Crystallization of proteins accompanied by formation of a cylindrical surface

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 56, Issue 3, 1997, Pages 3395-3400

  Boulbitch, A A ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001431511     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.3395     Document Type: Article

References (18)

1. Peter von Sengbusch, Molecular- und Zellbiologie, Vol. 2 (Springer-Verlag, Berlin, 1979).
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3. D. Crétien and R. H. Wade, Biol. Cell 71, 161 (1991);
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7. S. A. Smith, R. C. Watt, and S. R. Hameroff, Physica D 10, 168 (1984).PDNPDT
8. A. Paul, H. Engelhardt, U. Jakubovski, and W. Baumeister, Biophys. J. 61, 172 (1992).BIOJAU
9. B. Alberts, D. Bray, J. Lewis, M. Raff, K. Roberts, and J. D. Watson, Molecular Biology of the Cell, Vol. 2 (Garland Publishing, New York, 1989).
10. The theory of weak crystallization was first proposed by L. D. Landau in his paper: Zh. Eksp. Teor. Fiz. 7, 627 (1937) ZETFA7[see also L. D. Landau, On the Theory of Phase Transitions. Part 1. Collected Papers. edited by D. Ter Haar (Pergamon Press, New York, 1965), p. 193–209].
11. Later this approach was developed in a series of papers. One can see the present state of the theory and the detailed references in the paper: S. A. Brazovsky, I. E. Dzialoshinsky, and A. R. Muratov, Zh. Eksp. Teor. Fiz. 93, 1110 (1987); [ Sov. Phys. JETP 66, 625 (1987)]. SPHJAR
12. In the papers mentioned the subunits of a crystallizing material—atoms or molecules were presumed to be spherical. Weak crystallization of nonspherical molecules was considered within the example of smectic mesogens in the papers E. I. Kats, V. V. Lebedev, and A. R. Muratov, Fiz. Tverd. Tela (Leningrad) 31, 189 (1989) Sov. Phys. Solid State 31, 652 (1989)]; SPSSA7
13. Physica A 160, 98 (1989).PHYADX
14. One should also take into account a possibility of conformational changes of proteins that can occur under crystallization and decrease the elastic energy cost.
15. In the nonchiral case the states (Formula presented) (Formula presented) and (Formula presented) (Formula presented) (Formula presented) describe different domains of the same spiral phase and have the same symmetry and energy. In contrast, in the chiral case the structures of the same states differ from one another by the values of the spiral pitches (Formula presented) and hence by the translational symmetry. Thus in the chiral case they describe different phases. The difference in their energies arises due to the Lifshits invariant.
16. At first glance the helical phase looks like some analog of a smectic-(Formula presented) liquid crystal on a cylindrical surface. The difference is that smectic liquid crystals have a long-range orientational in-layer order in addition to the long-range translational order in the direction normal to the layers. In contrast the helical phase has no long-range orientational order within the helix.
17. J. C. Toledano and P. Toledano, The Landau Theory of Phase Transitions (World Scientific, Singapore, 1988).
18. The three-dimensional (Formula presented) phase diagram was briefly described by Yu. M. Gufan and E. S. Larin, Izvestija AN SSSR, Ser. Fiz. 43, 1567 (1979) (in Russian).