free article] [PubMed] [Google Scholar]
- Tilton R. F., Jr, Dewan J. C., Petsko G. A. Effects of temperature on protein structure and dynamics: X-ray crystallographic studies of the protein ribonuclease-A at nine different temperatures from 98 to 320 K. Biochemistry. 1992 Mar 10;31(9):2469–2481. doi: 10.1021/bi00124a006. [DOI] [PubMed] [Google Scholar]
- Zimmerman S. B., Minton A. P. Macromolecular crowding: biochemical, biophysical, and physiological consequences. Annu Rev Biophys Biomol Struct. 1993;22:27–65. doi: 10.1146/annurev.bb.22.060193.000331. [DOI] [PubMed] [Google Scholar]
- Zipp A., Kauzmann W. Pressure denaturation of metmyoglobin. Biochemistry. 1973 Oct 9;12(21):4217–4228. doi: 10.1021/bi00745a028. [DOI] [PubMed] [Google Scholar]