Abstract
Upon biological self-assembly, the number of accessible translational configurations of water in the system increases considerably, leading to a large gain in water entropy. It is important to calculate the solvation entropy of a biomolecule with a prescribed structure by accounting for the change in water–water correlations caused by solute insertion. Modeling water as a dielectric continuum is not capable of capturing the physical essence of the water entropy effect. As a reliable tool, we propose a hybrid of the angle-dependent integral equation theory combined with a multipolar water model and a morphometric approach. Using our methods wherein the water entropy effect is treated as the key factor, we can elucidate a variety of processes such as protein folding, cold, pressure, and heat denaturating of a protein, molecular recognition, ordered association of proteins such as amyloid fibril formation, and functioning of ATP-driven proteins.








Similar content being viewed by others
Explore related subjects
Discover the latest articles and news from researchers in related subjects, suggested using machine learning.References
Amano K, Yoshidome T, Iwaki M, Suzuki M, Kinoshita M (2010) Entropic potential field formed for a linear-motor protein near a filament: statistical-mechanical analyses using simple models. J Chem Phys 133:045103
Amano K, Oshima H, Kinoshita M (2011) Potential of mean force between a large solute and a biomolecular complex: a model analysis on protein flux through chaperonin system. J Chem Phys 135:185101
Asakura S, Oosawa F (1958) Interaction between particles suspended in solutions of macromolecules. J Polymer Sci 33:183–192
Beglov D, Roux B (1997) An integral equation to describe the solvation of polar molecules in liquid water. J Phys Chem B 101:7821–7826
Ellis RJ, Minton AP (2003) Cell biology: join the crowd. Nature 425:27–28
Giacometti A, Lado F, Largo J, Pastore G, Sciortino F (2010) Effects of patch size and number within a simple model of patchy colloids. J Chem Phys 132:174110
Hansen-Goos H, Roth R, Mecke K, Dietrich S (2007) Solvation of proteins: linking thermodynamics to geometry. Phys Rev Lett 99:128101
Harano Y, Kinoshita M (2005) Translational-entropy gain of solvent upon protein folding. Biophys J 89:2701–2710
Harano Y, Yoshidome T, Kinoshita M (2008) Molecular mechanism of pressure denaturation of proteins. J Chem Phys 129:145103
Hirata F, Rossky PJ (1981) An extended RISM equation for molecular polar fluids. Chem Phys Lett 83:329–334
Imai T, Harano Y, Kinoshita M, Kovalenko A, Hirata F (2007) A theoretical analysis on changes in thermodynamic quantities upon protein folding: essential roles of hydration. J Chem Phys 126:225102
Karino Y, Matubayasi N (2011) Free-energy analysis of hydration effect on protein with explicit solvent: equilibrium fluctuation of cytochrome c. J Chem Phys 134:041105
Kinoshita M (2004) Ordered aggregation of big bodies with high asphericity in small spheres: a possible mechanism of the amyloid fibril formation. Chem Phys Lett 387:54–60
Kinoshita M (2006) Roles of entropic excluded-volume effects in colloidal and biological systems: analyses using the three-dimensional integral equation theory. Chem Eng Sci 61:2150–2160
Kinoshita M (2008) Molecular origin of the hydrophobic effect: analysis using the angle-dependent integral equation theory. J Chem Phys 128:024507
Kinoshita M (2009a) Roles of translational motion of water molecules in sustaining life. Front Biosci 14:3419–3454
Kinoshita M (2009b) Importance of translational entropy of water in biological self-assembly processes like protein folding. Int J Mol Sci 10:1064–1080
Kinoshita M, Harano Y (2005) Potential of mean force between solute atoms in salt solution: effects due to salt species and relevance to conformational transition of biomolecules. Bull Chem Soc Jpn 78:1431–1441
Kodama R, Roth R, Harano Y, Kinoshita M (2011) Morphometric approach to thermodynamic quantities of solvation of complex molecules: extension to multicomponent solvent. J Chem Phys 135:045103
Kusalik PG, Patey GN (1988a) The solution of the reference hypernetted-chain approximation for water-like models. Mol Phys 65:1105–1119
Kusalik PG, Patey GN (1988b) On the molecular theory of aqueous electrolyte solutions. I. The solution of the RHNC approximation for models at finite concentration. J Chem Phys 88:7715–7738
Mishima H, Yasuda S, Yoshidome T, Oshima H, Harano Y, Ikeguchi M, Kinoshita M (2012) Characterization of experimentally determined native-structure models of a protein using energetic and entropic components of free-energy function. J Phys Chem B 116:7776–7786
Oda K, Kodama R, Yoshidome T, Yamanaka M, Sambongi Y, Kinoshita M (2011) Effects of heme on the thermal stability of mesophilic and thermophilic cytochromes c: comparison between experimental and theoretical results. J Chem Phys 134:025101
Oshima H, Yoshidome T, Amano K, Kinoshita M (2009) A theoretical analysis on characteristics of protein structures induced by cold denaturation. J Chem Phys 131:205102
Oshima H, Yasuda S, Yoshidome T, Ikeguchi M, Kinoshita M (2011) Crucial importance of water-entropy effect for predicting hot spots in protein-protein complexes. Phys Chem Chem Phys 13:16236–16246
Palmer DS, Sergiievskyi VP, Jensen F, Fedorov MV (2010) Accurate calculations of the hydration free energies of druglike molecules using the reference interaction site model. J Chem Phys 133:044104
Perkyns JS, Pettitt BM (1992) A site-site theory for finite concentration saline solutions. J Chem Phys 97:7656–7666
Poletto C, Giacometti A, Trovato A, Banavar JR, Maritan A (2008) Emergence of secondary motifs in tubelike polymers in a solvent. Phys Rev E 77:61804
Roth R, Harano Y, Kinoshita M (2006) Morphometric approach to the solvation free energy of complex molecules. Phys Rev Lett 97:078101
Snir Y, Kamien RD (2007) Helical tubes in crowded environments. Phys Rev E 75:051114
Uchihashi T, Iino R, Ando T, Noji H (2011) Science 333:755–758
Vrij A (1976) Polymers at interfaces and the interactions in colloidal suspensions. Pure Appl Chem 48:471–483
Yasuda S, Yoshidome T, Oshima H, Kodama R, Harano Y, Kinoshita M (2010) Effects of side-chain packing on the formation of secondary structures in protein folding. J Chem Phys 132:065105
Yasuda S, Yoshidome T, Harano Y, Roth R, Oshima H, Oda K, Sugita Y, Ikeguchi M, Kinoshita M (2011) Free-energy function for discriminating the native fold of a protein from misfolded decoys. Proteins 79:2161–2171
Yasuda S, Oshima H, Kinoshita M (2012) Structural stability of proteins in aqueous and nonpolar environments. J Chem Phys 137:135103
Yoshida N, Imai T, Phongphanphanee S, Kovalenko A, Hirata F (2009) Molecular recognition studied by statistical-mechanical integral-equation theory of liquids. J Phys Chem B 113:873–886
Yoshidome T, Kinoshita M (2012) Physical origin of hydrophobicity studied in terms of cold denaturation of proteins: comparison between water and simple fluids. Phys Chem Chem Phys 14:14554–14566
Yoshidome T, Kinoshita M, Hirota S, Baden N, Terazima M (2008) Thermodynamics of apoplastocyanin folding: comparison between experimental and theoretical results. J Chem Phys 128:225104
Yoshidome T, Harano Y, Kinoshita M (2009) Pressure effects on structures formed by the entropically driven self-assembly: illustration for denaturation of proteins. Phys Rev E 79:011912
Yoshidome T, Ito Y, Ikeguchi M, Kinoshita M (2011) Rotation mechanism of F1-ATPase: crucial importance of the water-entropy effect. J Am Chem Soc 133:4030–4039
Yoshidome T, Ito Y, Matubayasi N, Ikeguchi M, Kinoshita M (2012) Structural characteristics of yeast F1-ATPase before and after 16° rotation of the γ subunit: theoretical analysis focused on the water-entropy effect. J Chem Phys 137:035102
Acknowledgments
The author thanks all the collaborators. Sincere appreciation should be expressed to Prof. Kuniaki Nagayama for his continuous encouragement. This work was supported mainly by Grants-in-Aid for Scientific Research on Innovative Areas (No. 20118004) from the Ministry of Education, Culture, Sports, Science and Technology of Japan.
Conflict of interest
None.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kinoshita, M. A new theoretical approach to biological self-assembly. Biophys Rev 5, 283–293 (2013). https://doi.org/10.1007/s12551-013-0100-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s12551-013-0100-8